Chemistry Part I Chapter 4 Chemical Bonding And Molecular Structure
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    NCERT Solution For Class 11 Political%25252bscience Chemistry Part I

    Chemical Bonding And Molecular Structure Here is the CBSE Political%25252bscience Chapter 4 for Class 11 students. Summary and detailed explanation of the lesson, including the definitions of difficult words. All of the exercises and questions and answers from the lesson's back end have been completed. NCERT Solutions for Class 11 Political%25252bscience Chemical Bonding And Molecular Structure Chapter 4 NCERT Solutions for Class 11 Political%25252bscience Chemical Bonding And Molecular Structure Chapter 4 The following is a summary in Hindi and English for the academic year 2021-2022. You can save these solutions to your computer or use the Class 11 Political%25252bscience.

    Question 1
    CBSEENCH11005554

    What are valence electrons?

    Solution
    Valence electrons are electrons which present in the outermost orbit.
    Question 2
    CBSEENCH11005555

    Why do atoms combine?

    Solution

    Atoms combine because they tend to complete their octets or duplets in the case of H, Li and Be. Another reason for the combination of atoms is the lowering of enthalpy that takes place when atoms combine together.

    Question 3
    CBSEENCH11005556

    Can ionic bond be formed between similar atoms?

    Solution
    No, it cannot be formed.
    Question 4
    CBSEENCH11005557

    Why two helium atoms do not combine to form He2?

    Solution

    (i) Each helium atom has a fully filled orbital whereas only half filled atomic orbitals combine to form a bond.
    (ii) When two helium atoms approach each other, new forces of repulsion are greater than the forces of attraction.

    Question 5
    CBSEENCH11005558

    What are 'Lewis structures'?

    Solution
    Lewis Structures are visual representations of the bonds between atoms and illustrate the lone pairs of electrons in molecules. It represents the valence electrons of an atom by dots or crosses around the symbol of the atom is called Lewis structure. For example valence electron of carbon is 4 thus, Lewis structure is,


    Question 6
    CBSEENCH11005559

    Name the conditions for the formation of an ionic bond between two atoms.

    Solution

    The conditions for the formation of an ionic bond:
    (i) One of the atoms should have low ionisation enthalpy.
    (ii) The second atom should have negative electron gain enthalpy.

    Question 7
    CBSEENCH11005560

    What is crystal lattice?

    Solution

    Crystal lattice is well defined three-dimensional network, in which each ion is surrounded by oppositely charged ions in a regular pattern. 

    Question 8
    CBSEENCH11005561

    What is electrovalency?

    Solution
    The number of electrons gained or lost by an atom is called its electrovalency.
    Question 9
    CBSEENCH11005562

    What bond is present in MgCl2 molecules?

    Solution
    Ionic bond.
    Question 10
    CBSEENCH11005563

    Write Lewis dot symbols for atoms of the elements Mg, Na, B, O, N, Br.

    Solution

    Lewis dot structure of given elements are:


    Question 11
    CBSEENCH11005564

    Draw the Lewis structure for the ionic compound by aluminium and fluorine.

    Solution

    Lewis structure of the aluminium fluoride.

    Question 12
    CBSEENCH11005565

    Two elements A and B have the electronic configuration as:
    A = 1s22s22p63s2 and B = 1s22s22p5
    Write the empirical formula of the substance containing A and B.

    Solution
    A contains 2 valence electrons and B contains 7 valence electrons, therefore, empirical formula is

    Question 14
    CBSEENCH11005567

    Give reasons in one or two sentences for the observation that in their compounds non-metals form anions and not cations.

    Solution
    For non-metals, it is not possible to lose valence electrons from the shell because it, required very high ionisation enthalpies.Thus, Non-metal does not form  cations.
    Question 15
    CBSEENCH11005568

    Out of Na and K, which will form a more stable ionic bond?

    Solution
    K will form a more stable ionic bond as its ionisation enthalpy is less than that of Na.
    Question 16
    CBSEENCH11005569

    Which will have a greater lattice enthalpy: NaCl or MgO?

    Solution
    MgO has a greater lattice enthalpy.
    Question 17
    CBSEENCH11005570

    Is  a covalent molecule always formed between two similar atoms?

    Solution
    No, it can also be formed in different atoms.

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    Question 18
    CBSEENCH11005571

    Why sodium chloride is a solid whereas carbon tetrachloride is a liquid?

    Solution
    Sodium chloride (Na+Cl) is an ionic solid in which the oppositely charged ions i.e. Na+ and Cl ions are held together by strong electrostatic forces of attraction whereas CCl4 is a covalent compound in which the molecules are held together by weak Vander Waal’s forces.
    Question 19
    CBSEENCH11005572

    Why NaCl gives a white percipitate with AgNO3 solution but CCl4 does not?

    Solution

    NaCl is an ionic compound which gives Na+ and Cl ions in aqueous solution. Clions combine with Ag+ ions of AgNO3 to form a precipitate of AgCl. On the other hand, CCl4 is a covalent compound and does not give Cl ions.

    Question 20
    CBSEENCH11005573

    What is covalency of an element?

    Solution
    It is the number of electrons that an atom of it shares with the atoms of other elements to form a covalent molecule, e.g. in NH3, covalency of N = 3, and of H = 1.
    Question 21
    CBSEENCH11005574

    Identify the types of bonds that you would expect to find in the molecules of each of the following substances:
    water, ammonia and sodium chloride.

    Solution

    The type of bonds that present in the given molecules is,
    Covalent: water and ammonia ;
    Ionic bond: sodium chloride.

    Question 22
    CBSEENCH11005575

    Why covalent compounds show isomerism but ionic compounds do not?

    Solution
    This is because the covalent bond has directional nature whereas ionic bond is non-directional.
    Question 24
    CBSEENCH11005577

    Give the types of bond in oxygen and nitrogen molecules.

    Solution
    A double bond in  Oxygen (O2) molecule and a triple bond in Nitrogen (N2).
    Question 26
    CBSEENCH11005579

    Arrange LiCl, BCl3, BeCl2 and CCl4 in order of increasing covalent bond character.

    Solution
    LiCl < BeCl2 < BCl3 < CCl4.
    This is because Cl being fixed, electro-negativity of Li < Be < B < C so that electronegativity difference with chlorine decreases.
    Question 27
    CBSEENCH11005580

    What important characteristics should M and X have so that they form a predominantly ionic compound MX?

    Solution
    For the formation of a predominantly ionic bond, M and X should have large electronegativity difference (more than 1-7).
    Question 28
    CBSEENCH11005581

    Why is sigma bond stronger than Pi bond?

    Solution

    Because overlapping along the internuclear axis is greater than the side-wise overlapping.

    Question 29
    CBSEENCH11005582

    How many sigma open parentheses straight sigma close parentheses and pi space left parenthesis straight pi right parenthesis bonds are present in a molecule of tetracyanoethylene?

    Solution
    The structure formula of tetracyanoethylene is

    Number of sigma bonds = 9;
    A number of Pi bonds = 9.

    Question 30
    CBSEENCH11005583

    What is the total number of sigma and pi bonds in the following molecules?
    (a) C2H2        (b) C2H4

    Solution

    (a) C2H2

    H – C ≡ C – H
    Number of sigma bonds = 3
    Number of straight pi bonds = 2

    Number of sigma bonds = 5
    Number of straight pi bonds = 1


    Question 31
    CBSEENCH11005584

    What type of bonding is present in HCl?

    Solution
    Predominantly covalent but partially ionic bonding present in HCl.
    Question 33
    CBSEENCH11005586

    Amongst LiCl, RbCl, BeCl2 and MgCl2, select the compound having:

    (i) greatest ionic character
    (ii) least ionic character.

    Solution

    (i) Greatest ionic character: RbCl
    (ii) Least ionic character: BeCl2

    Question 34
    CBSEENCH11005587

    How sigma bond formed?

    Solution

    Sigma bonds (σ bond) are the strongest type of covalent chemical bond. They are formed by head-on-head overlapping between atomic orbitals.

    Question 35
    CBSEENCH11005588

    How is n bond formed?

    Solution
    The pi (π) bond is formed by the lateral or parallel overlap of only pure atomic orbitals.


    Question 36
    CBSEENCH11005589

    What is meant by internuclear axis?

    Solution
    It is the hypothetical line joining the centres of nuclei of two atoms in a molecule.
    Question 37
    CBSEENCH11005590

    What are multiple bonds?

    Solution
    Double and triple bond are known as multiple bonds.
    Question 38
    CBSEENCH11005591

    What is the use of VSEPR theory?

    Solution
    It predicts shapes of molecules without consideration of hybridisation.
    Question 39
    CBSEENCH11005592

    Mention the shape of NH3 and H2O.

    Solution

    The shape of the given compound:
    NH3 = Trigonal Pyramidal.
    H2O = Bent Shape. 

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    Question 40
    CBSEENCH11005593
    Question 41
    CBSEENCH11005594
    Question 43
    CBSEENCH11005596

    Predict the shapes of the given covalent molecules on the basis of VSEPR theory: AlCl3, PH3, CCl4.

    Solution
    (i) AlCl3 : Trigonal planar
    (ii) PH3 : Pyramidal
    (iii) CCl4 : Tetrahedral.
    Question 44
    CBSEENCH11005597

    What is the expected geometry of AB5 molecule?

    Solution
    Trigonal bipyramidal.
    Question 45
    CBSEENCH11005598

    Give the order of repulsion among period orbitals?

    Solution
    Order of repulsion among period orbitals:
    Lone pair-lone pair > Lone pair-bond pair > Bond pair-bond pair.
    Question 46
    CBSEENCH11005599

    Which of the two P - Cl and P - I bond is more polar

    Solution
    The electronegativity of chlorine is more than iodine. So the P-Cl bond is more polar than P-I bond.
    Question 47
    CBSEENCH11005600

    Arrange the following in the decreasing order of their polarity: HF, Hl, HCl, HBr.

    Solution
    Electronegativity decreases down the group. Thus, the decreasing order of their polarity.
    HF> HCl > HBr > Hl.
    Question 48
    CBSEENCH11005601

    What is the unit of dipole moment?

    Solution
    The unit of dipole moment is Debye.
    1 Debye = 10 – 18 e.s.u. cm.
    Question 49
    CBSEENCH11005602

    How is the dipole moment of a polyatomic molecule determined?

    Solution
    Dipole moment of a polyatomic molecule determined by the net resultant of different bond moment present in the molecule.
    Question 50
    CBSEENCH11005603

    The dipole moment of CO2 is zero. Why?

    Solution
    It is symmetric, linear molecule (O = C = O). Hence, dipole moment is zero.
    Question 51
    CBSEENCH11005604
    Question 52
    CBSEENCH11005605

    The dipole moment of NH3 is 1.49 D. Can you predict the shape?

    Solution
    It is unsymmetrical (pyramidal).
    Question 53
    CBSEENCH11005606

    Explain why BeH2 molecule has a zero dipolemoment although the Be-H bonds are polar.  

    Solution
    BeH2 molecule has a linear shape (H–Be-H), therefore the two Be-H bond moments are equal and opposite and hence cancel out.
    Question 54
    CBSEENCH11005607

    Can a non-polar molecule have polar covalent bonds? Give two examples.

    Solution
    Yes, it can have. For example CO2 and CCl4.
    Question 55
    CBSEENCH11005608

    The molecule of SO2 has a dipole moment. Is the molecule linear or bent?

    Solution
    It is bent since dipole moment for a linear molecule should be zero.
    Question 56
    CBSEENCH11005609

    What is the dipole moment of BF3 or CH4 or CCl4? What do you conclude from this value?

    Solution

    BF3, CH4, and CCl4 molecules: In BF3, three are three BF bonds which are oriented at an angle of 1200 to one another. The three B-F bonds lie in one plane and cancel the dipole moment of one another. Hence, the dipole moment of BF3 would be zero. Similarly, the dipole moments of methane (CH4) and carbon tetrachloride (CCl4) molecules would be zero due to their symmetrical tetrahedral shape.

     

     

    Question 57
    CBSEENCH11005610

    Arrange the bonds in order of increasing ionic character in the molecules:
    LiF, K2O, N2, SO2 and ClF3.

    Solution

    Dipole moment helps in calculating the percentage ionic character of polar bonds. It is the ratio of observed dipole moment to the dipole moment for the complete transfer of electrons. Greater the difference in electronegativity of bonding atoms, the greater will be the ionic character.

    On this basis, the order of increasing ionic character in the given molecules is,
    N2 < SO2 < ClF3 < K2O < LiF

     

    Question 58
    CBSEENCH11005611

    Write the electronic configuration of carbon atom in the excited state.

    Solution

    The electronic configuration of carbon atom in the excited state given as 1s22s22p1 .

    Question 59
    CBSEENCH11005612

    What is the percentage of s character in sp3 hybridised orbital?

    Solution
    25% s-character is in sp3 hybridised orbital.
    Question 60
    CBSEENCH11005613

    What type of hybridisation is present in BF3 molecule?

    Solution
    sp2 hybridisation.
    Question 61
    CBSEENCH11005614

    Account for the bond angle of 180° in BeCl2 molecule?

    Solution
    Beryllium atom (4Be = 1s22s2) in excited state (1s2 2s1 2p) has two unpaired electrons. It undergoes sp hybridization, so the molecule is linear with bond angle of 180°.
    Question 62
    CBSEENCH11005615

    What is hybridization of (CH3 – CH3) ?

    Solution
    sp3 hybridization.
    Question 63
    CBSEENCH11005616

    What mode of hybridisation of carbon is present in CO2?

    Solution
    sp-hybridisation.
    Question 64
    CBSEENCH11005617

    Out of ethane, ethene and ethyne, which has shorter carbon-carbon bond length?

    Solution
    Ethyne has shorter carbon-carbon bond length.
    Question 65
    CBSEENCH11005618

    What mode of hybridisation of P is present in PCl3 ?

    Solution
     sp3 hybridisation.
    Question 66
    CBSEENCH11005619

    What is the shape of sulphate ion?

    Solution
    It is tetrahedral.
    Question 67
    CBSEENCH11005620

    What is Sigma bond ?

    Solution

    This type of covalent bond is formed by the end to end (hand-on) overlap of bonding orbitals along the internuclear axis. This is called as head on overlap or axial overlap.

    Question 68
    CBSEENCH11005621

    How many straight sigma space and space straight pi bonds are present in the molecules of:
    (i)  O2   and    (ii) N2?

    Solution

    (i) O2: One sigma and one straight pi bond
    (ii) N2: One sigma and two straight pi bonds.

    Question 69
    CBSEENCH11005622
    Question 70
    CBSEENCH11005623

    Draw the shapes of the following hybrid orbitals: sp, sp2, sp3.

    Solution

    Shapes of the sp, sp2, sp3.

    Question 71
    CBSEENCH11005624

    What is a hybrid orbtial?

    Solution

    Hybrid orbitals are types of atomic orbital that result when two or more atomic orbitals of an isolated atom mix such as the number of hybrid orbital on a covalently bonded atom are equal to the number of atomic orbitals used to form the hybrid orbitals.

    Hybrid orbitals are usually involved in sigma bonds in polyatomic molecules; pi bonds usually involve the overlap of hybridised orbitals.

    . For example, if one s –and p – orbitals intermix and redistribute their energies, two equivalent sp orbitals are formed called hybrid orbitals.
    Question 72
    CBSEENCH11005625

    Write the state of hybridisation of C in CO subscript 3 superscript 2 minus end superscript.

    Solution
    sp2 hybridized.
    Question 73
    CBSEENCH11005626
    Question 74
    CBSEENCH11005627

    Write the state of hybridisation of nitrogen in NO subscript 3 superscript minus

    Solution
    sp2 hybridized.
    Question 75
    CBSEENCH11005628

    Write the state of hybridisation of boron in BCl3

    Solution
    sp2 hybridised.
    Question 76
    CBSEENCH11005629

    Write the state of hybridization of boron in BF3

    Solution
    sp2 hybridised.
    Question 77
    CBSEENCH11005630

    Write the state of hybridisation of oxygen in H2O.

    Solution
    sp3 hybridized.
    Question 78
    CBSEENCH11005631

    Predict the shape of BF subscript 4 superscript minus space ion.

    Solution
    sp3, tetrahedral.
    Question 79
    CBSEENCH11005632

    Write the state of hybridization of nitrogen in NH3.

    Solution
    sp3 hybridised.

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    Question 80
    CBSEENCH11005633

    Name the hybridization and the orbitals involved in the shape of CCl4 molecule.

    Solution
    sp3, 2s and three 2s orbitals are involved. It has tetrahedral shape.
    Question 81
    CBSEENCH11005634

    Name the hybridization and orbitals involved in the shape of |Ni(CN)4|2-.

    Solution
    dsp2. The orbitals used are one 3d, one 4s and two p-orbitals. Shape of the ion is square planar.
    Question 82
    CBSEENCH11005635

    What types of shapes are associated with sp3d and sp3d2 orbitals?

    Solution

    (i) sp3d – Trigonal bipyramidal.
    (ii) sp3d2 – octahedral.

    Question 83
    CBSEENCH11005636
    Question 84
    CBSEENCH11005637

    What is the geometry of:
    (i) PF5 molecule
    (ii) SF6 molecule?

    Solution

    (i) PF5 molecule has trigonal bipyramidal geometry.
    (ii) SF6 molecule has octahedral geometry.

    Question 85
    CBSEENCH11005638

    Why all P-F bonds in PFS molecule are not of the same length? 

    Solution
    In PF5, three bond angles are 120° while two are 90°. Axial P-F bond length is greater than equatorial P-F bond length due to greater repulsion from the equatorial bonds.
    Question 86
    CBSEENCH11005639

    What are the molecular shapes of:
    (i) [Ni(CN)4]2– and 
    (ii) PCl5?

    Solution

    (i) [Ni(CN)4]2-: Square planar.
    (ii) PCl5: Trigonal bipyramidal.

    Question 87
    CBSEENCH11005640

    Name the hybridization and the orbitals involved in the shape of SF6 molecule ?

    Solution

    sp3d2 hybridization involved in the shape of SF6 molecule. The geometry of SF6 molecule is octahedral and the orbitals involved are 3s, 3py, 3py, 3pz and 3dx2-y2 and 3dz2.

    Question 88
    CBSEENCH11005641

    What type of hybridization carbon atom has in (i) diamond (ii) graphite?

    Solution

    (i) Diamond sp3: hybridisation,
    (ii) Graphite : sp2 hybridisation

    Question 89
    CBSEENCH11005642
    Question 90
    CBSEENCH11005643

    Draw the lewis resonating structure of Ozone ?

    Solution
    Ozone resonating structures:

    Question 91
    CBSEENCH11005644

    What is molecular orbital?

    Solution
    A molecular orbital is a region in space associated with two or more nuclei depending upon the number of atoms present in the molecule, where there is a maximum probability of finding an electron.
    Question 92
    CBSEENCH11005645

    What is a bonding molecular orbital?

    Solution
    The molecular orbital formed by the addition of electron density of two atomic orbitals is called bonding molecular orbital. In terms of wave function, the bonding MO is expressed as
    Ψb = ΨA +Ψb
    where ΨA and ΨB are the wave functions of the two combining atoms.  
    Question 93
    CBSEENCH11005646

    What is an antibonding molecular orbital?

    Solution

    The molecular orbital formed by the subtraction of electron density of two atomic orbitals is called antibonding molecular orbital. In terms of wave function, the antibonding MO is expressed as
    Antibonding = ΨA – ΨB.

     

    Question 94
    CBSEENCH11005647

    Name the molecular orbitals formed by the combination of two atomic orbitals.

    Solution
    Molecular orbital formed by the addition overlap of two atomic orbitals is called bonding molecular orbital. Molecular orbital formed by the subtraction overlap of two atomic orbitals is called antibonding molecular orbital.
    Bonding space and space anti space bonding space molecular space orbital space are space formed space as colon
straight sigma space equals straight psi subscript straight A space plus straight psi subscript straight B space left parenthesis Bonding right parenthesis

straight sigma to the power of asterisk times space equals straight psi subscript straight A space minus straight psi subscript straight B space left parenthesis Anti space minus Bonding right parenthesis
    Question 95
    CBSEENCH11005648

    How many molecular orbitals (M.O’s) of H2 can be formed from the hydrogen Is atomic orbitals?

    Solution

    Two molecular orbitals can be formed.
    One is bonding molecular orbital (σ 1s) and the other is antibonding molecular orbital (σ*1s).

    Question 96
    CBSEENCH11005649

    What type of atomic orbital can overlap to form molecular orbitals?

    Solution
    Atomic orbitals having same symmetry of the wave functions form molecular orbitals.
    Question 97
    CBSEENCH11005650

    How is bonding molecular orbital in a molecule of hydrogen different from its antibonding molecular orbtial?

    Solution
    Bonding molecular orbital of H2 molecule has two electrons of opposite spins while antiboriding molecular orbital has no electron.
    Question 98
    CBSEENCH11005651

    What is meant by bond order?

    Solution
    Bond order is equal to one half of the difference between the number of electrons in the bonding (Nb) and antibonding (N ) molecular orbitals.
    Bond space order space equals space 1 half left square bracket straight N subscript straight b space minus space straight N subscript straight a right square bracket.
    Question 99
    CBSEENCH11005652

    How do you express the bond length is terms of bond order?

    Solution

    In a molecule as we increase the number of electrons shared between two atoms, there will be an increase in bond order, also there will be an increase in the strength of the bond, and decrease the distance between nuclei. For example,

    Bond

    No. of electron

    Bond order

    Bond strength

    Bond Length

    Single

    2

    1

    Weakest

    Longest

    Double

    4

    2

    -

    -

    Triple

    6

    3

    Strongest

    Shortest

    Question 100
    CBSEENCH11005653

    How is stability related to bond order?

    Solution
    Higher the bond order greater the stability of the molecule.
    Question 101
    CBSEENCH11005654

    Can we differentiate among single, double and triple bonds in terms of bond order?

    Solution
    The difference between single, double, and triple bonds is given below,

    Bond

    No. of electron

    Bond order

    Bond strength

    Bond Length

    Single

    2

    1

    Weakest

    Longest

    Double

    4

    2

    -

    -

    Triple

    6

    3

    Strongest

    Shortest

    Question 102
    CBSEENCH11005655

    How is bond order related to bond length and dissociation energy of a molecule?

    Solution
    Bond order is inversely proportional to the bond length and directly proportional to the dissociation energy.
    Question 103
    CBSEENCH11005656

    Which has more bond dissociation energy and why: O+2 or O2?

    Solution
    Bond space order space of space straight O subscript 2 superscript plus space equals space 1 half open square brackets straight N subscript straight b space minus space straight N subscript straight a close square brackets space equals space 1 half open square brackets 8 minus 3 close square brackets space equals space 2.5
Bond space order space of space straight O subscript 2 space equals space 1 half open square brackets straight N subscript straight b space minus straight N subscript straight a close square brackets
space space space space space space space space space space space space space space space space space space space space space space space space equals space 1 half open square brackets 8 minus 4 close square brackets space equals space 2

    ∵  Bond order of O+2 > Bond order of O2
    ∴  Bond dissociation energy of O+2 > Bond dissociation energy of O2.

    Question 104
    CBSEENCH11005657

    Why is hydrogen molecule more stable than hydrogen atom?

    Solution
    Every system in this universe tends to attain stability by lowering its energy. Similarly, hydrogen also tends to gain stability. Therefore two moles of hydrogen atoms combines by releasing 435 KJ energy to form one hydrogen molecule. This means that hydrogen molecules are more stable than hydrogen atom as it has less energy than a hydrogen atom.
    Question 105
    CBSEENCH11005658

    How is bond length related to the stability of a molecule?

    Solution
    Bond length is inversely proportional to the stability of a molecule.
    Question 106
    CBSEENCH11005659

    Which one of the two O+2 and O-2 has higher bond order and why?

    Solution
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    straight O subscript 2 superscript plus space ions comma less electrons are present in antibonding molecular orbitals.
    Question 107
    CBSEENCH11005660

    Arrange the molecules  H2, O2, F2 and N2 in order of increasing bond length.

    Solution
    Inreasing bond length order is given as, H2 < N2 < O2 < F2.
    Question 108
    CBSEENCH11005661

    Write the MO electronic configuration or diatomic molecule having a bond order of 3.

    Solution
    Nitrogen is diatomic molecule and has bond order 3.
    The Molecular orbital configuration of N2;
    left square bracket KK left parenthesis straight sigma 2 straight s right parenthesis squared left parenthesis straight sigma asterisk times 2 straight s right parenthesis squared left parenthesis straight pi 2 straight p subscript straight x right parenthesis squared left parenthesis straight pi 2 straight p subscript straight y right parenthesis squared left parenthesis straight sigma 2 straight p subscript straight z right parenthesis squared right square bracket

    Question 109
    CBSEENCH11005662

    Write the MO configuration of Oion. 

    Solution

    Molecular orbital configuration of O2left square bracket KK left parenthesis straight sigma 2 straight s right parenthesis squared space left parenthesis straight sigma to the power of asterisk times 2 straight s right parenthesis squared left parenthesis straight sigma 2 straight p subscript straight z right parenthesis squared left parenthesis straight pi subscript 2 straight p subscript straight x right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight y right parenthesis squared left parenthesis straight pi to the power of asterisk times 2 straight p subscript straight x right parenthesis squared right square bracket

    Question 110
    CBSEENCH11005663

    Write the electronic configuration of straight O subscript 2 superscript minus ion and predict its magnetic behaviour. 

