JEE Main · 2023hardCORD-101

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: The…

Coordination Compounds · Class 12 · JEE Main Previous Year Question

Question

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: The spin only magnetic moment value for [Fe(CN)6]3[\mathrm{Fe(CN)_6}]^{3-} is 1.74 BM, whereas for [Fe(H2O)6]3+[\mathrm{Fe(H_2O)_6}]^{3+} is 5.92 BM. Reason R: In both complexes, Fe is present in +3 oxidation state. Choose the correct answer:

Options
  1. a

    A is false but R is true

  2. b

    A is true but R is false

  3. c

    Both A and R are true but R is NOT the correct explanation of A

  4. d

    Both A and R are true and R is the correct explanation of A

Correct Answerc

Both A and R are true but R is NOT the correct explanation of A

Detailed Solution

🧠 Same Fe(III), Two Different Spin States

Both complexes have Fe(III), d5\mathrm{d^5}. The dramatic μ difference (1.74 vs 5.92 BM) comes from ligand field strength:

  • [Fe(CN)6]3[\mathrm{Fe(CN)_6}]^{3-}: CN⁻ is strong-field → low-spin d5\mathrm{d^5}: t2g5eg0\mathrm{t_{2g}^5 e_g^0}1 unpairedμ=31.73\mu = \sqrt{3} \approx 1.73 BM. ✓
  • [Fe(H2O)6]3+[\mathrm{Fe(H_2O)_6}]^{3+}: H₂O is weak-field → high-spin d5\mathrm{d^5}: t2g3eg2\mathrm{t_{2g}^3 e_g^2}5 unpairedμ=355.92\mu = \sqrt{35} \approx 5.92 BM. ✓

So Assertion A is true.

Reason R: "In both complexes, Fe is in +3 oxidation state." This is also true. But it does not explain why μ differs — it's the ligand strength, not the OS, that drives the spin-state difference.

A true, R true, R does NOT explain A → option (3).

🗺️ Why "Same OS" Isn't the Cause

If OS alone determined μ, the two complexes would have the same μ — but they don't. The cause is the strong-field vs weak-field ligand difference, which determines whether the d-electrons pair.

The Spectrochemical Cue

CN⁻ at the strong end, H₂O at the weak end. With Fe(III) d5\mathrm{d^5}, CN⁻ forces pairing (low-spin), H₂O doesn't (high-spin). This is the most-tested example of CFT in JEE.

⚠️ Don't Pick Option (4)

R IS true (Fe is +3 in both) but R is NOT the correct explanation of the μ difference. The right reason is ligand field strength. Reading A and R correctly is half the battle in assertion-reason questions.

Answer: (3) Both true, R not the correct explanation of A\boxed{\text{Answer: (3) Both true, R not the correct explanation of A}}

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