Chemistry Part I Chapter 1 Some Basic Concepts Of Chemistry
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    NCERT Solution For Class 11 Physical+education Chemistry Part I

    Some Basic Concepts Of Chemistry Here is the CBSE Physical+education Chapter 1 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 Physical+education Some Basic Concepts Of Chemistry Chapter 1 NCERT Solutions for Class 11 Physical+education Some Basic Concepts Of Chemistry Chapter 1 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 Physical+education.

    Question 1
    CBSEENCH11004886

    Define the term significant figures.

    Solution

    Significant figures are meaningful digits which are known with certainty. 

    Question 2
    CBSEENCH11004887
    Question 3
    CBSEENCH11004888
    Question 5
    CBSEENCH11004890

    What is the result of (5.472 - 1.12) to the appropriate number of signficant figures?

    Solution

    The actual difference is 4.352. The reported difference should be only upto two decimal places after rounding 

    Question 6
    CBSEENCH11004891

    Express 0.0468 in scientific notation.

    Solution
    4·68 × 10-2
    Question 7
    CBSEENCH11004892

    What does SI units stand for?

    Solution

    It stands for System International units.

    Question 8
    CBSEENCH11004893

    What is the relation between temperature in Kelvin (K) and temperature on centigrade scale?

    Solution

    Temp. on Kelvin (K) = Temp. on centrigrade scale  (T°C) + 273.

    Question 9
    CBSEENCH11004894
    Question 10
    CBSEENCH11004895

    The popular unit of pressure is atmosphere, how is it related to pascal?

    Solution

    1 atmosphere pressure = 101·324 k Pa

     
    Question 11
    CBSEENCH11004896

    What are SI units of the following:

    (i) Density    
    (ii) Molarity          
    (iii) Energy    
    (iv) Temperature ?

    Solution

    (i) kg m-3
       
     
    (ii) mol m-3
           
    (iii) kg m2 s-2    
    (iv)  Kelvin

    Question 12
    CBSEENCH11004897

    Out of 5.00 g and 5.0 g which one is more accurate and why?

    Solution
    5·00 is more accurate than 5·0 because the 5.00 has been reported upto three significant figures while the latter is only upto two significant figures.
    Question 13
    CBSEENCH11004898

    What is iodised table salt?

    Solution

    It is a mixture of NaCl and Nal.

    Question 14
    CBSEENCH11004899

    Under what conditions air is considered as a heterogenous mixture?

    Solution
    Air is considered as a heterogenous mixture when dust particles are also taken into consideration.
    Question 15
    CBSEENCH11004900

    What is gun powder?

    Solution

    It is a mixture of sulfur, charcoal and potassium nitrate(salt peter). The sulgur and charcoal act as fuels, and the saltpeter is an oxidizer.

    Question 16
    CBSEENCH11004901

    Name two elements which are liquids.

    Solution

    Mercury and bromine are liquid.

    Question 17
    CBSEENCH11004902

    Name two elements which are gases.

    Solution

    Hydrogen and oxygen are gases elements.

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    Question 18
    CBSEENCH11004903

    Name the scientist who proposed the law of multiple proportions.

    Solution
    John Dalton, proposed the law of multiple proportions.
    Question 19
    CBSEENCH11004904

    Is there any exception to the law of constant composition?

    Solution

    In case of isotopic compounds, the law does not hold good; for example, 233UFand 238UF6·

    Question 20
    CBSEENCH11004905

    Why is Gay Lussac's law of combining volumes not obeyed if any rectant or product is not a gas?

    Solution

    If any reactant or product is a liquid, the volume occupied by a liquid is extremely small and hence the law is not obeyed.

    Question 21
    CBSEENCH11004906

    Oxides of carbon illustrate which law of chemical combination?

    Solution

    Law of multiple proportions.

    Question 22
    CBSEENCH11004907

    Name three elements which make up more than 90 percent of the human body.

    Solution

    Oxygen is about 60 - 70%,
    carbon just below 20% and
    hydrogen about 10%

    These three element make up more than 90 percent of the human body.

    Question 25
    CBSEENCH11004910

    What is atomicity of an element?

    Solution
    Atomicity of an element is the number of atoms contained in one molecule of it.
    Question 26
    CBSEENCH11004911

    Why atomic masses are the average values?

    Solution
    Most of the elements exist in diferent isotopes i.e. atoms with different masses e.g. Cl has two isotopes with mass numbers 35 and 37 existing in the ratio 3:1. Hence average value is taken.
    Question 27
    CBSEENCH11004912

    What is the relation between molecular weight and vapour density?

    Solution

    Relation between molecular weight and vapour density is,
    Molecular weight  = 2 x vapour density.

    Question 28
    CBSEENCH11004913

    What is Avogadro's number?

    Solution

    The number 6·023×1023 is called Avogadro’s number (NA).

    Question 29
    CBSEENCH11004914

    What is the relation between gram molecular weight and volume of a gas?

    Solution

    22.4 litre of a gas at NTP weighs equal or its gram molecular weight.

    Question 30
    CBSEENCH11004915

    What is SI unit of mole?

    Solution

    The mole is a base unit of the International System of Units (SI). Unit of mole is mol.

    Question 31
    CBSEENCH11004916

    What is G.M.V.?

    Solution
    Volume occupied by one gram molecular mass or one mole of a gas under standard conditions (273 K and 760 mm pressure) is called gram molecular volume (G.M.V). Its value is 22·4 litres for each gas.
    Question 32
    CBSEENCH11004917

    What is gram atom?

    Solution

    It is the quantity in grams which is numerically equal to the atomic mass of an element on a.m.u. scale.

    Question 33
    CBSEENCH11004918

    What is a.m.u.?

    Solution

    One atomic mass unit is defined as a mass exactly equal to one twelfth the mass of one carbon - 12 atom.
    1 amu = 1.66056×10–24 g

     

    Question 35
    CBSEENCH11004920

    How many moles of helium gas occupy 22.4 litres at 0°C and 1 atmosphere?

    Solution

    One mole of helium at 0°C and 1 atmosphere occupies 22·4 litres.

    Question 36
    CBSEENCH11004921

    How will you convert 370 celsius  into Fahrenheit.

    Solution

    Conversion of celsius into Fahrenheit,
    straight F presuperscript degree space equals 9 over 5 left parenthesis straight C presuperscript degree right parenthesis space plus 32

straight F presuperscript degree space equals 9 over 5 left parenthesis 37 right parenthesis space plus 32 space equals space 98.6 to the power of 0 straight F

    Question 38
    CBSEENCH11004923
    Question 39
    CBSEENCH11004924

    Sponsor Area

    Question 40
    CBSEENCH11004925

    27 g of Al will react completely with, how many grams of oxygen?

    Solution

    The balanced equation for the given reaction is:

    4 Al+ 3 O2 --------> 2Al2O3

    Atomic mass of Al = 27g

    Atomic mass of O2 = 2 × 16 = 32g

    Mole ratio of aluminium and oxygen can be given as:

    Al    :  O2

    4     :   3

    1    :  3/4

    Mass of O2 required = 3/4 × 32 =24g

    Question 41
    CBSEENCH11004926

    The vapour density of a gas A is four times that of B. If the molecular mass of B is M what is the molecular mass of A?

    Solution

    According to the relationship:
    Mass=2 x Vapour density
    we have give mass of B is M, thus Vapour density of B is,
    V.D.=straight M over 2
    also, given A is four times that of B, then
    therefore space space space space straight V. straight D. space space of space space straight A space equals space 4 space cross times space straight V. straight D. space of space straight B space equals space 4 space cross times space straight M over 2 space equals space 2 straight M
therefore space space space space Molecular space mass space of space straight A space equals space 2 space straight X space 2 straight M space equals space 4 straight M right square bracket

    Question 42
    CBSEENCH11004927

    Give the empirical formula of benzene and glucose.

    Solution

    Benzene = (C6H6); Glucose = C6H12O6

    Question 43
    CBSEENCH11004928

    How are empricial and molecular formulae related to each other?

    Solution

    Molecular formula = n (Empricial formula)
    where straight n space equals space fraction numerator Molecular space mass over denominator Empirical space formula space mass end fraction

    Question 44
    CBSEENCH11004929

    In a certain compound, the percentage of an element (At. mass 12) is 92.3. What is its mole ratio?

    Solution

    We have given,
    mass of element =12g
    open square brackets Mole space ratio space equals space fraction numerator Percentage space composition over denominator Atomic space mass end fraction close square brackets
    Thus, mole ratio is
    92.3/12 =7.69

    Question 45
    CBSEENCH11004930

    Two elements A (At. wt. 75) and B (At. wt. 16) combine to give a compound having 75·8%A. Calculate the relative number of atoms present in B.

    Solution

    As, we have given the relative number of A =75.8%
    open square brackets Percentage space of space straight A space equals space 75.8 close square brackets.
therefore space space space space Percentage space of space straight B space equals space 100 minus space 75.8 space space equals space 24.2
Relative space number space of space atoms space in space straight B
space space space space space space equals space fraction numerator percent sign space age space composition over denominator Atomic space mass end fraction space equals space fraction numerator 24.2 over denominator 16 end fraction space equals space 1.5
    Hence, the relative number of B = 1.5%

    Question 48
    CBSEENCH11004933

    A substance has empirical formula CH2O, its vapour density is 30. What is its molecular formula?

    Solution

    Empricial formula mass of CH2O
                                  space equals space 12 plus 2 space cross times 1 space plus 16 space equals space 30
    Molecular space mass space equals space 2 space cross times space straight V. straight D. space equals space 2 space cross times space 30 space equals space 60
therefore space space space space straight n space equals space fraction numerator Molecular space mass over denominator Empirical space formula space mass end fraction space equals space 60 over 30 space equals space 2
therefore space space space Moleuclar space formula space equals space 2 space cross times space CH subscript 2 straight O space equals space straight C subscript 2 straight H subscript 4 straight O subscript 2

    Question 50
    CBSEENCH11004935

    What is stoichiometry?

    Solution

    The word ‘stoichiometry’ is derived from two Greek words - stoicheion (meaning element) and metron (meaning measure). Stoichiometry, thus, deals with the calculation of masses (sometimes volumes also) of the reactants and the products involved in a chemical reaction.

     

     

    Question 51
    CBSEENCH11004936

    From where the word stoichometry has been derived?

    Solution

    The word ‘stoichiometry’ is derived from two Greek words - stoicheion (meaning element) and metron (meaning measure).

    Question 52
    CBSEENCH11004937

    What do you understand by limiting reactant?

    Solution

     

    When in reaction, one rectant is in excess over the other. The reactant which is present in the lesser amount gets consumed after  sometimes and after no further reaction takes place whatever be the amount of the other reactant present. Hence, the reactant which gets consumed, limits the amount of product formed and, therefore, called the liminting reagent.

    Question 53
    CBSEENCH11004938

    Define molality (m).

    Solution
    Molality of a solution is defined as the number of moles of solute dissolved per kg of solvent.
    Molality left parenthesis straight m right parenthesis space equals space fraction numerator No. space of space moles space of space solute over denominator Mass space of space solvent space left parenthesis in space grams right parenthesis end fraction cross times space 1000
    Question 54
    CBSEENCH11004939

    What is the S.I. unit of molarity?

    Solution

    The SI unit of molarity si mol L-1

    Question 55
    CBSEENCH11004940

    What do you mean by significant figures?
    Or
    What do you know about significant figures? What are the rules for determing the number of significant figures?

    Solution

    Significant figures. The total number of digits (including the last one, though its value is doubtful) in the number used to express the physical quantity is called the number of significant figures. For example, the reading 24 · 84 cm having three certain digits (2, 4 and 8) and one doubtful digit (4) has four significant figures.
    Rules for determining the number of significant figures:
    1. Except zero, all the digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 are significant. For example,
    4·25 has three significant figures.
    71·435 has five significant figures.

    2. All digits are significant including zeros if zero appears in between non-zero digits, e.g.,
    4·02 has three significant figures.
    4·005 has four significant figures.
    6·0042 has five significant figures.
    3. Zeros to the left of the first non-zero digit in a number are not significant, they merely indicate the positions of the decimal point. e.g.,
    0·428 has three significant figures.
    0·054 has two significant figures.
    0·0006 has one significant figure.

    4. Zeros to the right of the decimal point are significant. e.g.,
    42·0 has three significant figures.
    42·00 has four significant figures.
    42·000 has five significant figures.

    5. In exponential notation, the numerical portion gives the number of significant figures. e.g.,
    1·58 × 10–1 has three significant figures.
    4·243 × 105 has four significant figures.
    3·24 × 107 has three significant figures.

    Question 56
    CBSEENCH11004941

    What do you understand by ‘rounding off’?

    Solution

    The rules for rounding off the non significant figures in the measurements are as under:
    1. If the digit following the last digit to be retained is less than 5, the last digit is left unchanged. For example,
    4·22 is rounded off to 4·2
    4·14 is rounded off to 4·1
    4·34 is rounded off to 4·3
    2. If the last digit happens to be five (as in 4·335), then a digit before five is checked whether it is odd or even.
    If it is odd, then it is increased by one. e.g.
    4·335 is rounded off to 4·34
    15·275 is rounded off to 15·28
    If the digit before five is even, then it is retained as such. e.g.,
    14·145 is rounded off to 14·14
    6·225 is rounded off to 6·22
    0·085 is rounded off to 0·08
    3. If the last digit is greater than 5, the last-digit to be retained is increased by one. e.g.,
    2·26 is rounded off to 2·3
    4·68 is rounded off to 4·7
    16·59 is rounded off to 16·6

    Question 57
    CBSEENCH11004942

    Express the following in scientific notation:
    0·0048 

    Solution
    4·8 × 10–3 
    Question 58
    CBSEENCH11004943
    Question 59
    CBSEENCH11004944

    Express the following in scientific notation:
    8008

    Solution
    8·008 × 103
    Question 60
    CBSEENCH11004945

    Express the following in scientific notation:
    500.0

    Solution
    5·000 × 102
    Question 61
    CBSEENCH11004946

    Express the following in scientific notation:
    6.0012

    Solution
    6·0012 =6.0012
    Question 62
    CBSEENCH11004947

    State the number of significant figures in each of the following numbers:
    2·653 × 104 

    Solution
    2·653×104 has four significant figures because in exponential notation, the numerical portion gives the number of significant figures.
    Question 63
    CBSEENCH11004948

    State the number of significant figures in each of the following numbers:
    0.00368

    Solution
    0·00368 has three significant figures because zeros to the left of the first non-zero digit are not significant.
    Question 64
    CBSEENCH11004949

    State the number of significant figures in each of the following numbers:
    653

    Solution
    653 has three significant figures.
    Question 65
    CBSEENCH11004950

    State the number of significant figures in each of the following numbers:
    0.368

    Solution

    0.368 has three significant figures because zeros to the left of the first non-zero digit are not significant.

    Question 66
    CBSEENCH11004951

    State the number of significant figures in the following number:
    0.0300

    Solution
    0·0300 has three significant figures because zeros at the end of a number but to the right of the decimal pooint are significant.
    Question 67
    CBSEENCH11004952

    How many significant figures are present in the following?
    0.0025

    Solution
    0·0025 has two significant figures because zeros to the left of the first non-zero digit are not significant.
    Question 68
    CBSEENCH11004953

    How many significant figures are present in the following?
    208

    Solution
    208 has three significant figures.
    Question 69
    CBSEENCH11004954

    How many significant figures are present in the following?
    5005

    Solution
    5005 has four significant figures.
    Question 70
    CBSEENCH11004955

    How many significant figures are present in the following?
    126,000

    Solution
    126,000 = 1·26 × 105 has three significant figures.
    Question 71
    CBSEENCH11004956

    How many significant figures are present in the following?
    500.0

    Solution
    500·0 has four significant figures because zero to the right of the decimal point is significant.
    Question 72
    CBSEENCH11004957

    How many significant figures are present in the following?
    2.0034

    Solution
    2·0034 has five significant figures because zero between two non-zero digits are always significant.
    Question 73
    CBSEENCH11004958
    Question 75
    CBSEENCH11004960
    Question 76
    CBSEENCH11004961
    Question 77
    CBSEENCH11004962

    Express the following numbers to four significant figures:
    5.607892

    Solution
    The four significant figures:
    5·608
    Question 78
    CBSEENCH11004963

    Express the following numbers to four significant figures:

    32.392800

    Solution
    The four significant figures:
    32·39
    Question 79
    CBSEENCH11004964

    Express the following numbers to four significant figures:
    1·78986 × 103

    Solution
    The four significant figure:
    1·790 × 103

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    Question 80
    CBSEENCH11004965

    Express the following numbers to four significant figures:

    0·007837

    Solution
    0·007837 (zero to the left of the fist non zero digit in a number are not significant)
    Question 81
    CBSEENCH11004966

    What are the rules for determining the number of significant figures in answers involving:
    (i) addition or subtraction
    (ii) multiplication or division
    (iii) calculations involving a number of steps?

    Solution

    (i) Addition or subtraction. While carrying out addition or subtraction of a number of terms, the result should be reported to the same number of decimal places as that of the term with the least number of decimal places.
    (a) Addition of number. Ex. 3·5 g of NaCl and 4·23 g of KCI were dissolved in 25·001 g of water. What is the properly reported mass of solution?
    Sol.  +3·5 (this is the term with the least number of decimal place)
                               + 4.23
                               + 25.001
                               _______
    Actual sum     = 32.731 g
    The respected sum should be only one decimal place after rounding off.
    ∴  Correct mass of the solution = 32·7 g
    (b) Subtraction of number. Ex. Express the result of the following observations to the appropriate number of significant figures: 12·87 – 0·0107.
    Sol.  12·87 (this is the term with the least number of decimal place)
          -0.0107
          ________
    Actual difference = 12.8693
    The reported difference should be only upto two decimal places after rounding off.
    ∴  Reported difference = 12·87
    (ii) Multiplication or division. While carrying out multiplication or division, the number of significant figures in the final result should not exceed the number of significant figures in the least precise factor.

    (a) Multiplication of number
    Ex. Complete the result of the following calculation to the appropriate number of significant figures:
    87·4 × 0·00457
    Sol. 87·4 × 0·00457 = 0·399418
    As the number of significant figures in the least precise factor is three, therefore the reported result after rounding off is 0·399.

    (b) Division of number.
    Ex. Express the result of the following calculation to the appropriate number of significant figures:
                      fraction numerator 0.46 over denominator 15.734 end fraction
    Sol.            fraction numerator 0.46 over denominator 15.734 end fraction space equals 0.029236
    As the number of significant figures in the least precise factor is two (viz 0·46), therefore the reported result after rounding off is 0·029 (containing only two significant figures).
    (iii) Calculations involing a number of steps: If a calculation involves a number of steps, the result should contain the same number of significant figures as that of the least precise number involved other than the exact numbers.

    Question 82
    CBSEENCH11004967

    Compute the following keeping in view the proper number of significant figures:

    fraction numerator 52.874 space cross times space 0.03482 over denominator 0.24 space cross times 8 end fraction

    Solution
    fraction numerator 52.874 space cross times space 0.03482 over denominator 0.24 space cross times 8 end fraction space equals space 0.958892 space left parenthesis Actual space result right parenthesis
    Leaving the exact number 8, the least precise term has two significant figures. Therefore, the reported result after rounding off is 0·96 (containing only two significant figures).
    Question 83
    CBSEENCH11004968

    Express the result of the following calculations to the appropriate number of siginficant figures:

    fraction numerator 3.24 space cross times space 0.08666 over denominator 5.006 end fraction

    Solution
    fraction numerator 3.24 space cross times 0.08666 over denominator 5.006 end fraction space equals space 0.0560833 space left parenthesis Actual space result right parenthesis
    As the number of significant-figures in the least precise factor is three (viz 3.24), therefore, the reported result after rounding off is 0·0561 (containing only three significant figures).
    Question 84
    CBSEENCH11004969

    Express the result of the following calculations to the appropriate number of siginficant figures:

    0.58 plus 324.65

    Solution

    0·58 + 325·65 = 324·23 (Actual result)
    While carrying out addition of a number of terms, the result should be reported to the same number of decimal places as that of the term with the least number of decimal places. In the present case, both the given numbers have two decimal places, therefore, the reported sum should be only two decimal places after rounding off.
    ∴  Correct sum = 325·23

    Question 85
    CBSEENCH11004970

    Express the result of the following calculations to the appropriate number of siginficant figures:

    943 space cross times space 0.00345 space plus space 101

    Solution

    943 × 0·00345 + 101
    = 3·25335 + 101
    = 3·25 + 101 (Applying the rule of product)
    = 104·25
    = 104 (Applying the rule of addition)

    Question 86
    CBSEENCH11004971

    How many significant figures should be present in the answer of the following calculations?

    fraction numerator 0.02856 space cross times space 298.15 space cross times space 0.112 over denominator 0.5785 end fraction

    Solution
    As the number of significant figures in the least precise factor is three (viz 0·112), therefore the answer should have 3 significant figures.
    Question 87
    CBSEENCH11004972

    How many significant figures should be present in the answer of the following calculations?

    5 space cross times space 5.364

    Solution
    Leaving the exact number (5), the second term has 4 significant figures, therefore the answer should have 4 significant figures.
    Question 88
    CBSEENCH11004973

    How many significant figures should be present in the answer of the following calculations?
    0.0125 plus 0.7864 plus 0.0215


    Solution
    Since the least number of decimal places in the given addition in the term is 4, therefore the answer should have 4 significant figures.
    Question 90
    CBSEENCH11004975

    Calculate the area of a rectangle whose length is 6.00 m and breadth 5.2 m. Express the result to a proper number of significant figures.

    Solution

    Area of rectangle = Length × Breadth = 6·00 m × 5·2 m = 31·200 m2
    As the number of significant figures in the least precise factor is two, therefore, the correct answer is 31m2.

    Question 91
    CBSEENCH11004976

    What do you know about the most scientific system of units?

    Solution
    The latest and the most scientific system of units is called International System of Units (S.I. units). This system was adopted by the General Conference of Weights and Measures in October, 1960. This system is now used throughout the world. The SI unit system has seven basic units.

    Seven basic SI Units.

    Quantity

    Unit

    Symbol

    Length

    metre

    m

    Mass

    kilogram

    kg

    Time

    second

    s

    Electric current

    ampere

    A

    Thermodynamic,Temperature

    kelvin

    K

    Amount of substance

    mole

    mol

    Luminous intensity

    Candela


    cd

     
    Question 92
    CBSEENCH11004977

    What is the S.I. unit of mass? How is it defined?

