Chemical Bonding And Molecular Structure Ques 124

124. The correct bond order in the following species is:

[2015]

(a) $O_2^{2+}<O_2^{-}<O_2^{+}$

(b) $O_2^{+}<O_2^{-}<O_2^{2+}$

(c) $O_2^{-}<O_2^{+}<O_2^{2+}$

(d) $O_2^{2+}<O_2^{+}<O_2^{-}$

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Answer:

Correct Answer: 124.(c)

Solution:

(c) $O_2^{+}$ion - Total number of electrons $(16-1)=15$.

Electronic configuration

$ \sigma 1 s^2 < \sigma^* 1 s^2 < \sigma 2 s^2 < \sigma^* 2 s^2 < \sigma 2 p_x^2 $

$\hspace{30mm} <\pi 2 p_y^{2} =\pi 2 p_z^{2}<\pi^{*} 2 p_y^{1}$

Bond order $=\frac{N_b-N_a}{2}=\frac{10-5}{2}=\frac{5}{2}=2 \frac{1}{2}$

$O_2^{-}$(Super oxide ion): Total number of electrons $(16+1)=17$.

Electronic configuration

$\sigma 1 s^2 < \sigma^* 1 s^2 < \sigma 2 s^2 < \sigma^* 2 s^2 < \sigma 2 p_x^2$

$\hspace{30mm} < \pi 2 p_y^2=\pi 2 p_z^2 < \pi^* 2 p_y^2=\pi^* 2 p_z^1$

Bond order $=\frac{(N_b-N_a)}{2}=\frac{10-7}{2}=\frac{3}{2}=1 \frac{1}{2}$

$O_2^{+2}$ ion: Total number of electrons

$=(16-2)=14$ Electronic configuration

$\sigma 1 s^2 < \sigma^* 1 s^2 < \sigma 2 s^2 < \sigma^* 2 s^2 < \sigma 2 p_x^2 < \pi 2 p_y{ }^2$

$=\pi 2 p_z^{2}$

Bond order $=\frac{(N_b-N_a)}{2}=\frac{10-4}{2}=\frac{6}{2}=3$

So bond order: $O_2{ }^{-}<O_2{ }^{+}<O_2{ }^{2+}$