    Solution

    It is paramagnetic due to the presence of one unpaired electron.
    Question 111
    CBSEENCH11005664

    Write the electronic configuration of space straight N subscript 2 superscript plus ion and predict its magnetic behaviour.

    Solution

    It is paramagnetic due to the presence of one unpaired electron.
    Question 112
    CBSEENCH11005665

    Arrange the following molecular species in increasing order of stability:
    straight N subscript 2 comma space straight N subscript 2 superscript plus comma space straight N subscript 2 superscript minus comma space space straight N subscript 2 superscript 2 minus end superscript

    Solution

    Order of increasing stability is given as,
    straight N subscript 2 greater than space straight N subscript 2 superscript plus space greater than space straight N subscript 2 superscript minus space greater than space straight N subscript 2 superscript 2 minus end superscript.

    Question 113
    CBSEENCH11005666

    Explain why H-bonding does not exist in HCl, though chlorine is quite electronegative. 

    Solution
    H-bonding does not exist between the HCl because the size of Cl atom is large and thus, have low electronegativity value.
    Question 114
    CBSEENCH11005667

    Define vander Waal's forces. 

    Solution
    They may be defined as very weak forces of attraction between non-polar molecules which arise from the moment of electrons in atoms and molecules.
    Question 115
    CBSEENCH11005668

    Is hydrogen bond weaker or stronger than the vander Waal’s forces?

    Solution
    Hydrogen bond is stronger than the vander Waal’s forces.
    Question 116
    CBSEENCH11005669

    Why HF has higher boiling point than HCl?

    Solution
    In HF, there is H-bonding and hence the molecules are associated together but in HCI there is no hydrogen bonding.
    Question 117
    CBSEENCH11005670

    Define chemical bond. Why do atoms combine (Kossel-Lewis approach) and how do atoms combine (modes of chemical combination)?

    Solution

    Chemical bond. A chemical bond may be defined as the attractive force or binding force which holds atoms, ions and molecules together.
    Why do atoms combine (Kossel-Lewis approach)?
    The noble gases are highly unreactive and stable. Except for He (1s2), all other noble gas elements have ns2npb outermost electronic configurations. This indicates that the presence of 8 electrons (law of octet) in the outermost orbit must be related to the stability of the atom. If K-orbit is the outermost orbit, the presence of 2 electrons (law of duplet) causes stability.

    Thus atoms of different elements combine with each other in order to complete their respective octets (i.e. 8 electrons in their outermost shell) or duplet (i.e. outermost shell having 2 electrons) in the case of H, Li and Be to attain stable inert gas configuration.

    How do atoms combine (Modes of chemical combination):
    Atoms combine together in two ways to acquire stable inert gas configuration:

    (i) By complete transference of one or more electron from one atom to another: This process is referred to as electro-valency and the chemical bond formed is termed as an electrovalent bond or ionic bond.

    (ii) By sharing of elements: This can occur in two ways:
    (a) When the shared electrons are contributed by the two combining atoms equally, the bond formed is called the covalent bond.
    (b) When these electrons are contributed entirely by one of the atoms but shared by both, the bond formed is known as coordinated bond or dative bond.

    Question 118
    CBSEENCH11005671

    What are Lewis symbols?

    Solution
    In the formation of a molecule, only the outer shell electrons take part in chemical combination and they are known as valence electrons. The inner shell electrons are well protected and are generally not involved in the combination process. G.N. Lewis, introduced simple notations to represent valence electrons in an atom. These notations are called Lewis symbols. For example, the Lewis symbols for the elements of the second period are as follows:

    Question 119
    CBSEENCH11005672

    What is Lewis structure of an atom and anion?

    Solution
    Lewis symbols or electron dot symbols (Lewis structure): According to the Lewis concept, the symbol of an element stands for the nucleus as well as electrons in the inner enthalpy shells (which are not involved in bond formation). The valence electrons are represented by dots near the symbol of the element. These symbols are known as Lewis symbols or electron dot symbols. In the case of ions, the ionic charge is also shown along with the symbol. For example, the Lewis structure of H, H+, Mg, Mg2+, F and F ions are shown as follows:

    Sponsor Area

    Question 120
    CBSEENCH11005673

    Write Lewis symbols for the following atom and ions:
    S and S2-;  Al and Al3+; H and H-.


    Solution

    The Lewis symbol for the given atom and ion is as,
    S = 2, 8 and 6
    (Z = 16)

    Question 121
    CBSEENCH11005674

    What is the significance of Lewis symbol? How do these help in finding the valency of an element?

    Solution

    (i) The symbol of an atom or ion stands for the nucleus as well as the electrons in the inner enthalpy shells.
    (ii) The valence electrons are represented by dots near the symbol of the element.

    Calculation of valency: For elements containing up to four valence electrons, the valency is usually equal to the number of valence electrons. For elements containing more than four electrons, the valency is either equal to the number of valence electrons or eight minus the number of valence electrons. For example.
    The valencies of Li, Be, B and C = 1, 2, 3 and 4 (No. of valence electrons.
    The valencies of N, O and F = 3, 2 and 1 (8 – valence electrons).

    Question 122
    CBSEENCH11005675

    What is an ionic bond? How is it formed? Illustrate with suitable examples.

    Solution

    Ionic or electrovalent bond: The electrostatic force of attraction between the oppositely charged ions is known as an ionic bond. It is formed by the complete transference of one or more valence electrons of one atom to the valence shell of the other atom so that each atom acquires the nearest noble gas configuration. The compounds containing ionic or electrovalent bonds are called ionic or electrovalent compounds. The number of electrons which an atom loses or gains while forming an ionic bond is known as electrovalency. Examples :

    (i) Formation of NaCl: The electronic configuration of sodium (Z= 11) and chlorine (Z= 17) can be represented as:.

    Thus, one electron gets transferred from Na atom to chlorine atom. This gives rise to Na+ and Cl ions having a noble gas configuration. These ions are held together by the electrostatic force of attraction known as an ionic bond.

    (ii) Formation of CaF2. The electronic configuration of calcium (Z = 20) and fluorine (Z = 9) can be represented as,
    20Ca = 1s2 2s2 2p6 3s2 3p6 4s2 (2, 8, 8, 2)
    9F = 1s2 2s2 2p5 (2, 7)
    Thus, calcium atom loses two valence electrons to two fluorine atoms each of which gains one electron. This leads to the formation of Ca2+ ion and two F“ ions each of which has a stable noble gas configuration. These oppositely charged ions are mutually attracted by the electrostatic force of attraction which constitute ionic bonds.

    (iii) Formation of MgO: The electronic configuration of magnesium (Z = 12) and oxygen (Z = 8) can be represented as:
    12Mg= 1s2 2s2 2p6 3s2 (2, 8, 2)
    8O = 1s2 2s2 2p4 (2, 6)
    Magnesium atom loses two valence electrons to an oxygen atom. Thus, Mg2+ and O2– ions are formed each of which has a stable noble gas configuration. These ions are held together by the electostatic force of attraction which constitutes ionic bond.



    Question 123
    CBSEENCH11005676

    Draw the Lewis structures for the following molecules and ions:
    straight H subscript 2 straight S comma space space SiCl subscript 4 comma space space BeF subscript 2 comma space space CO subscript 3 superscript 2 minus end superscript comma space space HCOOH

    Solution

    Lewis structure of the given molecule and ions are,

    Question 124
    CBSEENCH11005677
    Question 125
    CBSEENCH11005678

    Discuss the factors which favour the formation of ionic bond.

    Solution

    Following factors influence the formation of ionic bonds:
    (i) Low ionisation enthalpy: One of the atoms forming cation should have low ionisation enthalpy. Alkali metals (Group 1) and alkaline earth metals (Group 2) having low values of ionisation enthalpy from their cations readily.


    (ii) Very high negative electron gain enthalpy: The other atom-forming anion should have very high negative electron gain enthalpy. Elements of group 16 and group 17 (halogens) having very high negative electron gain enthalpy from their anions readily.


    M(g) → M+(g) + e– : Ionisation enthalpy
    X(g) + e → X (g) : Electron gain enthalpy
    M+(g) + X (g)→ MX(s)


    Clearly, ionic bonds will be formed more easily between elements with comparatively low ionisation enthalpies and elements with comparatively very high negative electron gain enthalpies.

    Question 126
    CBSEENCH11005679

    Define lattice enthalpy. How is it violated to the stability of an ionic compound?

    Solution
    The lattice enthalpy (lattice energy) of an ionic solid is defined as the enthalpy required to completely separate one mole of a solid ionic compound into gaseous constituent ions. e.g. the lattice enthalpy of NaCl is 788 kJ mol–1. This means that 788 kJ of enthalpy is required to separate an infinite distance I mol of solid NaCl into 1 mol of Na+ (s) and one mole of Cl (g).
    The greater the lattice enthalpy, more stable is the ionic compound.
    Question 127
    CBSEENCH11005680

    What are important consequences of lattice enthalpies?

    Solution

    The consequences of lattice enthalpies:
    (i) The greater the lattice enthalpy, more stable is the ionic compound.
    (ii) The lattice enthalpy is greater, for ions of higher charge and smaller radii.
    (iii) The lattice enthalpies effect the solubilities of ionic compounds.

    Question 128
    CBSEENCH11005681

    Write three favourable factors for the formation of ionic bond ?

    Solution

    Three favourable factors for the formation of ionic bond are:
    (i)  Low ionisation enthalpy of the metal atom.
    (ii) High electron gain enthalpy of the non- metal atom.
    (iii) High lattice enthalpy of the compound formed.

    Question 129
    CBSEENCH11005682

    What are important characteristics of ionic compounds?

    Solution

    (i) Stable existence: Ionic compounds usually exist in the form of crystalline solids. The crystals are made up of crystal lattices containing oppositely charged ions (+ve and –ve). Each cation is surrounded by a definite number of anions and vice-versa.

    (ii)  High melting and boiling points and low volatility: There is a strong force of attraction among the oppositely charged ions in the crystals of ionic compounds, so a large amount of enthalpy is needed to separate them. Due to these strong forces of attraction, ionic compounds have high melting and boiling points and low volatility.

    (iii) Electrical conductivity: Ionic compounds do not conduct electricity in the solid state because oppositely charged ions occupy fixed positions in the crystals and are not free to move. When these crystals are dissolved in a polar solvent or melted, the ions can move freely under the influence of electric field and become conductor of electricity.

    (iv) Fast reactions: The chemical reactions between ionic compounds involve the combination between the ions liberated in their aqueous solutions. So their reactions are very fast.

    (v) Solubility: Ionic compounds are soluble in polar solvents (e.g. water) and insoluble in nonpolar (organic) solvents. Polar solvents have high values of a dielectric constant which reduces the electrostatic force of attraction between the oppositely charged ions. Hence, the ions get separated and ultimately solvated by the molecules of the polar solvent.

     
    Question 130
    CBSEENCH11005683

    Can sodium chloride conduct electric current in the solid state?

    Solution

    No, sodium chloride can not conduct electricity in the solid state. This is because oppositely charged ions (Na+ and Cl ions) are held together by a strong electrostatic force of attraction. These ions occupy fixed positions in the crystals and do not move when an electric field is applied.

    Question 131
    CBSEENCH11005684

    An element A has the configuration 1s22s22p63s1 while the configuration of B is 1s22s22p5. What type of bond is likely to be formed between them?

    Solution
    On the basis of electronic configuration, the atom A has only one electron in its valence shall and atom B has seven electrons in its valence shell. Thus, one electron from A gets transferred to atom B. Thus A+ and B– ions are formed. These ions are held together by electrostatic force of attraction known as ionic bond. Hence bond between A and B is ionic bond.
    Question 132
    CBSEENCH11005685

    Discuss the Lewis concept of the covalent bond formation.

    Solution

    A chemical bond formed by the mutual sharing of one or more pairs of electrons between atoms of same or different elements so as to complete their octets is called the covalent bond. Each atom contributes an equal number of electrons for the process of sharing and number of electrons contributed by each atom is known as covalency.
    A single bond is formed when atoms mutually share one pair of electrons. A double bond is formed when the atoms share two electron pairs. A triple bond is formed when the atoms share three electron pairs.
    Examples:

    (a) Homoatomic molecules (covalent bonds in similar atoms).

    (i) Hydrogen molecule (H2): A covalent bond is formed between two hydrogen atoms by sharing a pair of electrons between them. Each atom contributes one electron for sharing.

    (ii) Chlorine molecule (Cl2): Chlorine atom (17Cl) has seven electrons in its valence shell (2, 8, 7). In the formation of chlorine molecule, each chlorine atom contributes one electron for sharing in order to acquire a stable noble gas configuration (Argon).

    (iii) An oxygen molecule (O2): Oxygen atom (8O) has six electrons in its valence shell (2, 6). In the formation of O2 molecule, each oxygen atom contributes two electrons for mutual sharing in order to acquire a stable neon configuration and forms divalent or double bond.

    (iv) Nitrogen molecule (N2): Nitrogen atom (7N) has five electrons in its valence shell (2, 5). In the formation of N2 molecule, each nitrogen atom contributes three electrons for mutual sharing in order to acquire stable neon configuration and forms trivalent or triple bond.


    (b) Heteroatomic molecules (covalent bonds in different atoms).
    (i) Methane molecule (CH4): Carbon atom (6C) has four electrons in its valence shell (2, 4). Carbon atom forms four covalent bonds with four hydrogen atoms.

    (ii) A water molecule (H2O): The oxygen atom is bonded to two hydrogen atoms.

    (iii) Carbon dioxide molecule (CO2): Carbon atom is bonded to two oxygen atoms with double bonds.

    Question 133
    CBSEENCH11005686

    Write the Lewis dot structure of molecule.

    Solution
    Lewis dot structure of molecule is given as,
    Step I: The outer valence shell configuration of carbon and oxygen atoms are:

    Total number of valence electrons = 4 + 6 = 10
    Step II. The skeletal structure of Carbon and Oxygen is CO.
    Step III. Putting one shared pair of electrons between C and O and completing the octet on O, the remaining two electrons are the lone pair on C.

    Step IV: In the above structure, octet of C is not complete. Hence multiple bonding is required between C and O. Octets of C and O will be complete if there is a triple bond between C and O.

    Question 134
    CBSEENCH11005687

    Write the Lewis structure of nitrite space space NO subscript 2 superscript minus

    Solution
    Step I. Total number of valence electrons of NO2 = 5 + 6 + 6+1=18.

    Step II.  Total number of electrons to be distributed in space space NO subscript 2 superscript minus space equals space 17 plus 1 space equals space 18
    Step III. The skeletal structure of space NO subscript 2 superscript minus is O N O step.
    Step IV. Putting one shared electron pair between the nitrogen and each of the oxygen atoms completing the octet of oxygen atoms.


    Question 135
    CBSEENCH11005688

    What do you understand by formal charge (F.C.) on atom in a molecule/ion?

    Solution

    The formal charge of an atom in a polyatomic molecule or ion may be defined as the difference between the number of valence electrons of that atom in an isolated or free state and the number of electrons assigned to that atom in the Lewis structure.

    It is expressed as:

    [Formal charge (F.C.) on an atom in a molecule/ion]
                   = [Total number of valence electrons in the free atom] - [Total number of non-bonding (lonepair) electrons]
     - 1 half open square brackets Total space number space of space bonding space left parenthesis shared right parenthesis space electrons close square brackets
                        

    Question 136
    CBSEENCH11005689

    Calculate the formal chrage on each O-atom of O3 molecule. 

    Solution
    The formal charge on each O- atom of O3 molecule is given as,
    The Lewis structure of O3 may be drawn as:

    The atoms have been numbered as 1, 2 and 3. Formal charge (F.C.) on end O–atom numbered 1.
     equals space 6 minus 4 minus 1 half left parenthesis 4 right parenthesis space equals space 0
    Formal charge (F.C.)on central O-atom numbered.
     2 space equals space 6 minus 2 minus 1 half left parenthesis 6 right parenthesis space equals space plus 1
    Formal charge (F.C.) on end O-atom numbered 3.
    equals 6 minus 6 minus 1 half left parenthesis 2 right parenthesis space equals space minus 1
    Hence, we represent O3 along with the formal charges as follows:

    Question 137
    CBSEENCH11005690

    What is the importance of calculating the formal charges?

    Solution

    The main advantage of calculation of formal charges is that it helps to select the lowest energy structure (i.e. most stable structure) from a number of possible Lewis structures for a given species. The most stable are the one which has the smallest formal charges on the atoms.

    Question 138
    CBSEENCH11005691

    Calculate the FormalCharge on atoms in carbonate ion ?

    Solution

    Lewis structure of CO subscript 3 superscript 2 minus end superscript ion is 

    Formal Charge on single bonded O atom
    equals 6 minus 6 minus 1 half left parenthesis 2 right parenthesis space equals negative 1

    Question 139
    CBSEENCH11005692

    What do you understand by bond pairs and lone pairs of electrons? Illustrate by giving one example of each type.

    Solution
    The shared pairs of electrons present between the atoms are called bond pairs because they are responsible for bonding between the atoms. On the other hand, the valence electrons not involved in bonding are shown as such and are called lone pairs or unshared pairs or non-bonding electrons. For example, in ammonia molecule, there are four electron pairs, three of which are bond pairs and one is a lone pair.


    Question 140
    CBSEENCH11005693

    What are the drawbacks of Lewis concept of bonding?

    Solution

    Lewis concept fails to explain:
    (i) The cause of covalent bond formation.
    (ii) The nature of attractive forces between the constituent atoms of a molecule.
    (iii) The geometry of molecules containing covalent bonds.
    (iv) The formation of molecules such as PCl5, SF6 and IF7 in which the central atom has more than 8 electrons in its valence shell (violation of octet rule).
    (v) The formation of molecules such as BF3, AlCl3 in which the central atom has less than 8 electrons in its valence shell.
    (vi) The amount of enthalpy released during covalent bond formation.

    Question 141
    CBSEENCH11005694

    Discuss the formation of compounds in which octet rule is violated.

    Solution
    There are some exceptions to the octet rule:
    (i) Formation of compounds like BeCl2, BF3 AlCl3 etc. In each of these molecules, the central atom (Be, B or Al) has less than 8 electrons i.e. these are electron deficient compounds.

    (B and Al have 6 electrons around them.)
    (ii) Formation of compounds like PCl3, SF6, IF7 etc. In each of these molecules, the central atom has more than 8 electrons.

    The octet rule is violated in these molecules.
    Question 142
    CBSEENCH11005695

    Discuss the Modern(or Quantum) Theory of covalent bond.

    Solution

    Every system in this universe lends to acquire a state of minimum potential enthalpy in order to acquire maximum stability. Similarly, the formation of a bond between the atoms occur only it' there is a decrease in enthalpy.
    The attractive forces tend to decrease the enthalpy of the system whereas repulsive forces tend to increase its enthalpy. When two atoms approach each other, the following two forces come into existence:
    (i) Attractive forces between the electrons of one atom and the nucleus of the other atom.

    (ii) Repulsive forces between electrons of the two atoms and also between their nuclei.

    As a result of these electrostatic interactions, if there is a net decrease in enthalpy, a bond is formed between them. On the other hand, if there is an increase in enthalpy, the bond formation does not occur. For example, hydrogen molecule is formed but He2 is not formed.

    Question 143
    CBSEENCH11005696

    Explain the formation of H2 molecule on basis of valence bond theory.
    Or
    In the light of attractive and repulsive forces, show that a molecule of hydrogen is formed.

    Solution

    Consider two hydrogen atoms A and B with electron eA and eB respectively. HArepresents the nucleus of hydrogen atom A and HB represents the nucleus of hydrogen atom B.
    When the two hydrogen atoms approach each other, the following two forces come into existence:
    (a) Attractive interactions in between:
    (i)  the nucleus HA an electron eB and
    (ii) the nucleus HB and electron eA
    (b) Repulsive interactions in between:
    (i) electron eA and electron eB and
    (ii) nucleus HA and nucleus HB.

    Since attractive forces overpower the repulsive forces, as a result, the enthalpy of the system decreases and a molecule of hydrogen is formed.


    Enthalpy diagram: When two hydrogen atoms are at an infinite distance from each other, there is no interaction between them and therefore, the enthalpy of the system is assumed to be zero in this state (stage-A). As the two atoms start coming closer to each other, the potential enthalpy continues to decrease (stage B). Ultimately a stage is reached when the enthalpy of the system becomes minimum and hydrogen atoms are said to be bonded together to form a stable H2 molecule (state C).

    The internuclear distance r0 between two hydrogen atoms at this stage is referred to as bond length. In the case of the hydrogen molecule, the bond length is 74 pm. It should be noted that two hydrogen atoms can not be brought at a distance lesser than rQ (i.e. 74 pm) because the potential enthalpy of the system increases and curve shows an upward trend (dotted lines) and molecule becomes unstable.

    Question 144
    CBSEENCH11005697

    In the light of attractive and repulsive forccs, show that helium molecule is not formed.

    Solution
    Each helium atom has two electrons in its s orbital. When two helium atoms come closer together, the new attractive and repulsive interactions will start operating. There are four attractive interactions between the electrons of Helium.


    Dotted lines show new repulsive interactions one and nucleus of the other and vice-versa. There are five new repulsive interactions, one of which is internuclear and the other four are interelectronic repulsions. As the number and magnitude of repulsive forces are more than that of attractive forces, the potential enthalpy of the system increases. Hence a chemical bond is not formed between helium atoms or He2 is not formed.


    Thus energetically the formation of helium molecule is not possible because there is an increase in the potential enthalpy of the system when two helium atoms approach each other.


    Question 145
    CBSEENCH11005698

    What are general characteristics of covalent compounds?

    Solution

    General characteristics of Covalent compound:
    1. State of existence: Covalent compounds are generally gaseous or liquids. They may be solid (but soft) if the molecular mass is very high. Molecules are present in three states which are held together by a weak force called Vander Waal’s forces.
    2. Low melting and boiling points : Covalent compounds have generally low melting and boiling points since only a little enthalpy is required to overcome the weak Vander Waal’s forces.
    3. Electrical conductivity: They are generally non-conductors of electricity because they contain neither the ions for migration nor the free electrons.
    4. Non-polar nature: They are generally non-polar or only slightly polar.
    5. Solubility: Being non-polar or only slightly polar, they are generally insoluble in a polar solvent like water but soluble in non-polar solvents like ether, benzene etc.
    6. Reactions (Non-ionic): Covalent compounds contain molecules and they undergo reactions slowly.
    7. Nature of bond and isomerism: Covalent bond is rigid and directional (true bond). Hence covalent compounds exhibit various types of isomerism.

     
    Question 146
    CBSEENCH11005699

    Give the comparison between electrovalent and covalent bonds.

    Solution
    Electrovalent bonds Covalent bonds
     1.Electrovalent compounds are formed by complete transfer of electrons in KCl (K. +.CI: — K+ Cl) 1. Covalent compounds are formed by mutual sharing of electrons as in NH3

    2.Electrovalent compounds are made up of ions. 2.Covalent compounds are made up of molecules.
    3.Electrovalent compounds are heard, crystalline solids e.g. NaCl, MgCl2 3. Covalent compounds are usually liquids or gases. E.g. CH4, C2H6, NH3
    4. Electrovalent compounds are usually soluble in water but insoluble in non-polar solvents like Cl4 4.Covalent compounds are soluble in non-polar solvents like benzene or carbon tetrachloride and in soluble in polar solvents like water.
     
    5. Electrovalent compounds generally have high melting and boiling points. 5.Covalent compounds generally have low melting and boiling points.
    6.Electrovalent compounds are good conductors of electricity in the molten state and in aqueous solutions but insulators in the solid state.

    6. Covalent compounds are bad conductors of electricity.

    Question 147
    CBSEENCH11005700

    Give the comparison between Electrovalent (or ionic compounds) compounds and covalent compounds (special reference to properties).

    Solution
    Electrovalent compounds Covalent bonds
    1. They are formed by the complete transference of one or more electrons from one atom to another. 
    1.They are formed by the mutual sharing of electrons between two atoms.
    2. Exist as hard crystalline solids.  2. Exist as gases, liquids or soft solids.
    3. Crystals are made up of ions. 3. Crystals are made up of molecules.
    4. High melting and boiling points. 4. Low melting and boiling points.
    5. It is a bad conductor of electricity in a solid state but conducts electricity in the molten state or in solution. 5. Bad conductor of electricity
    6. Soluble in polar solvents, insoluble in non-polar solvents. 6. Soluble in non-polar solvents, insoluble in polar solvents.
    7. Reactions are fast. 7. Reactions are slow.
    8. Reactions are slow. 8. Exhibit isomerism.
    Question 148
    CBSEENCH11005701

    Discuss the orbtial concept or quantum concept for the formation of covalent bond.
    Or
    Explain the formation of covalent bond on the basis of valence bond theory.

    Solution
    According to the orbital concept, a covalent bond is formed by the partial overlap of two half-filled atomic orbitals containing electrons with opposite spins. During the orbital overlap, a certain amount of enthalpy is released. Greater the enthalpy released, stronger will be the bond formed. The new orbital which gets formed as a result of orbital overlap is called molecular orbital. For example, in the formation of H2 molecule, orbital of each hydrogen atom having electrons in opposite spin overlaps mutually as shown.



    This results in the formation of molecular orbital which contains both the electrons which now have got paired.
    Question 149
    CBSEENCH11005702

    What are the essential requirements for the formation of covalent bond?