    Solution
    S.I. unit of mass is kilogram (kg). The mass of 1 mole of any substance is usually called its molar mass. The units of molar mass are g mol–1  or kg mol–1.
    Question 93
    CBSEENCH11004978

    Match the following prefixes with their multiples:

    A. micro (i) 106
    B. deca (ii) 109
    C. mega (iii) 10–6
    D. giga (iv) 10–15
    E. femto (v) 10

    Solution

    A.

    micro

    (i)

    10–6

    B.

    deca

    (ii)

    10

    C.

    mega

    (iii)

    106

    D.

    giga

    (iv)

    109

    E.

    femto

    (v)

    10–15
    Question 94
    CBSEENCH11004979

    A train covers a distance of 144 kilometers in two hours. What is the speed of the train in m/s.

    Solution

    Distance covered  = 144 kilometers
                               = 144 x 1000 m
    Time taken = 2 hours  = 2 x 60 x 60 second
    therefore Speed space equals fraction numerator Distance space covered over denominator Time space taken end fraction equals fraction numerator 144 cross times 1000 straight m over denominator 2 space cross times 60 cross times 60 straight s end fraction equals space 20 space ms to the power of negative 1 end exponent

    Question 95
    CBSEENCH11004980

    What do you mean by Dimensional Analysis (Derived units)?

    Solution

    From the seven basic or fundamental units, the units of some other physical quantities such as area, volume, pressure, force, speed, velocity etc. can be derived. These are called derived units. Derived unit of a physical quantity is also called dimensional formula of that quantity. For example, the unit of area can be derived as: Area = Length × Breadth If length = 6 m and breadth = 5m, then Area = 6m × 5m = 30m
    Unit for area is m2

    Some common derived units are listed below:
    Derived Units

    Physical Quantity

    Units

    Symbol for Unit

    Definition in S.I. Basic Units

    Area

    square metre

    m2

    m2

    Volume

    cubic metre

    m3

    m3

    Density

    kilogram per cubic

     

    kg/m3 or kg m–3

    Speed

    metre per second

     

    m/s or ms–1

    Acceleration

    metre per second

       

    Force

    newton

    N

    kg ms–2

    Pressure

    pascal

    Pa

    kg m–1s–1 or Nm–2

    Energy

    joule

    J

    kg m2 s–2

    Frequency

    hertz

    Hz

    s–1

    Electric charge

    coulomb

    C

    A Sec = amp second

    Electric resistance

    ohm

    m2 kg s–3 A–2

    Electric potentialdifference

    volt

    V

    kg m2 s–3 A–1 or JA–1 S–1

    Question 97
    CBSEENCH11004982
    Question 98
    CBSEENCH11004983
    Question 99
    CBSEENCH11004984
    Question 100
    CBSEENCH11004985
    Question 102
    CBSEENCH11004987

    Express each of the following in SI units:
    93 million miles (this is the distance between the earth and the sun)

    Solution

    93 million miles:
    1 mile =  1.60 kilometre = 1.60 x 103 m
    93 million miles = 93 x 10miles
    therefore space space 93 cross times 10 to the power of 6 space miles space equals space 1.60 cross times 10 cubed cross times 93 cross times 10 to the power of 6 straight m
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 equals space 148.8 space cross times space 10 to the power of 9 straight m
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 equals space 1.49 space cross times space 10 to the power of 11 straight m

    Question 103
    CBSEENCH11004988
    Question 104
    CBSEENCH11004989

    Express each of the following in SI units:
    100 miles per hour (the typical speed of Rajdhani Express).

    Solution
    100 miles per hour:
    1 mile = 1.60 kilometre = 1.60 x 103 m

    therefore space space space 100 space miles space equals space 1.60 space cross times space 10 cubed space cross times space 100 space straight m
space space space space space space space space space space space space space space space space space space space space equals space 1.60 space cross times space 10 to the power of 5 straight m
space space space space space space space space space space space space space space space space space 1 space hour space equals space 60 space cross times space 60 space seconds
therefore space space space 100 space miles space per space hour
space space space space space space space space space space space space space space space space space space space equals space 1.60 space cross times space 10 to the power of 5 space cross times space 60 space cross times space 60 space ms 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 equals space 5.76 space cross times space 10 to the power of 8 space ms to the power of negative 1 end exponent space space space space space space space space space space space space space
    Question 106
    CBSEENCH11004991
    Question 107
    CBSEENCH11004992

    Express each of the following in SI units:
    150 pounds (average weight of an Indian male).

    Solution

    150 pounds:
      1 pound  = 454 x 10-3 kg
     150 pounds = 454 x 10-3 x 150 kg = 68.1 kg

    Question 108
    CBSEENCH11004993

    Define matter. Briefly describe the physical classification (three different stages) of matter.

    Solution

    Matter. Matter is defined as anything which occupies space and has mass. On the basis of physical state, it has been classified as solids, liquids and gases.
    (i) Solids are rigid substances which have definite shape and possess definite volume. For example, table, book, silver, wood etc.
    (ii) Liquids are those mobile substances which have no definite shape but possess definite volume. They take up the shape of the vessel in which they are put. For example, milk, water, oil, mercury etc.
    (iii) Gases are those mobile substances which have no fixed shape or volume. Gases flow to assume the shape of the container. For example, nitrogen, hydrogen, carbondioxide etc.

    Question 109
    CBSEENCH11004994

    Describe briefly the chemical classification of matter.
    Or
    Define the terms element, compound and mixture.

    Solution

    According to chemical classification, matter can be classified into two types:
    (i) Pure substances
    (ii) Mixtures

    (i) Pure substances: A pure substance is made up of one type of substance. It can be further classified into two types:
    (a) Elements
    (b) Compounds
    (a) Elements. An element is defined as pure substance that contains only one kind of atoms. An element has definite physical and chemical properties. For example, hydrogen, phosphorus, iodine and sulphur are all elements. There are 105 elements known at present.

    (b) Compounds. A compound is a pure substance containing two or more than two elements combined together in some definite proportion by weight and which can be decomposed into its constituent elements by chemical means. For example, water is a compound formed by the combination of elements hydrogen and oxygen in a fixed proportion, 1 : 8 by weight. Water can also be decomposed into hydrogen and oxygen by passing electricity through it.

    (ii) Mixtures. A mixture is made up of two or more than two substances in varying amounts and can be separated into constituents by some suitable physical means. Mixtures are of two types:
    (a) Homogenous mixtures
    (b) Heterogenous mixtures.

    (a) Homogenous mixtures: Homogenous mixtures are the mixtures which have same composition throughout. For example, air is a homogenous mixture of a number of gases like oxygen, nitrogen, CO2 etc. Similarly alloys are homogenous mixtures of metals.

    (b) Heterogenous mixtures: Heterogenous mixtures are the mixtures which have different compositions in different parts. For example, a mixture of sand and sugar and a mixutre of sulphur and sand etc.

    Question 110
    CBSEENCH11004995

    Give the points of difference between mixture and compound.

    Solution

    Mixture

    1. The components of a mixture may be present in any ratio.

    Compound

    1. The components of a compound are always present in a fixed ratio by mass.

    2. Mixture may be homogeneous or heterogeneous in nature.

    2. Compounds are always homogeneous.

    3. The components of a mixture can be easily separated by simple physical or chemical means.

    3. The constituents (elements) of the compound cannot be separated either by physical or mechanical means. They can, however, be separated using heat or light (chemical means).

    4. Components of the mixture can be easily seen with naked eye or with magnifying glass.

    4. Components of the compound can in no case be seen with naked eye or with a magnified lense.

    5. The properties of a mixture are midway between those of its constituents.

    5. The properties of a compound are entirely different from those of its constituents.

     

     

    Question 111
    CBSEENCH11004996

    Define the terms:
    (i) Metals (ii) Non-metals (iii) Metalloids.

    Solution

     (i) Metals. Metals are generally solids and possess characteristics such as bright lustre, hardness and ability to conduct electricity and heat. These are generally malleable and ductile. For example, copper, iron, gold, silver etc.
    (ii) Non-metals. These elements are generally non-lustrous, brittle and poor conductors of heat and electricity. For example, carbon, hydrogen, oxygen etc.
    (iii) Metalloids. Metalloids are elements which show properties common to both metals and non-metals. For example, arsenic, antimony, bismuth etc.

    Question 112
    CBSEENCH11004997

    Classify the following as pure substances or mixtures: air, milk, graphite, diamond, gasoline, tap water, distilled water, oxygen, one rupee coin, 22 carat gold, steel, iron, sodium chloride, iodized table salt.

    Solution

    Pure substances: Graphite, Diamond, Distilled water, Oxygen, Iron, Sodium chloride,22 carat gold.
    Mixtures : Air, Milk, Gasoline, Tap water, One rupee coin, Steel, Iodised table salt.

    Question 113
    CBSEENCH11004998

    Separate the following substances into elements and compounds: Graphite, Diamond, Distilled water, Oxygen, Iron, Sodium chloride, Blue vitriol.

    Solution

    Elements: Graphite, Diamond, Oxygen, Iron.
    Compounds: Distilled water, Sodium chloride, Blue vitriol.

    Question 114
    CBSEENCH11004999

    How will you separate the following mixtures?
    (i) Oil and water
    (ii) Iron-filings and saw dust.
    (iii) Glass powder and sugar.

    Solution

    (i) Oil and water. As oil and water are usually immiscible with each other and form two separate layers, these layers can be separated with the help of separating funnel.
    (ii) Iron-filings and saw dust. This mixutre can be separated by rolling a magnet into the mixture. Iron filings are attracted towards the magnet and stick to it leaving the saw dust behind.
    (iii) Glass powder and sugar. The mixture is shaken with water in a beaker. Sugar dissolves in water whereas glass powder does not. The solution is filtered. Glass is left behind as residue while sugar solution is collected as filtrate. From the filtrate, sugar may be obtained by evaporation of water or by crystallisation process.

    Question 115
    CBSEENCH11005000

    Define the law of conservation of mass. How will you verify this law?

    Solution
    Law of conservation of mass (A. Lavoisier 1774) states that matter is neither created nor destroyed during any physical or chemical change and as such the total mass of the reactants before the reaction is equal to the total mass of the products after the reaction. This law is also called the law of indestructibility of matter.


    Verification. This law can be verified with the help of Landolt’s experiment. Landolt took the solutions of sodium chloride and silver nitrate separately in two limbs of Landolt’s tube. The tube was weighed and sealed. After weighing, the two solutions were mixed thoroughly by shaking the tube. As a result, silver nitrate reacted with sodium chloride to from a white precipitate of silver chloride.
    AgNO subscript 3 left parenthesis aq right parenthesis. space plus NaCl left parenthesis aq right parenthesis space rightwards arrow space space stack AgCl left parenthesis straight s right parenthesis with white space ppt below downwards arrow space plus space NaNO subscript 3 left parenthesis aq. right parenthesis
    After the reaction, the tube was again weighed and weight was found to be the same as it was before the chemical reaction. This confirms the truthfulness of the law.
    Question 116
    CBSEENCH11005001

    When 4·2g of NaHCO3 (sodium hydrogen carbonate) is added to a solution of CH3COOH (acetic acid) weighing 10·0g, it is observed that 2·2g of CO2 is released into atmosphere. The residue is found to weigh 12·0g. Show that these observations are in agreement with the law of conservation of mass.

    Solution

    The reaction is 
    stack NaHCO subscript 3 with Sodium space bicarbonate below plus space stack CH subscript 3 COOH with Acetic space acid below rightwards arrow space space stack CH subscript 3 COONa with Sodium space acetate below space plus straight H subscript 2 straight O plus CO subscript 2
     Total mass of the reactants
            equals thin space Mass space of space NaHCO subscript 3 space plus space Mass space of space CH subscript 3 COOH space equals space 4.2 plus 10.0 space equals space 14.2 space straight g
Total space mass space of space products space equals space Mass space of space the space residue

left parenthesis CH subscript 3 COONa plus straight H subscript 2 straight O right parenthesis space plus space Mass space of space the space CO subscript 2 space equals space 12 plus 2.2 space equals space 14.2 space straight g
    Thus, total mass of reactants (14.2) g
                       = Total mass of products (14.2) g
    This illustrates the law of conservation of mass.

    Question 117
    CBSEENCH11005002

    If 6.3g of NaHCO3 are added to 15.0 g of CH3COOH solution, the residue is found to weigh 18.0g. What is the mass of CO2 released in the reaction?

    Solution

    The reaction is
    NaHCO subscript 3 space plus space HCl space rightwards arrow space space NaCl space plus space straight H subscript 2 straight O space plus space CO subscript 2
Total space mass space of space reactants space space equals space Mass space of space NaHCO subscript 3 space plus space Mass space of space HCl 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 equals space 6.3 plus 15.0 space equals space 21.3 space straight g
space equals space 18.0 plus space straight x space where space straight x space is space mass space of space CO subscript 2 space released.
    According to the law of conservation of mass:
    Total mass of reactants =  Total mass of products
                         21.3 = 18.0 + x
    or                     x = 21.3 - 18.0 = 3.3 g
    therefore space space space space Mass space of space CO subscript 2 space relased space equals space 3.3 space straight g

    Question 118
    CBSEENCH11005003

    State the law of constant composition or Definite proportion. Explain with suitable examples.

    Solution

    Law of constant composition (Louis Proust, 1799) states that a pure chemical compound, regardless of its source, is always made up of the same elements, combined together in a fixed proportion by weight.
    For example, carbon dioxide can be obtained by a number of methods:
    (i) by burning coal or candle
    (ii) by respiration
    (iii) by heating limestone (CaCO3)
    (iv) by the action of dilute hydrochloric acid on marble pieces.
    It has been observed that each sample of carbon dioxide contains carbon and oxygen elements in the ratio of 3:8 by weight.


    Question 119
    CBSEENCH11005004

    In an experiment 4.68 g iron oxide on reduction with hydrogen yields 3.86 g of iron. In another experiment 3.88 g of iron oxide gives 3.2 g of iron on reduction with hydrogen. Prove that the above data illustrates the law of constant proportions.

    Solution
    In the first experiment:
    Mass of iron oxide  = Mass of iron oxide - Mass of iron = (4.68 - 3.86) = 0.82 g
    Ratio of oxygen and iron  = 0.82 : 3.86 = 1:4.707

    In the second
    experiment:
    The mass of iron oxide = 3.88 g
    The mass of iron after reduction  = 3.20 g
    Mass of iron oxide  = Mass of iron oxide - Mass of iron = (3.88-3.20) = 0.68g
    Ratio of oxygen and iron=0.68:3.20 =1:4.706
    Thus, the data illustrates the law of consant proportions as in both the experiments the ratio of oxygen and iron is the same.


                                    
        
                                         

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    Question 120
    CBSEENCH11005005

    Weight of copper oxide obtained by treating 2.16 g of metallic copper with nitric acid and subsequent ignition was 2·7g. In another experiment, 1 · 15 g of copper oxide on reduction yielded 0·92g of copper. Show that the result illustrates the law of definite proportion.

    Solution
    In the first experiment:
    Weight of copper = 2.16 g
    Weight of copper oxide obtained on ignition = 2.70 g
    therefore   Percentage of copper in copper oxide
                                equals space fraction numerator 2.16 over denominator 2.70 end fraction cross times 100 space equals space 80 percent sign
    therefore Percentage space of space oxygen space in space copper space oxide space equals 100 minus 80 space equals 20 percent sign
    In the second experiment.
    Weight of copper oxide = 1.15 g
    therefore Weight space of space copper space left space after space reduction space equals space 0.92 space straight g
therefore space Percentage space of space copper space in space copper space oxide space equals space fraction numerator 0.92 over denominator 1.15 end fraction cross times 100 space equals space 80 percent sign
    therefore Percentage space of space oxygen space in space copper space oxide space space equals space 100 space minus 80 space equals space 20 percent sign
    Thus, the data illustrates the law of definite porportion as in both the experiments the percentage of copper and oxygen are same.


    Question 122
    CBSEENCH11005007

    State and explain the law of multiple proportions.

    Solution

    Law of multiple proportions (John Dalton 1804) states that when two elements combine to form two or more compounds, the weight of one of the elements which combines with a fixed weight of the other, bears a simple whole number ratio. For example, hydrogen and oxygen combine to form two compounds H2O (water) and H2O2(hydrogen peroxide). In water, Hydrogen 2 parts and oxygen 16 parts In hydrogen peroxide hydrogen 2 parts and oxygen 32 parts.
    The weights of oxygen which combine with same weight of hydrogen in these two compounds bear a simple ratio 1 : 2. Nitrogen forms five stable oxides:
    N2O Nitrogen 28 parts Oxygen 16 parts
    N2O2 Nitrogen 28 parts Oxygen 32 parts
    N2O3 Nitrogen 28 parts Oxygen 48 parts
    N2O4 Nitrogen 28 parts Oxygen 64 parts
    N2O5 Nitrogen 28 parts Oxygen 80 parts
    The weight of oxygen which combines with same weight of nitrogen in the five compounds bear a ratio 16 : 32 : 48 : 64 : 80 : or 1 : 2 : 3 : 4 : 5.

    Question 124
    CBSEENCH11005009

    Carbon and oxygen are known to form two compounds. The carbon content in one of these is 42·9% while in the other it is 27·3%. Show that this data is in agreement with the law of multiple proportions. 

    Solution
    In first compound:
    Weight percent of carbon = 42.9
    Weight percent of oxygen = 100 - 42.9 = 57.1
    In second compound:
    Weight percent of carbon = 27.3
    Weight percent of oxygen = 100 - 27.3 = 72.7
    Now in first compound:
    57.1 parts by weight of oxygen combine with 42.9 parts by weigh of carbon
    therefore 1 part by weight of oxygen will combine withfraction numerator 42.9 over denominator 57.1 end fraction space equals space 0.751 space parts space of space carbon

    Now in second compound:
    72.7 parts by weight of oxygen combine with 27.3 parts by weight of carbon
     therefore 1 part by weight of oxygen will combine with fraction numerator 27.3 over denominator 72.7 end fraction space equals space 0.375 space parts of carbon.
    The weights of carbon which combine with same weights of oxygen in two compounds bear a ratio 0·751 : 0·375 or 2 : 1. This is a simple ratio. Hence, the data illustrates the law of multiple proportion.

    Question 125
    CBSEENCH11005010

    Define the law of reciprocal proportion. Explain with suitable examples.

    Solution

    The law of reciprocal proportion (Richtev 1792) states that if two elements A and B combine separately with another element C, then the ratio of respective weights of A and B which combine with a fixed weight of C is the same or simple multiple of the weights in which A and B combine with each other. For example, sodium and chlorine combine with hydrogen to form compounds NaH and HCl respectively.

    In NaH:
    23 g sodium combines with 1 g hydrogen.
    In HCl:
    35·5 g chloride combines with 1 g hydrogen.

    The ratio of masses of sodium and chlorine which combine with a fixed mass of hydrogen (1 g) is 23 : 35·5
    Now sodium and chlorine also combine to form NaCl.
    In NaCl:
    23g sodium combines with 35·5 chlorine in the ratio 23 : 35·5
    This is the same ratio which combines with one part of hydrogen in NaH and HCl.

    Question 126
    CBSEENCH11005011

    Show that the law of reciprocal proportions is proved by the following results:
    1·4g of the element A is known to combine with 1·6g of element B, while 0·5g of another element C combines with 3·5g of the element A and 2·857g of the element C combines with 22·857g of element B.

    Solution

    (i) In AB compound:
    1.4 g of A combines with 1.6g of B
    therefore 1 g of A combines with fraction numerator 1.6 over denominator 1.4 end fraction straight g space of space straight B space equals space 1.14 space straight g space of space straight B
    (ii) For AC compound:
    3.5 g of A combines with 0.5g of C
    1g of A combines with fraction numerator 0.5 over denominator 3.5 end fraction straight g space of space straight C space equals 0.14 space straight g space of space straight C
    Ratio of masses of B (in AB) and C(in AC) that combines with the fixed mass of A(1 g) is
    fraction numerator Mass space of space straight B over denominator Mass space of space straight C end fraction space equals fraction numerator 1.14 over denominator 0.14 end fraction space equals space fraction numerator 8.14 over denominator 1 end fraction space space space space... left parenthesis 1 right parenthesis
    (iii) In BC compound:
    Ratio of masses of B and C, when they combine to form BC is
    fraction numerator Mass space of space straight B over denominator Mass space of space straight C end fraction space equals space fraction numerator 22.857 over denominator 2.857 end fraction space equals space 8 over 1 space space space space space space... left parenthesis 2 right parenthesis
    Since the two ratios (1) and (2) between the masses of B and C are same, hence the law of reciprocal proportion is proved.

    Question 127
    CBSEENCH11005012

    State Gay Lussac’s law of combining volumes. Illustrate with suitable examples.

    Solution
    Gay Lussac’s law (Gay-Lussac’s 1908) states that gases react with each other in the simple ratio of their volumes and if the product is also in gaseous state, the volume of the product also bears a simple ratio with the volumes of the gaseous reactants. The measurement of all the volumes are made under similar conditions of temperature and pressure.
    stack straight H subscript 2 with 1 space vol below space plus space stack Cl subscript 2 with 1 space vol below space space rightwards arrow space space space stack 2 HCl with 2 space vol below space space space space space space space open square brackets ratio space 1 colon space 1 colon space 2 close square brackets
stack 2 SO subscript 2 with 2 space vol below plus space stack straight O subscript 2 with 1 space vol below space space rightwards arrow space space stack 2 SO subscript 3 with 2 space vol below space space space space space space space open square brackets ratio space 2 space colon 1 space colon space 2 close square brackets
stack straight N subscript 2 with 1 space vol below plus stack 3 straight H subscript 2 with 3 space vol below space rightwards arrow space space space stack 2 NH subscript 3 with 2 space vol below space space space space space space space space space space open square brackets ratio space 1 colon space 3 space colon 2 close square brackets
    The volume ratio in the above examples is a simple whole number ratio.
    Question 128
    CBSEENCH11005013

    Two volumes of hydrogen combine with one volume of oxygen to produce two volumes of steam. Show that this illustrates Gay Lussac’s law.

    Solution

    Given that stack 2 straight H subscript 2 with 2 space vol below space plus space stack straight O subscript 2 with 1 space vol below space space rightwards arrow space space space space stack 2 straight H subscript 2 straight O left parenthesis steam right parenthesis with 2 space vol below
    The ratio in the volumes of gases are 2:1:2 (simple ratio). Hence, it illustrates the Gay-Lussac's law.

    Question 129
    CBSEENCH11005014

    Give various postulates of Dalton's atomic theory.

    Solution

    The main postulates of Dalton’s atomic theory (Dalton 1808) are:
    1. Matter is made up of very small indivisible particles called atoms.
    2. Atoms of the same element are identical in all respects.
    3. Atoms of different elements differ in properties and mass.
    4. Atoms combine in a simple but fixed ratio to form compound atoms (now called molecules).
    5. Atom is the smallest particle which can take part in a chemical reaction.
    6. Atom can neither be created nor destroyed during a chemical reaction.
    7. Atoms of two elements may combine in different ratios to form more than one compound.

