Are My Bond Length Arrangements Correct?

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chaoseverlasting
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Homework Statement



Arrange in increasing order of bond length: CO, CO2, CO3^2-

The Attempt at a Solution



CO2 has double bonds, CO has back bonds and Co3 2- has a partial double bond (resonance), so it should be CO2>Co3 2->CO. Is that right?
 
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SOmebody?
 
Yeah. When I draw the MO diagrams of the three molecules to find the bond order, the answer is exactly the reverse though.