    Solution

    The essential requirements for the formation of a covalent bond are,
    (i) An atomic orbital of one atom containing one electron overlaps with an atomic orbital of other atom containing an electron of opposite spin.
    (ii) Properly oriented atomic orbitals of different atoms can overlap together.
    (iii) Greater the overlapping of orbitals, stronger will be the bond.
    (iv) Overlapping of orbitals causes delocalization of electrons which in turn lowers the enthalpy and increases the stability.

    Question 150
    CBSEENCH11005703

    Discuss the orbital shapes of the following covalent molecules:
    (i) H2 (ii) F2 (iii) O2 (iv) N2.

    Solution
    (i) H2 molecule: The electronic configuration of hydrogen is 1s1. Half filled orbital of one hydrogen atom overlaps with that of the other hydrogen having an electron in opposite spin to from H2 molecule.

    (ii) F2 molecule: The F2 molecule is formed by the overlapping of two half filled p-orbitals of two fluorine atoms. The electronic configuration of Fluorine is 1s2 2s2 2p5. Thus Overlapping of the orbital forms F2 molecule.

    (iii) O2 molecule: The electronic configuration of oxygen (Z = 8) is 1 straight s squared space 2 straight s squared space 2 straight p subscript straight x superscript 2 space 2 straight p subscript straight y superscript 1 space 2 straight p subscript straight z superscript 1.
    Thus oxygen atom has two half filled atomic orbitals. The oxygen molecule is formed when two half filled p-orbitals of each oxygen atom overlap with the two half filled p-orbitals of the other oxygen atom. This results in the formation of a double bond between two oxygen atoms (O = O).

    (iv) N2 molecule: The electronic configuration of nitrogen atom (Z = 7) is 1 straight s squared space 2 straight s squared space 2 straight p subscript straight x superscript 1 space space 2 straight p subscript straight y superscript 1 space 2 straight p subscript straight z superscript 1. 

    The nitrogen atom has three half filled atomic orbitals. In the formation of N2 molecule, each of the three half, filled orbitals of one nitrogen atom overlaps with the three half filled orbitals of the other nitrogen atom.
    This leads to the formation of a triple bond between two nitrogen atoms (N ≡ N).

     
    Question 151
    CBSEENCH11005704

    Discuss the orbital shapes of the following covalent molecules:
    (i) HF (ii) H2O (iii) NH3.

    Solution
    (i) Hydrogen fluoride molecule (HF): The electronic configuration of hydrogen is 1s1. Electronic configuration of Fluorine is 1s2 2s2 2p5. Therefore half-filled orbital of hydrogen atom overlaps with the half filled 2p-orbital of fluorine atom to form H – F molecule.

    (ii) A water molecule (H2O): The electronic configuration of hydrogen is 1s1. Electronic configuration of oxygen 1s2 2s2 2p4. Therefore  half-filled orbital of each hydrogen atom overlaps with each of the half-filled 2p–orbitals having electrons in opposite spins of oxygen atom to form H2O molecule.

    (iii) Ammonia molecule (NH3): The electronic configuration of hydrogen is 1s1. Electronic configuration of nitrogen is 1s2 2s2 2p3. Therefore the orbital of each hydrogen atom overlaps with each of the three nitrogen orbitals.

    half-filled 2p orbitals of nitrogen having electrons in opposite spin to form NH3molecule.
    Question 152
    CBSEENCH11005705

    Why is a sigma bond stronger than pi bond ?

    Solution
    The strength of a bond depends on upon the extent of overlapping.
    A sigma bond stronger than a pi bond. The reason behind this is the orientation of the overlapped orbitals. Sigma bonds result from head-on(co-axial) overlapping while pi bonds are the outcome of lateral(para-axial) overlapping. Here is a pictorial representation of ethene(sp2 hybridised C atoms).


    The greater the extent of overlapping, the higher the probability of finding the valence electrons in between the nuclei and hence the bond will be stronger.
    Question 153
    CBSEENCH11005706

    Why are lone pair-lone pair repulsion stronger than lone pair-bond pair.

    Solution

    The lone pairs are localised on the central atom, while each bonded pair is shared between two atoms. consequently, the lone pair electrons in molecules occupy more space as compared to the bonding pair electrons. This causes greater repulsion between lone pairs of electrons as compared to the lone pair -bond pair and bond pair-bond pair repulsion.

    Question 154
    CBSEENCH11005707

    Describe, in brief, the types of covalent bonds ?

    Solution

    A covalent bond is classified into two types:
    1.    Sigma (σ) covalent bond bond
    2.    pi (straight pi) covalent bond.

    1. Sigma (σ) covalent bond (Axial overlap bond): A covalent bond formed by an axial (head on) overlapping of half filled atomic orbital is called sigma (σ) bond. The molecular orbital thus formed is symmetrical about the internuclear axis and is called sigma molecular orbital. Sigma bond may be formed by any one of the following types of overlapping: (i) s-s over-lapping (ii) s–p overlapping (iii) p-p overlapping half filled.
    (s-s overlapping: It is the type of overlapping.

    in which s-orbital of one atom overlaps with half filled s-orbital of another atom to form the s-s sigma bond. For example, in the formation of H2 molecule, Is orbitals of two hydrogen atoms mutually overlap along the internuclear axis to form a sigma bond.
    (ii) s-p overlapping: It is the type of overlapping in which half filled s-orbital of one atom overlaps with half filled p-orbital of another atom to give s-p

    sigma bond. For example, in the formation of hydrogen fluoride molecule (H–F), half filled Is orbital of hydrogen atom overlaps coaxially with half-filled 2p–orbital of fluorine atom to form a sigma bond.
    (iii) p-p overlapping: It is the type of overlapping in which half filled p-orbital of one atom overlaps with half filled p–orbital of another atom linearly i.e. along the axis (coaxial overlapping) to give p-p sigma bond. For example, in the formation of fluorine molecule (F – F), half-filled 2p–orbitals of two fluorine atoms mutually overlap coaxially to form a sigma bond. 



    2.  pi space left parenthesis straight pi right parenthesis space bond A covalent bond formed by the sidewise or lateral overlapping (a non-axial overlapping) of two parallel oriented half filled p-orbitals is called straight pi the bond. The electron density is localised above and below the plane of the bond axis.




    Question 155
    CBSEENCH11005708

    Using the orbital overlap concept, explain the formation of:
    (i) O2 molecule            (ii) N2 molecule.

    Solution
     (i) O2 molecule: The electronic configuration of oxygen atom
    (z = 8) is 1 straight s squared space 2 straight s squared space 2 straight p subscript straight x superscript 2 space 2 straight p subscript straight y superscript 1 space 2 straight p subscript straight z superscript 1.
    It has two half filled 2p-orbitals in its valence shell. In the formation of the oxygen molecule. One of the two half filled 2p-orbitals of each oxygen atom overlaps mutually along the internuclear axis to form σ bond. The other half-filled 2p orbitals of each oxygen atom undergo sidewise overlapping to form straight pi-bond.
    Thus, two oxygen atoms are linked together by a double bond, one of which is sigma bond and other is straight pi a bond. 

    (ii) N2 molecule. The electronic configuration of nitrogen atom (Z = 7) is
    1 straight s squared 2 straight s squared 2 straight p subscript straight x superscript 1 2 straight p subscript straight y superscript 1 2 straight p subscript straight z superscript 1. It has three half filled 2p-orbitals in its valence shell. In the formation of the nitrogen molecule, one of the three half-filled 2p orbitals of each nitrogen atom overlaps mutually along the internuclear axis to form a bond. The other two 2p-half filled orbitals of a nitrogen atom undergo sidewise overlapping with their parallel oriented 2p-orbitals of other nitrogen to form two straight pi bonds. Thus, two nitrogen atoms are linked together by a triple bond, one of which is sigma bond and the other two are straight pi bonds.

    Question 156
    CBSEENCH11005709

    Distinguish between a sigma open parentheses straight sigma close parentheses bond and a pi space left parenthesis straight pi right parenthesis bond.

    Solution
    Sigma  (σ) bond  pi open parentheses straight pi close parentheses bond
    1. It is formed by the coaxial over lapping of two half filled atomic orbitals along inter-nuclear axis It is formed by the sidewise or lateral overlapping of two half filled p-orbitals perpendicular to the internuclear axis.
    2. This bond can be formed by overlap of s –s.s –p and p-p orbitals. 2. It involves the overlap of p-orbitals only i.e. s orbitals can not participate in the formation of straight pi bond.
    3. Sigma bond is stronger and less reactive. 3. straight pi bond is weaker and more reactive.
    4. They have cylindrical symmetry of electron density about the bond axis. 4. Electron density is localised above and below the plane of bond axis.
    5. Free rotation about a σ-bond is possible. 5. Rotation of bond is restricted. 
    6. Sigma bonds have independent existence. 6. straight pi-bonds exist along with a σ bond.
    Question 157
    CBSEENCH11005710

    What do you mean by: (i) Bond length  (ii) Bond enthalpy   (iii) Bond order?

    Solution
    (i) Bond length:  Bond length is defined as the equilibrium internuclear separation distance of the bonded atoms in a molecule. Each atom of the bonded pair contributes to the bond length. 

    In the case of a covalent bond, the contribution from each atom is called covalent radius of that atom.
    The bond length in a covalent molecule AB                    
      R = rA + rB
    where R is the bond length; rAand rB are the covalent radii of atoms A and B respectively.
    (ii) Bond enthalpy: The strength of a chemical bond is measured as the bond dissociation enthalpy. It is the enthalpy required to break a particular bond in one mole of a gaseous molecule. For example for a homonuclear diatomic molecule H2, we have,
    straight H subscript 2 left parenthesis straight g right parenthesis space rightwards arrow space space straight H left parenthesis straight g right parenthesis space plus space straight H left parenthesis straight g right parenthesis semicolon space space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space increment subscript straight a straight H to the power of circled dash space equals space 435.8 space kJ space mol to the power of negative 1 end exponent
    Similarly for a heteronuclear diatomic molecule HCl, we have,
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    For molecules like O2 and N2 containing double and triple bonds:
    straight O subscript 2 left parenthesis straight g right parenthesis space left parenthesis straight O equals space straight O right parenthesis space space rightwards arrow space space straight O left parenthesis straight g right parenthesis space plus space straight O left parenthesis straight g right parenthesis semicolon space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space increment subscript straight a straight H to the power of circled dash space equals space 498.0 space kJ space mol to the power of negative 1 end exponent
space space space space straight N subscript 2 left parenthesis straight g right parenthesis space left parenthesis straight N identical to straight N space left parenthesis straight g right parenthesis space equals space straight N left parenthesis straight g right parenthesis space semicolon
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space increment subscript straight a straight H to the power of circled dash space equals space 496.0 space kJ space mol to the power of negative 1 end exponent space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space
space space space

    (iii) Bond Order: 
    According to Lewis concept of a covalent bond, the bond order is given by the number of bonds between the two atoms in a molecule. For example,
    Bond order in H2 (H – H) = 1
    Bond order in O2 (O = O) = 2)
    Bond order in N2 (N ≡ N) =3
    Similarly, the bond order in CO (three shared electron pairs between C and O) is 3.
    Isoelectronic molecules and ions have identical bond order; For example, F2 and O22–have bond order 1. N2, CO and NO+ have bond order 3.
    It should be noted that with the increase in bond order, bond enthalpy increases and bond length decreases.
    Question 158
    CBSEENCH11005711

    What is coordinate or dative bond? Explain the formation of the bond with some examples.

    Solution

    Coordinate bond: It is the type of bond in which electron pair for sharing is provided by only one of the two bonded atoms i.e. out of the two bonded atoms one with already completed octet provides its lone pair of electrons for sharing to the other bonding atom having a shortage of electrons. The atom which provides the electron pair for sharing is known as a donor and the other atom which accepts the electron pair is called acceptor. The bond is represented by an arrow→ pointing from donor towards the acceptor.
    If the atom A has its octet already complete and the atom B has only six electrons in its valence shell, then a coordinate bond is formed.


    Examples:
    (i) A coordinate bond is formed between ammonia (NH3) and boron trifluoride (BF3).



    (ii) Formation of NH subscript 4 superscript plus ion.

    (iii) Formation of  straight H subscript 3 straight O to the power of plus ion:

    Question 159
    CBSEENCH11005712

    What are the conditions for co-ordinate bonding?

    Solution

    A covalent bond is formed by two atoms sharing a pair of electrons. The atoms are held together because the electron pair is attracted by both of the nuclei.
    In the formation of a simple covalent bond, each atom supplies one electron to the bond.

    The electronegativity of the atoms should not be high with respect to each other.



     

    Question 160
    CBSEENCH11005713

    What are physical important characteristics of coordinate compounds?

    Solution

    The physical important characteristics for coordinate compounds are:
    (i) Physical state: They may be gaseous, liquids or solids.
    (ii) Melting and boiling points: They generally have low melting and boiling points. However, their melting and boiling points are relatively more than the covalent compounds.
    (iii) Conductivity: Generally, they are poor conductors of electricity but some of them are good conductors also.
    (iv) Solubility: Generally, they are insoluble in water but soluble in organic solvents. However, some of them are soluble in water.
    (v) Isomerism: They exhibit stereoisomerism due to rigid and directional nature of the coordinate bond.

    Question 161
    CBSEENCH11005714

    Explain coordinate bond by the orbital concept.

    Solution

    A coordinate bond is formed by the overlapping of an orbital of an atom containing a lone pair of electrons with the empty orbital of the other atom.
    Let us consider the formation of ammonium ion (N+H4). It is formed by the combination of ammonia molecule and hydrogen ion.
    space space straight H subscript 3 straight N colon space plus straight H to the power of plus space space space rightwards arrow space space space open square brackets straight H subscript 3 straight N space rightwards arrow space space straight H close square brackets to the power of plus
    The central nitrogen atom of ammonia molecule has one orbital containing a lone pair of electrons while the other three orbitals are filled up with bond pairs of electrons.
    On the other hand, hydrogen ion has empty is orbital. When the Hion approaches ammonia molecule, its empty orbital overlaps the orbital of nitrogen atom containing a lone pair to form a dative bond. 

    Question 162
    CBSEENCH11005715

    Differentiate between a covalent bond and co-ordinate bond.

    Solution
    Covalent Bond Co-ordinate Bond
    1. This is formed by sharing of two electrons. Each atom supplies electron.
    A. +. B → A:B.
    1. One atom contributes an electron pair while the sharing is done by both atoms.
    X : + Y → X : Y
    2. Denoted by A - B 2. Denoted by Xδ+ → Yδ–
    3. Formed between electron deficient atoms. 3. Formed between a donor with a lone pair and an acceptor  (electron pair deficient).
    4. Formed between atoms. 4. Formed between molecules or between molecules and ions.
    Question 163
    CBSEENCH11005716

    What do you understand by geometry and shapes of molecules?

    Solution
    The definite arrangement of various bonded atoms in a molecule is called the geometry of the molecule. The shape of a molecule (or molecular shape) is the arrangement of the atoms in a molecule with respect to each other i.e. the angle between atoms and length of the covalent bonds (bond lengths). The molecules may have different bond lengths and bond angles and so might have different molecular shapes. 
    Question 164
    CBSEENCH11005717

    Why do covalent moleucles have definite geometery?

    Solution
    In a covalent molecule, the central atom is surrounded by two types of electron pairs i.e. bond pairs (shared pair of electrons) and lone pairs (pairs not taking part in bond formation). The stability of the molecule demands that it should have minimum enthalpy. If the electron pairs (bond pairs or lone pairs) surrounding the central atom are nearer, they will repel each other, thereby increasing the enthalpy of the molecule. On the other hand, if the electron pairs are far apart, the repulsions between them will be less and so the enthalpy of the molecule will be low. Thus, the electron pairs surrounding the central atom will try to remain as far apart as possible.
    As a result:
    (i) All bonded atoms occupy such positions (around the central atom) in space where the repulsive forces between them are minimum.
    (ii) The molecule attains minimum enthalpy and maximum stability.So molecule has a definite shape or geometry.
    Question 165
    CBSEENCH11005718

    Name the theory responsible for the definite geometry of covalent molecules. Give main features of the theory ?

    Solution

    The theory responsible for the definite geometry of covalent molecules is called valence shell electron pair repulsion theory (VSEPR theory).
    The main points of this theory are:
    1. The geometry of a molecule depends upon the number of electron pairs (bonded pairs as well as non bonded) surrounding the central atom.
    2. The electron pairs surrounding the central atom repel each other because their electron clouds are negatively charged. As a result, electron pairs try to stay as far away as possible to attain a state of minimum enthalpy or maximum stability.
    3. The relative magnitudes of the relative interactions between pair of electrons on the central atom are as follows:
    Lone pair-Lone pair (lp | lp) > Lone pair-Bond pair (lp | bp) > Bond pair-Bond pair (bp | bp).
    4. Repulsive forces decrease sharply with increasing angle between the electron pairs. They are strong at 90°, weaker at 120° and much weaker at 180°.
    Different geometries of molecules depending upon the number of electron pairs in the valence shell of the central atom are summed up as:

    No. of electron pairs around central atom Geometric arrangement Bond angles Examples
    1 Linear 180° BeF2, ZnCl2, HgCl2
    2 Trigonal Planar 120° BF3,  AlCl3
    3 Tetrahedral 109.5° CH4,CCl4
    4 Trigonal 120°  SiCl4
    5 Bipyramidal 90° PF5, PCl5
    6 Octahedral 90° SF6, TeF6


    Question 166
    CBSEENCH11005719

    What do you mean by Regular geometry and Irregular or Distorted geometry?

    Solution

    Regular geometry: The molecules in which the central atom is surrounded only by similarly bonded electron pairs will have regular geometries. The central atom should have no lone pair of electrons and should be bonded to all similar atoms. For example CH4, CCl4, BF3 etc.
    Irregular or Distorted geometry: The molecules in which the central atom is surrounded by bond pairs, as well as lone pairs, will have irregular geometries. The central atom may be bonded to similar atoms but should have different bond lengths. 
    For example, CHCl3, CHBr3, PF5.

    Question 167
    CBSEENCH11005720

    How will you explain the following order of the repulsive interactions between pair of electrons on the central atom:
    Lone pair - Lone pair > Lone pair - Bond pair > Bond pair - Bond pair. 

    Solution

    The lone pair are localised on the central atom, each bonded pair is shared between two atoms. As a result, the lone pair electrons in a molecule occupy more space as compared to the bonding pairs of electrons. This result in greater repulsion between the lone pairs of electrons as compared to the Lone pair -bond pair and bond pair-bond pair repulsion.

    Question 168
    CBSEENCH11005721

    On the basis of VSEPR theory, discuss the geometry of the following covalent molecules: (i) BeF(ii) BF(iii) CH4.

    Solution
    (i) BeF2 : The electronic configuration of Be (Z = 4) is1s22s2. The central atom Be has 2 valence electrons. These two electrons are shared mutually with the electrons of two fluorine atoms to form two Be – F bonds.

    To have a minimum repulsion in the electron pairs around the central atom, the geometry of the molecules is regular as well as linear. Bond angle in such cases is 180°.

    (iii) BF3: The electronic configuration of B (Z = 5) is 1s2 2s2 2p1x. The central atom B has 3 valence electrons. These three valence electrons are shared mutually with the electrons of the fluorine atoms to form three B - F bonds.

    Thus, B atom is surrounded by three bond pairs. These repel each other and go as far apart as possible so that there are no further repulsions. This is so if the three electron pairs are placed at 120° with respect to each other i.e. the most favourable arrangement is the triangular planar geometry.

    (iii) CH4 The electronic configuration of C(Z =6) is 1 straight s squared 2 straight s squared 2 straight p subscript straight x superscript 1 space 2 straight p subscript straight y superscript 1.
    The central atom has 4 valence electrons. These four valence electrons are shared mutually with the electrons of four hydrogen atoms to form four C - H bonds as shown.

    Thus carbon atom is surrounded by four bond pairs. In order to minimise the inter-electron pair repulsions i.e. having a state of minimum enthalpy and hence maximum stability, these bond pairs should be as far apart from one another as possible. This is so if the four electron.pairs are placed at an angle of 109.5° with respect to each other i.e. the most favourable arrangement is tetrahedral geometry. In other words, carbon is present in the centre of a regular tetrahedron and four bond pairs are directed to the four corners with bond angle-critical to 109.5°.


    Question 169
    CBSEENCH11005722

    With the help of VSEPR theory, explain the shape of: (i) NH3    (ii) H2O.

    Solution
    (i) NHMolecule: In ammonia molecule, the central nitrogen atom space space left parenthesis straight N presubscript 7 space equals space 1 straight s squared space 2 straight s squared space 2 straight p subscript straight x superscript 1 space 2 straight p subscript straight y superscript 1 space space 2 straight p subscript straight z superscript 1 right parenthesishas five electrons in the valence shell. Three of these electrons are mutually shared with the electrons of three hydrogen atoms to form three N- H bonds as shown. 

    Hence, the central N atom in NH3 is surrounded by three bond pairs and one lone pair. The geometry expected for the molecule is tetrahedral since lone pair-bond pair repulsion is more than bond pair-bond pair repulsion. As a result, the lone pair of electrons will repel another pair strongly. Therefore three N–H bonds of NH3 are forced slightly closer.
    This leads to decrease in H – N – H bond angles from a normal angle of a tetrahedron (109.5°) to 107°. The most favourable arrangement is distorted tetrahedral i.e. pyramidal. In this, nitrogen atom lies at the centre and three hydrogen atoms occupying the triangular base and the orbital with a lone pair of electrons from the apex of the pyramid.

    (ii) H2
    O: In a water molecule, the central oxygen atom space space left parenthesis straight O presubscript 8 space equals space 1 straight s squared space 2 straight s squared space 2 straight p subscript straight x superscript 2 space 2 straight p subscript straight y superscript 1 space 2 straight p subscript straight z superscript 1 right parenthesis has six electrons in the valence shell. Two of these electrons are mutually shared with the electrons of two hydrogen atoms to form two O - H bonds. 

    Hence, the central oxygen atom is H2O is surrounded by two bond pairs and two lone pairs. These four electron pairs adopt tetrahedral arrangement. The presence of two lone pairs brings


    distortion in the geometry of the molecule. The lone pairs repel the bond pairs more effectively resulting in the decrease of H – O – H angle from 109.5° to 104.5°. The water molecule may be regarded as bent or angular or V-shaped.

    Question 170
    CBSEENCH11005723

    Although geometries of NH3 and H2O molecules are distorted tetrahedral, the bond angle in water is less than that of ammonia. Discuss.

    Solution
    In NH3, there are three bond pairs and one lone pair on N-atom. There is only one lone pair on N-atom to repel the bond pairs. In H2O, there are two bond pairs and two lone pairs on O-atom. There are two lone pairs on O-atom to repel the bond pairs. Hence, the repulsions on bond pairs are greater in H2O than in NH3 and hence the bond angle is less.

    Question 171
    CBSEENCH11005724

    On the basis of VSEPR theory, predict the shapes of given molecules: PCl5 and SF6.

    Solution

    (i) PCl5 molecule. The electronic configuration of central phosphorus atom is
    straight P presubscript 15 space equals space 1 straight s squared space 2 straight s squared space 2 straight p to the power of 6 space 3 straight s squared space 3 straight p subscript straight x superscript 1 space 3 straight p subscript straight y superscript 1 space 3 straight p subscript straight z superscript 1.
    It has five valence electrons. All the five electrons are mutually shared with the electrons of five chlorine atoms to form five P - Cl bonds as shown.

    Hence, P atom is surrounded by five shared pairs of electrons. These repel each other and take up such positions and there is no further repulsion between them. The most favourable arrangement is trigonal bipyramidal.

    (ii)  SF6 molecule: The electronic configuration of central sulphur atom is
    straight S presubscript 16 space equals space 1 straight s squared space 2 straight s squared space 2 straight p to the power of 6 space 3 straight s squared space 3 straight p subscript straight x superscript 2 space 3 straight p subscript straight y superscript 1 space 3 straight p subscript straight z superscript 1.
    It has six valence electrons. 
    All the six valence electrons are mutually shared by the electrons of six fluorine atoms to form six S – F bonds.

    Hence, S atom is surrounded by six shared pairs of electrons (six bond pairs). These repel each other and try to remain as far apart as possible so that there is no further repulsion between them. Under such conditions, the most favourable arrangement is octahedral.

    Question 172
    CBSEENCH11005725

    Discuss the shape of the following molecules using VSEPR model:
    BeCl2, BCl3, SiCl4, AsF5, H2S, PH3

    Solution

    BeCl2:
    Lewis dot structure Cl: Be : Cl. The central atom (Be) has only two bond pairs and no lone pair. Hence shape is linear.


    BCl3:

    The central atom (B) has only three bond pairs and no lone pair. Hence shape is triangular planar.


    SiCl4:

    The central atom (Si) has four bond pairs and no lone pair. Hence the shape is tetrahedral.

    AsF5:

    The central atoms (As) has five bond pairs and no lon∈ pair. Hence, the shape is trigonal bipyramidal.

    H2S:

    The central atom (S) has two bond pairs and two lone pairs. Hence, the shape is Bent or V-shaped.

    PH3:

    The central atom (P) has three bond pairs and two lone pairs. Hence, the shape is. Bent or V-shaped.



    Question 173
    CBSEENCH11005726

    State and explain hybridisation.

    Solution

    The phenomenon of intermixing of atomic orbitals of slightly different enthalpies of an atom so as to redistribute their enthalpies to form the same number of new orbitals of equivalent enthalpies and identical shapes is called hybridization. The new orbitals, thus formed are called hybrid orbitals or hybridised orbitals.

