Chemical Bonding Result Question 17

17. The correct order of increasing $\mathrm{C}-\mathrm{O}$ bond length of $\mathrm{CO}, \mathrm{CO}_3^{2-}, \mathrm{CO}_2$ is

(1999, 2M)

(a) $\mathrm{CO}_3^{2-}<\mathrm{CO}_2<\mathrm{CO}$

(b) $\mathrm{CO}_2<\mathrm{CO}_3^{2-}<\mathrm{CO}$

(c) $\mathrm{CO}<\mathrm{CO}_3^{2-}<\mathrm{CO}_2$

(d) $\mathrm{CO}<\mathrm{CO}_2<\mathrm{CO}_3^{2-}$

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Answer:

Correct Answer: 17. ( a )

Solution:

  1. Bond length $\propto \frac{1}{\text { Bond order }}$

Bond order : $\mathrm{CO}_2=2, \mathrm{CO}=3, \mathrm{CO}_3^{2-}=1+\frac{1}{3}=\frac{4}{3}$

Therefore, order of bond length is $\mathrm{CO}_3^{2-}<\mathrm{CO}_2<\mathrm{CO}$