Question

Which of the following options represents the correct bond order?

A. $$O_2^ - > {O_2} > O_2^ + $$
B. $$O_2^ - < {O_2} < O_2^ + $$  
C. $$O_2^ - > {O_2} < O_2^ + $$
D. $$O_2^ - < {O_2} > O_2^ + $$
Answer :   $$O_2^ - < {O_2} < O_2^ + $$
Solution :
$${\text{Bond order of}}\,\,O_2^ - $$
$$O_2^ - = \sigma 1{s^2},\mathop \sigma \limits^* 1{s^2},\sigma 2{s^2},$$      $$\mathop \sigma \limits^* 2{s^2}\,\sigma 2p_z^2\left( {\pi 2p_x^2 = \pi 2p_y^2} \right)$$     $$\left( {{\pi ^*}2p_x^1 = {\pi ^*}2p_y^1} \right)$$
$$\eqalign{ & {\text{Bond}}\,\,{\text{order}} \cr & = \frac{{{\text{number}}\,\,{\text{of}}\,\,{\text{electron}}\,\,{\text{in}}\,\,BMO - {\text{number}}\,\,{\text{of}}\,\,{\text{electrons}}\,\,ABMO}}{2} \cr & = \frac{{10 - 7}}{2} \cr & = \frac{3}{2} \cr & = 1.5 \cr} $$
$$O_2^ + = \sigma 1{s^2},\mathop \sigma \limits^* 1{s^2},\sigma 2{s^2},$$      $$\mathop \sigma \limits^* 2{s^2}\,\sigma 2p_z^2\left( {\pi 2p_x^2 = \pi 2p_y^2} \right)$$     $$\left( {{\pi ^*}2p_x^1 = {\pi ^*}2p_y^0} \right)$$
$$\eqalign{ & BO = \frac{{10 - 5}}{2} \cr & \,\,\,\,\,\,\,\,\,\, = \frac{5}{2} \cr & \,\,\,\,\,\,\,\,\,\, = 2.5 \cr} $$
$${O_2} = \sigma 1{s^2},\mathop \sigma \limits^* 1{s^2},\sigma 2{s^2},$$      $$\mathop \sigma \limits^* 2{s^2}\,\sigma 2p_z^2\left( {\pi 2p_x^2 = \pi 2p_y^2} \right)$$     $$\left( {{\pi ^*}2p_x^1 = {\pi ^*}2p_y^1} \right)$$
$$\eqalign{ & BO = \frac{{10 - 6}}{2} \cr & \,\,\,\,\,\,\,\,\,\, = \frac{4}{2} \cr & \,\,\,\,\,\,\,\,\,\, = 2 \cr & {\text{So, the correct sequence is}} \cr & O_2^ - < {O_2} < O_2^ + \cr} $$

Releted MCQ Question on
Inorganic Chemistry >> Chemical Bonding and Molecular Structure

Releted Question 1

The compound which contains both ionic and covalent bonds is

A. $$C{H_4}$$
B. $${H_2}$$
C. $$KCN$$
D. $$KCl$$
Releted Question 2

The octet rule is not valid for the molecule

A. $$C{O_2}$$
B. $${H_2}O$$
C. $${O_2}$$
D. $$CO$$
Releted Question 3

Element $$X$$ is strongly electropositive and element $$Y$$ is strongly electronegative. Both are univalent. The compound formed would be

A. $${X^ + }{Y^ - }$$
B. $${X^ - }{Y^{ + \,}}$$
C. $$X - Y$$
D. $$X \to Y$$
Releted Question 4

Which of the following compounds are covalent?

A. $${H_2}$$
B. $$CaO$$
C. $$KCl$$
D. $$N{a_2}S$$

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Chemical Bonding and Molecular Structure


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