    Explanation : In order to understand hybridisation, let us take an example of carbon (Z= 6). Its ground state electronic configuration is,


    Since it has two half filled orbitals, therefore, the valency of the carbon atom should be 2. But actually, carbon atom always exhibits a valency of four (tetravalent). To achieve this, an electron is promoted from 2s filled orbital to the vacant higher enthalpy 2p orbital. This is called excited state of a carbon atom.



    In the excited state of carbon s and p, orbitals have different enthalpies. Consequently, four bonds of carbon must be of two types. Three of the bonds should be of one type (s - p bonds) while fourth bond should be a different type (s - s bond). However, experimental evidence indicates that all the four bonds in case of CH4 (methane) are equivalent. To explain the equivalence of all the four bonds in case of methane, the concept of hybridisation is used i.e. all the four orbitals in the valence shell of carbon may get mixed, redistribute enthalpies and give orbitals of new enthalpy and shape. These equivalent orbitals are called hybrid orbitals.

    Question 174
    CBSEENCH11005727

    What are the necessary conditions for hybridisation?

    Solution

    The necessary conditions for hybridization:
    (i) The orbitals taking part in hybridization must have only a small difference of enthalpies.
    (ii) The orbitals undergoing hybridisation generally belong to the valence of the atom.
    (iii) It can take place between completely filled, half-filled or empty orbitals.
    (iv) All the orbitals of the valence shell may or may not take part in hybridisation.

    Question 175
    CBSEENCH11005728

    What are the different types of hybridisation in s and p atomic orbitals?

    Solution

    These are of three types:
    (i) sp type (Linear)
    (ii) sp2 type (Trigonal)
    (ii) sp3 type (Tetrahedral).

    Question 176
    CBSEENCH11005729

    Discuss in brief sp3 hybridisation. Explain the formation of methane and ethane.

    Solution
    sp3 hybridisation: Electronic configuration of carbon (Z = 6) in the excited state is 1s2 2s1
    2 straight p subscript straight x superscript 1 space 2 straight p subscript straight y superscript 1 space 2 straight p subscript straight z superscript 1.
    This type of hybridization involves the mixing of all four filled orbitals i.e. 1s and 3p orbitals to form four new orbitals called sp3 hybrid orbitals of equivalent enthalpies and identical shapes. 

    Fig. Representation of sp3 hybridization:
    A single sp3 hybrid orbital.
    The four sp3 hybrid orbitals are directed towards the four corners of a tetrahedral. The angle between two adjacent sp3 hybrid orbitals. Each sp3 hybrid orbital has 1/4 s-character and 3/4 p-character. sp3 hybridization is also known as tetrahedral hybridisation.
    (i) The molecular orbital structure of methane: In methane molecule, carbon atom undergoes sp3 hybridisation. Each sp3 hybrid orbital overlaps with 1s orbital of hydrogen atom along the internuclear axis to form four σ bond.

    Molecular orbital structure of methane

    The four C – H bonds are directed towards the four corners of a regular tetrahedron. So methane has a tetrahedral structure. Each H – C – H bond angle is of 109°.28’. Each C – H bond length is 109 pm (1.09 Å).

    (ii) Molecular orbital picture of ethane: In ethane molecule, both carbon atoms are in the sp3 hybrid state. In its formation, one hybrid orbital of one carbon atom overlaps with one sp3 hybrid orbital of a second carbon atom along the internuclear axis to form a sigma (σ) C – C bond. The remaining three sp3 hybrid orbitals of each carbon atom overlap with 1 s orbital of hydrogen atom axially to form six sigma C – H bonds.


         
    The length of C-C bond in ethane is 154 pm (or 1- 54 Å) and that of each C - H bond is 109 pm (or 1-09 Å).


    Question 177
    CBSEENCH11005730

    Discuss in brief sp2 hybridization (hybridization in C = C bond). Discuss the molecular orbital structure of ethylene (first member of alkene).

    Or

    Draw diagrams showing the formation of a double bond between carbon atoms in C2H4.

     

    Solution
    sp2 hybridisation. The electronic configuration of carbon (Z = 6) in the excited state is
    1 straight s squared space 2 straight s to the power of 1 space 2 straight p subscript straight x superscript 1 space space 2 straight p subscript straight y superscript 1 space 2 straight p subscript straight z superscript 1.
    In this type of hybridization one- s and two P-orbitals of the valence shell of carbon atom take part in hybridization go give three new sp2 hybrid orbitals. These sp2 hybrid orbitals lie in a plane and are directed towards the corners of an equilateral triangle with a carbon atom in the centre. The unhybridized 2p1 orbital lies perpendicular to the three hybridised orbitals.

    Representation of sp2 hybridization sp2 hybridization is also known as trigonal hybridisation. Each sp1 hybrid orbital has 1 third s-character and 2 over 3 space straight p minus character.
    The molecular orbital structure of ethylene: In ethene molecule, each carbon atom undergoes sp2 hybridisation. One sp2 hybrid orbital of one carbon atom overlaps axially with one sp2 hybrid orbital of the other carbon atom to form sigma (σ) C - C bond. The other two sp2 hybrid orbitals of each carbon atom overlap axially with its orbital of the hydrogen atom to form sigma (σ) C - H bonds. The unhybridized p-orbitals of the two carbon atoms overlap sidewise with each other to form weak pi (straight pi) bond. The straight pi bond consists of two straight pi electron clouds which lie above and below the plane of carbon and hydrogen atoms.

    (a) Formation of ethylene     (b) Molecular orbital structure molecule of ethylene
    Thus, ethylene molecule consists of four sigma C – H bonds, one sigma C - C bond and one straight pi bond between carbon-carbon atom. The bond length of carbon-carbon double bond of ethylene is 134pm (1–34 A).
    Question 178
    CBSEENCH11005731

    Apart from tetrahedral geometry, another possible geometry for CH4 is square planar with four H atoms at the corners of the square and the C atom at its centre. Explain why CH4 is not square planar?

    Solution
    Electronic configuration of carbon in the excited state is
    straight C presubscript 6 colon space 1 straight s squared space stack 2 straight s to the power of 1 space 2 straight p subscript straight x superscript 1 space 2 straight p subscript straight y superscript 1 space 2 straight p subscript straight z superscript 1 with underbrace below

    Here 1 s orbital & 3 p orbitals undergo hybridization to form sp3 hybrid orbitals .Hence, carbon atom undergoes sp3 hybridization in CH4 molecule and takes a tetrahedral shape.

    For a square planar shape, the hybridization of the central atom has to be dsp2, ie, 1 s orbital, 3p orbitals & 1 d orbitals have to undergo hybridization .However, an atom of carbon does not have d-orbitals to undergo dsp2 hybridization. Hence, the structure of CH4 cannot be square planar.
    Moreover, with a bond angle of 90° in square planar, the stability of CH4 will be very less because of the repulsion existing between the bond pairs. Hence, VSEPR theory also supports a tetrahedral structure for CH4.

    Question 179
    CBSEENCH11005732

    On the basis of hybridisation, discuss the orbital structure of: (i) BeF2 (ii) BH3.

    Solution
    (i) Orbital structure of BeF2 :

    To form BeF2 molecule, an electron gets promoted from filled 2s orbital to vacant 2p orbital. Therefore, the excited configuration of Be atom is

    In BeF2, Be atom is sp hybridised i.e. two hybrid orbitals are directed along a straight line with a bond angle equal to 180°. Each sp hybrid orbital overlaps axially with 2p half-filled orbital of F atom to form sigma Be – F bonds.

    (ii) Orbital structure of BH3:
    The electronic configuration of B (Z = 5) is 1s2 2s22P1.


    In BH3, B atom is sp2 hybridised and the three hybrid orbitals overlap axially with the orbital of the hydrogen atom to from three sigma B–H bonds.

    The shape is trigonal planar.
    Question 180
    CBSEENCH11005733

    The central atoms in CH4, NH3 and H2O are all said to have similar hybridisation but the bond angle H – A – H (where A is C, N or O) is different in each case. Explain stating in which case it is maximum and in which case it is minimum.

    Solution
    Due to sp3 hybridization, four such identical orbitals are symmetrically dispersed in space at an angle of 109°-28', which is the bond angle in methane. In NH3, there is one lone pair occupying one of the four symmetrical orbitals and due to its expansive nature suppresses the other three orbitals closer together at an angle of 107° and in H2O, there are two lone pairs as oxygen which suppresses the O – H bonds further closer together and they have an angle of 104.5°. Hence, H – A – H is maximum in CH4 and minimum in H2O.

    Question 181
    CBSEENCH11005734

    Discuss in brief the various types of hybridisation involving d-orbitals.

    Solution

    The elements present in the third period contain a-orbitals in addition to s and p orbitals.
    The energy of the 3d orbitals is comparable to,
    (i) the energy of 3s and 3p orbitals
    (ii) the energy of 4s and 4p orbitals.
    Hence the hybridization involving either 3s, 3p and 3d or 3d, 4s and 4p is possible. However, since the difference in energies of 3p and 4s orbitals is significant, therefore no hybridization involving 3p, 3d and 4s orbitals is possible.
    The hybridisation schemes involving s, p and d orbitals are summarised below:

    Shape of molecules/ions Hybridisation type Atomic obritals Examples
    Squre planar dsp2- d+s+p(2)

    [Ni(CN)4]2–,

    [Pt(Cl)4]2–

    Trigonal Bipyramdial sp3d s+p(3)+d PF5.PCl5
    Square pyramidal dsp3 d+s+p( 3) BrF5,XeOF4
    Octahedral sp3d2 s+p(3)+d(2) SF6,[CrF6]3–
      d2 sp3 d(2)+s+p(3)

    [Co(NH3)6]3+

     
    Question 182
    CBSEENCH11005735

    State and explain the geometric arrangements possible in sp3d and sp3d hybridisation. Name the d-orbitals involved in these.

    Solution
    sp3d hybridisation:

    In this type, one s, three p and one d-orbital (of a central atom of a compound) of nearly the same energy intermix to give five equivalent sp3d hybrid orbitals. These hybrid orbitals point towards the five corners of a trigonal bipyramid. Out of these five sp3d hybrid orbitals, three are directed towards the three corners of an equilateral triangle while the remaining two are at right angles to the plane of the first three orbitals, d-orbitals, involved in this case is dz2  For example in PF5, sp3d hybridization is involved.

    sp3 d2 hybridisation: 


    In this type, one s, three p and two d atomic orbitals of approximately same energy intermix to give six equivalent sp3d2hybrid orbitals which are directed towards six corners of a regular octahedron. It should be noted that the orbitals (s, p, d) which are mixed together belong to the same quantum shell (n). The two d orbitals involved in this hybridization are dx2–y2 and d2  Shapes of participating orbitals are as shown, e.g. in SF6, sp3 d2 hybridization is involved.
    Question 183
    CBSEENCH11005736

    On the basis of hybridisation, explain the shape of phosphorus penta fluoride (PF5).

    Solution
    In PF5, the central atom is 15P. The electronic configurations of phosphorus and fluorine atoms are as follows:

    It is the case of sp3d hybridization in which one 3s, three 3p and one 3d orbital of P-atom having nearly same energy intermix to given five sp3 dihybrid orbitals. Now five hybrid orbitals are available for a combination which permits the formation of five covalent bonds with five fluorine atoms of PF5



    But all the hybridised orbitals are not equivalent. Three of these are oriented towards the three corners of an equilateral triangle making an angle of 120° between them. The bonds formed by these orbitals are known as equatorial bonds. Remaining two orbitals are oriented at right angles to the plane of the first set of three orbitals. Thus PF5 has trigonal bipyramidal shape.

    Question 184
    CBSEENCH11005737

    Discuss the shape of:
     space left parenthesis straight i right parenthesis space PCl subscript 5 space space space left parenthesis ii right parenthesis space SF subscript 6
     on the basis of hybridization.

    Solution
    (i) Shape of PCl5:
    In PCl, the central atom is 15P. The electronic configuration of phosphorus and chlorine atoms are as follows:
      
    It is the case of sp3d hybridisation in which one 3s, three 3p and one 3d orbital of P-atom having nearly same energy intermix to give five sp3d hybrid orbitals. Now five hybrid orbitals are available for a combination which permits the formation of five covalent bonds with five chlorine atoms of PCl5


    But all the hybridised orbitals are not equivalent. Three of these are oriented towards the three corners of an equilateral triangle making an angle of 120° between them. The bonds formed by there orbitals are known as equatorial bonds. Remaining two orbitals are oriented at right angles to the plane of the first set of three orbitals. Thus PCl5 has trigonal bipyramidal shape.


    (ii) The shape of SF6: In SF6, the central atom is 16S. The electronic configuration of sulphur and fluorine atoms are as follows:


    It is the case of sp3d2 hybridisation in which one 3s, three 3p and two 3d orbitals of S atom having nearly same energy intermix to give six sp3d2 hybrid orbitals. Now six hybrid orbitals are half filled.


    Half filled 2p orbitals of six F atoms overlap with six-half filled sp3d2 hybrid orbitals of S-atom to form six sp3dp-p sigma bonds. So SF6 molecule has an octahedral structure.

     
    Question 185
    CBSEENCH11005738

    Which hybrid orbitals are used by carbon atoms in the following molecules ?

    (a) CH3 – CH3
    (b) CH3 – CH = CH2
    (c) CH3 – CH2 - OH
    (d) CH3 - CHO
    (e) CH3COOH

    Solution

    Both carbon atoms use sp3 hybrid orbitals. 


    Both carbon atoms (C1, C2) use a sp3 hybrid orbital.
    (d) CH3CHO
    Question 186
    CBSEENCH11005739

    Describe the change in hybridization (if any) of the Al atom in the following reaction:

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    Solution
    space Electronic space Configuration space of space 13 left parenthesis Al right parenthesis
space equals space 1 straight s squared 2 straight s squared 2 straight p to the power of 6 space 3 straight s squared space straight P subscript straight x superscript 1
    13Al (Excited state) = ls22s-22p63s13px3py1 .Hence in AlCl3, Al undergoes sphybridization to give it planar triangular structure. In AlCl4 , the empty 3p. orbital is also involved so that hybridization is sp3 and its shape is tetrahedral.
    Question 187
    CBSEENCH11005740

    Is there any change in the hybridisation of B and N atoms as a result of the following reaction?
    BF3 + NH3 → F3B.NH3?

    Solution
    In BF3, B is sp2 hybridised and in NH3, N is sp3 hybridised. After the reaction, hybridization of B changes to sp3 but that of N remains unchanged.


    Question 188
    CBSEENCH11005741

    What are non-polar and polar covalent bonds? Give examples.

    Solution
    (i) Non-polar covalent bond. If a covalent bond is formed between two identical atoms, the shared pair of electrons is attracted equally by both the atoms and lies exactly midway between them, such a bond is called a non-polar covalent bond. For example, in a molecule of H2 or Cl2, the shared pair of electrons is attracted equally between the two hydrogen atoms or chlorine atoms and hence the resulting bond is non-polar.

    (ii) Polar covalent bond. If a covalent bond is formed between two dissimilar (non-identical) atoms having different electronegativities, the shared pair of electrons is pulled closer towards more electronegative atom, such a bond is called the polar covalent bond. The more electronegative atom acquires partial negative charge (δ–) while less electronegative atom acquires a partial positive charge (δ+). For example, hydrogen fluoride molecule has a polar covalent bond.


    Other molecules having polar covalent are H-Cl, H2O and NH3.
    Question 189
    CBSEENCH11005742

    Can a non-polar molecule have polar covalent bonds? Explain.

    Solution

    Yes, it is possible in case of the linear molecule. For example, carbon dioxide is non-polar although both carbon-oxygen bonds in carbon dioxide are polar. Also, symmetrical molecules such as methane and carbon tetrachloride are non-polar although four carbon-chlorine bonds in CCl4 are polar because polarities of the bonds mutually cancel out and molecules are of non-polar nature.

    Question 190
    CBSEENCH11005743

    Why does chlorine form more polar hydride than iodine?

    Solution
    Chlorine is more electronegative (3.0) than iodine (2.4). Since the electronegativity difference in H – Cl bond is more than the electronegativity difference in H – I bond, therefore a hybrid of chlorine i.e. H – Cl is more polar than the hybrids of iodine i.e. H – I.
    Question 191
    CBSEENCH11005744

    Chlorine is non-polar molecule while HCl is polar covalent, Explain?

    Solution
    In a molecule of chlorine (Cl2), the shared pair of electrons is attracted equally between the two chlorine atoms and the resulting bond is nonpolar.

    Hence, chlorine is a non-polar molecule. On the other hand, in H-Cl the bonding electrons are not equally shared by the two atoms. The shared electron pair is strongly attracted towards the more electronegative chlorine atom.

    Question 192
    CBSEENCH11005745

    Anionic bond is an extreme case of a polar covalent bond. Justify.

    Solution
    According to Pauling, if the difference in electronegativity between the two atoms forming a bond is 1-9 than the bond has equal covalent and ionic character. However, if the difference becomes more than 1 -9 , the ionic character increases while the polar covalent character decreases. For example, the bond between sodium and fluorine is completely ionic because’ the electronegativity difference in sodium (0-9) and fluorine (4, 0) atoms is 3 , 1. On the other hand, the bond between carbon and chlorine is mainly covalent with the very little ionic character because the electronegativity difference in carbon (2 , 0) and chlorine (3, 0) atoms is (0 , 5).
    Question 193
    CBSEENCH11005746

    What causes the two atoms to combine to form a bond which is:
    (i) Non-polar
    (ii) Polar-covalent and
    (iii) Ionic in nature?

    Solution

    The nature of the bond between the two atoms depends on upon the electronegativity difference in them.
    (i) If the two atoms are identical or have the same electronegativity (C and S), the bond is of non-polar nature.
    (ii) If the two atoms differ in electronegativity, but the difference is less than 1 -9, the bond is mainly polar covalent with little ionic character. For example, the bond between carbon and chlorine.
    (iii) If the difference in electronegativity of two atoms is more than 1 -9, the percentage ionic character is more than the percentage polar covalent character. Larger the electronegativity difference, greater will be the ionic character. For example, the bond between sodium and fluorine is completely ionic.

    Question 194
    CBSEENCH11005747

    Briefly explain the term 'Dipole moment'. How is it expressed and what are its units?

    Solution
    Dipole moment :When a covalent bond is formed between atoms of different elements, the bonded pair is attracted more towards the atom of higher electronegativity. Thus, the molecule acquires polarity with a partial negative charge (δ–) on the most electronegative atom and a partial positive charge (δ+) on the less electronegative atom. As the ends of the molecule are having different .charges, they are also called dipoles. For example,
    Hδ+ - Clδ–.
    The polarity of a molecule is expressed in terms of dipole moment. It is the product of the magnitude of the charge on either end of the dipole and the distance separating the charges. If e is the magnitude of the charge and d is the distance separating the charges, then
    μ = e X d
    where μ represents the dipole moment.
    Dipole moment is a measure of the polarity of the covalent bond. It is expressed by an arrow pointing from positive pole to the negative pole with a small tail at the positive charge (→).
    Unit of dipole moment. Since the charge is of the order of 10–10 e.s.u. and distance is of the order of 10–8 cm, the value of the dipole moment is of the order of 10–10 - 10–8 e.s.u. cm or 10–18 e.s.u. cm = 1
    Debye or 1 D.
    ∴  μ = 10–18 e.s.u. cm = i D
    Thus, units of dipole moment are debye (D).
    Question 195
    CBSEENCH11005748

    Although both CO2 and H2O are triatomic molecules, the shape of H2O molecule is bent While that of CO2 is linear. Explain this on the  basis of dipole moment. 

    Solution

    The CO2 molecule has a zero dipole moment even though C and O have different electronegativities and each of the C = O bond is polar and has the same dipole moment. This indicates that the individual dipole moments are equal in magnitude and pointed in opposite directions and as a result, they cancel out each other.

    On the other hand, water is a polar molecule having a dipole moment, 1.84D. It is because water has been a bent structure in which two O-H bonds are oriented at an angle of 104.5° and do not cancel the dipole moments of each other. The molecular dipole moment of water (μ =1.84 D) is the resultant of the individual values of the dipole moment of two O – H bonds.

    Question 196
    CBSEENCH11005749

    Explain why BeH2 molecule has a zero dipole moment although the Be-H bonds are polar?

    Solution
    BeH2 is a linear molecule in which the two Be-H bonds are oriented in the opposite direction at an angle of 180°. Although the Be-H bonds are polar having the same dipole moment, but due to the linear structure of BeH2, the bond dipoles of the two Be - H bonds cancel each other. Therefore, the resultant dipole moment of BeH2 molecule is zero.

    Question 197
    CBSEENCH11005750

    Carbon tetrachloride and ammonia have dipole moment values. Explain.

    Solution
    Carbon tetrachloride molecule has zero dipole moment even though C and Cl have different electronegativities and each of the C - Cl bond is polar and has some dipole moment. This is because the individual dipole moments cancel out because of the symmetrical tetrahedral shape of the molecule.


    On the other hand, ammonia is a polar molecule having resultant dipole moment 1•49 D. 

    The molecular dipole moment of ammonia molecule is the resultant of three polar N  – H bonds oriented in space at an angle of 107° with respect to each other.
    Question 198
    CBSEENCH11005751

    Both BF3 and CH4 have zero dipole moment. Explain.

    Solution
    BF3 has zero dipole moment even though B and F have different electronegativities and each of the B – F bond is polar and has the same dipole moment. This is because, in the molecules of BF3, the fluorine atoms lie at the vertices of an equilateral triangle while boron atom lies at its centre. As a result, the individual dipole moments give a net sum of zero.

    On the other hand, methane molecule has zero dipole moment because the individual dipole moments cancel out because of the symmetrical tetrahedral shape of the molecule. 


    Question 199
    CBSEENCH11005752

    Sketch the bond moments and resultant dipole moment in SO2, cis and trans forms of CH2Cl2.

    Solution

    SO2: SO2 molecule has a bent shape in which two S = O bonds are oriented at an angle of 119-5°. The bond dipoles and the resultant dipole moment in the SO2 molecule are represented as shown.
    Cis form of CH2Cl2 has two chlorine atoms on the same side has a small resultant dipole moment while trans– form of CH2Cl2 has two chlorine atoms on the opposite side, the bond dipoles of the two C – Cl bonds cancel each other.

    Therefore the resultant dipole moment of trans form is zero.

    Question 200
    CBSEENCH11005753

    The dipole moment of hydrogen halides decreases from HF to HI. Explain this trend. 

    Solution
    The Ionic character in a covalent bond depends on upon the difference between the electronegativity of the two atoms. Greater the electronegativity difference, greater is the charge separation and therefore, greater is the ionic character in the bond.
    In H-X, X (F,Cl, Br, I) atom is more electronegative than H. Therefore,the H-X bond is polar and the direction of the dipole is from H to X. As the electronegativity of X decreases from F to I the charge separation decreases. Therefore, the dipole moment decreases.
    For example, the dipole moment of hydrogen halides follow the order:
    H - F > H - Cl > H -Br > H - I
    Electro- 1 - 9  1-1 0-9 0- 6 ‘ negativity difference.
    Dipole- 1-91 1-07 0-79 0-38 moment (D).
    Question 201
    CBSEENCH11005754

    Which out of the two molecules - OCS and CS2 has a higher dipole moment and why ?

    Solution
    OCS has a higher dipole moment. CS2 is a linear molecule in which two C = S bonds are oriented in the opposite directions at an angle of 180°. The bond dipoles of C = S has some dipole moment, but due to the linear structure of CS2, the bond dipoles of two C = S bonds cancel each other. Therefore the resultant dipole moment of CS2 is zero. On the other hand, the bond dipoles of C = S and C = O bonds in OCS molecule do not cancel with other (O is more electronegative than S). Hence the resulting dipole moment of OCS molecule is not zero. Hence OCS has a higher dipole moment.
    Question 202
    CBSEENCH11005755

    Discuss the applications (or importance) of dipole moment.

    Solution

    (i) The degree of polarity in a molecule : In , the case of diatomic molecules, the greater the polarity of the molecule, greater is the dipole moment. For example, HF (μ = 1 . 91 D) is more polar than HCl (μ= I -03 D).
    (ii)  The distinction between polar and non-polar molecules: Non-polar molecules like H2, CO2,CCl4 etc. have zero dipole moment whereas polar molecules such as HCi, NH3 and H2O etc. have some value of dipole moment. The non-polar molecules may have polar or non-polar bonds.
    (iii) Shapes of molecules. The value of dipole moment provides useful information about the shapes of molecules. For example, triatomic molecules having zero dipole moment have linear shape. For example, CO2, CS2 etc., while those triatomic molecules which have some dipole moment have angular shape. For example, H2O (μ  =1.84) has an angular shape.

    Question 203
    CBSEENCH11005756

    The molecule of SO2 has a dipole moment. Is the molecule linear or bent? Explain your answer.

    Solution
    Since the molecule of SO2 has a dipole moment (μ = 1• 60 D), therefore, it is expected to be a bent molecule and not linear. 
    The linear molecules have zero dipole  moment because in such molecules the polarities of the bonds cancel out each other.

    Question 205
    CBSEENCH11005758

    Which of the two - NH3 and NF3 has higher dipole moment and why?

    Solution

    NH3 has a higher dipole moment. Both these molecules have the pyramidal shape with one lone pair.
    In the case of NH3, the orbital dipole due to lone pair is in the same direction as the resultant dipole moment of the three N – H bonds. Therefore, it adds on the resultant of the N – H bonds. But in a case of NF3, the orbital dipole due to the lone pair is in the opposite direction to the resultant dipole moment of the three N – F bonds. Thus the lone pair moment cancels the resultant N – F bond moment. Consequently, the dipole moment of NF3 is low.


