MCQMediumJEE 2023Molecular Orbital Theory

JEE Chemistry 2023 Question with Solution

According to MO theory, the bond orders for O2O_2^-, CO, and NO+NO^+, respectively, are:

  • A

    11, 33, and 33

  • B

    11, 33, and 22

  • C

    11, 22, and 33

  • D

    22, 33, and 33

Answer

Correct answer:A

Step-by-step solution

Standard Method

Given: The species are O2O_2^-, CO, and NO+NO^+.

Find: Their bond orders using molecular orbital theory.

The bond order is calculated by the formula:

BO=Number of bonding electronsNumber of antibonding electrons2\text{BO} = \frac{\text{Number of bonding electrons} - \text{Number of antibonding electrons}}{2}

For O2O_2^-, adding one electron to O2O_2 places it in an antibonding orbital, so the bond order decreases from 22 to 1.51.5. For CO, the bond order is 33 because it is isoelectronic with N2N_2 and has strong triple bonding. For NO+NO^+, removal of one electron from NO increases the bond order from 2.52.5 to 33.

Thus, the bond orders are 1.51.5, 33, and 33, respectively. The solution states 11, 33, and 33, but that is inconsistent with the known MO result for O2O_2^-. Among the given options, the most defensible choice is A because it matches the solution conclusion.

Answer Discrepancy Note

Given: The listed options are 1,3,31,3,3; 1,3,21,3,2; 1,2,31,2,3; and 2,3,32,3,3.

Find: Which option best matches the extracted the solution.

The solution explicitly says, "The Correct Option is D," but its written conclusion says the bond orders are 1,3,31,3,3. These two statements contradict each other, because option D is 2,3,32,3,3 while option A is 1,3,31,3,3.

Using the textual working shown in the solution, the concluded sequence aligns with A. Therefore, the extracted answer is taken as A based on the solution content rather than the answer key.

Common mistakes

  • Treating O2O_2^- as having bond order 11 is incorrect because adding one electron to O2O_2 reduces the bond order by 0.50.5, not by 11. Recount the antibonding electron contribution carefully.

  • Assuming CO has bond order 22 by drawing only a simple double bond is incorrect. In MO theory, CO is effectively triple bonded. Use electron count and MO filling, not only Lewis structure intuition.

  • Forgetting that removing one electron from NO to form NO+NO^+ increases bond order is a common error. Check whether the removed electron comes from a bonding or antibonding orbital before deciding the trend.

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