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COMEDK2021ChemistryChemical Bonding and Molecular Structure

Find the correct order of C - O bond length among CO , CO ₃²⁻, CO ₂ .

Options

  1. ACO ₂ < CO ₃²⁻ < CO
  2. BCO < CO ₃²⁻ < CO ₂
  3. CCO ₃²⁻ < CO ₂ < CO
  4. DCO < CO ₂ < CO ₃²⁻

Correct answer

D. CO < CO ₂ < CO ₃²⁻

Step-by-step solution

The bond length is inversely proportional to the bond order of the molecule or ion. For CO , the Lewis structure is :C O: , which gives a bond order of 3 . For CO ₂ , the structure is O=C=O , which gives a bond order of 2 . For CO ₃²⁻ , the resonance structures result in a bond order of 4 3 1.33 . Comparing the bond orders: 3 > 2 > 1.33 . Since bond length is inversely proportional to bond order, the order of bond lengths is CO Answer: CO < CO ₂ < CO ₃²⁻

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