    Question 206
    CBSEENCH11005759

    What do you understand by resonance?

    Solution
    There are many covalent compounds in which a single definite structure of the compound is not capable of explaining all of its properties. To explain all the properties of such a compound we need the help of two or more structures and the actual compound is somewhat intermediate of these two or more structures i.e. actual compound is the hybrid of these two or more different structures. Thus resonance may be defined as a phenomenon in which a single compound is supposed to be existing as a hybrid of two or more structures differing in the distribution of electrons and not of atoms. These different structures of a molecule are known as contributing structures or resonating structures or canonical forms. No one of the contributing structure truly represents the molecule, but each one of them contributes to the final i.e. actual molecule is intermediate between all the contributing structures. Different contributing structures are written by putting a double head arrow (↔) between them. For example,
    (i) Benzene molecule is a resonance hybrid of the following two main contributing structures:

    (ii) SO2 is a hybrid of the following two contributing structures:
    straight O space rightwards arrow space space straight S space equals space straight O space space space left right arrow space space straight O space equals space straight S space rightwards arrow space straight O
    Question 207
    CBSEENCH11005760

    Discuss the resonance in CO2 and O3molecule.

    Solution
    Resonance in CO2: CO2 molecule is a resonance hybrid of the following three contributing structures.

    The above different contributing structures of CO2 molecule differ only in the distribution of electrons and not in the arrangement of atoms. Thus, C to O bond has a single bond, double bond as well as a triple bond character since all the structures contribute towards the hybrid.
    Resonance in (Ozone). The structure of ozone molecule is angular. Ozone molecule is the resonance hybrid of the following two structures:

    These two contributing structures (i) and (ii) of Omolecule differ only in the distribution of electrons.
    Question 208
    CBSEENCH11005761

    Write the resonance structures for SO3,   NO2 and NO subscript 3 superscript minus.

    Solution

    Resonance structure of the given molecule,
    (i) SO3 :

    Question 209
    CBSEENCH11005762

    Write the resonance structure for:
    (i) Benzene (C6H6)
    (ii) Carbonate ion (CO3)

     

    Solution

    Resonance structure for the given molecule ism,

    (i) Benzene (C6H6):

    Question 210
    CBSEENCH11005763

    What is resonance enthalpy? What is its significance?

    Solution
    The actual enthalpy of the molecule (i.e. enthalpy of resonance hybrid) is always found to be less than the enthalpy of any of its contributing structures. This difference in enthalpy is called resonance enthalpy. It is defined as the difference in enthalpy between the enthalpy of the most stable of the contributing structures and the enthalpy of the actual molecule (resonance hybrid).
    Resonance enthalpy = Enthalpy of the most stable contributing structure -  enthalpy of resonance hybrid.
    Due to the low fo resonance hybrid, it is more stable than any of its contributing structures. In other words, it can be said that resonance hybrid is always more stable because of resonance enthalpy. Larger the resonance enthalpy, more will be the stability of the compound. Also, relative stabilities of two hybrids can be compared in terms of resonance enthalpies.
    Question 211
    CBSEENCH11005764

    Define moleuclar orbital. What are the salient features of Molecular orbital theory?

    Solution

    A molecular orbital may be defined as a region in space associated with the nuclei of bonded atoms in a molecule where the probability of finding a particular electron is maximum.

    Salient features:

    (i) Molecular orbitals are formed by the linear combination of atomic orbitals having nearly the same energies.
    (ii) Molecular orbitals are associated with the nuclei of the bonded atom in a molecule.
    (iii) The number of molecular orbitals formed is equal to the number of combining atomic orbitals.
    (iv) When two atomic orbitals combine, they form two new orbitals called bonding molecular orbital and anti-bonding molecular orbital. The bonding molecular orbital has lower energy whereas anti-bonding molecular orbital has higher energy than the atomic orbitals.
    (v) The shapes of the molecular orbitals formed depend on upon the type of the combining atomic orbitals.
    (vi) The bonding molecular orbitals are represented as σ,straight pi δ etc. whereas the corresponding antibonding molecular orbitals are represented as straight sigma comma space straight pi comma space straight delta etc. 
    (vii) The filling of the molecular orbitals takes place according to the same rule as those of atomic orbitals. These are: 
     (a) Molecular orbitals are filled in order of their increasing energies (Aufbau principle).
    (b) Molecular orbital can have maximum two electrons and these must have opposite spin (Pauli’s exclusion principle).
    (c) A pairing of electrons in the degenerate molecular orbitals does not take place until each of them has one electron each (Hund’s rule of maximum multiplicity).

    Question 212
    CBSEENCH11005765

    Give at least two differences between atomic and molecular orbitals.

    Solution
    Atomic orbitals Molecular orbitals
    1. The electron cloud extends around the nucleus of a single atom. 1. The electron cloud extends around all the nuclei of bonded atoms in the molecules. It is obtained by combining atomic orbitals of comparable energy. 
    2. They are less stable.  2. They are more stable. 
    3. They have a simple shape. 3. They have a complex shape. They are represented by straight sigma comma space straight pi comma space etc.
    4. They are represented by s,p,d,f etc. 4. They may be bonding or antibonding.
    Question 213
    CBSEENCH11005766

    Give three points of difference between hybrid orbitals and molecular orbitals ?

    Solution
    Three points of difference are:
    Hybrid orbitals Molecular orbitals
    1. Valence atomic orbitals are involved. 1. All orbitals are involved.
    2. Atomic orbitals of one atom are used in the formation of hybrid orbitals.  2. Atomic orbitals of two or more atoms are involved in the formation of molecular orbitals. 
    3. Hybrid orbitals are of equal energy.  3. Molecular orbitals are of different energies.
    Question 214
    CBSEENCH11005767

    What is a linear combination of atomic orbitals (LCAO) far obtaining molecular orbitals ?

    Solution

    Molecular orbitals are formed by the combination of atomic orbitals. On combining two atomic orbitals, we get two molecular orbitals; one molecular orbital with lower energy is called bonding molecular orbital and its wave function is obtained by the linear addition of wave function and ΨA and ΨB of bonded atoms A and B.
    ΨMO = ΨA + Ψ(Bonding MO)
    The other molecular orbital with higher energy is called antibonding molecular orbital and its wave function is obtained by linear subtraction of wave functions of ΨA and Ψ of atomic orbitals.
    ΨMO = ΨA – ΨB (Antibonding MO).

     
    Question 215
    CBSEENCH11005768

    Give the points of difference betweeen bonding and antibonding molecular orbitals.

    Solution

    Differences between bonding and antibonding orbitals.

    Bonding molecular orbital Antibonding molecular orbital
    1. It is formed by the addition overlap of atomic orbitals.
    Ψ MO = ΨA + ΨB
    1. It is formed by the subtraction overlap of atomic orbitals.
    Ψ MO = ΨA – ΨB
    2. It possesses lower energy than the atomic orbitals from which it is formed. 2. It possesses higher energy than the atomic orbitals from which it is formed.
    3.  There is a greater electron density between the nuclei of bonded atoms. 3. There is less electron density between the nuclei of interacting atoms.
    4. Every electron in a bonding molecular orbital contributes to the attraction between two atoms. 4. Every electron in an antibonding molecular orbital contributes to repulsion between two atoms.
    5. These are designed as σ,straight pi δ etc. 5. These are designated as straight sigma comma space straight pi comma space straight delta etc.
    Question 216
    CBSEENCH11005769

    Write the important conditions required for the linear combination of atomic orbitals to form molecular orbitals.

    Solution

    The following are the conditions for the linear combination of atomic orbitals:
    (i) The combining atomic orbitals should have comparable energies.
    (ii) The combining atomic orbitals must have proper orientations (same symmetry) so that they are able to overlap to a considerable extent. For example, assuming 2-axis as molecular (or internuclear axis), allowed the combination of atomic orbitals are 2pz orbital of one atom can combine with 2pz orbital of another atom. On the other hand, 2pz orbital of one atom cannot combine with 2px or 2py orbital of another atom or 2px can not combine with 2py. Similarly, 2s orbital of one atom can combine with 2pz orbital but cannot combine with 2lpx or 2py orbital of another atom because they do not have proper orientation for the overlap.
    (iii) The extent of overlapping should be large. Greater the overlap, greater will be the electron density.

    Question 217
    CBSEENCH11005770

    Write the significance of a plus and minus sign shown in representing the orbitals.

    Solution

    The orbital is the maximum probability of finding an electron around the nucleus. This probability is measured in terms of the wave function. The wave function can be positive or negative values.
    Since orbitals are represented by wave functions, therefore a plus sign in an orbital represents a positive wave function and a minus sign represents a negative wave function. Further the wave functions of two 1s atomic orbitals can combine in two different ways:
    (i) When both have the same signs.
    (ii) When they have different signs.

    Question 218
    CBSEENCH11005771

    Considering x–axis as the internuclear axis which out of the following will not form a sigma bond and why? (a) 1 s and 1 s (b) 1 s and 2px : (c) 2py and 2py (d) 1s and 2s. 

    Solution
    Sigma bond is always formed between two half-filled atomic orbitals along their internuclear axis.i.e the line joining the centres of the nuclei of two atoms(axial overlapping). 2py and 2py will not form a sigma bond because taking x-axis as the internuclear axis, there will be lateral (sideway) overlap between the two 2pv orbitals forming a straight pi bond.
    Question 219
    CBSEENCH11005772

    Assuming Z-axis as molecular (or internuclear) axis, label the molecular orbtials formed by the following combinations of atomic orbitals: (i) 1 s + 1 s   (ii) 2py – 2pv (iii) 2Pz – 2pz.

    Solution

    (i) Combination of 1s and 1s atomic orbitals gives rise two molecular orbital such as bonding and antibonding  : straight sigma 1 straight s space bonding

straight sigma asterisk times 1 straight s space Anti space bonding
    (ii) Combination of 2py and 2py atomic orbitals gives rise to give two molecular orbitals, such as bonding and antibonding: straight sigma 2 straight p subscript straight y space equals bonding

straight sigma asterisk times 2 straight p subscript straight y space equals antibonding
    (iii) The combination of 2pz and 2pz atomic orbitals gives rise to give two molecular orbitals such as bonding and antibonding molecular orbital.
    straight sigma space 2 pz space equals space bonding

straight sigma asterisk times 2 pz space equals antibonding

    Question 220
    CBSEENCH11005773

    Discuss the shapes of molecular orbitals formed by the combination of the following atomic orbitals. (lateral overlap)
    (i)2px + 2py     (ii)   2pz – 2pz

    Solution
    (i) 2px + 2px: The atomic orbitals combine by addition lateral overlap, therefore, the molecular orbital formed by the addition lateral overlap of 2px orbital is designated as bonding molecular orbital called 2px orbital.


    (ii) 2p7 – 2pz: The two atomic orbitals combine by subtraction. The molecular orbital formed by the subtraction overlap of 2pz orbitals along the internuclear axis is designed as antibonding molecular orbital called o2pz orbital.
    Question 222
    CBSEENCH11005775

    Give the points of difference between sigma and pi molecular orbitals ?

    Solution
    σ-Molecular orbital straight pi-Molecular orbital
    1. It is formed by the overlap of atomic orbitals along the internuclear axis. 1. It is formed by the sidewise (lateral) overlapping of the atomic orbitals.
    2. Due to head on the overlap, the overlapping is maximum 2. Due to sidewise overlap, overlapping is minimum. 
    3. It consists of one electron cloud. 3. It consists of two electron clouds, one lying above and the other lying below a plane passing through the nuclei.
    4. Its electron cloud is symmetrical about the internuclear axis. 4. Its electron cloud is not symmetrical about the internuclear axis.
    Question 223
    CBSEENCH11005776

    What informations are conveyed from the electronic configuration of the molecule?

    Solution

    The information is conveyed from the electronic configuration.
    (a) From the electronic configuration, it is possible to find out the number of electrons in bonding molecular orbitals (Nb) and a number of electrons in anti-bonding orbitals (Na).
    (i) The molecule is stable if Nb > Na.
    (ii) The molecule is unstable if Nb < Na.
    (iii)  The molecule is unstable if Nb = Na.
    It may be noted that even if the number of electrons in bonding M.O. and the number of electrons in anti-bonding M.O. are equal, the atoms do not combine to form a molecule. This is because of the fact that the destabilising effect of anti– bonding electrons is slightly more than the stabilising effect of bonding electrons.

    (b) To predict the magnetic behaviour of molecules i.e. if all the electrons in a molecule are paired, the substance is diamagnetic and in case there are unpaired electrons in a molecule, the substance is paramagnetic.

    Question 224
    CBSEENCH11005777

    Define bond order. What informations are conveyed by bond order?

    Solution

    Bond order may be defined as half the difference between number of electrons in bonding molecular orbitals and the number of electrons in antibonding molecular orbitals, i.e., 
     space Bond space order space
space space equals space 1 half open square brackets straight N subscript straight b space minus space straight N subscript straight a close square brackets
straight N subscript straight b space equals space No. space of space electrons space in space bonding space space straight M. straight O. apostrophe straight s space
straight N subscript straight a space equals No. space of space electrons space in space antibonding space straight M. straight O. straight s.

    Information conveyed by Bond Order:
    (i) If the value of the bond order is positive, it indicates a stable molecule and if the value of the bond order is negative or zero, it means that the molecule is unstable and is not formed.
    (ii) The dissociation energy of the molecule is directly proportional to the bond order of the molecule i.e. greater the bond order, greater is the bond dissociation energy.
    (iii) Bond length of the molecule is inversely proportional to the bond order of the molecule i.e. greater the bond order, the shorter will be the bond length.
    (iv) Knowing the bond order, the number of covalent bonds between the atoms in the molecule can be predicted. Bond order of a molecule is equal to the number of covalent bonds between the atoms in the molecule.
    (v) If the bond order is fractional, the molecule will definitely be paramagnetic. However, if the bond order is the whole number, the molecule may or may not be paramagnetic.

    Question 225
    CBSEENCH11005778

    Give the number of electrons which occupy the bonding molecular orbital in H2+ H2 and He2.   

    Solution

    (i) The number of electrons in bonding molecular orbital of H2+ is 1.
    (ii) The number of electrons in bonding molecular orbital of H is 2.
    (iii) The number of electrons in bonding molecular orbital of He2 is 2.

    Question 226
    CBSEENCH11005779

    What do you understand by bond order? How is it related with bond length and bond energy? Explain on the basis of bond order that He2 molecule does not exist.

    Solution
    Bond order is equal to one-half of the difference between the number of electrons in the bonding (Nb) and antibonding (Na) molecular orbitals:
    Bond space order space equals space 1 half open square brackets straight N subscript straight b space minus space straight N subscript straight a close square brackets space space space space space space space space space space space
    Bond order is inversely proportional to bond length and directly proportional to bond energy.
    Bond order of He subscript 2 molecule 
                                 equals space 1 half left square bracket straight N subscript straight b space minus space straight N subscript straight a right square bracket
equals space 1 half open square brackets 2 minus 2 close square brackets
equals space 0
    Thus He2 consists of no bonds i.e. bond does not exist.
    Question 227
    CBSEENCH11005780

    Why the bond orders of He2+ and H2 are identical?

    Solution

    Molecular ion                    Molecular orbital configuration
    space He subscript 2 superscript plus                                       open parentheses straight sigma subscript 1 straight s end subscript close parentheses squared space left parenthesis straight sigma subscript 1 straight s end subscript right parenthesis to the power of 1
    He subscript 2 superscript minus                                         left parenthesis straight sigma subscript 1 straight s end subscript right parenthesis squared space left parenthesis straight sigma subscript 1 straight s end subscript right parenthesis to the power of 1
    Since both He2+ and H2 have equal number of bonding (Nb) and antibonding (Na) electrons because of identical molecular orbital configuration, their bond order is given by   equals 1 half open square brackets straight N subscript straight b space minus space straight N subscript straight a close square brackets
equals space 1 half open square brackets 2 minus 1 close square brackets
equals space 1 half space are space identical.

    Question 228
    CBSEENCH11005781

    Using LCAO method for the formation of molecular orbitals in case of homonuclear diatomic hydrogen molecule.

    Solution

    According to LCAO method, molecular orbitals are formed by the combination of atomic  orbitals.
    In the case of H2 molecule, each H-atom consists of one atomic orbital (i.e. 1s) having one electron each.
    On combining these two atomic orbitals of two H-atoms,  we get two molecular orbitals for H2 molecule. One molecular orbital is lower in energy called bonding molecular orbital and its wave function is obtained by linear addition of wave functions of two
    H-atoms Ψ (1s) + Ψ Ψ (1s) → Ψ MO. (bonding MO called a is ).
    The other molecular orbital with higher energy is called antibonding molecular orbital and its wave function is obtained by linear subtraction of wave functions of two H-atoms as:
    Ψ (1s) – Ψ (1s) → Ψ MO
    (Antibonding M.O. called).
    The energy level diagram of H2 molecule can be given as:

    Question 229
    CBSEENCH11005782

    Draw the molecular orbital diagram for:
    (i) Be2
    (ii) B2 and predict bond order and magnetic properties.

    Solution

    (i) Be2 molecule: The electronic configuration of Be(Z = 4) is:
    4 Be 1s2 2s1
    Be2 molecule is formed by the overlap of atomic orbitals of both beryllium atoms.
    Number of valence electrons in Be atom = 2
    Thus in the formation of Be2 molecule, two outer electrons of each Be atom i.e. 4 in all, have to be accommodated in various molecular orbitals in the increasing order of their energies.
    .

    The molecular orbital electronic configuration,
    Be subscript 2 colon space open square brackets KK left parenthesis straight sigma 2 straight s right parenthesis squared space left parenthesis straight sigma asterisk times 2 straight s right parenthesis squared close square brackets
Here space space space straight N subscript straight b space equals space 2 comma space space space straight N subscript straight a space equals space 2
Bond space order space space equals space 1 half open square brackets straight N subscript straight b space minus space straight N subscript straight a close square brackets space equals space 1 half left square bracket 2 minus 2 right square bracket space equals space 0
    Magnetic property: Since bond order is zero, Be2 molecule does not exist. It is diamagnetic due to the absence of any unpaired electron.
    B2 molecule: The electronic configuration of B atom (Z = 5) is
    straight B presubscript 5 space colon thin space 1 straight s squared space 2 straight s squared space straight p subscript straight x superscript 1

    B2 molecule is formed by the overlap of atomic orbitals of both boron atoms. A number of valence electrons of each boron atom = 3.
    In the formation of B2 molecule, three valence electrons of each boron atom i.e. 6 in all, have to be accommodated in various molecular orbitals in the increasing order of their energies.



    MO electronic configuration:
    straight B subscript 2 colon space open square brackets KK left parenthesis straight sigma 2 straight s right parenthesis squared space space left parenthesis straight sigma asterisk times 2 straight s right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight x right parenthesis to the power of 1 space left parenthesis straight pi 2 straight p subscript straight y right parenthesis to the power of 1 close square brackets
    Bond order:  Here Nb = 4,   Na = 2
    Bond order  = Bond space order space equals space 1 half open square brackets straight N subscript straight b space minus space straight N subscript straight a close square brackets space equals space 1 half open square brackets 4 minus 2 close square brackets space space equals space 1
    The two boron atom is B2 molecules are linked by one covalent bond.
    Magnetic properties: Since each straight pi2px and straight pi2py MO contains unpaired electron, therefore B2 molecule is paramagnetic.

    Question 230
    CBSEENCH11005783

    Is B2 molecule paramagnetic or diamagnetic? Explain.    

    Solution

    The M.O. electronic configuration of B2 molecule is
    B2: [KK (σ2s)2 (σ2s)2 (straight pi2px)1(straight pi2py)1]
    Since each straight pi2px and straight pi2py  MO contains unpaired electron, therefore B2 molecule is paramagnetic. 

    Question 231
    CBSEENCH11005784

    Discuss the formation of N2 molecule on the basis of MO theory. Predict its:
    (i) Bond order
    (ii) Magnetic character.

    Solution

    The electronic structure of nitrogen atom is 1 straight s squared comma space 2 straight s squared comma space 2 straight p subscript straight x superscript 1 comma space space 2 straight p subscript straight y superscript 1 comma space space 2 straight p subscript straight z superscript 1 comma Leaving out 4 electrons in the 1s orbital of two nitrogen atoms constituting the molecule (represented as KK), the molecular orbital energy diagram for remaining 10 electrons in nitrogen (N2) is as shown as below:

    (i) Electronic configuration:
    N2 : [KK (σ2s)2 (σ2s)2 (straight pi2px)1(σ2pz)2]
    (i) Bond order : Here Nh = 8 and Na = 2
    Bond space order space equals space 1 half open square brackets straight N subscript straight b minus straight N subscript straight a close square brackets
space space space space space space space space space space space space space space space space space equals 1 half open square brackets 8 minus 2 close square brackets space equals space 6 over 2 space equals space 3
    The two nitrogen atoms in nitrogen molecule are linked by three covalent bonds (i.e. a triple bond).
    (ii) Magnetic character: Since all the electrons are paired, nitrogen is diamagnetic.

    Question 232
    CBSEENCH11005785

    Write the stability configuration of straight N subscript 2 superscript plus comma space space straight N subscript 2 superscript minus space space or space space straight N subscript 2 superscript 2 minus end superscript space ions and predict their bond order, stability and magnetic character. 

    Solution

    a) straight N subscript 2 superscript plusion: It is formed from straight N subscript 2 superscript plus a molecule by the loss of one electron. This electron will be lost from 2p7 orbital of nitrogen molecule.
    (i) Electronic configuration:
      straight N subscript 2 superscript plus space space space space space space colon space space space space open square brackets KK space space space space left parenthesis straight sigma 2 straight s right parenthesis squared space space space space space space left parenthesis straight sigma asterisk times 2 straight s right parenthesis squared space space space left parenthesis straight pi 2 straight p subscript straight x right parenthesis squared space left parenthesis straight sigma 2 straight p subscript straight z right parenthesis to the power of 1 close square brackets
space space space left parenthesis ii right parenthesis space Bond space order colon space Here space straight N subscript straight b space equals space 7 comma space space space straight N subscript straight a space equals space 2
Bond space order space space equals space 1 half open square brackets straight N subscript straight b minus straight N subscript straight a close square brackets space equals space 1 half open square brackets 7 minus 2 close square brackets space equals space 5 over 2 space equals space 2.5
    (iii) Stability:  As the bond order is positive, it is quite stable. 
    (iv) Magnetic character: Since 2pz orbital has one unpaired electron, therefore it is paramagnetic.
    (b) straight N subscript 2 superscript minus ion : It is formed by the gain of one electron by N2 molecule.
    This electron will go to either straight pi to the power of asterisk times 2 straight p subscript straight x space space or space space straight pi 2 straight p subscript straight y orbital of N2 each of which is empty.
    (i) Electronic configuration.
    straight N subscript 2 superscript 2 minus end superscript colon space space open square brackets KK left parenthesis straight sigma 2 straight s right parenthesis squared space left parenthesis straight sigma to the power of asterisk times 2 straight s right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight x right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight z right parenthesis squared space left parenthesis straight sigma 2 straight p subscript straight z right parenthesis squared space left parenthesis straight pi to the power of asterisk times 2 straight p subscript straight x right parenthesis to the power of 1 close square brackets
    (ii) Bond order: Here Nb = 8;  Na = 3
    Bond space order space equals space 1 half open square brackets straight N subscript straight b space minus space straight N subscript straight a close square brackets space equals space 1 half open square brackets 8 minus 3 close square brackets space equals space 5 over 2 space equals space 2.5
    (iii) Stability. Bond order being positive, N2 is quite stable.
    (iv) Magnetic character Due to the presence of an unpaired electron in straight pi*2px orbital, it is paramagnetic.
    (c) straight N subscript 2 superscript 2 minus end superscript ion: It is formed when molecule gains two electrons,
    (i) Electronic configuration
    straight N subscript 2 superscript 2 minus end superscript space colon space space open square brackets KK space left parenthesis straight sigma 2 straight s right parenthesis squared space left parenthesis straight sigma to the power of asterisk times 2 straight s right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight x right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight y right parenthesis squared space left parenthesis straight sigma 2 straight p subscript straight z right parenthesis squared space left parenthesis straight pi to the power of asterisk times 2 straight p subscript straight x right parenthesis to the power of 1 left parenthesis straight pi asterisk times 2 straight p subscript straight y right parenthesis to the power of 1 close square brackets
    (ii) Bond order:  Here Nb = 8;   Na = 4
    Bond space order space equals space 1 half open square brackets straight N subscript straight b space minus space straight N subscript straight a close square brackets space space equals space 1 half open square brackets 8 minus 4 close square brackets space equals 4 over 2 space equals space 2
    (iii) Stability. Since bond order is positive, it is quite stable.
    (iv) Magnetic character: As it has two unpaired electrons one each in straight pi to the power of asterisk times 2 straight p subscript straight x space and space straight pi to the power of asterisk times 2 straight p subscript straight y orbitals, it is paramagnetic.

    Question 233
    CBSEENCH11005786

    Draw the molecular orbital energy diagram for oxygen molecule (O2) and show that:
    (i) It has a double bond
    (ii) It has paramagnetic character.

