MCQEasyJEE 2025Electronic Configuration

JEE Chemistry 2025 Question with Solution

The extra stability of half-filled subshell is due to

(A) Symmetrical distribution of electrons

(B) Smaller coulombic repulsion energy

(C) The presence of electrons with the same spin in non-degenerate orbitals

(D) Larger exchange energy

(E) Relatively smaller shielding of electrons by one another

Identify the correct statements

  • A

    (B), (D) and (E) only

  • B

    (A), (B), (D) and (E) only

  • C

    (B), (C) and (D) only

  • D

    (A), (B) and (D) only

Answer

Correct answer:B

Step-by-step solution

Standard Method

Given: The question asks which statements explain the extra stability of a half-filled subshell.

Find: Identify the correct set of statements.

From the solution text:

  1. Symmetrical distribution of electrons contributes to stability because the electron distribution is more balanced.
  2. Smaller coulombic repulsion energy is valid because electrons are distributed as evenly as possible, reducing repulsion.
  3. Statement (C) is not taken as the primary reason for extra stability. It describes Hund's rule, but that alone is not the special stabilizing factor being asked here.
  4. Larger exchange energy is a major reason for extra stability.
  5. Relatively smaller shielding of electrons by one another also contributes to stability according to the provided solution.

Therefore, the correct statements are (A), (B), (D) and (E) only.

So, the correct option is B.

The solution explicitly states that half-filled subshells are stabilized by symmetrical distribution, reduced coulombic repulsion, larger exchange energy, and relatively smaller shielding, while statement (C) is excluded.

Detailed Reasoning

Given: A half-filled subshell shows extra stability.

Find: Which among statements (A) to (E) are responsible.

Evaluate each statement:

  • (A) Symmetrical distribution of electrons: A half-filled subshell has a balanced arrangement of electrons. This symmetry is associated with greater stability.
  • (B) Smaller coulombic repulsion energy: When electrons occupy different orbitals singly, electron-electron repulsion is minimized compared to less symmetric arrangements.
  • (C) The presence of electrons with the same spin in non-degenerate orbitals: This reflects the filling pattern, but the provided solution does not treat it as the direct reason for the extra stability being asked.
  • (D) Larger exchange energy: A half-filled subshell has maximum possible exchange energy, which lowers the energy and increases stability.
  • (E) Relatively smaller shielding of electrons by one another: The provided solution includes this as a contributing factor.

Hence the correct combination is (A), (B), (D) and (E) only, which corresponds to option B.

Therefore, the correct option is B.

Common mistakes

  • Treating statement (C) as a direct reason for extra stability is incorrect. It describes the spin arrangement rule, but the provided solution distinguishes it from the actual stabilizing factors such as exchange energy and reduced repulsion. Focus on the energetic reasons, not only the filling description.

  • Ignoring symmetrical distribution is a common mistake. The provided solution explicitly includes statement (A) as one cause of extra stability. Do not assume that only exchange energy matters.

  • Confusing exchange energy with coulombic repulsion can lead to incomplete reasoning. Both lower-energy effects are treated separately in the solution, so both (B) and (D) must be checked independently.

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