   Chapter 8, Problem 47PS

Chapter
Section
Textbook Problem

Consider the nitrogen-oxygen bond lengths in NO2+, NO2−, and NO3− In which ion is the herd predicted to be longest. In which is it predicted to be the shortest? Explain briefly.

Interpretation Introduction

Interpretation:

The ions which have the highest and shortest NO length from the given list have to be determined.

Concept Introduction:

Fractional bond order: The molecules which have resonance structures possess fractional bond order.

Bond order between any bonded pair of atoms X and Y:

Bond length is inversely proportional to the bond order.

A higher bond order results in a shorter bond for a given pair of atoms.

Explanation

Bond order for the compounds having resonance structures can be calculated by the general equation:[If the bond pair have the atoms X and Y]

Bond order of NO bonds in NO2 is calculated as follows:

In NO2, one NO single bond and one N=O double bond is present.

The number of shared pairs is three and there are two nitrogen-oxygen links.

Bondorder=32=1.5

Bond order of NO bonds in NO2+ is calculated as follows:

In NO2+, two N=O double bonds are present

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