    Question 130
    CBSEENCH11005015

    What are the limitations of Dalton's atomic theory?

    Solution

    Limitations of Dalton's atomic theory:
    1) It could not make any distinction between an ultimate particle of an element and that of a compound both of which are loosely called atoms, the former known as simple atoms and the latter known as compound atoms.
    2. It could not explain Berzelius hypothesis.
    3. It could not explain the Gay Lussac’s law of combining volumes.
    4. It could not explain as to why the atoms of different elements combine to form compound atoms.
    5. It failed to explain the cause of chemical combination.
    6. It failed to give the idea of isotopes and isobars.

    Question 131
    CBSEENCH11005016

    How Dalton's atomic theory was modified on the basis of modern reseraches? or Give various postulates of modern atomic theory.

    Solution

    On the basis of new experimental facts, Dalton’s atomic theory has been modified as:
    1. Atom is no longer indivisible. Atom is composed of still smaller particles which are called electrons, protons and neutrons.
    2. Atoms of same element may not have same atomic mass. For example, some atoms of chlorine have atomic mass 35 amu while others have atomic mass 37 amu. Such atoms of same element having different atomic masses are called isotopes.
    3. Atoms of different elements may have same atomic masses. For example, atomic mass of calcium and argon atoms are 40 amu. Such atoms of different elements having same atomic mass are called isobars.
    4. There are no compound atoms but these are called molecules. Atom is the smallest particle that takes part in a chemical reaction.
    5. The ratio in which atoms of different elements combine may not be simple e.g. in a molecule of sugar (C12H22O11), the ratio of C,H and O atoms is 12 : 22 : 11 which is not simple.
    6. Atoms of one element can be transmuted into atoms of other elements (Discovery of artificial transmutation).
    7. Atom is no longer considered indestructible. In nuclear reaction, during the conversion of atoms of one substance into the atoms of other substance, some of the mass is lost and converted into energy according to the relation E = mc(Einstein equation) where E = energy, m = mass and c is the, velocity of light (3×108 ms–1). Hence, in nuclear reaction atoms get destroyed and their mass changes into energy.

    Question 132
    CBSEENCH11005017

    What do you understand by atom and molecule?

    Solution
    Atom: Atom is the smallest particle of an element which may or may not have independent existence. For example, the atoms of hydrogen are not capable of independent existence while the atoms of neon gas are capable of independent existence. Atoms take part in chemical combination and remain as indivisible.

    Molecule: Molecule is the smallest particle of a substance (element or compound) which is capable of independent existence. The molecules are formed by the combination of two or more atoms. In case the atoms happen to be the same, the molecules are called homoatomic molecules (e.g. O2, N2, H2 etc.). In case atoms happen to be different, the molecules are known as heteroatomic molecules (e.g. NH3, CO2, SOetc.).

    Question 133
    CBSEENCH11005018

    What is the difference between molecule of an element and molecule of a compound?

    Solution

    Molecule of an element:  Molecule of an element contains two or more atoms of the same element. For example, a molecule of hydrogen consists of two atoms of hydrogen. Such molecules are called diatomic molecules. A molecule of ozone (O3) contains three atoms of oxygen. The molecules of noble gases such as helium, neon, argon, krypton and xenon are regarded as mono atomic molecules. This is because each molecule of these gases contains only one atom.

    Molecule of a compound: 
     Molecule of a compound contains two or more atoms of the different elements. For example, a molecule of water (H2O) contains two atoms of hydrogen and one atom of oxygen. Molecules of some of the natural products are quite complex and contain a very large number of atoms. For example a molecule of cane sugar (C12H22O11) contains 45 atoms.

    Question 134
    CBSEENCH11005019

    Define Avogadro’s law. Taking a suitable example, prove that it is not in contradiction with Dalton’s atomic theory.

    Solution

    Avogadro’s law states that ‘equal volumes of all gases under similiar conditions of temperature and pressure contain equal number of molecules.’
    On applying Avogadro’s law to the reaction between hydrogen and oxygen to form water vapours, we have,
    Hydrogen    +   Oxygen   rightwards arrow       Water vapours
    2 volumes         1 volume              2 volumes(experimental)
    2n molecules     n molecules          2n molecules
                                          (Avogadro's hypothesis)
    2 moleucles    +  1 molecule    rightwards arrow    2 molecules
    1 molecule     +   1/2 molecule rightwards arrow    1 molecule
    This means that one molecule of water is made of 1 molecule of hydrogen and 1/2 molecule of oxygen (i.e. one atom of oxygen). Since the molecules can be subdivided, the result is not in conflict with Dalton’s atomic theory.           

    Question 135
    CBSEENCH11005020

    Explain breifly the present state of Atomic-Molecular theory of matter.

    Solution

    It can be summarized as follows:
    1. Matter is made up of extremely small particles called molecules which may have independent existence. Molecules themselves are composed of two or more atoms. However, molecules of noble gases are composed of one atom only.
    2. Molecules of a particular substance are identical in all respects such as mass, size, shape and other properties.
    3. Molecules of different substances have different masses, sizes, shapes and other properties.
    4. Molecular mass of a substance is the sum of the atomic masses of the constituent atoms.
    5. During a chemical reaction, the molecules of the reacting substances first break into atoms and then recombine to form new molecules of the products.
    6. The number of atoms present in one molecule of an element is known as atomicity of the element.

    Question 136
    CBSEENCH11005021

    Define the following:
    Precision and accuracy

    Solution
    Precision and Accuracy: Precision refers for the closeness of the set of values obtained from identical measurements of a quantity. Accuracy refers to the closeness of a single measurement to its true value.
    Question 137
    CBSEENCH11005022

    Define the following:
    Unit factor

    Solution
    Unit factor: Unit factor or conversion factor is equal to the ratio of the magnitude of the same physical quantity in two different units of measurements. For example,
    1 min = 60 s
    1 = Conversion factor = fraction numerator 60 straight s over denominator 1 space min end fraction
    Question 138
    CBSEENCH11005023

    Define the following:

    Average atomic mean.

    Solution

    Average atomic mass : The average atomic mass is defined as “the average relative mass of an atom of an element as compared to the mass of carbon atom (C-12) taken as 12 amu.’ For example, in naturally occurring neon isotopes and their relative abundance are as follows :

    Isotope

    Fractional abundance

    20Ne

    0·9051

    21Ne

    0·0027

    22Ne

    0·0922


    therefore space space space Average space atomic space mass space of space neon
space equals space 20 space cross times space 0.9051 space plus space 21 space cross times space 0.0027 space plus 22 space cross times space 0.922
equals space 20.179 space straight a. straight m. straight u.
    Question 139
    CBSEENCH11005024

    What do you understand by:
    (i) Atomic Mass?
    (ii) Gram atomic mass(gram-atom)?

    Solution
    Atomic Mass. The atomic mass of an element is defined as the average relative mass of the atom as compared to the mass of the atom of carbon (C12) taken as 12. In other words, atomic mass is a number which tells us as to how many times an atom of the element is heavier than 1 over 12 th space of space the space mass space of space carbon space atom space left parenthesis straight C to the power of 12 right parenthesis. It is therefore, called relative atomic mass.
    Thus, Relative atomic mass
    equals space fraction numerator Mass space of space atom space of space the space element over denominator begin display style 1 over 12 th space of space mass space of space straight a space carbon space atom space left parenthesis straight C to the power of 12 right parenthesis end style end fraction
    The term relative used in the above definition means that the atomic masses are not actual masses of the atoms but are obtained by comparison with carbon.
    The term average is used in the definition because atoms of the same element may have different atomic masses (isotopes) and hence an average value is taken. For example, there are two isotopes of chlorine having atomic masses 35 and 37 respectively. These isotopes occur in chlorine in the ratio 3:1, thus, Average atomic mass of chlorine
    equals space fraction numerator 35 cross times 3 plus 37 cross times 1 over denominator 3 plus 1 end fraction space equals 35.5
    (ii) Gram atomic mass(gram-atom). It is the quantity of an element whose mass in grams is numerically equal to its atomic mass on amu scale. In other words, atomic mass of an element in grams is called gram atomic mass. It is also called gram atom. For example,

    Atomic mass of hydrogen (1 gram atom of hydrogen) = 1·008 g
    Atomic mass of oxygen (1 gram atom of oxygen) = 16 g
    Atomic mass of sodium (1 gram atom of sodium) = 23 g
    Number of gram atoms and mass in grams of an element are related by the following relation:
    No. of gram-atoms = fraction numerator Mass space in space grams over denominator Gram space atomic space mass end fraction

    Question 142
    CBSEENCH11005027

    What do you mean by Atomic mass unit?

    Solution

    Atomic mass unit. The quantity 1 over 12 th space mass of an atom of carbon (C12) is known as atomic mass unit. The atomic mass unit equals to 1·6603 × 10–27 kg.

    Question 143
    CBSEENCH11005028

    Calculate the volume at STP occupied by:
    (i) 16 g of oxygen
    (ii) 2·5 moles of CO2
    (iii) 1 × 1021 molecules of oxygen.

    Solution
    (i) 16 g of oxygen.
    Gram molecular mass of oxygen  = 32 g
    Now 32 g oxygen at STP occupies volume = 22.4 litres
    therefore 16 g oxygen at STP would occupy volume
                                   equals fraction numerator 22.4 over denominator 32 end fraction cross times 16 space equals space 11.2 space litres.
    (ii) 2.5 moles of CO2
    1 mole of carbondioxide at STP occupies = 22.4 litres
    therefore space 2.5 space mole space of space carbondioxide space at space STP space would space occupy space equals space 22.4 space cross times space 2.5 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 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 equals space 56 space litres
    (iii) 1 space cross times space 10 to the power of 21 space molecules space of space oxygen
    6.023 space cross times space 10 to the power of 23 space molecules space of space oxygen space at space STP space occupies space space equals space 22.4 space litres.
    therefore space space space 1 space cross times space 10 to the power of 21 space molecules space of space oxygen space at space STP space would space occupy space
equals space fraction numerator 22.4 over denominator 6.023 space cross times space 10 to the power of 23 end fraction cross times 1 cross times 10 to the power of 21
space space equals 3.72 space cross times space 10 to the power of negative 2 end exponent space litres.

    Question 144
    CBSEENCH11005029

    If 1021 molecules are removed from 200 mg of CO2, then how many moles of COare left?

    Solution
    CO subscript 2 space taken space equals space 200 space mg space space equals space 200 over 1000 straight g space equals space 0.2 space straight g
Gram space molecular space mass space of space CO subscript 2 space equals space 12 plus 2 space cross times space 16 space equals space 44 space straight g
Now space 44 space straight g space CO subscript 2 space would space contain
therefore space space space 0.2 space straight g space CO subscript 2 space would space contain
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 equals 1 over 44 cross times 0.2 space equals space 0.004545 space mole space space space space space space space
    Since 6.023 space cross times space 10 to the power of 23 molecules are present in 1 mole of CO2
    therefore space space space 1 space cross times space 10 to the power of 21 space molecules space are space present space in space
space space space space space space space space space space space space space space space space space space space space equals space space fraction numerator 1 over denominator 6.023 space cross times space 10 to the power of 23 end fraction cross times 1 space cross times space 10 to the power of 21
space space space space space space space space space space space space space space space space space space space space equals 0.0016603 space mole
Hence space number space of space moles space of space CO subscript 2 space left
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 equals 0.004545 minus 0.0016603
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 equals space 2.885 space cross times space 10 to the power of negative 3 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
    Question 145
    CBSEENCH11005030
    Question 146
    CBSEENCH11005031

    What is the name of the element whose mass of one atom is 4×10–23. Given Avogadro’s number as 6×1023.

    Solution

    One atom of an element weighs
                                              equals space 4 cross times space 10 to the power of negative 23 end exponent straight g
    therefore space space space 6 space cross times space 10 to the power of 23 space atoms space of space an space element space would space weigh
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 equals space 4 space cross times space 10 to the power of negative 23 end exponent cross times 6 cross times 10 to the power of 23 straight g space equals space 24 space straight g
therefore space Gram space atomic space mass space of space the space element space space equals space 24 space straight g
or space space space space space space space space Atomic space mass space of space the space element space equals space 24 space straight g
therefore space space space Name space of space the space element space is space magnesium.

    Question 147
    CBSEENCH11005032

    Explain the terms empirical and molecular formulae of a compound. How are these related to each other?

    Solution

    Empirical formula:  The empirical formula is the formula of a compound which gives the simple whole number ratio of the atoms of various elements present in one molecule of the compound. For example, empirical formula of benzene is CH, which indicates that atomic ratio of C : H in benzene is 1 : 1.
    Molecular formula: The formula which represents the actual number of atoms of various elements present in the molecule of a substance is known as molecular formula.

    For example, the molecular formula of benzene is C6H6 which shows that in one molecule of benzene there are actually six carbon atoms and six hydrogen atoms.

    Relation between empirical and molecular formulae:
    Molecular formula is a whole number multiple of empirical formula and the two are related as:
    Molecular formula = n × (Empirical formula) where n is an integer 1, 2, 3 .... and is given by
    straight n space equals fraction numerator Molecular space formula over denominator Empirical space formula end fraction
equals space fraction numerator Molecular space mass over denominator Empirical space formual space mass end fraction

    Question 148
    CBSEENCH11005033

    How will you calculate the empirical formula mass?

    Solution
    Empirical formula mass is calculated by adding the atomic masses of the constituent atoms present in the empirical formula of a substance. Thus, empirical formula mass of benzene (CH) = 12 amu + 1 amu = 13 amu.
    Question 149
    CBSEENCH11005034

    What is the percentage of carbon, hydrogen and oxygen in ethanol?

    Solution
    Molecular formula of ethanol is C2H5OH.
    Molar mass of ethanol (C2H5OH)
     = 2(12.01) +6(1.008) +16.00 = 46.068g
    Mass percentage of carbon
    fraction numerator 24.02 space straight g over denominator 46.068 space straight g end fraction cross times space 100 space equals space 52.14 percent sign
    Mass percentage of hydrogen
                 equals space fraction numerator 6.048 straight g over denominator 46.068 straight g end fraction cross times space 100 space equals space 13.13 percent sign
    Mass percentage of oxygen
    equals space fraction numerator 16.00 space straight g over denominator 46.068 space straight g end fraction cross times space 100
equals space 34.73 percent sign
    Question 150
    CBSEENCH11005035

    Calculate the mass percentage of different elements present in sodium sulphate (Na2SO4).

    Solution

    Molecular mass of sodium =23
    Molecular mass of sulphur =32
    Molecular mass of oxygen =16
    Thus,
    Molar space mass space of space Na subscript 2 SO subscript 4 space equals space 2 left parenthesis 23.00 right parenthesis
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 plus 32.00 space plus 4 space left parenthesis 16.00 right parenthesis
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 equals space 142 space straight g 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
    Mass space percentage space of space sodium space equals space fraction numerator 46 straight g over denominator 142 straight g end fraction cross times 100
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 equals space 32.39 percent sign
Mass space percentage space of space sulphur space equals space fraction numerator 32 straight g over denominator 142 straight g end fraction cross times 100
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 equals space 22.54 percent sign
Mass space percentage space of space oxygen space equals space fraction numerator 64 over denominator 142 straight g end fraction cross times 100
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 equals space 45.07 percent sign

    Question 151
    CBSEENCH11005036

    Fe2(SO4)3 is the empirical formula of a crystalline compound of iron. It is used in water and sewage treatment for the removal of suspended impurities. Calculate the mass percentage of iron, sulphur and oxygen in the compound. 

    Solution

    Molecular mass of Fe subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3
                                  equals space 2 cross times 56 plus 3 left parenthesis 32 plus 4 cross times 16 right parenthesis
equals space 112 plus 288
equals space 400 space straight a. straight m. straight u.
    Percentage of iron
             equals space fraction numerator Mass space of space iron over denominator Molecular space mass space of space Fe subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 end fraction cross times 100
equals space 112 over 400 cross times 100 space equals space 28 percent sign
    Percentage of sulphur
                 space equals space fraction numerator Mass space of space sulphur over denominator Molecular space mass space of space Fe subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 end fraction cross times 100
space equals space 96 over 400 cross times 100 space equals space 24 percent sign
    Percentage of oxygen
                       equals space fraction numerator Mass space of space oxygen over denominator Molecular space mass space of space Fe subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 end fraction cross times space 100
equals space 192 over 400 cross times 100 equals space space 48 percent sign

    Question 152
    CBSEENCH11005037

    What is the empirical formula of the compounds having molecular formula as:
    (i) C6H6 
    (ii) C6H12
    (iii) H2O2 
    (iv) H2O
    (v) Na2CO3
    (vi) B2H6
    (vii) N2O6 

    Solution

    (i) C6H6: The empirical formula is CH.
    (ii) C6H12: The empirical formula is CH2.
    (iii) H2O2: The empirical formula is HO2.
    (iv) H2O: The empirical formula is H2O.
    (v) Na2CO3: The empirical formula is Na2CO3
    (vi) B2H6: The empirical formula is BH3.
    (vii) N2O6: The empirical formula is NO3.

    Question 153
    CBSEENCH11005038

    Determine the empirical formula of an oxide of iron which has 69·9% iron and 30.1% dioxygen by mass.

    Solution

    Element

    Percentage

    Atomic Mass

    Atomic ration

    Simplest ratio

    Simplest whole number ratio

    Iron (Fe)

    69.9

    55.85

    69.9/55.85=1.25

    1.25/1.25 =1

    2

    Oxygen (O)

    30.1

    16.00

    30.1/16.00=1.88

    1.88/1.25=1.5

    3


    Empirical formula Fe2O3
    Question 154
    CBSEENCH11005039

    Silicon (Si = 28) forms a compound with chlorine (Cl = 35·5) in which 5·6g of silicon is combined with 21·3g of chlorine. Calculate the empirical formula of the compound.

    Solution

    (i) To calculate the percentage of silicon and chlorine:
                Weight of silicon = 5.6 g
              Weight of chlorine = 21.3 g
    Percentage space of space chlorine space equals fraction numerator 21.3 over denominator 26.9 end fraction cross times 100 space equals space 79.2
space space Percentage space of space silicion space equals space 100 minus space 79.2 space equals space 20.8
    (ii) To calculate the empirical formula:

    Element % atomic no. atomic ratio simplest ratio simple whole ratio
    Silicon 20.8 28 20.8/28=0.74 0.74/0.74=1 1
    Chlorine 79.2 35.5 79.2/35.5=2.23 2.23/0.74=3 3
     
    Therefore empirical formula is SiCl3.
    Question 155
    CBSEENCH11005040

    2.38 g of uranium was heated strongly in a current of air. The resulting oxide weighed 2806 g. Determine the empirical formula of the oxide. (At. mass of U = 238, O = 16).

    Solution
    (i) To calculate the percentage of uranium and oxygen in the oxide:
    2.806 space straight g space of space oxide space contains space uranium space equals space 2.38 space straight g
therefore space space space space space space Percentage space of space uranium space equals space fraction numerator 2.38 over denominator 2.806 end fraction cross times 100 space equals space 84.82
Hence comma space the space percentage space of space oxygen space in space the space oxide space equals space 100.00 space minus 84.82 space equals space 15.18
    (ii) To calculate the empirical formula of the oxide:

    Question 156
    CBSEENCH11005041

    Four grams of copper chloride on analysis was found to contain 1·890 g of copper (Cu) and 2·110 g of chlorine (Cl). What is the empirical formula of copper chloride?

    Solution
    (i) To calculate the percentage of copper (Cu) and chlorine (Cl):
    Percentage space of space Cu space in space copper space chloride space equals space fraction numerator 1.890 over denominator 4 end fraction cross times 100 equals space 47.3
Percentage space of space Cl space in space copper space chloride space equals space fraction numerator 2.110 over denominator 4 end fraction cross times space 100 space equals space 52.7
    (ii) To calculate the empirical formula of the compound.

    Question 157
    CBSEENCH11005042

    The atomic mass of metal M is 56. Calculate the empirical formula of its oxide containing 70% of M.

    Solution
    (i) To calculate the percentage of oxygen.
    Percentage space of space metal space space equals space space 70 percent sign
Percentage space of space oxygen space space equals space 100 space minus space 70 space equals space 30 percent sign
    (ii) To calculate the empirical formula of oxide:
    Question 158
    CBSEENCH11005043

    A chemical compound is found to have the following composition: C = 19·5%, Fe = 15·2%, N = 22·8%, K = 41·5%. Calculate the empirical formula of the compound. What will be the molecular formula if the molecular mass of the compound is 368? Name the compound also. 

    Solution
     (i) To calculate the empirical formula of the compound.

     
    Empirical formula of the compound equals straight C subscript 6 FeN subscript 6 straight K subscript 4
    (ii) To calculate the molecular formula of the compound:
    Empirical formual mass = 6 x 12 + 56 +6 x 14 + 4 x 39
                                       = 72+56+84+156
                                        =368 (given)
    Molecular mass = 368
             straight n space equals space fraction numerator Molecular space mass over denominator Empirical space formula space mass end fraction space equals space 368 over 368 space equals 1
    Hence molecular formula is 
    straight C subscript 6 FeN subscript 6 straight K subscript 4 space straight i. straight e. space straight K subscript 4 left square bracket Fe left parenthesis CN right parenthesis subscript 6 right square bracket
    Name of compound is Potassium ferrocyanide. 

    Question 159
    CBSEENCH11005044

    A compound on analysis, is found to have the following composition:
    (i) Sodium = 14·31%,          (ii) Sulphur = 9·97
    (iii) Oxygen = 69·50%         (iv) Hydrogen = 6·22%.
    Calculate the molecular formula of the compound assuming that whole of hydrogen in the compound is present as water of crystallisation. Molecular weight of the compound is 322.

    Solution
    (i) To calculate the empirical formula of the compound:

    (ii) To calculate the molecular formula of the compound.
    Empirical formula mass of,
    Na subscript 2 SH subscript 20 straight H subscript 14 space equals left parenthesis 2 cross times 23 right parenthesis plus 32 plus left parenthesis 20 cross times 1 right parenthesis plus left parenthesis 14 cross times 1 right parenthesis equals 322
                            Molecular mass = 322                         [given]
    Hence,                         straight n space equals fraction numerator Molecular space mass over denominator Empirical space formula space mass end fraction space equals 322 over 322 equals 1
    therefore space space space Molecular space mass space equals space straight n space cross times space Empirical space formula
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 equals space 1 cross times Na subscript 2 SH subscript 20 straight H subscript 14
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 equals space space Na subscript 2 SH subscript 20 straight O subscript 14 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
    Whole of the hydtogen is present in the form of water. Thus, 10 water molecules are present in the molecule.
    So molecular formula of the compound is Na2SO410H2O.
    Question 160
    CBSEENCH11005045

    A sample of hydrazine consists of 87·42% N and 12·58% H by mass. The molecular mass of hydrazine is 32·0 g mol–1. Calculate its molecular formula.

