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JEE Advanced 2025 · Paper 2, Chemistry question 15

The sum of the spin only magnetic moment values (in B.M.) of [Mn(Br)X6]X3−\ce{[Mn(Br)6]^3-} and [Mn(CN)X6]X3−\ce{[Mn(CN)6]^3-} is _____.

Answer and worked solution

Official answer: 7.5

Both complexes contain Mn(III), a d4d^4 ion.

  • [MnBrX6]X3−\ce{[MnBr6]^3-}: BrX−\ce{Br-} is a weak-field ligand, so the complex is high spin with 4 unpaired electrons. μ=24=4.90\mu=\sqrt{24}=4.90 BM.
  • [Mn(CN)X6]X3−\ce{[Mn(CN)6]^3-}: CNX−\ce{CN-} is a strong-field ligand, so the complex is low spin (t2g4t_{2g}^4) with 2 unpaired electrons. μ=8=2.83\mu=\sqrt8=2.83 BM.

Sum: 4.90+2.83≈7.734.90+2.83\approx7.73 BM.