    Solution
    Electronic structure of oxygen atom is 1 straight s squared comma space 2 straight s squared comma space 2 straight p subscript straight x superscript 2 comma space 2 straight p subscript straight y superscript 1 comma space 2 straight p subscript straight z superscript 1 Leaving out the 4 electrons in the 1s orbitals of two oxygen atoms constituting the molecule (represented as KK), the molecular orbital energy diagram for remaining 12 electrons of oxygen as molecule is shown:

    (i) Electronic configuration:
    left square bracket KK thin space open parentheses straight sigma 2 straight s close parentheses squared space left parenthesis straight sigma asterisk times 2 straight s right parenthesis squared space left parenthesis straight sigma 2 straight p subscript straight z right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight x right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight y right parenthesis squared space left parenthesis straight pi asterisk times 2 straight p subscript straight x right parenthesis to the power of 1 space left parenthesis straight pi asterisk times 2 straight p subscript straight y right parenthesis to the power of 1 right square bracket
    (ii) Bond order: Here Nb = 8;    Na = 4
    Bond space order space equals space 1 half open square brackets straight N subscript straight b minus space straight N subscript straight a close square brackets space equals space 1 half left parenthesis 8 minus 4 right parenthesis space equals space 2
    The two oxygen atoms in a molecule of oxygen are united through two covalent bonds (i.e.  a double bond).
    (iii) Paramagnetic character : Since a molecule of oxygen has two unpaired electrons in the straight pi asterisk times 2 straight p subscript straight x space and space straight pi asterisk times 2 straight p subscript straight y orbitals, molecular oxygen should be paramagnetic.
     
    Question 234
    CBSEENCH11005787

    Using a molecular orbital diagram, predict the bond order, stability and magnetic character of O2,O2+, and straight O subscript 2 superscript 2 minus end superscript left parenthesis peroxide space ion right parenthesis . Also, write their electronic configurations.

    Solution

    O2(Superoxide ion): This ion is formed by the addition of one electron.
    O2 + e- → O2
    This additional electron will be added up in the straight pi asterisk times 2 straight p subscript straight x space space space or space space straight pi asterisk times 2 straight p subscript straight y molecular orbital.
    Electronic configuration:
    straight O subscript 2 superscript minus colon space space left square bracket KK space left parenthesis straight sigma 2 straight s right parenthesis squared space left parenthesis straight sigma asterisk times 2 straight s right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight z right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight x right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight y right parenthesis squared space left parenthesis straight pi asterisk times 2 straight p subscript straight x right parenthesis squared space left parenthesis straight pi asterisk times 2 straight p subscript straight y right parenthesis to the power of 1 right square bracket
    Bond order:
    Here Nb = 8;   Na = 5
    Bond space order space equals space 1 half open square brackets straight N subscript straight b space minus straight N subscript straight a close square brackets
space space space space space space space space space space space space space space space space equals space 1 half left parenthesis 8 minus 5 right parenthesis space equals space 3 over 2 equals space 1 1 half
    Stability : As the bond order is positive, it is quite stable.
    Magnetic character: It has one unpaired electron in the straight pi asterisk times 2 straight p subscript straight y molecular orbital. 
    therefore, it is paramagnetic.
    O+2 ion  This ion is formed by the loss of one electron from O2 molecule.
    O2 →O2+ e
    This electron will be lost from straight pi*2px or straight pi*2py molecular orbital.
    Electronic configuration:
    straight O subscript 2 superscript plus semicolon space space open square brackets KK space left parenthesis straight sigma 2 straight s right parenthesis squared space left parenthesis straight sigma asterisk times 2 straight s right parenthesis squared space left parenthesis straight sigma 2 straight p subscript straight z right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight x right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight y right parenthesis squared space left parenthesis straight pi asterisk times 2 straight p subscript straight x right parenthesis to the power of 1 close square brackets
    Bond order:  Here Nb = 8;    Na = 3
    Bond space order space equals space 1 half open square brackets straight N subscript straight b space minus space straight N subscript straight a close square brackets space space equals space 1 half left parenthesis 8 minus 3 right parenthesis space equals 5 over 2 space equals 2 1 half
space
    Stability: As the bond order is positive, it is quite stable.
    Magnetic character: Since straight O subscript 2 superscript plus ion has one unpaired electron in the straight pi asterisk times 2 straight p subscript straight x orbital, therefore, it is paramagnetic.
    straight O subscript 2 superscript 2 minus end superscript left parenthesis peroxide space ion right parenthesis: The ion is formed when O2 molecule gains two electrons
    straight O subscript 2 plus 2 straight e to the power of minus space rightwards arrow space straight O subscript 2 superscript 2 minus end superscript
    These two electrons will be added to the straight pi*2px and straight pi*2py molecular orbitals, one in each.
    Electronic configuration:
    straight O subscript 2 superscript 2 minus end superscript colon space space open square brackets KK space left parenthesis straight sigma 2 straight s right parenthesis squared space left parenthesis straight sigma asterisk times 2 straight s right parenthesis squared space left parenthesis straight sigma 2 straight p subscript straight z right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight x right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight y right parenthesis squared space left parenthesis straight pi asterisk times 2 straight p subscript straight x right parenthesis squared space left parenthesis straight pi asterisk times 2 straight p subscript straight y right parenthesis squared close square brackets
    Bond order: Here Nb = 8;    Na = 6
    Bond space order space equals space 1 half open square brackets straight N subscript straight b minus straight N subscript straight a close square brackets space equals space 1 half left parenthesis 8 minus 6 right parenthesis space equals space 1

    Stability: As the bond order is positive, it is quite stable.
    Magnetic character: As one of the molecular orbital has a unpaired electron, it is diamagnetic.

    Question 235
    CBSEENCH11005788

    Discuss the relatives stabilities, bond dissociation energies and bond lengths of O2
    space space straight O subscript 2 superscript plus comma space straight O subscript 2 superscript minus space an space straight O subscript 2 superscript 2 minus end superscript species. 
          

    Solution

    For O2 molecule:
                  Nb = 8,   Na = 4
    space space Bond space order space equals space 1 half open square brackets straight N subscript straight b space minus space straight N subscript straight a close square brackets space equals space 1 half left square bracket 8 minus 4 right square bracket space equals space 2
    space space space space For space straight O subscript 2 superscript plus space ion colon
space space space space space space space space space space space space space space space space space straight N subscript straight b space equals space 8 comma space space space straight N subscript straight a space equals space 3
space space Bond space order space equals space 1 half open square brackets straight N subscript straight b space minus space straight N subscript straight a close square brackets
space space space space space space space space space space space space space space space space equals 1 half open square brackets 8 minus 3 close square brackets space equals space 5 over 2 space equals 2 1 half
    space space For space straight O subscript 2 superscript minus space left parenthesis superoxide space ion right parenthesis colon
space space space space space space space space space space space space space space space space space space space space space straight N subscript straight b space equals space 8 space comma space space straight N subscript straight a space equals space 5
space space Bond space order space equals space 1 half left square bracket 8 minus 5 right square bracket space equals space 3 over 2 space equals space 1 1 half
    space space For space straight O subscript 2 superscript 2 minus end superscript space left parenthesis peroxide space ion right parenthesis colon
                         space space straight N subscript straight b space equals space 8 comma space space straight N subscript straight a space equals 6
    space space Bond space order space equals space 1 half open square brackets straight N subscript straight b space minus space straight N subscript straight a close square brackets space equals space 1 half open square brackets 8 minus 6 close square brackets space equals space 1
    As bond dissociation energies are directly proportional to the bond order, therefore, the dissociation energies of these molecular species are in order:
    space space straight O subscript 2 superscript plus greater than space straight O subscript 2 greater than space straight O subscript 2 superscript minus greater than space straight O subscript 2 superscript 2 minus end superscript
    As greater the bond dissociation energy, greater is the stability; the stability of these species is also as in the above order.
    As bond length is inversely proportional to bond order, therefore their bond lengths will be in order:
    space space straight O subscript 2 superscript 2 minus end superscript space greater than space straight O subscript 2 superscript minus space greater than space straight O subscript 2 space greater than space straight O subscript 2 superscript plus

    Question 236
    CBSEENCH11005789

    Is the bond order in superoxide ion more or less than in peroxide ion? Explain on the basis of MO theory.

    Solution

    The MO electronic configuration of superoxide ion left parenthesis straight O subscript 2 superscript minus right parenthesis is
                    space open square brackets KK left parenthesis straight sigma 2 straight s right parenthesis squared space left parenthesis straight sigma asterisk times 2 straight s right parenthesis squared space left parenthesis straight sigma 2 straight p subscript straight z right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight x right parenthesis squared left parenthesis straight pi 2 straight p subscript straight y right parenthesis squared space left parenthesis straight pi asterisk times 2 straight p subscript straight x right parenthesis squared thin space left parenthesis straight pi asterisk times 2 straight p subscript straight y right parenthesis to the power of 1 close square brackets
    Here straight N subscript straight b space equals space 8 space space and space straight N subscript straight a space equals space 5
    therefore space space space Bond space order space equals space 1 half open square brackets straight N subscript straight b space minus space straight N subscript straight a close square brackets
space equals space 1 half open square brackets 8 minus 5 close square brackets space equals space 3 over 2 space equals space 1 1 half
    The M.O. electronic configuration of peroxide ion open parentheses straight O subscript 2 superscript 2 minus end superscript close parentheses is                                         open square brackets KK left parenthesis straight sigma 2 straight s right parenthesis squared space space left parenthesis straight sigma asterisk times 2 straight s right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight z right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight x right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight y right parenthesis squared space left parenthesis straight pi asterisk times 2 straight p subscript straight x right parenthesis squared space left parenthesis straight pi asterisk times 2 straight p subscript straight y right parenthesis squared close square brackets
     Here space space space straight N subscript straight b space equals space 8 space space and space straight N subscript straight a space equals space 6
therefore space space space Bond space order space equals space 1 half open square brackets straight N subscript straight b space minus space straight N subscript straight a close square brackets space equals space 1 half open square brackets 8 minus 6 close square brackets space equals space 1
    So, the bond order in superoxide ion is more than in peroxide ion. 

    Question 237
    CBSEENCH11005790
    Question 238
    CBSEENCH11005791

    Using bond order show that N2 would be expected to have a triple bond, F2 a single bond and Ne2 no bond.

    Solution
    We know that bond order represents a number of covalent bonds in a molecule or a species. Bond order  = 1 half left square bracket straight N subscript straight b space minus space straight N subscript straight a right square bracket
     left parenthesis straight i right parenthesis space Bond space order space of space straight N subscript 2 space equals space 1 half left square bracket 8 minus 2 right square bracket space equals space 1 half cross times 6 space equals space 3
Thus space straight N subscript 2 space consists space of space straight a space triple space bond.
left parenthesis ii right parenthesis space Bond space order space of space
space space space space space space space space space space space space space space space space space space straight F subscript 2 space equals space 1 half left square bracket 8 minus 6 right square bracket space equals space 1 half cross times 2 space equals space 1
    Thus F2 consists of a single bond.
    (iii) Bond order of Ne2
    equals 1 half left square bracket 8 minus 8 right square bracket space equals space 0
    Thus Ne2 consists of no bonds.

    Question 239
    CBSEENCH11005792

    Show that N2 molecule has a greater bond dissociation energy than N-2 where O2 has lower bond dissociation energy than O+2.

    Solution

    The bond dissociation energy is directly proportional to bond order such that,
    greater the bond order,  greater is the bond dissociation energy.
       Bond space order space space equals space 1 half left square bracket straight N subscript straight b space minus space straight N subscript straight a right square bracket
therefore space space space space Bond space order space of space straight N subscript 2 space equals space 1 half left square bracket 8 minus 2 right square bracket space equals 1 half cross times 6 space equals space 3
Bond space order space of space straight N subscript 2 superscript minus space equals space 1 half left square bracket 8 minus 3 right square bracket space equals space 5 over 2 space equals space 2.5
Bond space order space of space straight O subscript 2 space equals space left square bracket 8 minus 4 right square bracket space equals space 4 over 2 space equals space 2
Bond space order space of space straight O subscript 2 superscript plus space equals space 1 half left square bracket 8 minus 3 right square bracket space equals space 5 over 2 space equals space 2.5

    ∴   N2 has greater bond dissociation energy than  N-2. O2 has a lower bond dissociation energy than O+2.

    Question 240
    CBSEENCH11005793

    Which of the following has higher bond dissociation energy and why?
    (i) N+  (ii) O+

    Solution
    Greater the bond order, greater is the bond dissociation energy.
    Bond space order space of space straight N subscript 2 superscript plus space equals space 1 half left parenthesis 7 minus 2 right parenthesis space equals space 5 over 2 space equals space 2.5
Bond space order space of space straight O subscript 2 superscript plus space equals space 1 half left parenthesis 8 minus 3 right parenthesis space equals space 5 over 2 space equals space 2.5
    Since the bond order of both N2 and O2 is same, the stability is to be divided in terms of antibonding electrons. Since the last e- in O2 enters antibonding orbital, it is thermally less stable and has lesser bond dissociation energy.
    Thus straight N subscript 2 superscript plus has higher bond dissociation energy than straight O subscript 2 superscript plus.
    Question 241
    CBSEENCH11005794

    Give the reason for the following: Bond order in N2 is 3 whereas it is 2.5 in NO ?

     

    Solution

    Total number of electrons in  N2 = 7 + 7 = 14
    The electronic configuration is:
       KK open square brackets open parentheses straight sigma subscript 2 straight S end subscript close parentheses squared space left parenthesis straight sigma asterisk times subscript 2 straight S end subscript right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight X right parenthesis squared space left parenthesis straight pi 2 straight p subscript straight y right parenthesis squared space left parenthesis straight sigma 2 straight p subscript straight z right parenthesis squared close square brackets
Now space straight N subscript straight b space equals space 8 semicolon space space space straight N subscript straight a space equals space 2
Here space bond space order space equals space 1 half left square bracket straight N subscript straight b space minus space straight N subscript straight a right square bracket
space space space space space space space space space space space space space space space space space space space space space equals space 1 half left square bracket 8 minus 2 right square bracket
space space space space space space space space space space space space space space space space space space space space space space equals space 3
    Total number of electrons in NO = 7 + 8 =  15. The 15th electron enters into left parenthesis straight pi asterisk times 2 straight p subscript straight x right parenthesis
    Now Nb = 8 and Na = 3
    Hence space Bond space order space equals space 1 half left square bracket straight N subscript straight b space minus space straight N subscript straight a right square bracket space equals space 1 half left square bracket 8 minus 3 right square bracket space equals space 2.5

    Question 242
    CBSEENCH11005795

    Give the points of resemblance and points of difference between valence bond theory and molecular orbtial theory.

    Solution

    Points of resemblance: According to both the theories:
    (i) The bond results from the overlap of atomic orbitals.
    (ii) The atomic orbitals overlapping each other must be the same energy and must have the same symmetry.
    (iii) The electron charge resides in the region between the atomic nuclei.
    (iv) Both are approximate theories.
    (v) Account the directional character of covalent bonds.
    (vi) Predict the non-existence of helium molecule (He2) and neon molecule (Ne2).

    (b) Points of difference:

    Valence Bond theory Molecular Orbital Theory
    1. Electrons in molecules are localised as if they are in isolated atoms. 1. It treats the nuclei of the molecules as polycentric and then constructs the molecular orbitals.
    2. Atomic orbitals of participating atoms retain their individual character to a large extent. 2. Atomic orbitals of the participating atom lose their individual character.
    3. It fails to explain paramagnetism of O2. 3. It explains the paramagnetism of O2.
    4. Resonance is an important part of valence bond theory 4. Resonance has no role in this theory.
    5. It is simple to apply. 5. It is more difficult to apply. 
    6. It fails to explain the possibility and existence of H2+ 6. It explains the possibility and existence of H2+
    Question 243
    CBSEENCH11005796

    What is hydrogen bond? How is it formed?

    Solution

    A hydrogen bond can be defined as the attractive force which binds hydrogen atom of one molecule with the electronegative atom (F, O or N).

    Cause of formation of Hydrogen Bond:

    When hydrogen is bonded to strongly electronegative element X, the electrons pair shared between the two atoms moves far away from a hydrogen atom. As a result, the hydrogen atoms becomes highly electropositive with respect to the other atom ‘X’.  Since there is displacement of electrons towards X, the hydrogen acquires fractional positive charge (δ+) while X attain fractional negative charge (δ–). This result in the formation of a polar molecule having electrostatic force of attraction which can be represented as: 



     This weak electrostatic attraction constitutes hydrogen bond. For example,

    Question 244
    CBSEENCH11005797

    What are the conditions for hydrogen bonding ?

    Solution

    These are:
    (i) Hydrogen atom should be bonded to highly electronegative atom (N, O, F). The strength of the hydrogen bond increases with an increase in the electronegativity of the other atom. For example, the electronegativity of N, O, F increases as N<OTherefore, the strength of hydrogen bond also increases as N – H ... N < O – H...O < F - H ... F.
    (ii) The size of the electronegative atom should be small. Smaller the size of the atom, more the electrostatic force of attraction, stronger will be the hydrogen bond.

    Question 245
    CBSEENCH11005798

    Water is a liquid while hydrogen sulphide is a gas. Explain. 

    Solution

    Water exists as a liquid at room temperature with a high boiling point. Sulphur is less electronegative than oxygen, and the S-H bond is much less polar than the O-H bond. Hence, there is no hydrogen bonding in hydrogen sulphide, and it exists as a gas normally with discrete H2S molecules.

    Question 246
    CBSEENCH11005799

    Out of NH3 and PH3, which has higher boiling point and why?

    Solution
    The boiling point of NH3 is higher than that of PH3. The nitrogen atom is more electronegative (3.0) than phosphorus (2.1). As a result, NH3 exhibits intermolecular hydrogen bonding while PH3 does not show any hydrogen bonding. Thus, extra energy is needed to break these hydrogen bonds in Nh3. Thus, NH3 has higher boiling point than PH3.
    Question 247
    CBSEENCH11005800

    Nitrogen and chlorine have the same electronegativity but only former shows intermolecular hydrogen bonding. Discuss.

    Solution
    Both N and Cl have the same electronegativity (3.0), but the atomic size of nitrogen is much smaller than that of chlorine. Thus, nitrogen atom polarises the covalent bond N-H much more than done by Cl atom in H-Cl bond. As a result, the only nitrogen atom is able to exhibit intermolecular hydrogen bonding.
    Question 248
    CBSEENCH11005801

    What are the types of hydrogen bonding? Give examples.

    Solution
    Two types of hydrogen bonding exist.
    i) Intermolecular hydrogen bonding.
    ii) Intramolecular hydrogen bonding.
    (i) Intermolecular hydrogen bonding: It is defined as hydrogen bonding which occurs between different molecules of the same or different substances. As a result, the molecules join together to form a long chain. For example, hydrogen fluoride molecules join through intermolecular hydrogen bonding to form long zig-zag chains.of associated molecules.

    (ii) Intramolecular hydrogen bonding: It is defined as hydrogen bonding which occurs between atoms contained in the same molecule. An intramolecular hydrogen bond results in the cyclisation of the molecules and prevents their association.
    Few examples involving intramolecular hydrogen bonding are given below:

    Question 249
    CBSEENCH11005802

    What are the conditions for the formation of intramolecular hydrogen bonding?

    Solution

    Intramolecular hydrogen bond: It is formed when a hydrogen atom is in between the two highly electronegative (F,O,N) atoms present within  the same molecules. For example, in o- nitrophenol  the hydrogen is in between the two oxygen  atoms.

    Question 250
    CBSEENCH11005803

    O-Nitrophenol is steam volatile, while p-nitrophenol is not. Explain.
    Or
    Boiling point of o-nitrophenol is less than p-nitrophenol. Explain.

    Solution
    In o-nitrophenol, intramolecular hydrogen bonding is present while intermolecular hydrogen bonding is present in the molecules of p-nitrophenol. Energy is required to overcome attractive forces in the molecules of p-nitrophenol but no such energy is needed in case of molecules in o-nitrophenol. This means that the boiling point of o-nitrophenol is less and is steam volatile while that of p-nitrophenol is more and is, therefore, non-volatile in steam.

    Question 251
    CBSEENCH11005804

    Why does ice float over water?

    Solution

    We know that in ice, each oxygen atom is surrounded by four hydrogen atoms in such a way that the two hydrogen atoms are linked to an oxygen atom by covalent bonds whereas the other two hydrogen atoms are linked by hydrogen bonds. In ice (solid state), a water molecule is associated with four other water molecules through hydrogen bonding in a tetrahedral manner.



    This gives rise to open cage-like structure which prevents the close packing of molecules (lower density). When ice absorbs heat and melts to form water, the hydrogen bonds break and close packing of water molecules takes place. Due to this close packing, the density of water is higher than that of ice and hence ice floats over water.

    Question 252
    CBSEENCH11005805

    Give reasons for the following:
    (i) Density of water is maximum at 277K (4°C).
    (ii) Why glycerol (glycerine) is more viscous than ethyl alcohol?

    Solution

    (i) Ice has a cage-like structure with large empty space between the molecules. As water is warmed from 273K (melting point of ice) onward, more and more hydrogen bonds are broken. Naturally, water molecules come closer and acquire lesser volume. Hence, density increases. But this decrease in volume is opposed by the normal tendency for expansion on heating.
    Up to 277 K: Contraction factor is more than the expansion effect, so there is a net decrease in volume or increase in density.
    Above 277K : Expansion factor (due to increase in thermal energy) becomes greater than the contraction effect (caused by breaking of hydrogen bonds), naturally, volume increases and the density decreases. Thus, the density of water is maximum at 277 K.

    (ii) This is because of the presence of three –OH groups in glycerol as compared to only one –OH group in ethyl alcohol. Hence, there are three hydrogen bonding sites in glycerol while there is only one in the case of ethyl alcohol molecule. Hence, there are greater intermolecular forces of attraction in glycerol as compared to ethyl alcohol, therefore, it is more viscous than ethyl alcohol.

    Question 253
    CBSEENCH11005806

    Explain the formation of a chemical bond.

    Solution

    The attractive force which holds various constituents (atoms,ions, etc.)together in different chemical species is called a chemical bond.
    Molecules having two identical atoms like H2 and O2 Cl2 N2 are called as homonuclear diatomic molecules.
    Molecules containing two different atoms like CO, HCl, NO, HBr etc, are called as heteronuclear diatomic molecules.

    Question 254
    CBSEENCH11005807

    Write Lewis symbols for the following atoms and ions:
    S and S2–;  Al and Al3+; H and H.

    Solution

    Lewis symbol of following atoms and ions ,
    S = 2, 8, 6
    (Z = 16)

    Question 255
    CBSEENCH11005808

    Define octet rule. Write its significance and limitations.

    Solution

    The tendency of atoms to complete eight electrons in their outer shell by interacting with other atoms through electron sharing or electrons transfer is known as the octet rule of chemical bonding.

    Significance:
    1. Octet rules able to explain chemical bonding in various compounds.
    2. Octet rules able to illustrate the various type of bonds like a covalent, electrovalent and coordinate bond.
    Limitation:
    The octet rule is not satisfied for all atoms in a compound.
    1. Compounds which have an incomplete octet of the central atoms.
    LiCl, BeH2, BCl3, AlCl3,BF3, LiBr, AlBr3.

    2.The rule failed to predict the shape and relative stability of molecules.
    3. Octet rule fails to explain why in some compounds more than eight electron is there on central atom:
    Compounds like PF5, SF6.
    4. It is based upon the inert nature of noble gases. However, some noble gases like xenon and krypton form compounds such as XeF2, KrF2 etc.

    Question 256
    CBSEENCH11005809

    Write three favourable factors for formation of ionic bond.

    Solution

    An Ionic bond is a type of chemical bond which involves the transfer of one or more electrons from one ion to another ion of opposite charges.

    Three favourable factors for the formation of ionic bond are:
    (i) Low ionisation enthalpy of the metal atom.
    (ii) High electron gain enthalpy of the non- metal atom.
    (iii) High lattice enthalpy of the compound formed.

    Question 257
    CBSEENCH11005810

    Define bond length.

    Solution
    Bond length: Bond length is defined as the equilibrium internuclear separation distance of the bonded atoms in a molecule. Each atom of the bonded pair contributes to the bond length. 

    In the case of a covalent bond, the contribution from each atom is called covalent radius of that atom.
    The bond length in a covalent molecule AB
    R = r A + r B
    where R is the bond length; rAand rB are the covalent radii of atoms A and B respectively.
    Question 258
    CBSEENCH11005811

    Explain the important aspects of resonance with reference to the CO subscript 3 superscript 2 minus end superscript space ion. space

    Solution

    In some molecules, single Lewis structure fails to explain all the characteristics of the molecules. As a result, a number of structure can be drawn to explain all the characteristics. Thus, such structure is called resonating structure.
    In CO subscript 3 superscript 2 minus end superscript space ion. space all C-O bonds are equivalent.This is possible only the different canonical structure of CO subscript 3 superscript 2 minus end superscript space ion. space undergoing resonance to give resonance hybrid.

    Question 259
    CBSEENCH11005812

    Define electronegativity. How does it differ from electron gain enthalpy?

    Solution

    Electronegativity is defined as the tendency of an element to attract the shared pair of electrons towards itself in a covalent. The is no specific units for electronegativity.It is only a relative tendency.

    Electron gain enthalpy is the energy released when one mole of the electron are added to gaseous atoms of an element. It can be negative or positive depending upon whether the electrons is added or removed. An element has a constant value of the electron gain enthalpy that can be measured experimentally.

    Question 260
    CBSEENCH11005813

    Explain with the help of suitable example polar covalent bond.