    Solution
    (i) To calculate the empirical formula

    (ii) To calculate the molecular formula:
                 Empirical formula mass left parenthesis NH subscript 2 right parenthesis space equals space 14 space plus 2 space cross times space 1 space equals space 16 space straight g space mol to the power of negative 1 end exponent
                         Molecular space mass space of space hydrazine space equals space 32 space straight g 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 straight n space equals space fraction numerator Molecular space mass space of space hydrazine over denominator Empirical space formual space mass end fraction space equals fraction numerator 32 space straight g space mol to the power of negative 1 end exponent over denominator 16 space straight g space mol to the power of negative 1 end exponent end fraction equals 2
therefore space space space Molecular space formula space of space hydrazine space equals space space left parenthesis Empirical space formula right parenthesis subscript straight n
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 equals left parenthesis NH subscript 2 right parenthesis subscript 2
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 equals space straight N subscript 2 straight H subscript 4
space space space space space space space space space space space space space space space space space space space space space space space
space
    Question 161
    CBSEENCH11005046

    Naphthalene (moth balls) contains 93·71% carbon and 6·29% hydrogen. If its molar mass is 128 g mol–1, calculate its molecular formula.

    Solution
    (i) To calculate the empirical formula:

    (ii) To calculate the molecular formula:
    Empirical formual mass space space left parenthesis straight C subscript 5 straight H subscript 4 right parenthesis space equals space 5 cross times 12 plus 4 cross times 1 space equals space 64 straight g space mol to the power of negative 1 end exponent
         Molar space mass space equals space 128 space straight g space mol to the power of negative 1 end exponent                                     [given]
                                    space straight n equals fraction numerator Molar space mass space of space napthalene over denominator Empirical space formula space mass end fraction equals fraction numerator 128 space straight g space mol to the power of negative 1 end exponent over denominator 64 space straight g space mol to the power of negative 1 end exponent end fraction space equals 2
    therefore Molecular formula of napthalene = left parenthesis Empirical space formula right parenthesis subscript straight n equals left parenthesis straight C subscript 5 straight H subscript 4 right parenthesis subscript 2
equals space straight C subscript 10 straight H subscript 8
    Question 162
    CBSEENCH11005047

    A welding fuel gas contains carbon and hydrogen only. Burning a small space of it in oxygen gives 3.38 g carbon dioxide, 0·690g of water and no other products. A volume of 10·0L (measured at STP) of this welding gas is found to weigh 11·6g. Calculate: (i) empirical formula (ii) molar mass of the gas and (iii) molecular formula.

    Solution

    i.1mole(44g) of CO2 contains 12g of carbon.

    3.38 g of CO2 will contain carbon  = (12g/44g) x3.38g =0.9217g

    18g of water contains 2g of hydrogen

    Therefore 0.690g of water will contain hydrogen=2g/18gx 0.690 =0.0767 g

    Since carbon and hydrogen are the only constituents of the compounds, the total mass of the compounds is:

    =0.9217+0.767

    =0.9984g

    Thus,

    Percent of C in the compound = (0.9217/.9984) x100 =92.32%

    Percent of H in the compound =(0.0767/0.9984) x100=7.68%

    Moles of carbon in the compound =92.32/12.00 =7.69

    Moles of hydrogen in the compound= 7.68/1=7.68

    Since, ration of carbon to hydrogen in the compound=7.69:7.68=1:1

    Hence, the empirical formula of the gas is CH.

    ii) Given,

    Weight of 10.0L of the gas (at S.T.P)=11.6 g

     Therefore, weight of 22.4L of gas at STP  =(11.6/10.0L) x22.4L

         =25.984g

    Hence, the molar mass of the gas is 26.0 g.

    iii) Empirical formula mass of CH =12+1 =13g

    n= molar mass of gas/empirical formula mass of gas

    n=26/13

    n=2

    Therefore, molecular formula of gas= (CH)n­

    =C2H2

     

     

    Question 163
    CBSEENCH11005048

    Butyric acid contains only C, H and O, 4.24mg sample of butyric acid is completely burnt. It gives 8.45mg of carbon dioxide and 3.46mg of water. What is the mass percentage of each element in butyric acid?

    Solution
    To calculate the mass percentage of C.
                                                      CO subscript 2 identical to straight C
                                                  44 space mg space identical to space 12 space mg
                     44 space mg space CO subscript 2 space contains space straight C space equals space 12 space mg
    therefore space space space space 8.45 space CO subscript 2 space would space contain space straight C space equals space 12 over 44 cross times 8.45 space equals space 2.304 space mg
                                percent sign space age space of space straight C space equals space fraction numerator 2.304 over denominator 4.24 end fraction cross times 100 space equals space 54.30
    Percentage of H.
                                           straight H subscript 2 straight O space identical to space 2 straight H
18 space mg space identical to space 2 space mg
             therefore space space space 3.46 space mg space straight H subscript 2 straight O space would space contain space straight H space equals space 2 over 18 cross times 3.46 space equals space 0.38 space mg
                                        percent sign space age space of space straight H space equals space fraction numerator 0.384 over denominator 4.24 end fraction cross times 100 space equals space 9.06 percent sign
    Percentage of O.
                   percent sign space age space of space straight O space equals space 100 space minus left parenthesis percent sign age space of space straight C space plus space percent sign space age space of space straight H right parenthesis
space space space space space space space space space space space space space space space space space equals space 100 minus left parenthesis 54.30 plus 9.06 right parenthesis space equals space 36.64
    Question 164
    CBSEENCH11005049
    Question 165
    CBSEENCH11005050

    The molecular mass of butryic acid was determined by experiment to be 88 amu. what is the molecular formula?

    Solution
    To calculate the molecular formula. Empirical formula mass (C2H4O)
                                          equals space 2 cross times 12 plus 4 cross times 1 plus 1 cross times 16
equals space 44 space amu.
    Molecular mass = 88 amu                   [given]
    Hence,       straight n equals fraction numerator Molecular space mass over denominator Empirical space formula space mass end fraction
                         equals space 88 over 44 equals 2
    therefore space space space Molecular space formula space of space the space compound
space space space space space space space space space space space space space space space space space space space equals left parenthesis Empirical space formula right parenthesis subscript straight n
space space space space space space space space space space space space space space space space space space space equals left parenthesis straight C subscript 2 straight H subscript 4 space straight O right parenthesis subscript 2
space space space space space space space space space space space space space space space space space space space equals straight C subscript 4 straight H subscript 8 straight O subscript 2 space
    Question 166
    CBSEENCH11005051

    What is a chemical equation? What are the essentials of a chemical equation?

    Solution
    Chemical equation is a symbolic representation of actual chemical change in terms of symbols and formulae of the reactants and products. The substances which react among themselves are called reactants. These are written on left hand side of the equation. The substances formed during the chemical change are called products. These are written on the right hand side of the equation. For example, reaction between zinc and hydrochloric acid to form zinc chloride and hydrogen can be represented by a chemical equation.     
                Zn space plus space 2 HCl space rightwards arrow space space space ZnCl subscript 2 plus straight H subscript 2.
    Essentials of a chemical equation.A chemical equation must satisfy the following conditions:
    (i) It should represent a true chemical change i.e. the change represented by the chemical equation should be practically possible.
    For example, the equation
    Cu plus straight H subscript 2 SO subscript 4 space rightwards arrow space space space space CuSO subscript 4 plus straight H subscript 2
    is not a true chemical equation since copper does not react with sulphuric acid to produce copper sulphate and hydrogen.
    (ii) It should be arithmetically balanced. 
    Atoms of each element on both the sides of the arrow left parenthesis rightwards arrow right parenthesis must be equal. For example,
       Zn plus straight H subscript 2 SO subscript 4 space rightwards arrow space space space ZnSO subscript 4 plus straight H subscript 2
    is an arithmetically balanced equation.
    (iii) It should be molecular. If any elementary gas takes part in a chemical equation it must be expressed in the molecular form e.g.
    2 KClO subscript 3 space space rightwards arrow space space 2 KCl plus space 3 straight O subscript 2
    Question 167
    CBSEENCH11005052

    What are the implications of a chemical equation?
    Or
    What informations are conveyed by a chemical equation?

    Solution

    A chemical equation gives a lot of information viz.,
    1. It tells the names of the reactants and products.
    2. It tells the relative number of molecules of reactants and products.
    3. It tells the relative number of moles of reactants and the products.
    4. It tells the relative weights of reactants and the products.
    5. It tells the relative volumes of reacting gases and those of products formed in case of gaseous reactants. For example, the chemical equation.
    Zn with 65 below space plus space stack 2 HCl with stack 2 left parenthesis 1 plus 35.5 right parenthesis with equals space 73 below below space rightwards arrow space stack ZnCl subscript 2 with stack 65 plus 2 cross times 35.5 with equals 136 below below space plus space stack straight H subscript 2 with 2 below

    conveys the following information:
    1. Zinc reacts with hydrochloric acid to produce zinc chloride and hydrogen.
    2. One atom of zinc reacts with two molecules of hydrogen chloride to produce one molecule of zinc chloride and one molecule of hydrogen.
    3. One mole of zinc reacts with two moles of hydrogen chloride to produce one mole of zinc chloride and one mole of hydrogen.
    4. 65 gram of zinc reacts with 73 gram of hydrochloric acid to give 136 gram of zinc chloride and 2 gram of hydrogen.
    5. 22·4 litres of hydrogen is produced at S.T.P. when one mole of zinc reacts with 2 moles of hydrogen chloride.

    Question 168
    CBSEENCH11005053

    What are the limitations or drawbacks of a chemical equation?

    Solution

    A chemical equation does not give any information regarding:
    1. The physical states of the reactants and the products, whether these are solids, liquids, gases or in the form of solution.
    2. In case of solution, their concentration i.e. whether concentrated or dilute.
    3. The time taken for the completion of the reaction.
    4. Whether any heat is absorbed or given out during the chemical change.
    5. The speed of a chemical reaction, whether it is slow or fast.
    6. The conditions of temperature, pressure or catalyst etc. at which the reaction takes place.

    Question 169
    CBSEENCH11005054

    How can we make a chemical equation more informative?
    Or
    How can we remove the drawbacks or limitations of a chemical equation?

    Solution

    The drawbacks of a chemical equation can be partially removed or we can make a chemical equation more informative as follows:
    1. By specifying the physical states of the reactants and products in a chemical equation by putting the letter (s) for solid, (l) for liquid and (g) for gaseous state after the formula of the substance. The word (aq), which means aqueous solution, is used when the substance is in the form of solution, For example, reaction between sodium and water to form sodium hydroxide solution and hydrogen gas may be written as:
    2 Na left parenthesis straight s right parenthesis plus 2 straight H subscript 2 straight O left parenthesis straight l right parenthesis space rightwards arrow space space space 2 NaOH left parenthesis aq right parenthesis space plus space straight H subscript 2 left parenthesis straight g right parenthesis
    2. The concentrations of the reactants used in the form of solution can be shown by the word dil. for dilute and conc. for concentrated e.g.
    Zn left parenthesis straight s right parenthesis plus straight H subscript 2 SO subscript 4 left parenthesis dil right parenthesis space rightwards arrow space ZnSO subscript 4 left parenthesis aq right parenthesis space plus space straight H subscript 2 left parenthesis straight g right parenthesis
    3. By using a down arrow open parentheses downwards arrow close parentheses for the compound precipitated and an upward arrow open parentheses upwards arrow close parentheses for a gas evolved. For example,
    (i) Evolution of hydrogen gas.
     2 Na left parenthesis straight s right parenthesis plus 2 straight H subscript 2 straight O left parenthesis straight l right parenthesis space space rightwards arrow space space 2 NaOH left parenthesis aq right parenthesis plus space straight H subscript 2 space upwards arrow
    (ii) Precipitation of AgCl.
      NaCl left parenthesis aq right parenthesis plus AgNO subscript 3 left parenthesis aq right parenthesis space space rightwards arrow space space AgCl space downwards arrow plus space NaNO subscript 3 left parenthesis aq. right parenthesis
    4. By mentioning the condition of reaction such as heat (), pressure, catalyst on the arrow head.
     2 KClO subscript 3 left parenthesis straight s right parenthesis space rightwards arrow from MnO subscript 2 to increment of space 2 KCl left parenthesis straight s right parenthesis plus 3 straight O subscript 2 left parenthesis straight g right parenthesis
    5. In case of exothermic reactions, the sign "+ heat" is written along with the products.
        straight C left parenthesis straight s right parenthesis plus straight O subscript 2 left parenthesis straight g right parenthesis space rightwards arrow space CO subscript 2 left parenthesis straight g right parenthesis plus space heat with left parenthesis Exothermic right parenthesis below
    In case of enodthermic reactions, the sign "-heat" is written along with products. 
    straight N subscript 2 left parenthesis straight g right parenthesis plus space straight O subscript 2 left parenthesis straight g right parenthesis space rightwards arrow space space 2 NO left parenthesis straight g right parenthesis space minus space heat

    Question 171
    CBSEENCH11005056

    Explain the following terms with examples:
    1. Skeleton equation
    2. Balanced equation
    3. Thermochemical equation.

    Solution
    1. Skeleton equation. It is an equation in which reactants and products are expressed in terms of symbols and formulae but the number of atoms of various elements on both the sides of the arrow open parentheses rightwards arrow close parentheses may or may not be equal.
    For example, consider the reaction of cupric oxide with ammonia to produce copper, nitrogen and water. The skeleton equation is
     CuO plus NH subscript 3 space rightwards arrow space Cu plus straight N subscript 2 plus straight H subscript 2 straight O
    2. Balanced equation. It is a chemical equation representing a true chemical change in which the number of atoms of various elements on both the sides of the arrow open parentheses rightwards arrow close parentheses space are space equal. space For example, balanced equation representing the reaction between cupric oxide and ammonia is
      3 CuO plus 2 NH subscript 3 space rightwards arrow space 3 Cu plus straight N subscript 2 plus 3 straight H subscript 2 straight O
    3. Thermochemical equation. A chemical equation which includes the heat changes taking place during the reaction is called thermochemical equation.
    straight C left parenthesis straight s right parenthesis plus straight O subscript 2 left parenthesis straight g right parenthesis space rightwards arrow space space space CO subscript 2 left parenthesis straight g right parenthesis plus 393.5 space kJ
straight N subscript 2 left parenthesis straight g right parenthesis plus straight O subscript 2 left parenthesis straight g right parenthesis space rightwards arrow space space 2 NO left parenthesis straight g right parenthesis space minus space 180 space kJ
    Question 172
    CBSEENCH11005057

    What do you mean by 'balancing a chemical equation'? On what principle the balancing of a chemical equation is based?

    Solution
    When the number of atoms of each element are same on both the sides of an equation, it is called a balanced chemical equation. The principle on which the balancing of a chemical equation is based is ‘Law of Conservation of mass’ or Law of Industructibility of matter, which states: Matter can neither be created nor destroyed in any physical or chemical change. Hence, atom that takes part in a chemical reaction can neither be created nor destroyed. Therefore, in a chemical reaction atoms of each element on both the sides of the arrow open parentheses rightwards arrow close parentheses must be equal.
    For example,
        space space space Cu plus 2 straight H subscript 2 SO subscript 4 space rightwards arrow space space CuSO subscript 4 plus SO subscript 2 plus 2 straight H subscript 2 straight O
    Question 173
    CBSEENCH11005058

    How are chemical equations balanced? discuss any two.

    Solution

    The methods generally used for balancing equations are:
    1. The hit and trial method
    2. Partial equation method
    3. Oxidation number change method
    4. Ion- electron method.

    1. The hit and trial method: This method is used to balance simple equations. This method involves the following steps:
    (i) Write the symbols and formulae of the reactants and products in the form of skeleton equation.
    (ii) Select the element which occurs at the minimum number of places on the two sides. Make number of its atoms equal on both the sides of the equation by multiplying the formula by a suitable number.
    (iii) The element which occurs at maximum number of places should be balanced last of all.
    (iv) Balance the atoms of elementary gases last of all.
    (v) When all the atoms are balanced, make the equation molecular by multiplying the equation by a suitable number.

    2. Partial equation method: This method is used for balancing complicated equations. This method involves the following steps:
    (i) Split the chemical equation into two or more stages.
    (ii) Write simple equation for different stages and balance by hit and trial method. These equations are called partial equations.
    (iii) All the step-wise equations (partial equations) are added to get the balanced equation.

    Question 174
    CBSEENCH11005059

    Balance the following equations:
    1. space space space straight H subscript 3 PO subscript 3 space space space rightwards arrow space space space space straight H subscript 3 PO subscript 4 plus PH subscript 3
2. space space space Ca plus straight H subscript 2 straight O space space rightwards arrow space space Ca left parenthesis OH right parenthesis subscript 2 plus straight H subscript 2

    Solution
    1. space straight H subscript 3 PO subscript 3 space space rightwards arrow space space space straight H subscript 3 PO subscript 4 plus PH subscript 3
    P occurs at maximum places and should be balanced last of all.
    (i) To balance O atom, multiply H3PO4 by 4 and H3PO4 by 3.
    4 straight H subscript 3 PO subscript 3 space rightwards arrow space space space space 3 straight H subscript 3 PO subscript 4 plus PH subscript 3
    (ii) P and H atoms are automatically balanced.
    therefore space space space space Balanced space equation space is
space space space space space space space space space space space space space space space 4 straight H subscript 3 PO subscript 3 space space space rightwards arrow space space space space 3 straight H subscript 3 PO subscript 4 plus PH subscript 3
    2. space Ca plus straight H subscript 2 straight O space rightwards arrow space Ca left parenthesis OH right parenthesis subscript 2 plus straight H subscript 2
left parenthesis straight i right parenthesis space To space balance space straight O space atoms comma space multiply space straight H subscript 2 straight O space by space 2.
space space space space Ca plus 2 straight H subscript 2 straight O space space space rightwards arrow space space space Ca left parenthesis OH right parenthesis subscript 2 plus straight H subscript 2
left parenthesis ii right parenthesis space Ca space and space straight H space are space automatically space balanced.
therefore space space space Balanced space equation space is
space space space space space space Ca plus 2 straight H subscript 2 straight O space space rightwards arrow space space space Ca left parenthesis OH right parenthesis subscript 2 plus straight H subscript 2
    Question 175
    CBSEENCH11005060

    Translate the following equations into the language of chemistry and balance by hit and trial method:
    Magnesium nitride + Water  rightwards arrow   Magnesium hydroxide + Ammonia

    Solution
    (i) The skeleton equation may be written as
    Mg subscript 3 straight N subscript 2 plus straight H subscript 2 straight O space space rightwards arrow space space Mg left parenthesis OH right parenthesis subscript 2 plus NH subscript 3
    (ii) To equalise the number of Mg atoms, multiply the molecule Mg(OH)2 by 3.
     Mg subscript 3 straight N subscript 2 plus straight H subscript 2 straight O space rightwards arrow space 3 Mg left parenthesis OH right parenthesis subscript 2 plus NH subscript 3
    (iii) To balance the nitrogen atoms, multiply the molecule NH3 by 2.
    MgN subscript 2 plus straight H subscript 2 straight O space rightwards arrow space space 3 Mg left parenthesis OH right parenthesis subscript 2 plus 2 NH subscript 3
    (iv) To equalise the number of H and O atoms on both the sides of the above equation, multiply HO by 6.
    Mg subscript 3 straight N subscript 2 plus 6 straight H subscript 2 straight O space rightwards arrow space space space stack 3 Mg left parenthesis OH right parenthesis subscript 2 plus 2 NH subscript 3 with left square bracket Balanced space equation right square bracket below
    Question 176
    CBSEENCH11005061

    Balance the following skeleton equation by hit and trial method:
    Fe subscript 3 straight O subscript 4 plus straight H subscript 2 space rightwards arrow space Fe plus straight H subscript 2 straight O

    Solution
    (i) The skeleton equation in the atomic form may be written as
    Fe subscript 3 straight O subscript 4 plus straight H space rightwards arrow space Fe plus space straight H subscript 2 straight O
    (ii) To equalise the number of atoms of Fe and O on both side, multiply Fe by 3 and the molecule H2O by 4.
    Fe subscript 3 straight O subscript 3 plus straight H space rightwards arrow space 3 Fe plus 4 straight H subscript 2 straight O
    (iii) To equalise hydrogen atom, multiply H atom by 8 on L.H.S.
    Fe subscript 3 straight O subscript 4 plus 8 straight H space rightwards arrow space 3 Fe plus 4 straight H subscript 2 straight O
    (iv) Making the equation molecular to get the balanced equation,
    Fe subscript 3 straight O subscript 4 plus 4 straight H subscript 2 space rightwards arrow space 3 Fe plus 4 straight H subscript 2 straight O
    Question 177
    CBSEENCH11005062

    Balance the following skeleton equation by hit and trial method:
    Fe subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 plus space NH subscript 3 plus straight H subscript 2 straight O space rightwards arrow space space space Fe left parenthesis OH right parenthesis subscript 3 plus left parenthesis NH subscript 4 right parenthesis subscript 2 SO subscript 4

    Solution
    (i) The skeleton equation is
    Fe subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 plus space NH subscript 3 plus straight H subscript 2 straight O space rightwards arrow space space space Fe left parenthesis OH right parenthesis subscript 3 plus left parenthesis NH subscript 4 right parenthesis subscript 2 SO subscript 4
    (ii) To balance Fe atoms, multiply Fe(OH)by 2.
    Fe subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 plus NH subscript 3 plus straight H subscript 2 straight O space rightwards arrow space space 2 Fe left parenthesis OH right parenthesis subscript 3 plus space left parenthesis NH subscript 4 right parenthesis subscript 2 SO subscript 4
    (iii) To balance S atoms, multiply (NH4)2SOby 3.
    Fe subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 plus NH subscript 3 plus straight H subscript 2 straight O space space rightwards arrow space space space space 2 Fe left parenthesis OH right parenthesis subscript 3 plus 3 left parenthesis NH subscript 4 right parenthesis subscript 2 SO subscript 4
    (iv) To balance N atoms, multiply NHby 6.
    Fe subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 plus 6 NH subscript 3 plus straight H subscript 2 straight O space space rightwards arrow space space space space 2 Fe left parenthesis OH right parenthesis subscript 3 plus 3 left parenthesis NH subscript 4 right parenthesis subscript 2 SO subscript 4
    (v) To balance H and O atoms, multiplyng H2O by 6, we get.
    Fe subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 plus 6 NH subscript 3 plus 6 straight H subscript 2 straight O space rightwards arrow space space 2 Fe left parenthesis OH right parenthesis subscript 3 plus 3 left parenthesis NH subscript 4 right parenthesis subscript 2 SO subscript 4
    This is the balanced equation. 
    Question 178
    CBSEENCH11005063

    Balance the following skeleton equation:

    NH subscript 3 NI subscript 3 space rightwards arrow space space straight N subscript 2 plus straight I subscript 2 plus NH subscript 4 straight I

    Solution

    (i) Skeleton equation is
    NH subscript 3 NI subscript 3 space space space rightwards arrow space space space space straight N subscript 2 plus straight I subscript 2 plus NH subscript 4 straight I
    (ii) Change the equation into atomic form.
    NH subscript 3 NI subscript 3 space rightwards arrow space straight N plus straight I plus NH subscript 4 straight I
    (iii) To balance H atoms, multiply NH3NI3 by 4 and NH4I by 3.
    4 NH subscript 3 NI subscript 3 space space rightwards arrow space space space space straight N plus straight I plus 3 NH subscript 4 straight I
    (iv) To balance I atoms, multiply I by 9 on the R.H.S.
    4 NH subscript 3 NI subscript 3 space rightwards arrow space straight N plus 9 straight I plus 3 NH subscript 4 straight I
    (V) To balance N atoms, multiply N by 5 on the R.H.S.
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    (vi) Change the elementary gases into molecular form, by multiplying the equation by 2
    8 NH subscript 3 NI subscript 3 space rightwards arrow space space 5 straight N subscript 2 plus 9 straight I subscript 2 plus 6 NH subscript 4 straight I

     

    Question 179
    CBSEENCH11005064

    Balance the following skeleton equation:

    KMnO subscript 4 plus HCl space rightwards arrow space KCl plus MnCl subscript 2 plus straight H subscript 2 straight O plus Cl subscript 2

    Solution

    (i) Skeleton equation is
    KMnO subscript 4 plus HCl space rightwards arrow space KCl plus MnCl subscript 2 plus straight H subscript 2 straight O plus Cl subscript 2
    (ii) Change the equation into atomic form.
    KMnO subscript 4 plus HCl space rightwards arrow space KCl plus MnCl subscript 2 plus straight H subscript 2 straight O plus Cl
    (iii) To balance the number of oxygen atoms on both sides, multiply H2O by 4.
    KMnO subscript 4 plus HCl space rightwards arrow space KCl plus MnCl subscript 2 plus 4 straight H subscript 2 straight O space plus space Cl
    (iv) To balance hydrogen atoms on both sides, multiply the molecules of HCl by 8.
    KMnO subscript 4 plus 8 HCl space rightwards arrow space space KCl plus MnCl subscript 2 plus 4 straight H subscript 2 straight O plus Cl
    (v) To balance chlorine atoms on both sides, multiply the chlorine atom on the R.H.S. by 5.
    KMnO subscript 4 plus 8 HCl space rightwards arrow space KCl space plus space MnCl subscript 2 plus space 4 straight H subscript 2 straight O space plus space 5 Cl
    (vi) Change the elementary gases into molecular form, by multiplying the equation by 2.
    2 KMnO subscript 4 plus 16 HCl space rightwards arrow space 2 KCl plus 2 MnCl subscript 2 plus 8 straight H subscript 2 straight O plus 5 Cl subscript 2
    This is a balanced equation. 

