JEE Main · 2019mediumCORD-045

The calculated spin-only magnetic moments (BM) of the anionic and cationic species of [Fe(H2O)6]2+ and [Fe(CN)6]4-…

Coordination Compounds · Class 12 · JEE Main Previous Year Question

Question

The calculated spin-only magnetic moments (BM) of the anionic and cationic species of [Fe(H2O)6]2+[\mathrm{Fe(H_2O)_6}]^{2+} and [Fe(CN)6]4[\mathrm{Fe(CN)_6}]^{4-} respectively, are:

Options
  1. a

    0 and 4.9

  2. b

    2.84 and 5.92

  3. c

    4.9 and 0

  4. d

    0 and 5.92

Correct Answera

0 and 4.9

Detailed Solution

🧠 Read "Anionic and Cationic" Carefully

The complexes given are [Fe(H2O)6]2+[\mathrm{Fe(H_2O)_6}]^{2+} (cationic) and [Fe(CN)6]4[\mathrm{Fe(CN)_6}]^{4-} (anionic). The question asks for the moments in that order: anionic first, cationic second. So compute:

  • Anion [Fe(CN)6]4[\mathrm{Fe(CN)_6}]^{4-}: Fe2+(d6)\mathrm{Fe^{2+}}\,(\mathrm{d^6}) + strong-field CN\mathrm{CN^-} → low-spin → 0 unpaired → μ = 0.
  • Cation [Fe(H2O)6]2+[\mathrm{Fe(H_2O)_6}]^{2+}: Fe2+(d6)\mathrm{Fe^{2+}}\,(\mathrm{d^6}) + moderate-field H2O\mathrm{H_2O} → high-spin → 4 unpaired → μ = 4.9 BM.

So pair = (0, 4.9) — option (1).

🗺️ Verify Each

Anion [Fe(CN)6]4[\mathrm{Fe(CN)_6}]^{4-}. Strong-field CN\mathrm{CN^-} pairs the d⁶ to t2g6eg0\mathrm{t_{2g}^6\,e_g^0}. All paired → diamagnetic → μ = 0.

Cation [Fe(H2O)6]2+[\mathrm{Fe(H_2O)_6}]^{2+}. Moderate-field H2O\mathrm{H_2O} leaves d⁶ as high-spin t2g4eg2\mathrm{t_{2g}^4\,e_g^2}. 4 unpaired → μ = 46=244.9\sqrt{4 \cdot 6} = \sqrt{24} \approx 4.9 BM.

The Same-Metal Twin Trick

JEE often pairs two complexes with the same metal and same d-count but different ligand strengths to test whether you understand that ligand identity flips the spin state. Here: identical Fe2+d6\mathrm{Fe^{2+}\,d^6} but CN\mathrm{CN^-} → 0 unpaired vs H2O\mathrm{H_2O} → 4 unpaired. Always read the ligand before predicting.

⚠️ The Cation/Anion Mix-Up

If you read "cationic and anionic" as the order (option 3 inverts to "4.9 and 0"), you'll pick the wrong option. The question phrases it "anionic and cationic" — anion first. Read order labels carefully on every match-the-pair MCQ.

Answer: (1) 0 and 4.9\boxed{\text{Answer: (1) 0 and 4.9}}

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