Chemical Bonding And Molecular Structure Ques 125

125. Which of the following options represents the correct bond order?

[2015]

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

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

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

(d) $O_2^{-}>O_2>O_2^{+}$

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Answer:

Correct Answer: 125.(a)

Solution:

(a) Oxygen molecule $(O_2)$ - Total number of electrons $=16$ and electronic configuration is

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

$\hspace{20mm} <\pi 2 p_y^2=\pi 2 p_z^2 < \pi^* 2 p_y^1=\pi^* 2 p_z^1 $

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

$O_2^{+}$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 $

$\hspace{20mm} <\pi 2 p_y^2 =\pi 2 p_z^2<\pi^* 2 p_y^1$

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 $

$\hspace{20mm} <\pi 2 p_y^2=\pi 2 p_z^2 < \pi^* 2 p_y^2=\pi^* 2 p_z^1$

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