    Question 180
    CBSEENCH11005065

    Balance the given skeletion equation straight P subscript 4 plus HNO subscript 3 space rightwards arrow space space straight H subscript 3 PO subscript 4 plus NO subscript 2 plus straight H subscript 2 straight O by partial equation method.

    Solution

    It involves the following steps:
    (i) Nitric acid decomposes to liberate nascent oxygen.
    2 HNO subscript 3 space rightwards arrow space space 2 NO subscript 2 plus straight H subscript 2 straight O space plus straight O                     ...(1)
    (ii) Nascent oxygen reacts with phosphorus to form phosphorus pentoxide.
    straight P subscript 4 plus straight O space rightwards arrow space space straight P subscript 2 straight O subscript 5                            ...(2)
    (iii) straight P subscript 2 straight O subscript 5 dissolves in water to form phosphoric acid.
    straight P subscript 2 straight O subscript 5 plus straight H subscript 2 straight O space rightwards arrow space straight H subscript 3 PO subscript 4                    ...(3)
    Balancing the partial equations by hit and trial methods,
                           2 HNO subscript 3 space space rightwards arrow space space space 2 NO subscript 2 plus straight H subscript 2 straight O space plus straight O space space space space space space space space... left parenthesis 4 right parenthesis
              straight P subscript 4 plus 10 straight O space rightwards arrow space space 2 straight P subscript 2 straight O subscript 5                                   ...(5)
        straight P subscript 2 straight O subscript 5 plus 3 straight H subscript 2 straight O space rightwards arrow space 2 straight H subscript 3 PO subscript 4                                  ...
    (6)
    Multiplying the partial equations (4) and (6) by 10 and 2 respectively and adding all the three equations, we have,
         open square brackets 2 HNO subscript 3 space rightwards arrow space space 2 NO subscript 2 plus straight H subscript 2 straight O space plus straight O close square brackets space cross times space 10
straight P subscript 4 plus 10 straight O space rightwards arrow space space 2 straight P subscript 2 straight O subscript 5
open square brackets straight P subscript 2 straight O subscript 5 plus 3 straight H subscript 2 straight O space space rightwards arrow space space space space 2 straight H subscript 3 PO subscript 4 close square brackets space cross times space 2
__________________________________
straight P subscript 4 plus 20 HNO subscript 3 space rightwards arrow space 4 straight H subscript 3 PO subscript 4 plus 20 NO subscript 2 plus 4 straight H subscript 2 straight O

    Question 181
    CBSEENCH11005066

    Balance the following equation by partial equation method:
    KMnO subscript 4 plus straight H subscript 2 SO subscript 4 plus FeSO subscript 4 space rightwards arrow space space space straight K subscript 2 SO subscript 4 plus MnSO subscript 4 plus straight H subscript 2 straight O plus Fe subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3

    Solution
    It involves the following steps:
    (i) Reaction between KMnO subscript 4 space and space straight H subscript 2 SO subscript 4.
        2 KMnO subscript 4 plus 3 straight H subscript 2 SO subscript 4 space rightwards arrow space space straight H subscript 2 SO subscript 4 plus 2 MnSO subscript 4 plus 3 straight H subscript 2 straight O plus 5 straight O space... left parenthesis 1 right parenthesis
    (ii) FeSO subscript 4 space gets space oxidised space to space Fe subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3.
    2 FeSO subscript 4 plus straight O plus straight H subscript 2 SO subscript 4 space rightwards arrow space space Fe subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 plus straight H subscript 2 straight O space space space... left parenthesis 2 right parenthesis
    Multiplying (2) by 5 and adding the equations,
            2 KMnO subscript 4 plus 3 straight H subscript 2 SO subscript 4 space rightwards arrow space straight K subscript 2 SO subscript 4 plus 2 MnSO subscript 4 plus 3 straight H subscript 2 straight O plus 5 straight O
    open square brackets 2 FeSO subscript 4 plus straight O plus straight H subscript 2 SO subscript 4 space rightwards arrow space space Fe subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 plus straight H subscript 2 straight O close square brackets cross times 5
    2 KMnO subscript 4 plus 8 straight H subscript 2 SO subscript 4 plus 10 FeSO subscript 4 space rightwards arrow space straight K subscript 2 SO subscript 4 plus 2 MnSO subscript 4 plus Fe subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 plus 8 straight H subscript 2 straight O
    Question 182
    CBSEENCH11005067

    Balance the following equation by partial equation method:
    Cu plus HNO subscript 3 space rightwards arrow space Cu left parenthesis NO subscript 3 right parenthesis subscript 2 plus NO subscript 2 plus straight H subscript 2 straight O


    Solution
    It involves the following steps:
    (i) Nitric acid decomposes to liberate nascent oxygen.
    2 HNO subscript 3 space rightwards arrow space 2 NO subscript 2 plus straight H subscript 2 straight O plus straight O               ...(1)
    (ii) Nascent oxygen reacts with copper to form cupric oxide.
    Cu plus straight O space rightwards arrow space CuO    ...(2)
    (iii) Cupric oxide combines with nitric acid to form cupric nitrate.
    CuO plus 2 HNO subscript 3 space rightwards arrow space Cu left parenthesis NO subscript 3 right parenthesis subscript 2 plus straight H subscript 2 straight O               ...(3)
    Adding all the partial equation (1), (2) and (3), we get the balanced equation as
    Cu plus 4 HNO subscript 3 space rightwards arrow space space Cu left parenthesis NO subscript 3 right parenthesis subscript 2 plus 2 NO subscript 2 plus 2 straight H subscript 2 straight O
    Question 183
    CBSEENCH11005068

    Balance the given skeletion equation KMnO subscript 4 space plus space straight H subscript 2 SO subscript 4 space plus space left parenthesis COOH right parenthesis subscript 2 space space rightwards arrow space space straight K subscript 2 SO subscript 4 plus MnSO subscript 4 plus straight H subscript 2 straight O plus CO subscript 2 by partial equation method.

    Solution

     It involves the following steps:
    (i) Reaction between KMnO4 and H2SO4 to liberate nascent oxygen.2 KMnO subscript 4 plus 3 straight H subscript 2 SO subscript 4 space rightwards arrow space space space straight K subscript 2 SO subscript 4 plus 2 MnSO subscript 4 space plus 3 straight H subscript 2 straight O space plus 5 straight O                      ...(1)
    (ii) Oxalic acid is oxidised to CO2 and water by the nascent oxygen.
    open parentheses COOH close parentheses subscript 2 plus straight O space rightwards arrow space 2 CO subscript 2 plus 2 straight H subscript 2 straight O                           ...(2)
    Multiplying equation (2) by 5 and adding partial equations,
    text 2KMnO end text subscript 4 plus 3 straight H subscript 2 SO subscript 4 space rightwards arrow space space straight K subscript 2 SO subscript 4 plus 2 MnSO subscript 4 plus 3 straight H subscript 2 straight O plus 5 straight O
open square brackets open parentheses COOH close parentheses subscript 2 plus straight O space rightwards arrow space space space 2 CO subscript 2 plus 2 straight H subscript 2 straight O close square brackets cross times 5
__________________________________________________
2 KMnO subscript 4 plus 3 straight H subscript 2 SO subscript 4 plus 5 left parenthesis COOH right parenthesis subscript 2 space rightwards arrow space space space straight K subscript 2 SO subscript 4
space space space space space space space space space space space space space space space space space space space space space plus 2 MnSO subscript 4 plus 10 CO subscript 2 plus 8 straight H subscript 2 straight O

    Question 184
    CBSEENCH11005069

    Balance the given skeleton equation by partial equation method:

    NaOH space plus Cl subscript 2 space rightwards arrow space space NaCl plus NaClO subscript 3 plus straight H subscript 2 straight O

    Solution

    It involves the following steps:
    (i) Chlorine reacts with water to form hydrochloric acid and hypochlorous acid.
         Cl subscript 2 plus straight H subscript 2 straight O space space space rightwards arrow space space space space space HCl space plus space HClO            ...(1)
    (ii) Hydrochloric acid then reacts with sodium hydroxide to give sodium chloride and water.
    HCl plus NaOH space rightwards arrow space space space NaCl space plus space straight H subscript 2 straight O                ...(2)
    (iii) Hypochlorous acid reacts with sodium hydroxide to give sodium hypochlorite and water.
    HClO plus NaOH space rightwards arrow space space space NaClO plus straight H subscript 2 straight O               ...(3)
    (iv) Sodium hypochlorite decomposes to give sodium chlorate.
    3 NaClO space rightwards arrow space space space NaClO subscript 3 plus 2 NaCl space space space space space space space space... left parenthesis 4 right parenthesis
    Multiply the partial equations (1), (2) and (3) by 3 and add all the four equations.
    space space open square brackets Cl subscript 2 plus straight H subscript 2 straight O space space space space rightwards arrow space space space space HCl space plus space HClO close square brackets space cross times space 3
open square brackets HCl plus NaOH space space rightwards arrow space space space space NaCl space plus straight H subscript 2 straight O close square brackets cross times 3
open square brackets HClO plus NaOH space rightwards arrow space space NaClO space plus straight H subscript 2 straight O close square brackets cross times 3
space space space space space space space space space space space space 3 NaClO space space rightwards arrow space space NaClO subscript 3 plus 2 NaCl
_____________________________________
3 Cl subscript 2 plus 6 NaOH space space space rightwards arrow space 5 NaCl plus NaClO subscript 3 plus 3 straight H subscript 2 straight O

    Question 185
    CBSEENCH11005070

    Balance the following equations by partial equation methods:

     left parenthesis straight i right parenthesis space Hg plus HNO subscript 3 space rightwards arrow space Hg subscript 2 left parenthesis NO subscript 3 right parenthesis subscript 2 plus NO plus straight H subscript 2 straight O

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    Solution
    left parenthesis straight i right parenthesis space 2 HNO subscript 3 space rightwards arrow space space straight H subscript 2 straight O plus space 2 NO subscript 2 plus 3 straight O
                                                           ...(1)
         2 Hg space plus straight O space rightwards arrow space space space space Hg subscript 2 straight O                    ...(2)
    Hg subscript 2 straight O plus 2 HNO subscript 3 space rightwards arrow space space Hg subscript 2 left parenthesis NO subscript 3 right parenthesis subscript 2 plus straight H subscript 2 straight O space space space... left parenthesis 3 right parenthesis
    Multiply equations (2) and (3) by 3 and add all the three equations.
                       2 HNO subscript 3 space space rightwards arrow space space space straight H subscript 2 straight O plus space 2 NO subscript 2 plus space 3 straight O
space space open square brackets 2 Hg space plus straight O space space rightwards arrow space space space space Hg subscript 2 straight O close square brackets cross times 3
left square bracket Hg subscript 2 straight O space plus space 2 HNO subscript 3 space rightwards arrow space space space Hg subscript 2 left parenthesis NO subscript 3 right parenthesis subscript 2 plus straight H subscript 2 straight O right square bracket space cross times space 3
____________________________________________
6 Hg plus space 8 HNO subscript 3 space rightwards arrow space 3 Hg subscript 2 left parenthesis NO subscript 3 right parenthesis subscript 2 space plus space 4 straight H subscript 2 straight O plus 2 NO
    (ii) straight K subscript 2 Cr subscript 2 straight O subscript 7 plus 4 straight H subscript 2 SO subscript 4 space rightwards arrow space space straight K subscript 2 SO subscript 4 space plus Cr subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 plus 4 straight H subscript 2 straight O plus space 3 left square bracket straight O right square bracket space space space... left parenthesis 1 right parenthesis
        SO subscript 2 plus straight O subscript 2 plus straight H subscript 2 straight O space rightwards arrow space straight H subscript 2 SO subscript 4                       ...(2)
    Multiplying equation (2) by 3 and add the two equations
    straight K subscript 2 Cr subscript 2 straight O subscript 7 plus 4 straight H subscript 2 SO subscript 4 space rightwards arrow space space space straight K subscript 2 SO subscript 4 plus space Cr subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 space plus 4 straight H subscript 2 straight O space plus 3 left square bracket straight O right square bracket
SO subscript 2 plus straight O plus straight H subscript 2 straight O space rightwards arrow space space straight H subscript 2 SO subscript 4 right square bracket space cross times space 3
_____________________________________________
straight K subscript 2 Cr subscript 2 straight O subscript 7 plus straight H subscript 2 SO subscript 4 plus 3 SO subscript 2 space rightwards arrow space space space space straight K subscript 2 SO subscript 4 space plus Cr subscript 2 left parenthesis SO subscript 4 right parenthesis subscript 3 plus straight H subscript 2 straight O
    Question 186
    CBSEENCH11005071

    Balance the following equations:
    straight S subscript 8 plus straight H subscript 2 SO subscript 4 space space rightwards arrow space space space SO subscript 2 plus straight H subscript 2 straight O


    Solution
    space space space straight H subscript 2 SO subscript 4 space rightwards arrow space space space straight H subscript 2 straight O space plus space SO subscript 2 plus left parenthesis straight O right parenthesis space space... left parenthesis 1 right parenthesis
    straight S subscript 8 plus 16 left parenthesis straight O right parenthesis space space rightwards arrow space space 8 SO subscript 2               ...(2)
    Multiplying equation (1) by 16 and add the two equations.
    open square brackets straight H subscript 2 SO subscript 4 rightwards arrow straight H subscript 2 straight O plus SO subscript 2 plus left parenthesis straight O right parenthesis close square brackets space cross times space 16
    straight S subscript 8 plus 16 left parenthesis straight O right parenthesis space rightwards arrow space space 8 SO subscript 2
    ---------------------------------------------
    straight S subscript 8 plus 16 straight H subscript 2 SO subscript 4 space rightwards arrow space space 16 straight H subscript 2 straight O space plus 24 space SO subscript 2

    Question 187
    CBSEENCH11005072

    Balance the following equations:

    straight I subscript 2 plus HNO subscript 3 space rightwards arrow space space NO subscript 2 plus HIO subscript 3 plus straight H subscript 2 straight O


    Solution
    2 HNO subscript 3 space rightwards arrow space space space space straight H subscript 2 straight O space plus 2 NO subscript 2 plus left parenthesis straight O right parenthesis                          ...(1)
                straight I subscript 2 plus 5 left parenthesis straight O right parenthesis space space rightwards arrow space space space straight I subscript 2 straight O subscript 5                                  ...(2)
         straight I subscript 2 straight O subscript 5 plus straight H subscript 2 straight O space rightwards arrow space space 2 HIO subscript 3                                    ...(3)
    Multiplying equaton (1) by 5 and adding these three equations.
     open square brackets 2 HNO subscript 3 space rightwards arrow space straight H subscript 2 straight O space plus space 2 NO subscript 2 plus space left parenthesis straight O right parenthesis close square brackets cross times space 5
        straight I subscript 2 plus 5 left parenthesis straight O right parenthesis space rightwards arrow space space straight I subscript 2 straight O subscript 5
    straight I subscript 2 straight O subscript 5 plus straight H subscript 2 straight O space rightwards arrow space space space 2 HIO subscript 3
    ______________________________
    straight I subscript 2 plus 10 HNO subscript 3 space rightwards arrow space space space 4 straight H subscript 2 straight O space plus 10 NO subscript 2 plus 2 HIO subscript 3 
    Question 188
    CBSEENCH11005073

    Balance the following equations:

    Zn plus HNO subscript 3 space rightwards arrow space space space space Zn left parenthesis NO subscript 3 right parenthesis subscript 2 plus NH subscript 4 NO subscript 3 plus straight H subscript 2 straight O



    Solution
    Zn plus 2 HNO subscript 3 space rightwards arrow space space space Zn left parenthesis NO subscript 3 right parenthesis subscript 2 plus 2 straight H space space space... left parenthesis 1 right parenthesis
    HNO subscript 3 plus 8 straight H space rightwards arrow space space space NH subscript 3 plus 3 straight H subscript 2 straight O space space space space space... left parenthesis 2 right parenthesis
space space space space NH subscript 3 plus HNO subscript 3 space rightwards arrow space space space NH subscript 4 NO subscript 3 space space space space space... left parenthesis 3 right parenthesis
    Multiplying equation (1) by 4 and adding the three equations.
         space open square brackets Zn plus 2 HNO subscript 3 space rightwards arrow space Zn left parenthesis NO subscript 3 right parenthesis subscript 2 plus 2 straight H close square brackets space cross times space 4
space space space space space HNO subscript 3 plus 8 straight H space rightwards arrow space NH subscript 3 plus 3 straight H subscript 2 straight O
space space space space space space space NH subscript 3 plus HNO subscript 3 space rightwards arrow space space space NH subscript 4 NO subscript 3
    ____________________________________

    space 4 Zn plus 10 HNO subscript 3 space rightwards arrow space space 4 Zn left parenthesis NO subscript 3 right parenthesis subscript 2 plus 3 straight H subscript 2 straight O space plus space NH subscript 4 NO subscript 3
    Question 189
    CBSEENCH11005074

    How many types of problems are based on chemical equations?

    Solution

    The problems based on chemical equations are of three types:
    1. Involving mass-mass relationship.
    2. Involving mass-volume relationship.
    3. Involving volume-volume relationship.
    In order to solve the problems based on chemical equations, keep the following points in mind:
    1. Write down the balanced chemical equation.
    2. Write down the moles or gram atomic or gram molecular masses of the substances whose quantities are given or have to be found out. In case, there are two or more atoms or molecule of a substance, multiply the gram atomic or gram molecular mass or moles by the number of atoms or molecules.
    3. If the volume of a gas is involved in the equation, write down 22·4 litres at S.T.P. below the formula in place of gram molecular mass.
    4. Write down the actual quantities of the substances given. For the substances where weights/volumes have to be calculated, just write the sign of interrogation (?) for that.
    5. Calculate the result by unitary method.

    Question 190
    CBSEENCH11005075

    How many grams of barium sulphate are obtained when 26 g of barium chloride reacts with enough sulphuric acid? (Atomic mass of Ba = 137).

    Solution
    The balanced chemical equation representing the reaction is:
    BaCl2 + H2SO4   rightwards arrow     BaSO4downwards arrow + 2HCl
    1 mole                       1 mole
    137 + (2 x 35.5)           137 + 32 + (4 x 16) 
    208 g                                   233 g
    26 g                                         ?
    Stoichiometry indicates that 208 g BaCl2 gives 233 g BaSO4
             therefore           26 space straight g space BaCl subscript 2 space would space give space
                                              equals 233 over 208 cross times 26 space straight g space BaSO subscript 4
equals space 29.125 space straight g space BaSO subscript 4
    Question 191
    CBSEENCH11005076

    How many litres of oxygen at S.T.P. will be required to burn completely 2.2 g of propane?

    Solution
    The balanced chemical equation representing the reaction is
         C3H8  + 5O2       rightwards arrow     3CO2 + 4H2O
         1 mole    5 x 22.4L
           44 g         at STP
    Stoichiometry indicates that
     1 mole (44 g) propane
                           identical to space 5 space cross times space 22.4 space straight L space space space straight O subscript 2 space at space STP
    therefore space space 2.2 space straight g space propane space equals space fraction numerator 5 space cross times space 22.4 space cross times space 2.2 over denominator 44 end fraction litre space straight O subscript 2
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 equals 5.6 space litre space straight O subscript 2 space at space STP
    Question 192
    CBSEENCH11005077

    Calculate the amount of KClOneeded to supply sufficient oxygen for burning 112L CO gas at S.T.P.

