Chemical Bonding And Molecular Structure Ques 7

7. Four diatomic species are listed below. Identify the correct order in which the bond order is increasing in them:

[2008, $2012 M$ ]

(a) $NO<O_2^{-}<C_2^{2-}<He_2^{+}$

(b) $O_2^{-}<NO<C_2^{2-}<He_2^{+}$

(c) $C_2^{2-}<He_2^{+}<O_2^{-}<NO$

(d) $He_2^{+}<O_2^{-}<NO<C_2^{2-}$

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Answer:

Correct Answer: 7.(d)

Solution:

(d) Calculating the bond order of various species.

$O_2^{-}: KK \sigma 2 s^{2} \sigma^{*} 2 s^{2} \sigma 2 p_z^{2}$

$\pi 2 p_x^2 \quad \pi 2 p_y^2 \quad \pi^* 2 p_x^2 \quad \pi^* 2 p_y^1 $

Number of electrons in bonding B.O. $=\frac{\text{ Number of electrons in bonding - Number of electrons in non-bonding }}{2}$ $=\frac{8-5}{2}$ or 1.5

NO: $KK \sigma 2 s^2 \sigma^* 2 s^2 \pi 2 p_x^2 \approx \pi 2 p_y^2 \sigma 2 p_z^2 \pi^* 2 p_x^1$

B.O. $=\frac{N_b-N_a}{2}=\frac{8-2}{2}$ or 2.5

$C_2^{2-}: k k \sigma 2 s^{2} \quad \sigma^{*} 2 s^{2} \quad \pi 2 p_x^{2} \quad \pi 2 p_y^{2} \sigma 2 p_z^{2}$

B.O. $=\frac{N_b-N_a}{2}=\frac{8-2}{2}$ or 3

$He_2^{+}=\sigma 1 s^{2} \sigma^{*} 1 s^{1}$

B. O. $=\frac{N_b-N_a}{2}=\frac{2-1}{2}$ or 0.5

From these values we find the correct order of increasing bond order is

$He_2^{2+}<O_2^{-}<NO<C_2^{2-}$