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JEE Main 202329 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
29 January
Shift
Evening Shift
Subject
Chemistry
Chapter
Chemical Bonding and Molecular Structure

JEE Main 2023 · 29 January · Evening Shift · Chemistry · Chemical Bonding and Molecular Structure

According to MO theory the bond orders for O _ 2 ^ 2 - , CO and NO...

According to MOMO theory the bond orders for O22−{{O}_{2}}^{2 -}, COCO and NO+{NO}^{+} respectively, are

Options

  1. A1,31, 3 and 33
  2. B1,31, 3 and 22
  3. C1,21, 2 and 33
  4. D2,32, 3 and 33

Correct answer

A. 1,31, 3 and 33

Step-by-step solution

(i) Molecular orbital configuration of O22−{O}_{2}^{2 -} is KK(σ2s)2(σ∗2s)2휋(2px)2휋(2py)2(σ2pz)2휋∗(2px)2휋∗(2py)2KK ( \sigma2s{)}^{2} ( \sigma * 2s{)}^{2} 휋 ( 2{p}_{x}{)}^{2} 휋 ( 2{p}_{y}{)}^{2} ( \sigma2{p}_{z}{)}^{2} 휋 * ( 2{p}_{x}{)}^{2} 휋 * ( 2{p}_{y}{)}^{2}

Bond order = 12(Nb−Na)=12(8−6)=1\dfrac{1}{2} ( {N}_{b} - {N}_{a} )=\dfrac{1}{2}\left(8 - 6\right) = 1

(ii) Molecular orbital configuration of COCO is KK(σ2s)2(σ∗2s)2휋(2px)2휋(2py)2(σ2pz)2KK ( \sigma2s{)}^{2} ( \sigma * 2s{)}^{2} 휋 ( 2{p}_{x}{)}^{2} 휋 ( 2{p}_{y}{)}^{2} ( \sigma2{p}_{z}{)}^{2}

Bond order = 12(Nb−Na)=12(8−2)=3\dfrac{1}{2} ( {N}_{b} - {N}_{a} )=\dfrac{1}{2}\left(8 - 2\right) = 3

(iii) Molecular orbital configuration of NO+{NO}^{+} is KK(σ2s)2(σ∗2s)2휋(2px)2휋(2py)2(σ2pz)2KK ( \sigma2s{)}^{2} ( \sigma * 2s{)}^{2} 휋 ( 2{p}_{x}{)}^{2} 휋 ( 2{p}_{y}{)}^{2} ( \sigma2{p}_{z}{)}^{2}

Bond order = 12(Nb−Na)=12(8−2)=3\dfrac{1}{2} ( {N}_{b} - {N}_{a} )=\dfrac{1}{2}\left(8 - 2\right) = 3

So, according to molecular orbital theory, the bond orders respectively are 1, 3 and 3.

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