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Q.

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

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a

O22-

b

O2-

c

O22+

d

O2+

answer is B.

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Detailed Solution

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O2-2(18e-):σ1s2σ*1s2σ2s2σ*2s2σ2px2π2py2π2pz2π*2py2π*2pz2 ; B.O=10-82=1

O2+2(14e-) : σ1s2σ*1s2σ2s2σ*2s2σ2px2π2py2π2pz2 ; B.O=10-42=3

O2+(15e-) : σ1s2σ*1s2σ2s2σ*2s2σ2px2π2py2π2pz2π*2py1 ;  B.O=10-52=2.5

O2-(17e-):σ1s2σ*1s2σ2s2σ*2s2σ2px2π2py2π2pz2π*2py2π*2pz1 ; B.O=10-72=1.5

Bond order1Bond length

So, O22+  has the shortest bond length.

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