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Question

Using MOT, predict which of the following species has the shortest bond length ?


A
O+2
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B
O2
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C
O22
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D
O2+2
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Solution

The correct option is D O2+2
Molecular orbital configuration of O+2 :
σ1s2 > σ1s2 > σ2s2 > σ2s2 > σ2px2 > π2py2 = π2pz2 > π2py1 = π2pz0
Bond order of O+2 = NbNa2 = 1052 = 2.5
Molecular orbital configuration of O2 :
σ1s2 > σ1s2 > σ2s2 > σ2s2 > σ2px2 > π2py2 = π2pz2 > π2py2 = π2pz1
Bond order of O2 = 1072 = 1.5
Molecular orbital configuration of O22 :
σ1s2 > σ1s2 > σ2s2 > σ2s2 > σ2px2 > π2py2 = π2pz2 > π2py2 = π2pz2
Bond order of O22 = 1082 = 1
Molecular orbital configuration of O2+2 :
σ1s2 > σ1s2 > σ2s2 > σ2s2 > σ2px2 > π2py2 = π2pz2 > π2py0 = π2pz0
Bond order of O2+2 = 1042 = 3

As Bond order α 1Bond length

So, O2+2 has the shortest bond length.


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