MCQEasyJEE 2025Molecular Orbital Theory

JEE Chemistry 2025 Question with Solution

Given below are two statements:

Statement I: Experimentally determined oxygen-oxygen bond lengths in the O2O_2 are found to be the same and the bond length is greater than that of a O=OO=O (double bond) but less than that of a single OOO-O bond. Statement II: The strong lone pair-lone pair repulsion between oxygen atoms is solely responsible for the fact that the bond length in ozone is smaller than that of a double bond O=OO=O but more than that of a single bond OOO-O.

In light of the above statements, choose the correct answer from the options given below:\text{In light of the above statements, choose the correct answer from the options given below:}

  • A

    Statement I is true but Statement II is false

  • B

    Statement I is false but Statement II is true

  • C

    Both Statement I and Statement II are false

  • D

    Both Statement I and Statement II are true

Answer

Correct answer:D

Step-by-step solution

Standard Method

Given: Two statements about bond lengths in O2O_2 and ozone are to be checked.

Find: Which option correctly identifies the truth values of Statement I and Statement II.

From the solution text:

  • Statement I is true: the oxygen-oxygen bond length is intermediate between a single OOO-O bond and a double O=OO=O bond.
  • Statement II is also true: in ozone, lone pair-lone pair repulsion affects the bond length, making it different from pure single and double bond values.

Therefore, both Statement I and Statement II are true.

The correct option is D.

Stepwise Evaluation

Given: Two statements discuss experimentally observed oxygen-oxygen bond lengths and their explanation.

Find: Decide whether each statement is true or false.

Step 1: Check Statement I. The solution states that the oxygen-oxygen bond length is greater than that of a double bond O=OO=O but less than that of a single bond OOO-O. Hence, Statement I is true.

Step 2: Check Statement II. The solution states that in ozone, lone pair-lone pair repulsion affects the bond length, giving a value longer than a pure double bond and shorter than a pure single bond. Hence, Statement II is true.

Step 3: Match with the options. The option saying both statements are true is option D.

Therefore, the correct option is D.

Common mistakes

  • Assuming that every oxygen-oxygen bond must be either purely single or purely double is incorrect because the given statements concern experimentally observed intermediate bond lengths. Compare the actual bond length with both reference bond types before judging the statement.

  • Rejecting Statement II because lone pair repulsion affects bond properties but not bond length is incorrect. The solution explicitly uses lone pair-lone pair repulsion as a factor influencing the observed ozone bond length, so this effect must be considered.

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