The correct order of increasing $C - O$ bond strength of $C O, C {O_{3}}^{2 -}, C O_{2}$ is :

C {O_{3}}^{2 -} < C O_{2} < C O

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C O_{2} < C {O_{3}}^{2 -} < C O

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C O < C {O_{3}}^{2 -} < C O_{2}

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C O < C O_{2} < C {O_{3}}^{2 -}

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Solution

The correct option is C $C {O_{3}}^{2 -} < C O_{2} < C O$
Bond length is inversely proportional to bond order. Bond order depends on number of bonds. Here $C O$ has triple bonds, $C O_{2}$ has double bonds. However, for $(C O_{3})^{- 2}$ has bond character between single and double bond due to resonance.
Hence bond length will have order of $(C O_{3})^{- 2} > C O_{2} > C O$
Order of bond strength is inverse of bond length.

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