    Solution

    The balanced chemical equations repersenting the reactions are:
                 2 KClO subscript 3 space stack rightwards arrow space with increment on top space 2 KCl space plus 3 straight O subscript 2
                  2CO + Orightwards arrow    2CO2
     
                2 moles
                  (2 x 22.4L at STP)
    Stoichiometry indicates that,
    2 space moles space CO space identical to space 1 space mole space straight O subscript 2 space identical to space 2 divided by 3 space mole space KClO subscript 3
    or   2 x 22.4 L  CO at S.T.P.
                        identical to 2 over 3 cross times left parenthesis 39 plus 35.5 plus 48 right parenthesis straight G
identical to 2 over 3 cross times 122.5 space straight g
therefore space space space 112 space straight L space CO space at space STP space identical to space 2 over 3 cross times fraction numerator 122.5 over denominator 2 space cross times space 22.4 end fraction cross times space 112
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 equals space 204.1666 space straight g space KClO subscript 3 space space space space space space space space space space space space space space space space space space space

    Question 193
    CBSEENCH11005078

    How many moles of oxygen can be obtained by the decomposition of 1 mole of potassium chlorate in the following reaction:

    2 KClO subscript 3 left parenthesis straight s right parenthesis space rightwards arrow space space space 2 KCl left parenthesis straight s right parenthesis space plus 3 straight O subscript 2 left parenthesis straight g right parenthesis

    How many moles of reactants are needed for obtaining 1 mole of oxygen?

    Solution
    Balanced equation is,
    2KClO3(s)  rightwards arrow   2KCl(s) + 3O2(g)
    2 moles                              3 moles
    Stoichiometry indicates that:
    2 moles KClO3 on decomposition give
                                      = 3 moles of oxygen
      therefore   1 mol KClO3 on decomposition would give
                                          equals space 3 over 2 space equals 1.5 space mole
    Again 3 moles of oxygen are produced from 2 moles of KClO3.
    therefore   1 mol oxygen is produced form 2 over 3 moles of KClO3 = 0.66 mol
    Question 194
    CBSEENCH11005079

    Gastric juice contains 3g HCl per litre. If a person produces 2.5 L of gastric juice per day, how many antacid tablets each containing 400 mg of Al(OH)3 are needed to neutralise all the HCl produced in one day?

    Solution
    Balanced equation.
    Al(OH)3    +   3HCl rightwards arrow   AlCl3 + 3H2O
    27+3(16+1)   3 x 36.5
    =78(g)             =109.5
    Mass of HCl produced per day = 3 x 2.5 = 7.5 g
    Stoichimetry indicates that 109.5 g HCl is neutralised by 78 g Al(OH)
    7.5 g HCl is neutralised by fraction numerator 78 over denominator 109.5 end fraction cross times 7.5
                                        equals 5.3424 space straight g space Al space left parenthesis OH right parenthesis subscript 3
    Now 400 mg or 400 over 1000 straight g space Al left parenthesis OH right parenthesis subscript 3 space equals space 1 space tablet
    therefore space space 5.3424 space straight g space Al space left parenthesis OH right parenthesis subscript 3 space equals space 1000 over 400 cross times 5.3424
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 equals space 13.356 space tablets
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 equals 13 space antacid space tablets. space space space space space space space space space space space space space
    Question 195
    CBSEENCH11005080

    Calculate the quantity of lime required to soften 60000 litres of well water containing 16.2 g of calcium carbonate per hundred litre.

    Solution
    Balanced equation is
    Ca(HCO3)2  + Ca(OH)2 rightwards arrow   2CaCO3 +2H2O
    (40+2+24+96)     (40+32+2)
      = 162 g                     = 74 g
     16.2 g                            ?
    (i) To calculate the weight of calcium bicarbonate present.
    Weight of calcium bicarbonate present in 100 litres of well water = 16.2 g, Now 100 L well water contains
                              = 16.2 g Ca(HCO3)2
    therefore 60000 L well water contains
                                   equals space fraction numerator 16.2 over denominator 100 end fraction cross times 60000
equals space 9720 space straight g space Ca left parenthesis HCO subscript 3 right parenthesis subscript 2
    (ii)  To calculate the quantity of lime required. Stoichiometry indicates that 162 g Ca(HCO3)requires 74 g Ca(OH)2
    therefore space space space 9720 space straight g space Ca left parenthesis HCO subscript 3 right parenthesis subscript 2 space require
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 equals 74 over 162 cross times 9820 space equals space 4440 space straight g space Ca left parenthesis OH right parenthesis subscript 2
    Question 196
    CBSEENCH11005081

    KBr (potassium bromide) contains 32·9% by weight of potassium. If 6·40 g of bromine reacts with 3·60 g of potassium, calculate the number of moles of potassium which combines with bromine to form KBr.

    Solution
    As KBr contains 32·9% by weight of potassium, this means that 32·9 g of K combines with (100 – 32·9) i.e. 67·1 g of bromine.
    because   67.1 g Br combines with 32.9 g K
    therefore 6.40 g Br will combine with fraction numerator 32.9 over denominator 67.1 end fraction cross times 6.40
                                equals space 3.138 space straight K
equals space fraction numerator 3.138 over denominator 39 end fraction moles
space space space space space space space open square brackets because space space At space mass space of space straight K space equals space 39 close square brackets
space space space space space equals 0.08 space moles
    Thus, Br will be limiting reactant and K left unreacted
     = (3.60 - 3.13) g
     = 0.462 g
    Question 197
    CBSEENCH11005082

    Decomposition of NaHCO3 takes place at 270°C. In a sample containing Na2CO3 and NaHCO3, the heating at 270°C results in the loss of 10% by weight. What is the percentage composition of the sample?

    Solution
    The balanced chemical equation is
    2NaCHO3         rightwards arrow      Na2CO3 + H2upwards arrow + CO2 upwards arrow
    2x(23+1+12+48)                        2+16         12 + 2 x16
     = 168 g                                      = 18 g       = 44 g
    Stoichiometry indicates that loss of 62 g of mass takes place from 168 g of NaHCO3. So loss of 10 g of mass takes place from
    168 over 62 cross times 10 space straight g space of space NaHCO subscript 3 space equals space 27.1 space straight g space of space NaHCO subscript 3
    Thus the percentage of NaHCO subscript 3 in the sample = 27.1%
    and percentage of Na2CO3 in the sample
                               = 100 - 27.1 = 72.9%
    Question 198
    CBSEENCH11005083

    How much potassium chlorate should be heated to produce 2.24 L of oxygen at NTP?

    Solution
    The balanced chemical equation is
              2KClO3    rightwards arrow     2KCl + 3O2
               2 moles                          3 moles
               2(39+35.5+48)                   3 x 22.4 L
               = 245 g (at NTP)
    Stoichiometry indicates that
      3 x 22.4L oxygen is produced from 245g KClO3
    therefore 2.24 L oxygen is produced from fraction numerator 245 over denominator 3 cross times 22.4 end fraction space equals space 8.17 space straight g
    Question 199
    CBSEENCH11005084

    If ten volumes of dihydrogen gas react with five volumes of dioxygen gas, how many volumes of water vapour could be produced?

    Solution
    Dihydrogen and dioxgen react to form water.
    space space stack 2 straight H subscript 2 left parenthesis straight g right parenthesis with 2 space vol below space plus space space stack straight O subscript 2 left parenthesis straight g right parenthesis with 1 space vol below space space space space rightwards arrow space space space space stack 2 straight H subscript 2 straight O left parenthesis straight g right parenthesis with 2 space vol below

    2 volumes of H2 react with 1 volume of O2 to produce 2 volumes of water vapours.
    ∴  10 volumes of H2 react with 5 volumes of O2 to produce 10 volumes of water vapours.

    Question 200
    CBSEENCH11005085

    What volume of oxygen at STP is required to affect complete combustion of 200 cm3 of acetylene and what would be the volume of carbondioxide formed?

    Solution
    The chemical equation representing the combustion of acetylene is
    stack 2 straight C subscript 2 straight H subscript 2 with 2 space vol below space plus space stack 5 straight O subscript 2 with 5 space vol below space space rightwards arrow space space space space stack 4 CO subscript 2 with 4 space vol below space plus 2 straight H subscript 2 straight O
    (i) To calculate the volume of O2 at STP required to effect complete combustion of 200 cm3 of acetylene:
    According to Gay Lussac’s law of gaseous volumes,
    2 volumes C2H2 will require O2 for complete combustion = 5 vol
          therefore   200 cm3 C2H2 will require O2 for complete combustion = 5 over 2 cross times 200
                                                                           = 500 cm3 at STP
    Thus volume of O2 required = 500 cm3 at S.T.P.
    (ii) To calculate the volume of CO2 produced at S.T.P
    According to Gay Lussac’s law of gaseous volumes.
    2 volumes of C2H2 produce CO2 = 4 vol
    therefore 200 cm3  C2H2 at S.T.P. will produce CO2
                                 equals space 4 over 2 cross times 200
equals space 400 space cm cubed space at space STP
    therefore volume of CO2 produced  = 400 cm3 at STP
    Question 201
    CBSEENCH11005086

    What do you mean by limiting reagent?

    Solution
    Some -times in a reaction, the amount of one reactant may be more while that of another may be less than the required from the balanced chemical equation. The amount of the reactant which is less will get used up earlier and hence limits the reaction. Such a reagent which is used up first in a reaction is. called limiting reagent. For example, here in the following reaction
    2 straight H subscript 2 plus straight O subscript 2 space rightwards arrow space 2 straight H subscript 2 straight O
    suppose 2 moles of H2 are reacted with 2 moles of O2 to form water. According to the above balanced chemical equation. 2 moles of H2 require 1 mole of O2 for complete reaction. Therefore, there should be 4 moles of H2 to react with 2 moles of O2 but H2present is only 2 moles. Hence, H2 is a limiting reagent which will get used up earlier when only 1 mole of O2 would react leaving behind 1 mole of unreacted oxygen.
    Question 202
    CBSEENCH11005087

    Calculate the amount of carbon dioxide that could be produced when
    (i) 1 mole of carbon is burnt in air.
    (ii) 1 mole of carbon is burnt in 16g of dioxygen.
    (iii) 2 moles of carbon are burnt in 16g of dioxygen.

    Solution
    The balanced equation for the combustion of carbon in dioxygen/air is as represented below:
    C(s)     +   O2 (g)     rightwards arrow   CO2(g)
    1 mol         1 mol            1 mol
    (12g)            (32 g)         (44 g)
    (i) Since in air, the combustion is complete, therefore when 1 mole of carbon is burnt, the amount of CO2 formed is 44g.
    (ii) Since 16g of dioxygen is available, therefore it can combine only with 0.5 mole of carbon. Thus, dioxygen is the limiting reactant and O2 produced is 22g.
    (iii) Here again, dioxygen is the limiting reactant. 16g of O2 can combine with 0.5 mole of carbon. Thus CO2 produced is 22g.
    Question 203
    CBSEENCH11005088

    96g of SO2 reacts with 29·0g of O2 to yield SO3. Which is the limiting reactant?

    Solution
    The balanced chemical equation representing the reaction is
    2SO2  +  O2    rightwards arrow  2SO3
    2 mol     1 mol          2 mol
           Moles space of space SO subscript 2 space equals space fraction numerator Wt. space of space SO subscript 2 over denominator Molecular space mass space of space SO subscript 2 end fraction equals 96 over 64 space equals 1.50 space mol
Moles space of space straight O subscript 2 space equals fraction numerator Wt. space of space SO subscript 2 over denominator Molecular space mass space of space straight O subscript 2 end fraction equals fraction numerator 29.00 over denominator 32 end fraction equals 0.906 space mol
    Stoichiometry indicates that 2 mol SOrequired O= 1 mol
       therefore   1.50 mol SOwill require O2
                                        equals space 1 half cross times 1.50 space equals space 0.75 space m o l
    But moles of O2 actually present = 0·906 mol Therefore, O2 is in excess and SO2 is the limiting reactant.

    Question 204
    CBSEENCH11005089

    In a reaction
    straight A plus straight B subscript 2 space rightwards arrow space AB subscript 2
    Identify the limiting reagent, if any, in the following reaction mixtures.

    (i) 300 atoms of A + 200 molecules of B

    (ii) 2 mol A + 3 mol B

    (iii) 100 atoms of A + 100 molecules of B

    (iv) 5 mol A + 2-5 mol B

    (v) 2·5 mol A + 5 mol B

    Solution

    According to the given reaction:
    (i) 1 atom of A will react with molecules of B2 = 1
    300 atoms of A will react with molecules of B2 = 300
    But molecules of B2 actually available = 200
    ∴  B2 is the limiting reactant.

    (ii) 1 mol of A reacts with 1 mol of B
    ∴ 2 mol of A will react with 2 mol of B.
    Hence A is the limiting reactant.

    (iii) 100 atoms of A will react with 100 molecules of B. Hence there are no limiting reactants.

    (iv) 2·5 mol of B will react with 2·5 mol of A. Hence B is the limiting reagent.

    (v) 2·5 mol of A will react with 2·5 mol of B.

    Hence A is the limiting reagent.

    Question 205
    CBSEENCH11005090

    Chlorine is prepared in the laboratory by treating manganese dioxide (MnO2) with aqueous hydrochloric acid according to the reaction

    4 space HCl left parenthesis aq right parenthesis space plus space MnO subscript 2 left parenthesis straight s right parenthesis space rightwards arrow space 2 straight H subscript 2 straight O left parenthesis straight l right parenthesis space plus space MnCl subscript 2 left parenthesis aq right parenthesis space plus space Cl subscript 2 left parenthesis straight g right parenthesis

    How many grams of HCl react with 5.0 g of manganese dioxide?

    Solution

    1 mol [55+2 x16=87 g] MnO2 reacts completely with 4 mol [4x 36.5=146g] of HCl

    Therefore,

    5.0 g of MnO2 will react with

     =(146/87) x5.0g of HCl

    =8.4 g of HCl

    Hence, 8.4g of HCl will react completely with 5.0g of manganese dioxide.

    Question 206
    CBSEENCH11005091

    Calcium carbonate reacts with aqueous HCl to give CaCl2 and CO2 according to the reaction,
     CaCO subscript 3 left parenthesis straight s right parenthesis space plus space 2 HCl space left parenthesis aq right parenthesis space rightwards arrow space space CaCl subscript 2 left parenthesis aq right parenthesis space plus space CO subscript 2 left parenthesis straight g right parenthesis space plus space straight H subscript 2 straight O left parenthesis straight l right parenthesis

    What mass of CaCO3 is required to react completely with 25 mL of 0·75M HCl?

    Solution
    1000 mL of HCl contains 0·75 mol
                                     = 0.75 x 36.5
                                     = 27.375 g
    therefore   25 mL of HCl contains equals space fraction numerator 27.375 over denominator 1000 end fraction cross times 25
                                            = 0.684 g
    The reaction is
    CaCO3(s)    +   2HCl(aq) rightwards arrow   CaCl2(aq) + CO2(g) + H2O(l)
    1 mol                 2 mol
    40+12+48          2 x 36.5
     = 100 g              = 73 g
    ?                        0.684 g
        Now 73 g of HCl are required to react with 100g of CaCO3
    therefore     
    0.684 g of HCl are required to react with
    100 over 73 cross times 0.684 space straight g space of space CaCO subscript 3 space equals space 0.94 space straight g space CaCO subscript 3

    Question 207
    CBSEENCH11005092

    Zinc and hydrochloric acid react according to the reaction:

    Zn left parenthesis straight s right parenthesis plus 2 HCl left parenthesis aq right parenthesis space rightwards arrow space space space ZnCl subscript 2 left parenthesis aq right parenthesis plus space straight H subscript 2 left parenthesis straight g right parenthesis

    If 0.30 mol Zn are added to hydrochloric acid containing 0.52 mol HCl, how many moles of H2 are produced?

    Solution
    The reaction is
    stack Zn left parenthesis straight s right parenthesis with 1 space mol below space plus space stack 2 HCl left parenthesis aq right parenthesis with 2 space mol below space space space rightwards arrow space space space space stack ZnCl subscript 2 with 1 space mol below left parenthesis aq right parenthesis space plus straight H subscript 2 left parenthesis straight g right parenthesis
    Stoichiometry shows that
    2 mol of HCl need 1 mol Zn
    therefore  0.52 mol HCl needs  equals space 1 half cross times 0.52 space mol
                                        equals space 0.26 space mol space Zn.
    But moles of Zn acutally present = 0.52 mol. 
    Therefore, Zn is in excess and HCl is the limiting reagent.
    Now 2 mol HCl forms H2 = 1 mol
    therefore 0.52 mol HCl forms H21 half cross times 0.52 space equals space 0.26 space mol
    Question 208
    CBSEENCH11005093

    Dinitrogen and dihydrogen react with each other to produce ammonia according to the following chemical equation:

    straight N subscript 2 left parenthesis straight g right parenthesis plus straight H subscript 2 left parenthesis straight g right parenthesis space rightwards arrow space space 2 NH subscript 3 left parenthesis straight g right parenthesis

    (i) Calculate the mass of ammonia produced if 2·00 × 103 g dinitrogen reacts with 1·00×103 g of dihydrogen.

    (ii) Will any of the two reactants remain un reacted?

    (iii) If yes, which one and what would be its mass?

    Solution
    (i) 1 mol of N2 = 28g ; 3 mol of H2 = 6g;  28g of N2 react with 6g of H2
     therefore   
    2000 of N2 would react with H2
                                   equals space 6 over 28 cross times 2000 space straight g
equals space 428.6 space straight g
    Thus, N2 in the limiting reagent while H2 is the excess reagent
    2 mol of N2 i.e. 28g of N2 produce NH3
                           = 2 mol = 2 x 17 = 34g
    therefore 2000g of N2 would produce
                 NH334 over 28 cross times 2000 straight g space equals space 2428.57 space straight g
    (ii) H2 will remain unreacted.
    (iii) Mass of H2 that remains unreacted = 1000 - 428.6 = 571.4 g.

    Question 209
    CBSEENCH11005094

    Define mass percent or weight percent.

    Solution

    It is the amount of solute in grams present in 100g of the solution. Mathematically,
    Mass percent = fraction numerator Mass space solute space left parenthesis straight g right parenthesis cross times space 100 space over denominator Mass space of space solution thin space left parenthesis straight g right parenthesis end fraction

    Question 210
    CBSEENCH11005095

    Define normality and molarity.

    Solution
    Normality (N). It is defined as the number of gram equivalent of the solute dissolved per litre of the solution.
    Normality space equals space fraction numerator No. space of space gram space equivalent space of space solute over denominator Volume space of space solution space in space litres end fraction
    Molarity (M). It is defined as the number of moles of solute dissolved per litre of the solution.
    Molarity space equals space fraction numerator Number space of space moles space of space solute over denominator Volume space of space solution space in space litres end fraction
space space space space space space space space space space space space equals space fraction numerator Number space of space moles space of space solute over denominator Volume space of space solution space in space ml end fraction cross times 1000
The space units space of space molarity space are space moles space per space litre left parenthesis mol space straight L to the power of negative 1 end exponent right parenthesis.
    Question 211
    CBSEENCH11005096

    Define molality and mole fraction.

    Solution
    Molality.  It is defined as the number of moles of the solute dissolved in 1kg (or 1000g) of the solvent.
    Molality space equals fraction numerator Moles space of space solute over denominator Mass space of space solvent space in space kg end fraction
    Mole fraction. Mole fraction may be defined as the ratio of the number of moles of one component to the total number of moles of all the components present in the solution.
    For a binary solution made up of components A and B,
    Mole space fraction space of space straight A left parenthesis straight x subscript straight A right parenthesis equals space space fraction numerator straight n subscript straight A over denominator straight n subscript straight A plus straight n subscript straight B end fraction
Mole space fraction space of space straight B left parenthesis straight x subscript straight B right parenthesis space equals fraction numerator straight n subscript straight B over denominator straight n subscript straight A plus straight n subscript straight B end fraction
    Sum of the mole fractions open parentheses straight x subscript straight A plus straight x subscript straight B close parentheses
                               equals space fraction numerator straight n subscript straight A over denominator straight n subscript straight A plus straight n subscript straight B end fraction plus fraction numerator straight n subscript straight B over denominator straight n subscript straight A plus straight n subscript straight B end fraction space equals 1
    Question 213
    CBSEENCH11005098

    Calculate the molarity of NaOH in the solution prepared by dissolving its 4g in enough water to form 250mL of the solution.

    Solution
    Moles space of space NaOH space equals space fraction numerator Weight space NaOH over denominator Molar space mass space of space NaOH end fraction
                           equals space 4 over 40 space equals 0.1 space m o l e
    Volume of solution = 250 mL
    therefore space space Molarity space space equals space fraction numerator mol over denominator space rquired space volume end fraction cross times space 1000 space mL

space Molarity space space equals space fraction numerator 0.1 space mol over denominator 250 space mL end fraction cross times space 1000 space mL space equals space 0.4 space straight M
    Question 214
    CBSEENCH11005099

    Calculate the normality of a solution containing 0.5 g NaOH in 250 mL of solution.

    Solution

    Gram equivalent is given as =
    fraction numerator Given space molecular space mass space of space substance over denominator Molecular space mass space of space substance end fraction
    Gram equivalent of NaOH = fraction numerator 0.5 over denominator 40 end fraction
    Volume of solution = 250 mL
    Normality is given as =
    straight N space equals fraction numerator Gram space equivalent space over denominator volume space required end fraction straight x space 1000
    therefore space space Normality space space equals space fraction numerator 0.50 over denominator 40 end fraction cross times 1 over 250 cross times 1000 space equals space 0.05 space straight N

    Question 218
    CBSEENCH11005103

    How many moles of NaOH are contained in 27mL of 0.15 M NaOH?

    Solution

    1000mL of NaOH contains 0.15 moles
    therefore   27 mL of NaOH contains fraction numerator 0.15 over denominator 1000 end fraction cross times 27 space moles
     = 0.004 moles

    Question 219
    CBSEENCH11005104

    What is the concentration of sugar (C12H22O22) in mol L–1 if its 20g are dissolved in enough water to make a final volume up to 2L? 

    Solution

    Molar mass of sugar space open parentheses straight C subscript 12 straight H subscript 22 straight O subscript 11 close parentheses
                     space space equals space 12 cross times 12 plus 22 cross times 1 plus 11 cross times 16
space space equals 342 space straight g space mol to the power of negative 1 end exponent
    Number of moles of sugar = space space fraction numerator 20 straight g over denominator 342 space straight g space mol to the power of negative 1 end exponent end fraction
                                          = 0.0585 mol
    therefore  Molar concentration (molarity)
                           space space equals space fraction numerator Moles space of space solute over denominator Vol. space of space sol space in space straight L end fraction space equals fraction numerator 0.0585 over denominator 2 end fraction
space space equals space 0.0293 space straight M

    Question 220
    CBSEENCH11005105

    How are 0.50 mol Na2CO3 and 0·50 M Na2CO3 different?

    Solution

    Molar mass of Na2CO3 = 2 x 23 + 12 + 3 x 16 = 106 g
    0.50 mol Na2CO3 means 0.50 x 106g = 53g
    0.50M Na2CO3 means 0.50 mol i.e. 0.50 x 106g, i.e. 53 g of Na2CO3 are present in 1 litre of the solution.

