Q.

Using MO theory predict which of the following species has the shortest bond length?

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a

O2-

b

O22+

c

O22-

answer is B.

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Detailed Solution

 Molecularorbitalconfigurationof O2+:  σ1s2>σ1s2>σ2s2>σ2s2>σ2px2>π2py2=π2pz2>π2py1=π2pz0  Bondorderof O2+=NbNa2=1052=2.5  Molecularorbitalconfigurationof O2:  σ1s2>σ1s2>σ2s2>σ2s2>σ2px2>π2py2=π2pz2>π2py2=π2pz1  Bondorderof O2=1072=1.5  Molecularorbitalconfigurationof O22  σ1s2>σ1s2>σ2s2>σ2s2>σ2px2>π2py2=π2pz2>π2py2=π2pz2  Bondorderof O22=1082=1  Molecularorbitalconfigurationof O22+  σ1s2>σ1s2>σ2s2>σ2s2>σ2px2>π2py2=π2pz2>π2py0=π2pz0  Bondorderof O22+=1042=3  Bondorder 1 Bondlength   SoO22+ hastheshortestbondlength

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