   # In terms of the molecular orbital model, which species in each of the following two pairs will roost likely be the one to gain an electron? Explain. a. CN or NO b. O 2 2+ or N 2 2+ ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 4, Problem 74E
Textbook Problem
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## In terms of the molecular orbital model, which species in each of the following two pairs will roost likely be the one to gain an electron? Explain.a. CN or NOb. O22+ or N22+

(a)

Interpretation Introduction

Interpretation: On the basis of molecular orbital diagram, the species among each of the given two pairs that will most likely gain an electron is to be stated.

Concept introduction: When the atomic orbitals overlap with each other in the region where density of electrons is high, then molecular orbitals are formed. Overlap of the atomic orbitals determines the efficiency of the interaction between the atomic orbitals.

Energy of bonding molecular orbitals is less than the nonbonding molecular orbitals.

To determine: The molecule among CN and NO that will gain an electron.

### Explanation of Solution

Explanation

The CN molecule will gain an electron.

The number of valence electrons in carbon is 4 and valence electrons in nitrogen is 5 , thus number of valence electrons in CN is 4+5=9 . Therefore its electronic configuration is (σ2s)2(σ*2s)2(π2p)4(σ2p)1 . Its bond order is calculated as,

Bondorder=NumberofbondingelectronsNumberofantibondingelectrons2

In CN molecule, the number of bonding electron is 7 and the number of antibonding electrons is 2 .

Substitute the value of bonding and nonbonding electrons in the above equation.

Bondorder=722=52=2.5

When one electron is gained by CN molecule, it enters into bonding σ2p orbital. The bond order will increase from 2.5 to 3 . Since bond strength increases with increase in bond order, therefore CN molecule will gain an electron.

The number of valence electron in nitrogen is 5 and number of valence electrons in oxygen is 6

(b)

Interpretation Introduction

Interpretation: On the basis of molecular orbital diagram, the species among each of the given two pairs that will most likely gain an electron is to be stated.

Concept introduction: When the atomic orbitals overlap with each other in the region where density of electrons is high, then molecular orbitals are formed. Overlap of the atomic orbitals determines the efficiency of the interaction between the atomic orbitals.

Energy of bonding molecular orbitals is less than the nonbonding molecular orbitals.

To determine: The molecule among N22+ and O22+ that will gain an electron.

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