    Question 221
    CBSEENCH11005106
    Question 223
    CBSEENCH11005108

    In a reaction vessel 0.184 g of NaOH is required to be added for completing the reaction. How many millilitre of 0.150 M NaOH solution should be added for this requirement?

    Solution

    Molar mass of NaOH = 40 g mol-1
    because 
    1000 mL of NaOH solution contains 0.150 mol = 0.150 x 40 = 6 g
    It means that 6g sodium hydroxide is present in 1000 mL
     therefore 0.184 g sodium hydroxide would be present in 
                                              equals space 1000 over 6 cross times 0.184 space equals 184 over 6 space equals space 30.7 space mL

    Question 224
    CBSEENCH11005109

    Commercially available concentrated hydrochloric acid contains 38% HCl by mass.
    (i) What is the molarity of the solution (density of solution = 1·19g cm-3)?
    (ii) What volume of concentrated HCl is required to make 1·0L of 0·10 M HCl?

    Solution
     (i) 38% HCl by mass means that 38g of HCl is present in 100g of solution.
    Volume of solution
                      equals space fraction numerator Mass space over denominator Density end fraction space equals space fraction numerator 100 over denominator 1.19 end fraction space equals 84.03 space cm cubed
    Moles of HCl = fraction numerator 38 over denominator 36.5 end fraction space equals space 1.04
    Molarity = fraction numerator No. space of space moles space of space HCl over denominator Vol. space of space solution space left parenthesis in space cm cubed right parenthesis end fraction cross times 100
                 equals space fraction numerator 1.04 over denominator 84.03 end fraction cross times 1000 space equals space 12.38 space straight M
    (ii) By applying normality equation,
                           straight M subscript 1 straight V subscript 1 space equals space straight M subscript 2 straight V subscript 2 comma space we space have
    12.38 space straight M space cross times space straight V subscript 1 space equals space 0.10 space cross times space 1.0 space straight L
therefore space space space space space straight V subscript 1 space equals space fraction numerator 0.10 space cross times space 1.0 over denominator 12.38 end fraction
space space space space space space space space space space space space space equals space 0.00808 straight L
space space space space space space space space space space space space space equals space 8.08 space cm cubed
    Question 225
    CBSEENCH11005110

    What volume of 9M HCl and 4 MHCl should be mixed to get 1L of 5M HCl solution?

    Solution
    Suppose volume of 9 MHCl required to prepare 1 L of 6M HCI = x litre
    therefore  Volume of 4 M HCl required  = (1 - x) litre
    Applying molarity equation, we have,
      stack straight M subscript 1 straight V subscript 1 with 9 space straight M space HCl below space plus stack space straight M subscript 2 straight V subscript 2 space with 4 space straight M space HCl below space equals space stack straight M subscript 3 straight V subscript 3 with 6 space straight M space HCl below
     9 space cross times space straight x space plus 4 left parenthesis 1 minus straight x right parenthesis space equals space 6 cross times 1
or space space space space space 5 straight x space equals space 2
or space space space space space space straight x space equals space 2 over 5 space equals space 0.04 space litre
therefore space space space Volume space of space 9 straight M space HCl space required space equals space 0.4 space litre
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 equals 400 space mL
therefore space space space space Volume space of space 4 straight M space HCl space required space equals space 1000 minus 400
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 equals space 600 space mL.
    Question 226
    CBSEENCH11005111

    If the density of methanol is 0·793 kg L–1, what is its volume needed for making 2·5L of its 0·25 M solution?

    Solution

    Molar mass of methanol (CH3OH)
                    = 12 + 4 x 1 + 16 = 32g mol-1
                    = 0.032 kg mol-1
    therefore       Molarity of the given solution
           equals space fraction numerator 0.793 space kg space straight L to the power of negative 1 end exponent over denominator 0.032 space kg space mol to the power of negative 1 end exponent end fraction space equals space 24.78 space mol space straight L to the power of negative 1 end exponent
    Applying the molarity equation,
    (Given solution) straight M subscript 1 straight V subscript 1 space equals space straight M subscript 2 straight V subscript 2 left parenthesis solution space to space be space prepared right parenthesis
    24.78 space cross times space straight V subscript 1 space equals space 0.25 space cross times space 2.5 space straight L
    or     straight V subscript 1 space equals space fraction numerator 0.25 space cross times space 2.5 over denominator 24.78 end fraction straight L space equals space 0.02522 space straight L space equals space 25.22 space mL

    Question 227
    CBSEENCH11005112

    Calculate the molarity of a solution of ethanol in water in which the mole fraction of ethanol is 0.040.(assume the density of water to be one).

    Solution
    Mole fraction of ethanol is given by
    straight C presuperscript straight x subscript 2 straight H subscript 5 OH space equals space fraction numerator straight C presuperscript straight n subscript 2 straight H subscript 5 OH over denominator straight C presuperscript straight n subscript 2 straight H subscript 5 OH space plus straight H presuperscript straight n subscript 2 straight O end fraction space space space space
space space space space space space space space space space space space space equals space 0.040 space space space space space space space space space space space space space space space space space space space space space space space space left square bracket given right square bracket space... left parenthesis 1 right parenthesis
    Our aim is to find the number of moles of ethanol in 1L of the solution which is nearly = 1L of water.
    Number of moles in 1L of water
                         equals space fraction numerator 1000 straight g over denominator 18 straight g space mol to the power of negative 1 end exponent end fraction space equals space 55.55 space moles
    Substituting the values of straight H presuperscript straight n subscript 2 straight O in eq. (1) we have
       fraction numerator straight C presuperscript straight n subscript 2 straight H subscript 5 OH over denominator straight C presuperscript straight n subscript 2 straight H subscript 5 OH plus 55.55 end fraction space equals 0.040
or space space space 0.96 space straight C presuperscript straight n subscript 2 straight H subscript 5 OH space equals space 55.55 space cross times space 0.040
or space space space space space straight C presuperscript straight n subscript 2 straight H subscript 5 OH space equals space fraction numerator 55.55 space cross times space 0.040 over denominator 0.96 end fraction space equals space 2.31 space mol
    Hence molarity of the solution = 2.31 M
    Question 228
    CBSEENCH11005113

    Calculate the concentration of nitric acid in moles per litre in a sample which has a density, 1.41 g mL–1 and the mass per cent of nitric acid in it being 69%.

    Solution

    We have given,

    Mass percent of nitric acid in the sample =69%

    Thus, 100g of nitric acid contains 69g of nitric acid by mass.

    Molar mass of nitric acid contains 69g of nitric acid by mass.

    Molar mass of nitric acid (HNO)

    =[1+14+3(16)]

    =1+14+48

    =63g mol-1

    Therefore, number of moles in 69g of HNO3

    = 69g/63g mol-1

    =1.095 mol

    Volume of 100g of nitric acid solution =

    =Mass of solution/density of solution

    = 100/1.41g ML-1

    =70.92mL =70.92 x10-3L

    Concentration of nitric acid

    =1.095mole/70.92 mol L-1

    Thus,

    Concentration of nitric acid =15.44 mol/L

     

    Question 229
    CBSEENCH11005114

    Determine the molecular formula of an oxide of iron in which the mass per cent of iron and oxygen are 69.9 and 30.1 respectively.

    Solution

    We have given,

    Mass percent of iron (Fe) =69.9%

    Mass percent of oxygen (O)=30.1%

    Number of moles of iron present in the oxide =69.90/55.85 =1.25

    Number of moles of oxygen present in the oxide=30.1/16.0

    =1.88

    Ratio of iron to oxygen in the oxide,

    1.25:1.88

    =1:1.5

    =2:3

    Therefore the empirical formula of the oxide is Fe2O3.

    Empirical formula mass of Fe2O3= [2(55.85) +3(16)]g

    Molar mass of Fe2O3=159.69g

    Thus, n= Molar mass/Empirical Formula mass =159.69/159.7g

     =0.999 = 1(approx.)

    Molecular formula of a compound is obtained by multiplying the empirical formula with n. Thus, the empirical formula of the given oxide is Fe2O3 and n is 1.

    Hence, the molecular formula of the oxide is Fe2O3.

    Question 230
    CBSEENCH11005115

    A sample of drinking water was found to be severely contaminated with chloroform, CHCl3, supposed to be carcinogenic in nature. The level of contamination was 15 ppm (by mass).
    (i) Express this is percent by mass.
    (ii) Determine the molality of chloroform in the water sample.

    Solution

     

    i) 1ppm is equivalent to 1 part out of 1 million (106) parts.

    Therefore, mass percent of 15 ppm chloroform in water

    = (15/106) x100 =1.5 x 10-3 %

    ii) 100 g of the sample contains 1.5 x 10-3 g of CHCl3.

    1000 g of the sample contains 1.5 x 10-2 g of CHCl3

    Thus, Molality of chloroform in water

    = 1.5 x 10-2 g/Molar mass of CHCl3

    Molar mass of CHCl3 =12+1+3(35.5)

    =119.5 g mol-1

    Therefore, molality of chloroform in water =0.0125 x 10-2 m

    =1.25 x 10-4 m

     

    Question 231
    CBSEENCH11008012

    Calculate the mass of nitrogen supplied to the soil by 5Kg of urea [CO(NH2)2]?

    Solution

    The formula for urea is.

    The molar mass for urea is 14x 2+1x 4+12+16= 60 g/mole.

    In this 60 g of urea, nitrogen has a mass of 28 g.

    So by simple proportion in 5 kg of urea,

    nitrogen has a mass =28 x 500060 = 2333.33 g= 2.3 kg

    Question 232
    CBSEENCH11008013

    Calculate the molar mass of the following:
    H2O

    Solution

    Molecular mass of H2O = Mass of oxygen + Mass of hydrogen.
    mass of hydrogen =1.008 amu
    mass of oxygen =16.000 amu
    2(1.008 amu) + 16.000 amu = 18.016 amu

    Question 233
    CBSEENCH11008014

    Calculate the molar mass of the following:
    CO2

    Solution

    Molecular mass of CO2 = Mass of carbon +Mass of oxygen.
    Mass of carbon =12.01
    Mass of oxygen=16.00
    12.01 amu +2 x (16.00 amu) = 44.01 amu.
                         

    Question 234
    CBSEENCH11008015

    Calculate the molar mass of the following:
    CH4

    Solution

    Molar mass of CH= Mass of carbon +mass of hydrogen.
    Mass of carbon =12.01
    Mass of hydrogen =1.008
    12.01 amu + 4x(1.008 amu) = 16.042 amu

    Question 235
    CBSEENCH11008016

    Calculate the molecular mass of glucose (C6H12O6) molecule.

    Solution

    Molecular mass of glucose (C6H12O6) =Mass of carbon +mass of hydrogen +mass of oxygen
    Mass of carbon =12.011amu
    Mass of oxygen=16.00 amu
    Mass of hydrogen=1.008 amu
    = 6(12.011 amu) +12 (1.008 amu) + 6(16.00 amu)
    = 72.066 amu + 12.096 amu + 96.00 amu
    = 180.162 amu

    Question 236
    CBSEENCH11008017

    Calculate the gram molecular mass of sugar (C12H22O11).

    Solution

    Mass of carbon =12g
    Mass of oxygen=16g
    Mass of hydrogen= 1g
    Molecular mass of sugar (C12H22O11)
     = 12 x (At. mass of carbon) + 22 x (At. mass of hydrogen) + 11 x (At. mass of oxygen)
     = 12 x 12 + 22 x 1 +11 x 16 = 342 amu
    therefore  Gram molecular mass of C12H22O11 = 342 g

    Question 237
    CBSEENCH11008018

    How much copper can be obtained from 100 g of copper sulphate (CuSO4)? 

    Solution

    1 mole of CuSO4 contains 1 g atom of Cu.
    Now molar mass of CuSO= 63.5 + 32 + 4 x 16 =159.5 g mol-1
    Cu that can be obtained from 159.5 g of CuSO4 = 63.5 g
    therefore   Cu that can be obtained from 100 g of CuSO
    fraction numerator 63.5 over denominator 159.5 end fraction cross times 100 = 39.81 g

    Question 238
    CBSEENCH11008019

    Explain the term 'mole'?

    Solution

    The unit of amount of substance is mole which contains 6 · 023 × 1023 entities. These entities may be atoms, molecules, ions, electrons or any other entity. This number 6·023 × 1023 is called Avogadro’s number and is symbolised as N.
    A mole is defined as the amount of any substance which contains Avogadro’s number (6·023 × 1023) of particles (atoms, molecules or formula units) of that substance and has a mass equal to gram atomic mass, gram molecular mass or gram formula mass as the case may be e.g.,
                   1 mole of oxygen atom
                                     = 6.023 x 1023 atoms = 16 g
                    1 mole of oxygen molecules
                                     = 6.023 x 1023 molecules = 32 g
                    1 mole of water molecules
                                      = 6.023 x 1023 molecules = 18 g
                    1 mole of sodium chloride
                                      = 6.023 x 1023 formula units
                                       = 58.5 g
                     1 mole of electrons = 6.023 x 1023 electrons
    Mole in terms of volume: In the case of gases, it has been found that the volume occupied by one mole of any gas at STP (0°C and 1-atmosphere pressure) is 22·4 litres. The volume occupied by 1 mole of gas at STP is known as gram molecular volume (G.M.V.) or molar volume.
    1 mole of gas  = 22.4 litres of gas at STP
    For example,
    1 mole of H= 22.4 litres of H2 at STP
    1 mole of O2 = 22.4 litres of O2 at STP
    Thus,
    1 mole = 6.023 x 1023 particles (i.e. atoms, molecules, formula units, ions, etc.)
               = Gram atomic mass (gram atoms), 
            gram molecular mass (gram molecules), gram formula mass, etc.
                 = 22.4 litres at STP in case of gases.

    Question 239
    CBSEENCH11008020

    What is the utility of mole concept?

    Solution
    1. To calculate the mass of one atom of the element.
    Mass space of space one space atom space of space element space equals space fraction numerator Gram space atomic space mass over denominator Avogadro apostrophe straight s space number end fraction
    2. To calculate the mass of one molecule of the substance.
    Mass space of space one space molecule space of space substance equals fraction numerator Gram space molecular space mass over denominator Avogadro apostrophe straight s space number end fraction
    3. To calculate the number of atoms and  the number of molecules in a given mass of the element.
    The Number of atoms in a given mass of the element. 
                      equals space fraction numerator 6.023 space straight x space 10 to the power of 23 over denominator Gram space atomic space mass end fraction cross times Mass space of space element space in space grams.
space space No. space of space molecules space in space given space mass space of space the space element.
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 equals fraction numerator Mass space of space element space in space grams over denominator Gram space atomic space mass end fraction

    4. To calculate the number of molecules and the number of moles in a given mass of the substance.
    No. of molecules in a given mass of a substance
                           equals space fraction numerator 6.023 space cross times space 10 to the power of 23 over denominator Gram space molecular space mass end fraction cross times Mass space of space substance space in space grams
space space space space No. space of space moles space in space straight a space given space mass space of space substance
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 equals fraction numerator Mass space of space substance space in space grams over denominator Gram space molecular space mass end fraction
    5. To calculate the volume occupied at S.T.P. by a given mass of a gas.
    Volume occupied at S.T.P. by given mass of a gas
                   equals space fraction numerator 22.4 space litres over denominator Gram space moleuclar space mass space of space straight a space gas end fraction cross times space mass space of space gas space in space grams
    6. To calculate the number of molecules present in a given volume of a gas at S.T.P.
    No. of molecules contained in given volume of gas at S.T.P.
               equals space fraction numerator 6.023 space cross times space 10 to the power of 23 over denominator 22.4 space litres end fraction cross times space volume space of space gas space in space litres space at space straight S. straight T. straight P.
    7. To calculate the number of atoms and molecules in the given number of moles of a substance.
    No. of atoms in a given number of moles of element
    = 6 · 023 × 1023 × No. of moles of element No. of molecules in a given number of moles of substance
    = 6·023 × 1023 × No. of moles of substance

    Question 240
    CBSEENCH11008021

    What will be the mass of one straight C presuperscript 12 atom in g?

    Solution

    1 mol of straight C presuperscript 12 atoms  = 6.022 space straight x space 10 to the power of 23 space atoms = 12 g
     6.022 space cross times space 10 to the power of 23 space atoms space of space straight C presuperscript 12 space atoms space have space mass space equals space 12 straight g
space space space therefore space space space space 1 space atoms space of space straight C presuperscript 12 space atom space would space have space mass
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 equals fraction numerator 12 straight g over denominator 6.022 cross times 10 to the power of 23 end fraction space equals space 1.9927 space cross times space 10 to the power of negative 23 end exponent straight g

    Question 241
    CBSEENCH11008022

    Calculate the mass of:
    (i) an atom of sodium
    (ii) in a single molecule of water.

    Solution
    left parenthesis straight i right parenthesis space 6.023 space straight x space 10 to the power of 23 space atoms space of space sodium space equals space
Gram space atomic space mass space of space sodium space equals space 23 straight g

therefore space 1 space atom space of space sodium space equals space fraction numerator 23 over denominator 6.023 space straight x space 10 to the power of 23 end fraction space equals space 3.82 space cross times space 10 to the power of negative 23 end exponent straight g
    (ii) Gram molecular mass of H2O = 18 g
    Now 6.023 x 1023 molecules of water have mass = 18 g.
    therefore space space space 1 space molecule space of space water space will space have space mass
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 equals fraction numerator 18 over denominator 6.023 space cross times space 10 to the power of 23 end fraction space equals space 2.99 space cross times space 10 to the power of negative 23 end exponent straight g
    Question 242
    CBSEENCH11008023

     In three moles of ethane (C2H6), calculate the following:
    Number of moles of carbon atoms.

    Solution
    1 mole of ethane (C2H6) contains 2 moles of C atoms
    therefore3 mole of C2Hwould contain 2 x 3 i.e.  6 moles of C atoms.

    Question 243
    CBSEENCH11008024

     In three moles of ethane (C2H6), calculate the following:
    Number of moles of hydrogen atoms.

    Solution
    1 mole of C2Hcontains 6 moles of H atoms
    therefore3 mole of C2Hwould contain 6 x 3 i.e.  18 moles of H atoms.
    Question 244
    CBSEENCH11008025

     In three moles of ethane (C2H6), calculate the following:
    Number of molecules of ethane.

    Solution
    1 mole of C2Hcontains 6.022 x 1023 molecules
    therefore3 mole of C2Hwould contain = 3 x 6.022 x 1023  = 18.066 x 1023 molecules.
    Question 245
    CBSEENCH11008026

    How many sulphur atoms are present in each of the following quantities
    (i) 4.5 mole of S          
    (ii) 6 mole of S?

    Solution

    (i) 1 mole of S = 6.023 x 1023 atoms of sulphur
    4.5 mole of S = 4.5 x 6.023 x 1023 atoms of sulphur
                        = 2.71 x 1024 atoms of sulphur

    (ii) 1 mole of S8 = 6.023 x 1023 molecules of S8
                                   
    = 8 x 6.023 x 1023 atoms of sulphur
    therefore 6 mole of S8 = 6 x 8 x 6.023 x 1023 atoms of sulphur
                    = 2.89 x 1025 atoms of sulphur

    Question 246
    CBSEENCH11008027

    How many atoms and molecules of phosphorus are present in 62 g of phosphorus (P4)?

    Solution

    Molecular formula of phosphorus = P4
    Gram molecular mass of phosphorus (P4)
                                                           
    = 4 x 31 = 124 g
    124 g of phosphorus contains 6.023 x 1023 molecules of phosphorus
                            therefore 62 g of phosphorus would contain
                 
    equals space fraction numerator 6.023 space cross times space 10 to the power of 23 over denominator 124 end fraction cross times 62 space molecules space of space phosphorus
equals space 3.011 space straight x space 10 to the power of 23 space molecules space of space straight P subscript 4
space space Now space 1 space mole space of space straight P subscript 4 space equals space 6.023 space cross times space 10 to the power of 23 space molecules
of space straight P subscript 4 space equals space 4 space cross times 6.023 space cross times space 10 to the power of 23 space atoms space of space phosphorus
space straight i. straight e. space 124 space straight g space of space phosphorus space contain
space 4 space cross times space 6.023 space cross times space 10 to the power of 23 space atoms space of space phosphorus

therefore space 62 space straight g space of space phosporus space contain
equals space fraction numerator 4 cross times 6.023 cross times 10 to the power of 23 over denominator 124 end fraction cross times space 62 space atoms space of space phosphorus
equals space 1.2046 space cross times space 10 to the power of 24 space atoms space of space phosphorus.

    Question 247
    CBSEENCH11008028

    Calculate the number of molecules present:

    (i) in one drop of water having mass of 0.05 g

    (ii) in 34.20 gram of cane sugar (C12H22O11).

    Solution

    (i) 1 mole of H2O = 18 g
                              = 6.023 x 1023 molecules
      Mass of 1 drop of water = 0.05 g
       Now 18 g of H2O contains 6.023 x 1023 molecules
                  therefore 0.05 g of straight H subscript 2 straight O would contain
                                     equals space fraction numerator 6.023 space cross times space 10 to the power of 23 over denominator 18 end fraction cross times space 0.05 space equals space 1.673 space cross times space 10 to the power of 21 space molecules
equals space 1.673 space cross times space 10 to the power of 21 space molecules

    (ii) Molecular mass of straight C subscript 2 straight H subscript 22 straight O subscript 11
      equals space 12 space cross times space 12 space plus 22 space cross times space 1 plus space 11 cross times 16
equals space 342 space amu
1 space mole space of space straight C subscript 12 straight H subscript 22 straight O subscript 11
space space space space space space space space space space space space space equals 342 space straight g
space space space space space space space space space space space space space equals space 6.023 space cross times space 10 to the power of 23 space molecules
Now space 342 space straight g space of space cane space sugar space contains
space space space space space space space space equals 6.023 space cross times space 10 to the power of 23 space molecules
therefore space space 34.2 space straight g space of space cane space sugar space would space contain
space space space space space space space space equals space fraction numerator 6.023 space cross times space 10 to the power of 23 over denominator 342 end fraction cross times space 34.2
space space space space space space space equals 6.023 space cross times space 10 to the power of 22 space molecules

    Question 248
    CBSEENCH11008029

    Calculate the number of atoms of each kind in 5·3 g of Na2CO3.

