Question

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

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

Solution

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

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

$straight N subscript 2 space left parenthesis space 7 plus 7 space equals space 14 right parenthesis space equals space straight sigma 1 straight s squared comma space straight sigma asterisk times 1 straight s squared comma straight sigma 2 straight s squared comma space straight sigma asterisk times 2 straight s squared comma space straight pi 2 straight p subscript straight x squared almost equal to straight pi 2 straight p subscript straight y squared comma straight sigma 2 straight p subscript straight z squared BO space equals space fraction numerator 10 minus 4 over denominator 2 end fraction space equals space 3 straight N subscript 2 superscript minus space left parenthesis 7 plus 7 plus 1 space equals space 15 right parenthesis equals space straight sigma 1 straight s squared comma space straight sigma asterisk times 1 straight s squared comma straight sigma 2 straight s squared comma space straight sigma asterisk times 2 straight s squared comma space straight pi 2 straight p subscript straight x squared almost equal to straight pi 2 straight p subscript straight y squared comma straight pi asterisk times 2 straight p subscript straight x to the power of 1 BO space equals space fraction numerator 10 minus 5 over denominator 2 end fraction space equals space 2.5 straight N subscript 2 superscript 2 minus end superscript space left parenthesis space 7 plus 7 plus 2 space equals space 16 right parenthesis equals space straight sigma 1 straight s squared comma space straight sigma asterisk times 1 straight s squared comma straight sigma 2 straight s squared comma space straight sigma asterisk times 2 straight s squared space σp subscript straight z squared comma space straight pi 2 straight p subscript straight x squared almost equal to straight pi 2 straight p subscript straight y squared comma straight sigma 2 straight p subscript straight x to the power of 1 space almost equal to straight pi asterisk times 2 straight p subscript straight y to the power of 1 BO space equals space fraction numerator 10 minus 6 over denominator 2 end fraction space equals space 2 Hence space comma space the space increasing space order space of space straight B. straight O space is comma straight N subscript 2 superscript 2 minus end superscript space less than space straight N subscript 2 superscript minus space less than straight N subscript 2$

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Chemical Bonding And Molecular Structure

Some More Questions From Chemical Bonding and Molecular Structure Chapter

What bond is present in MgCl₂ molecules?

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

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

Two elements A and B have the electronic configuration as:
A = 1s²2s²2p⁶3s² and B = 1s²2s²2p⁵Write the empirical formula of the substance containing A and B.

What type of bonding would you expect between:
(i) a metal and a non-metal
(ii) a non-metal and another non-metal?

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

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

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

Is a covalent molecule always formed between two similar atoms?

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

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