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Question: The bond order in NO is 2.5 while that in NO+ is 3. Which of the following statements is true for th...

The bond order in NO is 2.5 while that in NO+ is 3. Which of the following statements is true for these two species?

A

Bond length in NO+ is greater than in NO

B

Bond length in NO is greater than in NO+

C

Bond length in NO+ is equal to that in NO

D

Bond length is unpredictable

Answer

Bond length in NO is greater than in NO+

Explanation

Solution

NO and NO+ are derivative of O2.

NO(isoelectronic with O2+) : (σ\sigma1s)2 (σ\sigma *1s)2 (σ\sigma2s)2

(σ\sigma *2s)2 (σ\sigma2pz)2 (π\pi2p2x = π\pi2p2y ) (π\pi *2px1 = π\pi *2py)

Bond order = 1/2(10 – 5) = 2.5.

NO+(isoelectronic with O22+) : (σ\sigma1s)2 (σ\sigma *1s)2 (σ\sigma2s)2 (σ\sigma *2s)2 (σ\sigma2pz)2 (π\pi2p2x = π\pi2p2y ) (π\pi *2px = π\pi *2py)

Bond order = 1/2(10 – 4) = 3.

Bond order \propto 1/bond length.

So NO+ has shorter bond length.