    Solution

    If two different atoms are linked to each other by a covalent bond,then the shared electron pair will not lie in the centre because the bonding atoms differ in electronegativities.Such a bond is called as polar covalent bond.For in NaCl , chlorine is more electronegative than sodium. Hence it will have more control over the shared pair of electrons & will develop a partial negative charge & sodium will acquire partial positive charge & a polar covalent bond is formed. Greater the difference in electronegativity of bonding atoms more will be the polarity of the bond.

    Question 261
    CBSEENCH11005814

    What is meant by hybridization of atomic orbitals? Describe the shapes of sp, sp2, sp3 hybrid orbitals.

    Solution

    The phenomenon of mixing of orbitals of the same atom with a slight difference in energies so to redistribute their energies and give new orbitals of equivalent energy and shape. It is called as hybridization.
    These hybrid orbitals have minimum repulsion between their electron pairs and thus, are more stable. Hybridization helps indicate the geometry of the molecule.

    Sp3 hybridisation; This type of hybridization involves the mixing of one orbital of s- sub level or three orbitals of the p-sublevel of the valence shell to form four sp3 hybrid orbitals of equivalent energies and shape. Each sp3 hybrid orbital has 25% s character and 75% p-character. These hybridised orbitals tend to lie as apart in space as possible so that repulsive interaction between them are minimum. The four sp3 hybrid orbitals are directed towards the four corners of a tetrahedron. The angle between the sp3 hybrid orbitals is 109.5.

    Sp2 hybridisation: This type of hybridization involves the mixing of one orbital of s- sublevel and two orbitals of p-sublevel of the valence shell to form three sp2 hybrid orbitals. These sp2 hybrid orbitals lie in a plane and are directed towards the corners of the equilateral triangle.
    Each sp2 hybrid orbitals has one-third s- character and two -third p- character. sp2 hybridization is also called trigonal hybridisation.

    sp-hybridisation: This type of hybridization involves the mixing of one orbital of the s-sublevel and one p-sublevel of the valence shell of the atom to form two sp- hybridised orbitals of equivalent shapes and energies. These sp hybridised orbitals are oriented in space at an angle of 180.

    Question 262
    CBSEENCH11005815

    Distinguish between a sigma (σ) bond and a pi open parentheses straight pi close parentheses bond.

    Solution
    Sigma (σ) bond  pi left parenthesis straight pi right parenthesis bond
    1. It is formed by the coaxial overlapping of two half filled atomic orbitals along the internuclear axis.  1. It is formed by the sidewise or lateral overlapping of two half filled p-orbitals perpendicular to the intranuclear axis.
    2. This bond can be formed by the overlap of s –s.s –p and p-p orbitals. 2. It involves the overlap of p-orbitals only i.e. s orbitals can not participate in the formation of straight pi the bond.
    3. Sigma bond is stronger and less reactive. 3. straight pi bond is weaker and more reactive.
    4. They have cylindrical symmetry of electron density about the bond axis. 4. Electron density is localised above and below the plane of the bond axis.
    5. Free rotation about a σ-bond is possible. 5. Rotation of bond is restricted.
    6. Sigma bonds have an independent existence. 6.straight pi -bond exist along with a σ bond.
    Question 264
    CBSEENCH11005817

    Descibe the hybridisation in case of PCl5. Why are the axial bonds longer as compared to equatorial bonds?

    Solution

    Hybridization is the phenomenon of intermixing of atomic orbitals of slightly different energies of the atoms by redistributing their energies to form a new set of orbitals of equivalent energies and identical shape.
    Atomic number of phosphorus P=15.
    Electronic configuration of P
    Ground state 1s2 2s2 3s2 3p3 3d0
    Electronic configuration of P
    excited state 1s2 2s2 3s1 3p3 3d1

    Now phosphorus has five empty shells, five Cl hybridised to form an equal set of equivalent five sp3d hybrid orbitals. These 5 sp3d orbitals are directed towards the five corners of a trigonal bipyramidal geometry.
    In PCl5, out of the five hybrid orbitals, three orbitals form a P-Cl bond in one plane making and angle (P-Cl-P) 120 with each other. This plane is represented as equatorial plane and the bonds formed are equatorial bonds. Out of the remaining two hybrid orbitals, one lie perpendicularly above and the other lie perpendicularly above and the other lie perpendicularly below the equatorial plane, making an angle 90 with the plane and forms P-Cl bonds. These two bonds are called axial bonds. Since the axial bonds suffer more repulsive interaction from the equatorial bond pairs, they are found to be slightly longer and hence, slightly weaker than the equatorial bonds.

    Question 265
    CBSEENCH11005818

    Define hydrogen bond. Is it weaker or stronger than the van der Waals forces?

    Solution

    Hydrogen bond represents a dipolar attraction between hydrogen atom & highly electronegative atom. The hydrogen bond is represented by ----------(dotted lines).
    For eg H -----------X -----------X -------- X------
    X = O,N,S,F,Cl….

    The bond pair involved in hydrogen bonding was attracted more towards highly electronegative atom, as a result H atom will start acquiring a partial positive charge(δ+) & the electronegative atom will acquire a partial negative charge(δ-).
    The magnitude of H-bonding is maximum in the solid state and minimum in the gaseous state.
    Hydrogen bonds are of two types
    (i) Intermolecular H-bond e.g., HF, H2O etc.
    (ii) Intramolecular H-bond e.g., o-nitrophenol

    Vander Waal's forces are weak forces and exist in non-polar compounds & noble gases .As compared to hydrogen bonds they are weak in nature because of strong dipole-dipole interaction in hydrogen bonding.

    Question 266
    CBSEENCH11005819

    What is meant by the term bond order? Calculate the bond order of: straight N subscript 2 comma space straight O subscript 2 comma space straight O subscript 2 superscript plus space and space straight O subscript 2 superscript minus.

    Solution

    Bond order is defined as one-half of the difference between the number of electrons present in the bonding and anti-bonding orbitals of the molecule.
    If Na is equal to the number of electron in an antibonding orbital, then
    Nb is equal to the number of electron in a bonding orbital.
    1/2(Nb-Na)

    If Nb>Na, then the molecule is said to stable. However, if Nb

     

    straight i right parenthesis space Bond space order space of space straight N subscript 2
left square bracket straight sigma 1 straight s squared space right square bracket space left square bracket straight sigma asterisk times left parenthesis 2 straight s right parenthesis right square bracket squared space left square bracket straight sigma left parenthesis 2 straight s right parenthesis right square bracket squared space left square bracket straight sigma asterisk times left parenthesis 2 straight s right parenthesis right square bracket squared space
left square bracket straight pi left parenthesis 2 straight p subscript straight y right parenthesis right square bracket squared space left square bracket straight pi 2 straight p subscript straight y right square bracket squared left square bracket straight sigma left parenthesis 2 pz right parenthesis right square bracket squared
number space of space bonding space electron space equals 10
Number space of space antibonding space electrons space equals 4
bond space order space of space nitrogen space moleules space equals 1 half left parenthesis 10 minus 4 right parenthesis
equals 3 space
    T h e r e space a r e space 16 space e l e c t r o n s space i n space straight a space d i o x y g e n
m o l e c u l e comma space 8 space f r o m space e a c h space o x y g e n space a t o m.
T h e space e l e c t r o n i c space c o n f i g u r a t i o n space o f space o x y g e n space
m o l e c u l e space c a n space w r i t t e n space a s colon
left square bracket straight sigma left parenthesis 1 straight s right parenthesis right square bracket squared left square bracket straight sigma asterisk times left parenthesis 1 straight s right parenthesis right square bracket squared left square bracket straight sigma left parenthesis 2 straight s right parenthesis right square bracket squared left square bracket straight sigma asterisk times left parenthesis 2 straight s right parenthesis right square bracket squared
left square bracket straight sigma left parenthesis 1 straight p subscript straight z right parenthesis right square bracket squared left square bracket straight pi left parenthesis 2 straight p subscript straight x right parenthesis right square bracket squared left square bracket straight pi asterisk times left parenthesis 2 straight p subscript straight x right parenthesis right square bracket to the power of 1 left square bracket left parenthesis straight pi asterisk times left parenthesis 2 straight p subscript straight y right parenthesis right square bracket to the power of 1
S i n c e space t h e space 1 straight s space o r b i t a l space o f space e a c h space o x y g e n space a t o m s space
i s space n o t space i n v o l v e d space i n space b o n d i n g comma space t h e space n u m b e r space o f space b o n d i n g
space e l e c t r o n s equals 8 equals straight N subscript straight b space a n d space t h e space n u m b e r space o f space a n t i minus b o n d i n g
space e l o e c t r o n equals 4 equals straight N subscript straight a.
equals 1 half left parenthesis straight N subscript straight b minus straight N subscript straight a right parenthesis
equals 1 half left parenthesis 8 minus 4 right parenthesis
equals 2
H e n c e comma space t h e space b o n d space o r d e r space o f space o x y g e n space m o l e c u l e space i s space 2

    There space are space 16 space electrons space in space straight a space dioxygen
molecule comma space 8 space from space each space oxygen space atom.
The space electronic space configuration space of space oxygen space
molecule space can space written space as colon
left square bracket straight sigma left parenthesis 1 straight s right parenthesis right square bracket squared left square bracket straight sigma asterisk times left parenthesis 1 straight s right parenthesis right square bracket squared left square bracket straight sigma left parenthesis 2 straight s right parenthesis right square bracket squared left square bracket straight sigma asterisk times left parenthesis 2 straight s right parenthesis right square bracket squared
left square bracket straight sigma left parenthesis 1 straight p subscript straight z right parenthesis right square bracket squared left square bracket straight pi left parenthesis 2 straight p subscript straight x right parenthesis right square bracket squared left square bracket straight pi asterisk times left parenthesis 2 straight p subscript straight y right parenthesis right square bracket squared space left square bracket left parenthesis straight pi asterisk times left parenthesis 2 straight p subscript straight y right parenthesis right square bracket to the power of 1
Since space the space 1 straight s space orbital space of space each space oxygen space atoms space
is space not space involved space in space bonding comma space the space number space of space bonding
space electrons equals 8 equals straight N subscript straight b space and space the space number space of space anti minus bonding
space eloectron equals 3 equals straight N subscript straight a.
equals 1 half left parenthesis straight N subscript straight b minus straight N subscript straight a right parenthesis
equals 1 half left parenthesis 8 minus 3 right parenthesis
equals 2.5
Hence comma space the space bond space order space of space oxygen space cation space molecule space is space 2.5

    Question 268
    CBSEENCH11008055

    The ionic radii (in Å) of N3–, O2– and F are respectively:

    • 1.36, 1.40 and 1.71

    • 1.36, 1.71 and 1.40

    • 1.71, 1.40 and 1.36

    • 1.71, 1.36 and 1.40

    Solution

    C.

    1.71, 1.40 and 1.36

    Number of electrons in N3- = 7+3 = 10
    Number of electrons in O2- = 8+2 = 10
    Number of electrons in F- = 9+1 = 10
    Since, all the three species have each 10 electrons hence they are isoelectronic species.
    It is considered that, in case of isoelectronic species as the negative charge increase, ionic radii increase and therefore the value of ionic radii are
    N3- = 1.71 (highest among the three)
    O2- = 1.40
    F- = 1.36 (lowest among the three)
    N3- > O2-> F-

    Question 269
    CBSEENCH11008070

    In which of the following pairs of molecules/ions, both the species are not likely exist?

    • straight H subscript 2 superscript plus comma space He subscript 2 superscript 2 minus end superscript
    • straight H subscript 2 superscript minus comma space He subscript 2 superscript 2 minus end superscript
    • straight H subscript 2 superscript 2 plus end superscript comma He subscript 2
    • straight H subscript 2 superscript minus comma space He subscript 2 superscript 2 plus end superscript

    Solution

    C.

    straight H subscript 2 superscript 2 plus end superscript comma He subscript 2

    species which have zero or negative bond order does not exist.

    Question 270
    CBSEENCH11008071

    Which of the following exists as covalent crystals in the solid state?

    • Iodine

    • Silicon

    • Sulphur

    • Phosphorus

    Solution

    B.

    Silicon

    D.

    Phosphorus

    Silicon (Si) – covalent solid
    Sulphur (S8) – molecular solid
    Phosphorous (P4) – Molecular solid
    Iodine (I2) – Molecular solid

    Question 271
    CBSEENCH11008075

    Stability of the species Li2, Li2 and Li2+ increases in the order of:

    • Li2 < Li2+ < Li2-

    • Li2 < Li2+ < Li2 

    • Li2< Li2 < Li2+

    •  Li2 <Li2< Li2+

    Solution

    B.

    Li2 < Li2+ < Li2 

    Li subscript 2 left parenthesis 6 right parenthesis space equals space straight sigma 1 straight s squared space straight sigma asterisk times 1 straight s squared straight sigma 2 straight s squared
straight B. straight O space equals space fraction numerator 4 minus 2 over denominator 2 end fraction space equals space 1
Li subscript 2 superscript plus space left parenthesis 5 right parenthesis space equals space straight sigma 1 straight s squared space straight sigma asterisk times 1 straight s squared straight sigma 2 straight s to the power of 1
straight B. straight O space equals space fraction numerator 3 minus 2 over denominator 2 end fraction space equals 0.5
Li subscript 2 superscript minus space left parenthesis 7 right parenthesis space space equals space space straight sigma 1 straight s squared space straight sigma asterisk times 1 straight s squared straight sigma 2 straight s squared straight sigma asterisk times 2 straight s to the power of 1
straight B. straight O space equals space fraction numerator 4 minus 3 over denominator 2 end fraction space equals space 0.5
    Li2+ is more stable than Li2 because Li2 has more numbers of antibonding electrons.
    Question 272
    CBSEENCH11008089

    In which of the following pairs the two species are not isostructural?

    • CO32- and NO3-

    • PCl+4 and SiCl4

    • PF5 and BrF5

    • AlF63- and SF6

    Solution

    C.

    PF5 and BrF5

    i) CO32- and NO3- = Triangular Planar (sp2)
    ii) PCl+4 and SiCl4  = Tetrahedral (sp3)
    iii) PF5 and BrF5   = Tetrahedral (sp3)
    iv) AlF63- and SF6 = sp3d2 hybridized, octahedral

    Question 273
    CBSEENCH11008090

    Among the following, the maximum covalent character is shown by the compound

    • FeCl2

    • SnCl2

    • AlCl3

    • MgCl2

    Solution

    C.

    AlCl3

    The covalent character in ionic compounds is governed by Fazanís Rule.
    (i) larger the charge on the ions.
    (ii) smaller the size of anions.
    (iii) larger the size of anion.
    (iv) larger the polarizing power larger the covalent character.
    AlCl3 will show Maximum covalent character on account of the higher polarising power of Al3+ because of its having higher positive charge and smaller size.

    Question 274
    CBSEENCH11008091

    The hybridization of orbitals of N atom in NO3-, NO2+ and NH4+ are respectively

    • sp, sp2,sp3

    • sp2 , sp, sp

    • sp, sp3 , sp2

    • Sp2, sp3, sp

    Solution

    B.

    sp2 , sp, sp

    NO2+
    Number of electron pairs = 2
    Number of bond pairs = 2
    Number of lone pair = 0
    So, the species is linear with sp hybridisation.
    NO3-
    Number of electron pairs = 3
    Number of bond pairs = 3
    Number of lone pair = 0
    So, the species is trigonal planar with sp2 hybridisation

    NH4+
    Number of electron pairs = 4
    Number of bond pairs = 4
    Number of lone pair = 0
    So, the species is tetrahedral with sp3 hybridisation.

    Question 275
    CBSEENCH11008115

    The group having isoelectronic species is

    • O2– , F, Na+ , Mg2+

    • O– , F, Na, Mg+

    • O2–, F, Na ,Mg2+

    • O , F, Na+ , Mg2+

    Solution

    A.

    O2– , F, Na+ , Mg2+

    ions O2-
    F Na+ Mg+2
    Atomic number 8 9 11 12
    No of electron 10 10 10 10
    Question 278
    CBSEENCH11008133

    Which one of the following constitutes a group of the isoelectronic species?

    • straight C subscript 2 superscript 2 minus end superscript comma space straight O subscript 2 superscript minus comma space CO comma space NO
    • NO to the power of plus comma space straight C subscript 2 superscript 2 minus end superscript comma CN to the power of minus comma space straight N subscript 2
    • CN to the power of minus comma space straight N subscript 2 comma space straight O subscript 2 superscript 2 minus end superscript comma space straight C subscript 2 superscript 2 minus end superscript
    • straight N subscript 2 comma space straight O subscript 2 superscript minus space comma space NO to the power of plus comma CO

    Solution

    B.

    NO to the power of plus comma space straight C subscript 2 superscript 2 minus end superscript comma CN to the power of minus comma space straight N subscript 2

    all have fourteen electrons.

    Question 279
    CBSEENCH11008134

    Which one of the following pairs of species has the same bond order?

    • CN and NO+

    • CN and CN+

    • O2 and CN

    • NO+ and CN-

    Solution

    A.

    CN and NO+

    Both are isoelectronic and have same bond order.

    Question 280
    CBSEENCH11008144

    Which of the following hydrogen bonds is the strongest?

    • O – H …… N

    • F – H …… F

    • O – H ….. O

    • O – H …… F

    Solution

    B.

    F – H …… F

    The hydrogen bond in HF is strongest, because fluorine is the most electronegative element.

    Question 288
    CBSEENCH11008172

    Which one of the following species is diamagnetic in nature?

    • He2+

    • H2

    • H2+

    • H2-

    Solution

    B.

    H2

    H2 σ1s2 σ* 1s0 , no unpaired so diamagnetic.

    Question 294
    CBSEENCH11008197

    Among Al2O3, SiO2, P2O3 and SO2 the correct order of acid strength is

    • SO2 < P2O3 < SiO2 < Al2O3

    • Al2O3 < SiO2 < P2O3 < SO2

    • Al2O3 < SiO2 < SO2 < P2O3

    • SiO2 < SO2 < Al2O3 < P2O3

    Solution

    B.

    Al2O3 < SiO2 < P2O3 < SO2

    While moving along a group from top to bottom acidic nature of oxides decreases and along a period left to right, acidic nature increases. 
    Al, Si, P, S

    Question 295
    CBSEENCH11008198

    The bond order in NO is 2.5 while that in NO+ is 3. Which of the following statements is true for these two species?

    • Bond length in NO+ is greater than in NO

    • Bond length is unpredictable

    • Bond length in NO+ in equal to that in NO

    • Bond length in NO is greater than in NO+

    Solution

    D.

    Bond length in NO is greater than in NO+

    Bond length is inversely proportional to bond -order bond order in NO+  = 3, NO = 2.5
    Thus bond length in NO> NO+

    Question 296
    CBSEENCH11008200

    The states of hybridization of boron and oxygen atoms in boric acid (H3BO3) are respectively

    • sp2 and sp2

    • sp3 and sp3

    • sp3 and sp2

    • sp2 and sp3

    Solution

    D.

    sp2 and sp3

     
    Boron has three bonds thus sp2 hybridised. Each oxygen has two lone pairs hence sp3 hybridised.
    Question 299
    CBSEENCH11008204

    The maximum number of 90° angles between bond pair of electrons is observed in

    • dsp3 hybridization

    • sp3d2 hybridization

    • dsp2 hybridization

    • sp3d hybridization

    Solution

    B.

    sp3d2 hybridization

    sp3d2 hybridisation has an octahedral structure such that four hybrid orbitals are at 90o w.r.t each other and others two at 90o with first four.

    Question 300
    CBSEENCH11008221

    According to molecular orbital theory, which of the following will not be a viable molecule?

    • H22-

    • He22+

    • He2+

    • H2-

    Solution

    A.

    H22-

    Species Bond Order
    H22- 1/2[2-2] = 0 (does not exist)
    He22+ 1/2[2-0] = 1 (Exist)
    He22- 1/2 [2-1] = 0.5 (Exist)
    H2- 1/2 [ 2-1] = 0.5 (Exist)
    Question 301
    CBSEENCH11008222

    Which of the following compounds contain(s) no covalent bond(s)?
    KCl, PH3, O2, B2H6, H2SO4

    • KCl, B2H6

    • KCl, B2H6, PH3

    • KCl, H2SO4

    • KCl

    Solution

    D.

    KCl

    KCl is an ionic compound. 

    PH3, O2, B2H6, H2SOcovalent compound.

    Question 302
    CBSEENCH11008224

    Total number of lone pair of electrons in  I3ion is

    • 12

    • 3

    • 6

    • 9

    Solution

    D.

    9

    Total number of lone pair in I3is 9.

    Question 303
    CBSEENCH11008226

    Predict the correct order among the following.

    • long pair-lone pair> bond pair-bond pair> lone pair>bond pair

    • bond pair-bond pair> lone pair-bond pair > lone pair -lone pair

    • lone pair -bond pair > bond pair- bond pair> lone pair -lone pair

    • lone pair - lone pair > lone pair-bond pair > bond pair -bond pair

    Solution

    D.

    lone pair - lone pair > lone pair-bond pair > bond pair -bond pair

    According to the VSPER theory, a lone pair occupies more space than a bond pair, Hence when lone pair-lone pair interacts with each other they repel more and thus the correct order is:
    lone pair - lone pair > lone pair-bond pair > bond pair -bond pair.

    Question 304
    CBSEENCH11008235

    Which of the following species contains an equal number of σ and Π bond? 

    • HCO3-

    • XeO4

    • (CN)2

    • CH2(CN)2

    Solution

    B.

    XeO4

    Structure

    σ and Π 

     

     σ bond -4
     Π bond-1 

     

     σ bond -4
     Π bond-4

     straight N identical to straight C minus straight C identical to straight N

     σ bond -3
     Π bond-4

     

     σ bond -6
     Π bond-4 

    Question 305
    CBSEENCH11008242

    The total number of Pi bond electrons in the following structure is

    • 4

    • 8

    • 12

    • 16

    Solution

    B.

    8

    In a given structure there are 4 -pi bonds.Hence, total number of pi electrons are 8.

    Question 306
    CBSEENCH11008243

    The pair of compounds that can exist together is 

    • FeCl3.SnCl2

    • HgCl2,SnCl2

    • FeCl2,SnCl2

    • FeCl3,KI

    Solution

    C.

    FeCl2,SnCl2

    The compounds with lower oxidation number and which cannot reduce by one another can exist together. Thus, FeCl2 and SnCl2 can exist together as Fe2+ can not be reduced by Sn2+.

    Question 307
    CBSEENCH11008244

    Which of the following molecules has the maximum dipole moment?

    • CO2

    • CH4

    • NH3

    • NF3

    Solution

    C.

    NH3

    CO2 and CH4 have zero dipole moment as these are symmetrical in nature. Between NH3 and NF3 , NF3 has greater dipole moment though in NH3 and NF3 both, N possesses one lone pair of electrons.
    This is because, in the case of NH3, the net N-H bond dipole is in the same direction as the direction of the dipole of the lone pair but in the case of NF3, the direction of the net bond dipole of three -N-F bonds is opposite the that of the dipole of the lone pair.

    Question 308
    CBSEENCH11008245

    Which one of the following species has the plane triangular shape?

    • N3

    • NO3-

    • NO2-

    • CO2

    Solution

    B.

    NO3-

    Species with sp2 hybridization are plane triangular in shape. Among the given species NO3- si sp2 hybridised with no lone pair of electrons on the central atom, N. whereas, N3, NO2- and CO2 are sp hybridised with a linear shape.

    Question 309
    CBSEENCH11008248

    Magnetic moment 2.83 BM is given by which of the following ions?

    (At. no.: Ti =22; Cr=24; Mn=25; Ni=28)

    • Ti3+

    • Ni2+

    • Cr3+

    • Mn2+

    Solution

    B.

    Ni2+

    Magnetic moment is given by
    straight mu space equals space square root of straight n left parenthesis straight n plus 2 right parenthesis end root
Here comma space straight n equals space number space of space unpaired space electrons
rightwards double arrow space 2.83 space equals space square root of straight n left parenthesis straight n plus 2 right parenthesis end root
rightwards double arrow space left parenthesis 2.83 right parenthesis squared space equals space straight n left parenthesis straight n plus 2 right parenthesis
0 equals space 8.00 space plus straight n squared space plus 2 straight n
straight n squared plus 2 straight n minus 8 space equals 0
left parenthesis straight n plus 4 right parenthesis left parenthesis straight n minus 2 right parenthesis space equals 0 space
straight n equals 2 space space straight n equals negative 4

minus 4 space not space be space consider

among space the space given space ions colon

    Hence,Ni2+ possesses a magnetic moment of 2.83 B.M

    Question 310
    CBSEENCH11008251
    Question 311
    CBSEENCH11008277

    Bond order of 1.5 is shown by

    • O2+

    • O2-

    • O22-

    • O2

    Solution

    B.

