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Question

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

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

The correct option is A O2+2
1. O2+2:

Valence electrons =6+62=10

(σ2s)2(σ2s)2(π2p)4(σ2p)2

BO =12×(60)=3;

2. O+2:

Valence electrons =6+61=11

(σ2s)2(σ2s)2(σ2p)2(π2p)4(π2p)1

BO =12×(61)=2.5;

3. O2:

Valence electrons =6+6+1=13

(σ2s)2(σ2s)2(σ2p)2(π2p)4(π2p)3

BO =12×(63)=1.5;

4. O22:

Valence electrons =6+6+2=14

(σ2s)2(σ2s)2(σ2p)2(π2p)4(π2p)4

BO =12×(64)=1;

Bond length 1bond order

O2+2 has the highest bond order and smallest bond length.

Hence, the correct option is A.

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