    Solution

    Formula mass of Na2CO3
                         equals space 2 cross times 23 space plus 12 plus 3 space cross times 16
equals 46 plus 12 plus 48 space equals space 106 space amu
    Gram formula mass of Na2CO3 = 106 g
    Now 106 g of Na2CO3

    equals 6.023 space cross times space 10 to the power of 23 space formula space units space of space Na subscript 2 CO subscript 3
therefore space space space 5.3 space straight g space of space Na subscript 2 CO subscript 3 space equals space fraction numerator 6.023 space cross times space 10 to the power of 23 over denominator 106 end fraction cross times 5.3
space space space space space space space space space space space equals 3.01 space cross times space 10 to the power of 22 space formula space units space of space Na subscript 2 CO subscript 3
    Now one formula unit of Na2CO3 contains 2 atoms of sodium, 1 atom of carbon and 3 atoms of oxygen.
    therefore space space space N o. space o f space N a space a t o m s space i n space 5.3 space straight g space o f space N a subscript 2 C O subscript 3
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 equals 2 space cross times space 3.01 space cross times space 10 to the power of 22
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 equals space 6.02 space cross times 10 to the power of 22
    No of carbon atoms in 5.3 g of Na subscript 2 CO subscript 3
                                           equals space 1 space cross times space 3.01 space cross times space 10 to the power of 22
space equals space 3.01 space cross times space 10 to the power of 22
    No. of oxygen atoms in 5.3 g of Na subscript 2 CO subscript 3
                                                 equals 3 cross times 3.01 cross times 10 to the power of 22
equals space 9.03 space cross times space 10 to the power of 22

    Question 249
    CBSEENCH11008030

    What is the number of molecules of CO2 present that contains 8g of O2?

    Solution
    Gram molecular mass of O2 = 32 g
    therefore space space 32 space straight g space of space straight O subscript 2 space equals space 1 space mole
therefore space space space 8 space straight g space of space straight O subscript 2 space equals space 1 over 32 cross times 8 space equals space 1 fourth space equals 0.25 space mole
Since space 1 space mole space of space CO subscript 2 space contains space 1 space mole space of space straight O subscript 2
    therefore space space 0.025 space mole space of space straight O subscript 2 space will space be space present space in space 0.25 space mole space of space CO subscript 2
Now space space 1 space mole space of space CO subscript 2 space contains space 6.023 space cross times space 10 to the power of 23 space molecules space of space CO subscript 2
    therefore space space space 0.25 space mole space of space CO subscript 2 space would space contain
space space space space space space space space equals space 6.23 space cross times space 10 to the power of 23 cross times space 0.25 space molecules space of space CO subscript 2
space space space space space space space space space equals space 1.505 space cross times space 10 to the power of 23 space molecules space of space CO subscript 2
    Question 250
    CBSEENCH11008031

    What weight of Ca will contain the same number of atoms as are present in 3.2g of sulphur?

    Solution

    Atomic mass of sulphur = 32 amu
    Gram atomic mass of sulphur = 32 g
    1 mole of sulphur contains  = 6.023 x 1023 atoms
    Now 32 g of sulphur contains
                                = 6.023 x 1023 atoms
    3.2 g of sulphur would contain
          equals space fraction numerator 6.023 space cross times space 10 to the power of 23 over denominator 32 end fraction cross times space 3.2 space equals space 6.023 space cross times space 10 to the power of 22 space atoms
       
    Gram atomic mass of calcium  = 40 g
        1 mole of calcium  = 40 g
                                   = 6.023 x 1023 atoms
    Now 6.023 x 1023 atoms of calcium have mass  = 40 g
    therefore space space space 6.023 space cross times space 10 to the power of 22 space atoms space of space calcium space will space have space mass
space space space space space space space space space space space space space equals space fraction numerator 40 over denominator 6.023 space cross times space 10 to the power of 23 end fraction cross times 6.023 space cross times space 10 to the power of 22 space equals space 4 space straight g

    Question 251
    CBSEENCH11008032

    0.01 mole of a compound weighs 1 g. Calculate the molecular mass of the compound.

    Solution

    0.01 mole of a compound high = 1 g
    1 mole of a compound would weigh
                                      equals space fraction numerator 1 over denominator 0.01 end fraction straight g space equals space 100 space straight g
    therefore space space space Molecular space mass space of space the space compound space space equals space 100 space amu

    Question 252
    CBSEENCH11008033
    Question 253
    CBSEENCH11008034

    Calculate the number of atoms in each of the following;
    (i) 52 moles of Ar 
    (ii) 52 u of He
    (iii) 52 g of He.

    Solution
    (i) 52 moles of Ar.
    because space space 1 space mole space Ar space contains space 6.02 space cross times space 10 to the power of 23 space atoms
therefore space space space 52 space moles space Ar space would space contain space equals space 6.02 space cross times space 10 to the power of 23 cross times 52
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 equals space 3.1304 space cross times space 10 to the power of 25 space atoms
    (ii) 52u of He.
    Atomic mass of He = 4u
    i.e. 4u of He = 1 atom He
    therefore 52 u He equals space 1 fourth cross times 52 space equals space 13 space atoms space of space He

    (iii) 52 g of He.
    "<pre
    Question 254
    CBSEENCH11008035

    Which one of the following will have largest number of atoms?

    • 1g Au (s)
    • 1g Na (s)
    • 1g Li (s)
    • 1 g of Cl2(g)

    Solution

    C.

    1g Li (s) left parenthesis straight i right parenthesis space 1 space straight g space Au left parenthesis straight s right parenthesis space equals space 1 over 197 mol
space space space space space space space space space space space space space space space space space space space equals 1 over 197 cross times 6.022 space cross times space 10 to the power of 23 space atoms
left parenthesis ii right parenthesis space 1 gNa left parenthesis straight s right parenthesis space equals space 1 over 23 mol space equals space 1 over 23 cross times 6.022 space cross times space 10 to the power of 23 space atom
    left parenthesis iii right parenthesis space 1 straight g space Li left parenthesis straight s right parenthesis space equals space 1 over 7 mol
space space space space space space space space space space space space space space space space space space equals 1 over 7 cross times 6.022 cross times 10 to the power of 23 space atoms
left parenthesis iv right parenthesis space 1 space straight g space of space Cl subscript 2 left parenthesis straight g right parenthesis space equals space 1 over 71 mol
space space space space space space space space space space space space space space space space space space space space equals space 1 over 71 cross times 6.022 cross times 10 to the power of 23 space molecules
space space space space space space space space space space space space space space space space space space space space equals space 2 over 71 cross times 6.022 space cross times 10 to the power of 23 space atoms
    Hence 1 g Li(s) has the largest number of atoms
    Question 255
    CBSEENCH11008036

    The cost of table salt (NaCl) is Rs 8 per kg. Calculate its cost per mole.

    Solution
    Molar mass of table salt (NaCl)
                                = 23 + 35.5 = 58.5 g mol-1 
    because space space 1000 space straight g space table space salt space costs space equals space space Rs space 2
therefore space space space 58.5 space straight g space table space salt space would space cost 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 equals 8 over 1000 cross times 58.5
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 equals space Rs space 0.468
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 equals space 47 space paise space nearly. space space space space
    Question 257
    CBSEENCH11008050

    The molecular formula of a commercial resin used for exchanging ions in water softening is C8H7SO3Na ( mol. wt = 206). What would be the maximum uptake of Ca2+ ions by the resin when expressed in mole per gram resin?

    • 1/103

    • 1/206

    • 2/309

    • 1/412

    Solution

    D.

    1/412

    We know the molecular weight of C8H7SO3Na
    = 12x8+1x7+32+16x3+23 = 206
    we have to find mole per gram of resin
    therefore,
    1 g of C8H7SO3Na has number of mole
    equals fraction numerator weight space of space given space resin over denominator Molecular space weight space of space resin end fraction
    =1/206 mol
    Taking the reaction,
    C8H7SO3Na + Ca2+ → (C6H7SO3)2Ca + 2Na+
    therefore, 2 moles of C8H7SO3Na  combines with 1 mol of Ca2+
    Thus, 1 mole of C8H7SO3Na will combine with 0.5 mol of Ca2+
    Hence, 1/206 mole of C8H7SO3Na will combine with,
     0.5 x (1/206)mol of Ca2+ = 1/412 mol Ca2+

    Question 258
    CBSEENCH11008058

    In Carius method of estimation of halogens, 250 mg of an organic compound gave 141 mg of AgBr. The percentage of bromine in the compound is: (at. Mass Ag = 108; Br = 80)

    • 24

    • 36

    • 48

    • 60

    Solution

    A.

    24

    Weight of Organic compound = 250 mg
    Weight of AgBr = 141 mg
    therefore, According to the formula of % of bromine by Carius method
    percent sign space of space Br space equals space fraction numerator Atomic space weight space of space Br over denominator Molecular space weight space of space AgBr end fraction space
space space space space space space space space space space space space space space straight x space fraction numerator weight space of space AgBr over denominator Weight space of space organic space bromide end fraction straight x 100
therefore percent sign space of space Br space equals space 80 over 188 space straight x space 141 over 250 space straight x 100
space equals space 1128000 over 47000 space equals space 24 space percent sign

    Question 259
    CBSEENCH11008069

    A gaseous hydrocarbon gives upon combustion 0.72 g of water and 3.08 g of CO2.The empirical formula of the hydrocarbon is 

    • C2H4

    • C3H4

    • C6H5

    • C7H8

    Solution

    D.

    C7H8

    18 g H2O contains 2gH
    therefore, 0.72 g H2O contains 0.08 g H
    44 g CO2 contains 12 g C
    therefore, 3.08 g CO2 contains 0.84 g C
    ∴ C:H = 0.84/12: 0.08/1
     + 0.07 : 0.08 = 7:8
    ∴Empirical formula = C7H8

    Question 260
    CBSEENCH11008077

    Experimentally it was found that a metal oxide has formula M0.98O. Metal M, is present as M2+ and M3+ in its oxide. The fraction of the metal which exists as M3+ would be:

    • 7.01%

    • 4.08%

    • 6.05%

    • 5.08%

    Solution

    B.

    4.08%

    Metal oxide = M0.98O
    If ‘x’ ions of M are in +3 state, then
    3x + (0.98 – x) × 2 = 2
    x = 0.04
    So the percentage of metal in +3 state would befraction numerator 0.04 over denominator 0.98 end fraction space straight x 100 space equals space 4.08 percent sign

    Question 261
    CBSEENCH11008111

    The most abundant element by mass in the body of a healthy human adult are :
    Oxygen (61.4%) ; Carbon (22.9%), Hydrogen(10.0%) ; and Nitrogen (2.6%). The weight which a 75 kg person would gain if all 1H atoms are replaced by 2H atoms is

    • 15 kg

    • 37.5 Kg

    • 7.5 Kg

    • 40 Kg

    Solution

    C.

    7.5 Kg

    Mass in the body of a healthy human adult has :-
    Oxygen = 61.4%, Carbon = 22.9%,
    Hydrogen = 10.0% and Nitrogen = 2.6%
    Total weight of person = 75 kg
    Mass due to 1H is =
    (10/100)x 75 = 7.5kg
    1H atoms are replaced by 2H atoms.
    So mass gain by person =7.5 kg

    Question 264
    CBSEENCH11008218

    The ratio of mass percent of C and H of an organic compound (CXHYOZ) is 6: 1. If one molecule of the above compound (CXHYOZ) contains half as much oxygen as required to burn one molecule of compound CXHY completely to CO2 and H2O. The empirical formula of compound CXHYOZ is

    • C2H4O3

    • C3H6O3

    • C2H4O

    • C3H4O2

    Solution

    A.

    C2H4O3

    The ratio of mass % of C and H in CxHyOz is 6: 1.
    Therefore,
    The ratio of mole % of C and H in CxHyOz will be 1: 2.
    Therefore x : y = 1 : 2, which is possible in options 1, 2 and 3.
    Now oxygen required to burn CxHy

    CxHy + x + y4O2      xCO2 + y2H2O

    Now z is half of the oxygen atoms required to burn CxHy

     z = (2x +y2)2 = x + y4

    Now putting values of x and y from the given options:
    Option (1), x = 2, y = 4

    z = 2 + 44 = 3Option 2, x = 3, y = 6z = 3 + 64 = 4.5Therefore correnct (C2H4O3)

    Question 266
    CBSEENCH11008256

    How many grams of the concentrated nitric solution should be used to prepare 250 mL o 2.0M HNO3 ? The concentrated acid is 70% HNO3.

    • 45.0 g conc. HNO3

    • 90.0 g conc. HNO3

    • 70.0 g conc. HNO3

    • 54.0 g conc. HNO3

    Solution

    A.

    45.0 g conc. HNO3

    Given, molarity of solution = 2
    Volume of solution = 250 mL = 250/1000 = 1/4 L
    Molar mass of 
    HNO3 = 1+14+3 x 16 = 63 g mol-1
    therefore, Molarity
    fraction numerator weight space of space HNO subscript 3 over denominator mass space of space HNO subscript 3 space straight x space volume space of space solution space left parenthesis straight L right parenthesis end fraction
therefore comma
Weight space of space HNO subscript 3 space equals space molarity space straight x space space mol. mass space straight x space volume space left parenthesis straight l right parenthesis

equals 2 space straight x space 63 space straight x space 1 fourth straight g space equals space 31.5 space straight g
It space is space the space weight space of space 100 percent sign space HNO subscript 3
But space the space given space acid space is space 70 percent sign space HNO subscript 3

therefore comma
its space weight space equals space 31.5 space straight x space 100 over 70 space straight g space equals space 45 space straight g

    Question 267
    CBSEENCH11008309

    Mole fraction of the solute in a 1.00 molal aqueous solution is 

    • 0.0177

    • 0.0344

    • 1.7700

    • 0.1770

    Solution

    A.

    0.0177

    1.00 molal aqueous solution = 1.0 mole in 1000 g water nsolute = 1; Wsolvent = 1000g
    nsolvent = 1000/18 = 55.56
    Xsolute = 1/ 1+ 55.56 = 0.0177

    Question 269
    CBSEENCH11008323

    If Avogadro number NA, changed from 6.022 x 1023 mol-1 this would change

    • the definition of mass in units of grams

    • the mass of one mole of carbon

    • the ratio of chemical species to each other in the balanced equation

    • the ratio of elements to each other in a compound

    Solution

    B.

    the mass of one mole of carbon

    If Avogadro number NA, is changed from 6.022 x 1023 mol-1 to 6.022 x 1020 mol-1 this would change the mass of one mole of carbon.
    therefore,
    1 mole of carbon has mass = 12 g
    or 6.022 x 1023 atoms of carbon have mass = 12 g 
    therefore, 6.022 x 1020 atoms of carbon have mass

    fraction numerator 12 over denominator 6.022 space straight x space 10 to the power of 23 end fraction space x space 6.022 space x space 10 to the power of 20 space equals space 0.012 g

    Question 270
    CBSEENCH11008328

    20.0 g of a magnesium carbonate sample decomposes on heating to give carbon dioxide and 8.0 g magnesium oxide. What will be the percentage purity of magnesium carbonate in the sample? (Atomic weight of Mg =24)

    • 75

    • 96

    • 60

    • 84

    Solution

    D.

    84

    In the given problem we have a practical yield of MgO. For calculation of percentage yield of MgO. we need a therortical yield of MgO. For this, we shall use mole concept.
    MgCO3(s) → MgO (s) + CO2(g)  .. (i)

    Moles space of space MgCO subscript 3 subscript space space end subscript equals space fraction numerator weight space in space gram over denominator Molecular space weight end fraction

space equals space 20 over 84 space equals space 0.238 space mol

From space eq space left parenthesis straight i right parenthesis space
1 space mole space of space MgCO subscript 3 space gives space equals space 1 space mol space MgO
there space 0.238 space mole space MgCO subscript 3 space will space give space equals space 0.238 space mol space MgO
space equals space 0.238 space straight x space 40 space straight g space equals space 9.52 space straight g space MgO
Now comma space practical space yield space of space MgO space equals space 8 space straight g space
therefore comma space percent sign purity space equals space fraction numerator 8 over denominator 9.52 end fraction space straight x space 100 space equals space 84 percent sign

bold Alternate bold space bold Method
stack MgCO subscript 3 with 84 space straight g below space rightwards arrow space stack MgO space with 40 space straight g below plus space CO subscript 2

therefore comma space 8 space straight g space MgO space will space form space 84 over 5 straight g
therefore space comma percent sign space purity space equals space 84 over 5 space straight x space 100 over 20 space equals space 84 percent sign

    Question 271
    CBSEENCH11008331

    What is the mass of precipitate formed when 50 mL of 16.9% solution of AgNO3 is mixed with 50 mL of 5.8% NaCl solution?

    (Ag = 107.8, N = 14, O = 16, Na = 23, Cl = 35.5)


    • 28 g

    • 3.5 g 

    • 7 g 

    • 14 g 

    Solution

    C.

    7 g 

    For the calculation of the mass of AgCl precipitate, we find the mass of AgNO3 and NaCl in equal volume with the help of mole concept. 16.9% solution of AgNO3 means 16.9 g AgNO3 is present in 100 mL solution.
    therefore, 8.45 g AgNO3 will present in 50 mL solution similarly,
    5.8 g NaCl is present in 100 ml solution
    stack space space space space space space space space space space space space space space space space space space space space space space space space with Initial space mole below space space stack space AgNO subscript 3 with fraction numerator 8.45 over denominator 169.8 end fraction below space plus space NaCl with fraction numerator 2.9 over denominator 58.5 end fraction space space space space space space below space rightwards arrow space AgCl with 0 below space plus space stack NaNO subscript 3 with 0 below
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 equals space 0.049 space space space space space equals 0.049
After space reaction space space space space space space 0 space space space space space space space space space space space space space space space space space space 0 space space space space space space space space space 0.049 space space space space space space space space space 0.049
therefore comma space Mass space of space AgCl space precipitated
space equals space 0.049 space straight x space 143.5 space equals 7 space straight g

    Question 273
    CBSEENCH11008336

    The number of water molecules is maximum in 

    • 18 molecules of water

    • 1.8 g of water

    • 18 g of water

    • 18 moles of water

    Solution

    D.

    18 moles of water

    Mole is the biggest unit to measure the number of molecules/atom/ions.
    therefore, 
    1 mole of water contains molecules = 6.02 x 1023
    therefore, 18 moles of water contain molecules


    = 18 x 6.02 x 1023 molecules 
    Now, 1 mole of water = 18 g of water
    Hence, number of molecules in 18 g of water
     = 6.02 x1023
    and 1.8 g of water contains  = 6.02 x 1022 molecules.
    Question 274
    CBSEENCH11008337

    Which has the maximum number of molecules among the following?

    • 44 g CO2

    • 48 g O3

    • 8 g H2

    • 64 g SO2

    Solution

    A.

    44 g CO2

    44 g CO2 = 1 mol CO2 = NA molecules of CO2

    48 g O3 = 1 mol O3 = NA molecules of O3
    8 g H2 = 4 mol H2 = 4 x NA molecules of H2
    64 g SO2 = 1 mol SO2 = NA molecules of SO2

    Question 275
    CBSEENCH11008353

    The number of atoms in 0.1 moles of a triatomic gas is (NA = 6.02 x 1023 mol-1)

    • 6.026 x 1022

    • 1.806 x 1023

    • 3.600 x 1023

    • 1.800 x 1022

    Solution

    B.

    1.806 x 1023

    Number of atoms = number of moles x NA x atomicity
    = 0.1 x 6.02 x 1023 x 3
    = 1.806 x 1023 atoms

    Question 276
    CBSEENCH11008392

    10 g of hydrogen and 64 of oxygen were filled in a steel vessel and exploded. Amount of water produced in this reaction will be


    • 2 mol

    • 3 mol

    • 4 mol

    • 1 mol

    Solution

    C.

    4 mol

    straight i space right parenthesis space straight H subscript 2 space plus 1 half straight O subscript 2 space rightwards arrow straight H subscript 2 straight O
    Amount of water produced is decided by limited reactant (ie, the reactant which is used in small amount)

    straight H subscript 2 space space space space space space plus space space space space space 1 half straight O subscript 2 space space space space space rightwards arrow space space space space straight H subscript 2 straight O

1 space mol space space space space space space space space space space 1 half space mol space space space space space space space space space space space space space space 1 space mol

10 over 2 space mol space space space space space space space space 64 over 31 space mol space space space space space space space space space space space ?

equals space 5 mol space space space space space space space space space equals space 2 space mol space
therefore comma space
1 half space mol space of space straight O subscript 2 space gives space space equals space 1 space mol space space straight H subscript 2 straight O
therefore comma space
2 space mol space straight O subscript 2 space will space give space space equals space 1 space straight x space 2 space straight x space 2 space space equals space 4 space mol.
    Question 278
    CBSEENCH11008414

    An Organic compound contains carbon, hydrogen and oxygen. Its elemental analysis gave C, 38.71% and H, 9.67%. The empirical formula of the compound would be

    • CH3O

    • CH2O

    • CHO

    • CH4O

    Solution

    A.

    CH3O

    Element % At. wt Relative no. of atoms Simplest ratio of atoms
    C 38.71 12 3.23 3.23/3.23 = 1
    H 9.67 1 9.67 9.67/3.23 = 3
    O 51.62 16 3.23 3.23/3.23
     
    Hence empirical formula is CH3O.
    Question 279
    CBSEENCH11008415

    How many moles of lead (II) chloride will be formed from a reaction between 6.5 g of PbO and 3.2 g of HCl?

    • 0.044

    • 0.333

    • 0.011

    • 0.029

    Solution

    D.

    0.029

    The reagent which is present in smaller quantity is called the limiting reagent and the moles of product depends on it and number of moles
     
     =fraction numerator weight over denominator molecular space weight end fraction
    PbO with 207.2 plus 16 below space space space space space space space plus stack space 2 space HCl space with 2 space left parenthesis 35.5 space plus 1 right parenthesis below space rightwards arrow space stack PbCl subscript 2 with 207.2 space plus 71 below space space space plus space space straight H subscript 2 straight O
space equals space 223.2 space space space space space space space space space space equals 73 space space space space space space space space space space space space space space space equals 278.2
    Here, 1 mole of PbO reacts with 2 moles of HCl, thus PbO is the limiting reagent
    because space 223.2 space straight g space PbO space gives space PbCl subscript 2 space equals space 278.2 space straight g
therefore space 6.5 space straight g space PbO space will space give space PbCl subscript 2
space equals space fraction numerator 278.2 over denominator 232.2 end fraction space straight x space 6.5 space straight g
equals space fraction numerator 278.2 space straight x space 6.5 over denominator 223.2 space straight x space 278.2 end fraction space mol
    0.029 mol

    Question 280
    CBSEENCH11008433

    An element, X has the following isotopic composition;


    200X: 90%

    199X : 8.0%

    202X ; 2.0 %

    The weighted average atomic mass of the naturally -occurring element X is closet to:

    • 200 amu

    • 201 amu

    • 202 amu

    • 199 amu

    Solution

    A.

    200 amu

    Weight of  200X = 0.90 x 200 = 180.00 amu
    Weight of 199X  = 8.08 x 199 = 15.92 amu
    Weight 0f  202X =  0.02 x 202 = 4.04 amu
    Total weight = 199.06 = 200 amu

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