    O2-

    MO configuration of O2+ (8+8-1=15)
    straight sigma 1 straight s squared comma space straight sigma asterisk times 1 straight s squared comma space straight sigma 2 straight s squared comma straight sigma asterisk times 2 straight s squared comma straight sigma 2 straight p subscript straight z superscript 2 comma space straight pi 2 straight p subscript straight x superscript 2 almost equal to straight pi 2 straight p subscript straight y superscript 2 space comma space straight pi asterisk times 2 straight p subscript straight x superscript 1 almost equal to straight pi asterisk times 2 straight p subscript straight y superscript 0
Bond space order space space equals space fraction numerator straight N subscript straight b minus straight N subscript straight a over denominator 2 end fraction
left parenthesis where space straight N subscript straight b space equals space number space of space electrons space in space bonding space molecular space orbital
straight N subscript straight a space equals space number space of space electrons space in space anti minus bonding space molecular space orbital right parenthesis

therefore space BO space equals space fraction numerator 10 minus 5 over denominator 2 end fraction space equals space 2.5
Simiarly comma
straight b right parenthesis space straight O subscript 2 superscript minus space left parenthesis 8 plus 8 plus 1 space equals space 17 right parenthesis
so space Bond space order space equals space fraction numerator straight N subscript straight b space minus space straight N subscript straight a over denominator 2 end fraction space equals fraction numerator space 10 minus 7 over denominator 2 end fraction space equals space 1.5

straight c right parenthesis space straight O subscript 2 superscript 2 minus end superscript space left parenthesis 8 plus 8 plus 2 equals 18 right parenthesis
BO space equals space fraction numerator straight N subscript straight b minus straight N subscript straight a over denominator 2 end fraction space equals space fraction numerator 10 minus 8 over denominator 2 end fraction space equals 1

straight d right parenthesis space straight O subscript 2 space left parenthesis 8 plus 8 equals 16 right parenthesis
BO space equals space fraction numerator 10 minus 6 over denominator 2 end fraction space equals space 2
Thus space straight O subscript 2 superscript minus space shows space the space bond space order space 1.5. space

    Question 312
    CBSEENCH11008286

    Which of the following species contains three bond pairs and one lone pair around the central atoms?

    • H2O

    • BF3

    • NH2-

    • PCl3

    Solution

    D.

    PCl3


    Thus, in PCl3 the central atom P atom three bond pairs and one lone pair.
    Question 313
    CBSEENCH11008287
    Question 315
    CBSEENCH11008297

    Which of the two ions from the list given below have the geometry that is explained by the same hybridization of orbitals,
    NO subscript 2 superscript minus comma space NO subscript 3 superscript minus comma space NH subscript 2 superscript minus comma space NH subscript 4 superscript plus comma space SCN to the power of minus ?

    • NH subscript 4 superscript plus space and space NO subscript 3 superscript minus
    • SCN to the power of minus space and space NH subscript 2 superscript minus
    • NO subscript 2 superscript minus space and space NH subscript 2 superscript minus
    • NO subscript 2 superscript minus space and space NO subscript 3 superscript minus

    Solution

    D.

    NO subscript 2 superscript minus space and space NO subscript 3 superscript minus

    Hybridization of the given molecule is 
    NO subscript 2 superscript minus space rightwards arrow space sp squared
NO subscript 3 superscript minus space rightwards arrow space sp squared
NH subscript 2 superscript plus space rightwards arrow space sp cubed
NH subscript 4 superscript minus space rightwards arrow space sp cubed
SCN to the power of plus space rightwards arrow sp
    therefore, NO subscript 2 superscript minus space and space NO subscript 3 superscript minus both have the same hybridization.

    Question 316
    CBSEENCH11008299

    The Correct order of increasing bond length of C - H, C-O, C - C and C = C is


    • C - C < C=C < C - O < C - H

    • C - O < C - H < C - C < C = C

    • C - H < C - O <  C - C < C= C

    • C - H  < C = C < C - O < C - C

    Solution

    D.

    C - H  < C = C < C - O < C - C

    C - H: 0.109 nm
    C = C : 0.134 nm
    C - O: 0.143 nm
    C - C : 0.154 nm
    Therefore, Bond length order is 
    C - H < C = C < C- O < C - C 

    Question 317
    CBSEENCH11008300

    Which of the following is least likely to behave as Lewis base? 

    • NH3

    • BF3

    • OH-

    • H2O

    Solution

    B.

    BF3

    BF3 is an electron deficient species, thus behaves like a Lewis acid.

    Question 318
    CBSEENCH11008314

    Which of the following has the minimum bond length?

    • O2-

    • O22-

    • O2

    • O2+

    Solution

    D.

    O2+

    Bond space order space equals fraction numerator space straight n subscript straight b space minus straight n subscript straight a over denominator 2 end fraction
therefore space the space bond space order space of space given space molecule
Bond space order space of space straight O subscript 2 superscript space plus end superscript space equals space fraction numerator 10 minus 5 over denominator 2 end fraction space equals space 2.5

Bond space order space of space straight O subscript 2 superscript space minus end superscript space equals space fraction numerator 10 minus 7 over denominator 2 end fraction space equals space 1.5

Bond space order space of space straight O subscript 2 superscript space 2 minus end superscript space equals space fraction numerator 10 minus 8 over denominator 2 end fraction space equals space 1

Bond space order space of space straight O subscript 2 superscript space space equals space fraction numerator 10 minus 6 over denominator 2 end fraction space equals space 2
    therefore, maximum bond order = minimum bond length.
    Hence bond length is minimum for O2+
    Question 319
    CBSEENCH11008325

    Decreasing order of stability of straight O subscript 2 comma space straight O subscript 2 superscript minus comma space straight O subscript 2 superscript plus comma space and space straight O subscript 2 superscript 2 minus end superscript is

    • straight O subscript 2 superscript plus space greater than space straight O subscript 2 space greater than space straight O subscript 2 superscript minus space greater than space straight O subscript 2 superscript 2 minus end superscript
    • straight O subscript 2 superscript 2 minus end superscript space greater than space straight O subscript 2 superscript minus space greater than space straight O subscript 2 space greater than space straight O subscript 2 superscript plus
    • straight O subscript 2 space greater than straight O subscript 2 superscript plus space greater than space straight O subscript 2 superscript 2 minus end superscript space greater than thin space straight O subscript 2 superscript minus
    • straight O subscript 2 superscript minus space greater than thin space straight O subscript 2 superscript 2 minus end superscript space greater than thin space straight O subscript 2 superscript plus space greater than thin space straight O subscript 2

    Solution

    A.

    straight O subscript 2 superscript plus space greater than space straight O subscript 2 space greater than space straight O subscript 2 superscript minus space greater than space straight O subscript 2 superscript 2 minus end superscript

    order of stability directly proportional to the bond order
    therefore, the order of the stability of given species,
    stack space space with Bond space order below space space space stack straight O subscript 2 superscript plus with 2.5 below space greater than stack space straight O subscript 2 space with 2 below greater than stack space straight O subscript 2 superscript minus with 1.5 below space greater than space stack straight O subscript 2 superscript 2 minus end superscript with 1 below

    Question 320
    CBSEENCH11008340

    Which of the following structures is the most preferred and hence of lowest energy of SO3

    Solution

    D.

    Formal charges help in the selection of the lowest energy structure from a number of possible energy structure from a number of possible Lewis structures for a given species. Generally, the lowest energy structure is the one with the smallest formal charges on the atoms. 
    Formal charge on an atom: = total number of valence electrons- non - bonding electrons - 1/2 x bonding electrons.
    For lewis structure of SO3

    Formal charge on three O atoms
    equals space 6 space minus space 4 space minus 1 half straight x space 4 space equals space 0

    Question 321
    CBSEENCH11008344

    In which of the following pairs, both the species are not isostructural?

    • SiCl4.PCl4+

    • Diamond, carbide

    • NH3, PH3

    • XeF4,XeO4

    Solution

    D.

    XeF4,XeO4

    a) SiCl4.PCl4: Both are isostructural because their central atom is sp3 hybridised and both have a tetrahedral arrangement.
    b) Diamond and silicon carbide (SiC): Both are isostructural because their central atom is sp3 hybridised and both have a  tetrahedral arrangement.
    c) NH3 and PH3 have sp3 geometry.
    d) XeF4 has sp3d2 hybridizations while XeO4 has sp3 hybridizations.Hence, XeF4 and XeO4 are not isostructural.

    Question 322
    CBSEENCH11008348

    In which of the following pairs of molecules/ions, the central atoms have sp2 hybridization?

    • NO2- and NH3

    • BF3 and NO2-

    • NH2- and H2O

    • BF3 and NH2-

    Solution

    B.

    BF3 and NO2-

    (i) NO2- ⇒ 2σ + 1 lp =3, ie, sp2 hybridisation
    (ii) NH3 ⇒ 3σ + 1 lp = 4, ie, sp3 hybridisation
    (iii) BF3 ⇒ 3σ + 0 lp = 3, i.e sp2 hybridisation
    (iv) NH2- ⇒ 2σ + 2 lp = 4 i.e sp3 hybridisation
    (v) H2O ⇒ 2σ + 2 lp = 4 i.e sp3 hybridisation
    Thus, among the given pairs, only BF3 and NO2- have sp2 hybridizations.

    Question 323
    CBSEENCH11008350

    Which one of the following species does not exist under normal conditions?

    • Be2+

    • Be2

    • B2

    • Li2

    Solution

    B.

    Be2

    Molecules with zero bond order do not exist.
    a) Be2+ (4 + 4 -1 = 7) = σ1s2 σ*1s2, σ2s2, σ2s1
    BO = 4 - 3 / 2  = 0.5

    b) Be2 (4 + 4 = 8 )  = σ1s2, σ*1s2, σ2s2, σ*2s2

    BO = 4 - 4 / 2 = 0
    c) B2 = (5 + 5) = 10
    = σ1s2 , σ*1s2, 2σs2, σ*2s2, π2px1 = π2py1
    BO = 6 - 4 /2 = 1
    d) Li2 (3 + 3) = 6
    = σ1s2 , σ*1s2,σ2s2

    BO = 4 - 2 / 2 = 1
    Thus, bond order of Be2 does not exist under normal conditions.

    Question 324
    CBSEENCH11008357

    In which one of the following species the central atom has the type of hybridisation which si not the same as that present in the other three? 

    • SF4

    • I3-

    • SbCl52-

    • PCl5

    Solution

    C.

    SbCl52-

    Molecules having the same number of hybrid orbitals, have same hybridization and number of hybrid orbitals,

    straight H space equals space 1 half left square bracket space straight V space plus space straight X space minus space straight C space plus straight A right square bracket space equals space 5
where comma space straight V space equals space no. space of space valence space electrons space of space central space atom
straight X space equals space no. space of space monovalent space atoms
straight C space equals space charge space on space cation
straight A space equals space Charge space on space anion

straight a right parenthesis space In space SF subscript 4
space straight H space equals space 1 half space left square bracket space 6 plus 4 minus 0 plus 0 right square bracket space equals space 5

straight b right parenthesis space In space straight I to the power of minus subscript 3
space straight H space equals space 1 half space left square bracket space 7 space plus space 2 space plus space 1 space right square bracket

straight c right parenthesis space In space SbCl subscript 5 to the power of negative 2 end exponent space
straight H space equals space 1 half left square bracket space 5 space plus 5 plus 2 right square bracket space equals space 6

straight d right parenthesis space In space PCl subscript 5
straight H space equals space 1 half space left square bracket space 5 plus space 5 plus 0 minus 0 right square bracket space equals space 5
    Since, only SbCl52- has a different number of hybrid orbitals (i.e,6) from the other given species, its hybridization is different front the others, ie, sp3d2.

    Question 325
    CBSEENCH11008358

    The correct order of the decreasing ionic radii among the following isoelectronic species is

    • Ca2+ > K+ >S2- > Cl-

    • Cl- > S2- > Ca2+ > K+

    • S2- > Cl- > K+ > Ca2+

    • K+ > Ca2+ > Cl- > S2-

    Solution

    C.

    S2- > Cl- > K+ > Ca2+

    Ionic space radii space proportional to space charge space on space anion space proportional to space fraction numerator 1 over denominator charge space on space cation end fraction
    During the formation of a cation, the electrons are lost from the outer shell and the remaining electrons experience a great force of attraction by the nucleus, ie, attracted more towards the nucleus. In other words, nucleus holds the remaining electrons more tightly and result in decreased radii.
    However, in the case of anion formation, the addition of an electron (s) takes place in the same outer shell, thus the hold of the nucleus on the electrons of outer shell decreases and this result in increased ionic radii.

    Thus, the correct order of ionic radii is 
    S2- > Cl- > K+ > Ca2+
    Question 326
    CBSEENCH11008374

    In which of the following molecules the central atom does not have sp3 hybridisation?

    • CH4

    • SF4

    • BF4-

    • NH4+

    Solution

    B.

    SF4

    When the number of hybrid orbitals, H  is 4, the hybridization is sp3 hybridization
    straight H space equals space 1 half left square bracket space straight V space plus space straight M space minus space straight C space plus space straight A right square bracket
where comma space straight V space equals space number space of space monovalent space atoms
straight C space equals space total space positive space charge
straight A space equals space negative space charge

straight a right parenthesis space For space CH subscript 4
straight H space equals space 1 half left square bracket space 4 space plus space 4 space minus 0 space plus space 0 right square bracket space equals space 4 space
sp cubed

straight b right parenthesis space space For space SF subscript 4 comma end subscript
straight H space equals space 1 half left square bracket space 6 plus 4 minus 0 plus 0 right square bracket space equals space 5 space
sp cubed straight d

straight c right parenthesis space For space BF subscript 4 superscript minus comma
straight H space equals space 1 half left square bracket space 3 plus space 4 minus 0 plus 1 right square bracket space equals space 4 comma space thus space sp cubed

straight d right parenthesis space For space NH subscript 4 superscript plus
straight H space equals space 1 half left square bracket 5 plus 4 minus 1 plus 0 right square bracket space equals space 4 space thus space sp cubed
    Thus, only in SF4 the central atom does not have sp3 hybridisation.

    Question 328
    CBSEENCH11008388

    According to MO theory which of the following lists ranks the nitrogen species in terms of increasing bond order?

    • straight N subscript 2 superscript minus space less than space straight N subscript 2 space less than space straight N subscript 2 superscript 2 minus end superscript
    • straight N subscript 2 superscript 2 minus end superscript less than space straight N subscript 2 superscript minus space less than space straight N subscript 2
    • straight N subscript 2 space less than space straight N subscript 2 superscript 2 minus end superscript space less than straight N subscript 2 superscript minus
    • straight N subscript 2 superscript minus space less than thin space straight N subscript 2 superscript 2 minus end superscript space less than thin space straight N subscript 2

    Solution

    A.

    straight N subscript 2 superscript minus space less than space straight N subscript 2 space less than space straight N subscript 2 superscript 2 minus end superscript

    Bond Order = fraction numerator straight N subscript straight b minus straight N subscript straight a over denominator 2 end fraction
    Where
    Nb = number of electrons in bonding MO
    Na = number of electrons in antibonding MO

    straight N subscript 2 space left parenthesis space 7 plus 7 space equals space 14 right parenthesis space equals space straight sigma 1 straight s squared comma space straight sigma asterisk times 1 straight s squared comma straight sigma 2 straight s squared comma space straight sigma asterisk times 2 straight s squared comma space straight pi 2 straight p subscript straight x squared almost equal to straight pi 2 straight p subscript straight y squared comma straight sigma 2 straight p subscript straight z squared

BO space equals space fraction numerator 10 minus 4 over denominator 2 end fraction space equals space 3

straight N subscript 2 superscript minus space left parenthesis 7 plus 7 plus 1 space equals space 15 right parenthesis
equals space straight sigma 1 straight s squared comma space straight sigma asterisk times 1 straight s squared comma straight sigma 2 straight s squared comma space straight sigma asterisk times 2 straight s squared comma space straight pi 2 straight p subscript straight x squared almost equal to straight pi 2 straight p subscript straight y squared comma straight pi asterisk times 2 straight p subscript straight x to the power of 1

BO space equals space fraction numerator 10 minus 5 over denominator 2 end fraction space equals space 2.5
straight N subscript 2 superscript 2 minus end superscript space left parenthesis space 7 plus 7 plus 2 space equals space 16 right parenthesis
equals space straight sigma 1 straight s squared comma space straight sigma asterisk times 1 straight s squared comma straight sigma 2 straight s squared comma space straight sigma asterisk times 2 straight s squared space σp subscript straight z squared comma space straight pi 2 straight p subscript straight x squared almost equal to straight pi 2 straight p subscript straight y squared comma straight sigma 2 straight p subscript straight x to the power of 1 space almost equal to straight pi asterisk times 2 straight p subscript straight y to the power of 1
BO space equals space fraction numerator 10 minus 6 over denominator 2 end fraction space equals space 2
Hence space comma space the space increasing space order space of space straight B. straight O space is comma
straight N subscript 2 superscript 2 minus end superscript space less than space straight N subscript 2 superscript minus space less than straight N subscript 2

    Question 329
    CBSEENCH11008389

    The state of hybridization of C2, C3, C5 and C6 of the hydrocarbon,


    is in the following sequence

    • sp, sp3, sp2 and sp3

    • sp3, sp2, sp2 and sp

    • sp,sp2,sp2 and sp3

    • sp, sp2, sp3 and sp2

    Solution

    A.

    sp, sp3, sp2 and sp3

    Count a number of sigma bond (σ) and then find hybridization as follows.
    If number of σ bonds = 2; hybridization is sp,
    If number of σ bonds = 3; hybridization is sp2
    if the number of σ bonds = 4; hybridization is sp3


    Double and triple bond is not considered while finding hybridization.
    Question 330
    CBSEENCH11008391

    In which of the following molecules/ions BF3, NO2-, NH2- and H2O, the central atom is sp2 hybridised?

    • NO2- and NH2-

    • NH2- and H2O

    • NO2- and H2O

    • BF3 and NO2-

    Solution

    D.

    BF3 and NO2-

    For sp2 hybridization, there must be either 3 sigma bonds or two sigma bonds and one lone pair of electrons in the molecules or ions.
    In BF3 molecule, a number of sigma bond is 3 ie, sp2 hybridization.
     In NO2- molecule, the number of sigma bond is 2 and the number of lone pairs is 2 ie, sp3 hybridization.
    In NH2-molecule, the number of sigma bond is 2 and the number of lone pairs is 2 ie, sphybridization.
    In H2O molecule, the number of sigma bond is 2 and number of the lone pair are 2 ie, sp3 hybridization.
    Thus, in BF3 and NO2- central atom is sp2 hybridised.

    Question 331
    CBSEENCH11008397

    The angular shape of ozone molecule (O3) consists of 

    • 1 sigma and 2 pi bonds

    • 2 sigma and 2 pi bonds

    • 1 sigma and 1 pi bonds

    • 2 sigma and 1 pi bonds

    Solution

    D.

    2 sigma and 1 pi bonds

    Single bond contains = 1 σ bond
    Double bond contains = 1 σ bond + 1 π bond
    Triple bond contains = 1σ  bond + 2 π bond
    The molecule of O3 is bent with an angle of 116.8o and equal O-O distance of 128 pm. The ozone molecule consists of 2 sigma bond and 1 pi bond.

    Question 332
    CBSEENCH11008412

    The correct order of increasing bond angles in the following triatomic species is 

    • NO subscript 2 superscript minus space less than thin space NO subscript 2 superscript plus space thin space less than space NO subscript 2
    • NO subscript 2 superscript minus space less than thin space NO subscript 2 space less than thin space NO subscript 2 superscript plus
    • NO subscript 2 superscript plus space less than thin space NO subscript 2 space less than thin space NO subscript 2 superscript minus
    • NO subscript 2 superscript plus space less than thin space NO subscript 2 superscript minus space less than thin space NO subscript 2

    Solution

    B.

    NO subscript 2 superscript minus space less than thin space NO subscript 2 space less than thin space NO subscript 2 superscript plus

    As the number of lone pair of electrons increases, bond angle decreases. NO2+ ion is isoelectronic with the CO2 molecule. It is a linear ion and its central atom (N+) undergoes sp-hybridisation, hence bond angle is 180o.
    In NO2- ion, N -atom undergoes sp2 hybridisation. The angle between hybrid orbital should be 120o but one lone pair of electrons is lying on N- atom, hence bond angle decreases to 115o.
    In NO2 molecule, N -atom has one unpaired electron in a sp2-hybrid orbital. The bond angle should be 120o but actually, it is 132o. It may be due to one unpaired electron in a sp2-hybrid orbital.
    Therefore, the increasing order of bond angles.
    stack NO subscript 2 superscript minus space with 115 to the power of 0 below less than space stack NO subscript 2 with 132 to the power of 0 below space less than space stack NO subscript 2 superscript plus with 180 to the power of 0 below

    Question 335
    CBSEENCH11008419

    In the hydrocarbon

    straight C with 6 below straight H subscript 3 space minus straight C with 5 below straight H equals straight C with 4 below straight H minus straight C with 3 below straight H subscript 2 minus straight C with 2 below identical to straight C with 1 below straight H

    The state of hybridization of carbon 1, 3, and 5 are in the following sequence

    • sp2, sp, sp3

    • sp, sp3, sp2

    • sp, sp2, sp3

    • sp3, sp2, sp

    Solution

    B.

    sp, sp3, sp2

    negative straight C minus straight C minus sp cubed
minus straight C equals straight C minus sp squared
minus straight C space identical to space straight C minus space sp
equals straight C equals straight C equals sp

straight H subscript 3 straight C with 6 below and sp cubed on top space minus space straight C with 5 below and sp squared on top straight H space equals straight C with 4 below and sp squared on top straight H space minus space straight C with 3 below and sp cubed on top straight H subscript 2 minus straight C with 2 below and sp on top identical to straight C with 1 below and sp on top straight H
    Hence the state of hybridization of carbon 1,3 and 5 are sp, sp3, sp2 respectively.
    Question 336
    CBSEENCH11008426

    The correct order of C-O bond length among CO, CO32-, CO2 is,

    • CO2<  CO32-<  CO

    • CO <  CO32-<  CO2

    • CO32- <CO2 <CO

    • CO < CO2 < CO32-

    Solution

    B.

    CO <  CO32-<  CO2

    The bond length is the average distance between the centres of nuclei of two bonded atoms. Centres of nuclei of two bonded atoms. A multiple bonds (double or triple bond) is always shorter than the corresponding single bond. 
    The C- atom is CO32- is sp2 hybridised as shown

    The C- atom is CO2 is sp hybridised with a bond distance of carbon -oxygen is 122 pm.
    straight O equals straight C equals straight O space left right arrow space to the power of plus straight O space identical to space straight C minus straight O to the power of minus space left right arrow space straight O to the power of minus minus straight C identical to straight O to the power of plus
    The C- atom in CO is sp hybridised with C-O bond distance is 110 pm:
    So the correct order is 
    CO <  CO32-<  CO2

    Question 337
    CBSEENCH11008435

    In which of the following pairs, the two species are isostructural?

    • SF4 and XeF4

    • SO32- and NO3-

    • BF3 and NF3

    • BrO3- and XeO3

    Solution

    D.

    BrO3- and XeO3

    a) SF4 = irregular tetrahedron (sp3d, one lone pair)
    XeF4 = square planar (sp3d2, two lone pairs)
    b) SO32- = pyramidal (sp3 one lone pair)
    NO3- = trigonal  planar (sp2)
    c) BF3 = trigonal planar (sp2)
    NF3 = pyramidal (sp3)
    d) BrO3- = pyramidal (sp3, one lone pair)
    XeO3 = pyramidal (sp3, one lone pair)

    Question 338
    CBSEENCH11008445

    In which of the following molecules are all the bonds not equal? 

    • ClF3

    • BF3

    • AlF3

    • NF3

    Solution

    A.

    ClF3

    In ClF3 all bonds are not equal due to trigonal -bipyramidal (sp3d-hybridisation) geometry of ClF3 molecule.

    BF3 and AlF3 show trigonal symmetric structure due to sp2-hybridisation.

    NF3 shows pyramidal geometry due to sp3 hybridization.

    Question 339
    CBSEENCH11008450

    Which of the following is not isostructural with SiCl4?

    • SCl4


    • SO42-
    • PO43- 

    • NH4+ 

    Solution

    A.

    SCl4

    SCl4 is not isostructural of SiCl4 because it shows square planar structure due to the involvement of repulsion between lone pair and bond pair of electrons. 
    SO42- shows tetrahedral structural due to sp3 hybridization
    PO43- shows tetrahedral structural due to sp3 hybridization
    NH4+ shows tetrahedral structural due to sp3 hybridisation

    Question 340
    CBSEENCH11008452

    With respect to the conformers of ethane, which of the following statements is true?

    • Bond angle remains same but bond length changes

    • Bond angle changes but bond length remains same

    • Both bond angle and bond length change

    • Both bond angles and bond length remains same

    Solution

    D.

    Both bond angles and bond length remains same

    There is no change in bond angles and bond lengths in the conformations of ethane. There is only change in dihedral angle.

    Question 341
    CBSEENCH11008453

    Which of the following pairs of compounds is isoelectronic and isostructural?

    • BeCl2, XeF2

    • Tel2, XeF2

    • IBr2- , XeF 

    • IF3, XeF2

    Solution

    C.

    IBr2- , XeF 

    IBr2, XeF2
    The total number of valence electrons are equal in both the species and both the species are linear also.

    Question 343
    CBSEENCH11008481

    Which of the following is least soluble in water?

    • C2H6

    • CH3OH

    • CH3NH2

    • C6H5OH

    Solution

    A.

    C2H6

    C2H6 is non-polar compound and other compounds are polar in nature. Hence, it is least soluble in water.

    Question 344
    CBSEENCH11008483

    Among the following compounds, which compound is polar as well as exhibit sp2-hybridisation by the central atom.

    • H2CO3

    • SiF4

    • BF4

    • HClO3

    Solution

    A.

    H2CO3

    SiF4 and HClO3 have sp3 - hybridisation.

    BF3 and H2CO3 have sp2 - hybridisation but BF3 is non-polar.

    Therefore, the Correct answer is H2CO3 

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