-->

Chemical Bonding And Molecular Structure

Question
CBSEENCH11008287

The pair of species with t he same bond order is 

  • O22-, B2

  • O2+, NO+

  • NO, CO

  • N2, O2

Solution

A.

O22-, B2

straight sigma 1 straight s squared comma space straight sigma asterisk times 1 straight s squared comma space straight sigma 2 straight s squared comma straight sigma asterisk times 2 straight s squared comma straight sigma 2 straight p subscript straight z superscript 2 comma space straight pi 2 straight p subscript straight x superscript 2 almost equal to straight pi 2 straight p subscript straight y superscript 2 space comma space straight pi asterisk times 2 straight p subscript straight x superscript 2 almost equal to straight pi asterisk times 2 straight p subscript straight y superscript 2
Bond space order space space equals space fraction numerator straight N subscript straight b minus straight N subscript straight a over denominator 2 end fraction
left parenthesis where space straight N subscript straight b space equals space number space of space electrons space in space bonding space molecular space orbital
straight N subscript straight a space equals space number space of space electrons space in space anti minus bonding space molecular space orbital right parenthesis
straight O subscript 2 superscript 2 minus end superscript space left parenthesis 8 plus 8 plus 2 equals 18 right parenthesis
BO space equals space fraction numerator straight N subscript straight b minus straight N subscript straight a over denominator 2 end fraction space equals space fraction numerator 10 minus 8 over denominator 2 end fraction space equals 1
straight B subscript 2 space left parenthesis 5 plus 5 space equals space 10 right parenthesis space equals space straight sigma 1 straight s squared comma space straight sigma asterisk times 1 straight s squared comma space straight sigma 2 straight s squared comma straight sigma asterisk times 2 straight s squared comma straight pi 2 straight p subscript straight x superscript 1 almost equal to straight pi 2 straight p subscript straight y superscript 1 space

BO equals space fraction numerator 6 minus 4 over denominator 2 end fraction
similarly space comma space order space of semicolon

straight O subscript 2 superscript plus space equals space 2.5 comma space NO to the power of plus space equals space 3
NO space equals space 2.5 comma space CO space equals space 3
straight N subscript 2 space equals space 3 space and space straight O subscript 2 space equals 2