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JEE Main 2023 · Chemistry · Coordination Compounds · medium

The sum of the spin-only magnetic moments squared (in BM^2) of [Fe(CN)6]^3-, [CoF6]^3-, [Ni(NH3)6]^2+ and [MnCl4]^2- is

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The sum of the spin-only magnetic moments squared (in BM2\mathrm{BM^2}) of [Fe(CN)6]3−\mathrm{[Fe(CN)_6]^{3-}}, [CoF6]3−\mathrm{[CoF_6]^{3-}}, [Ni(NH3)6]2+\mathrm{[Ni(NH_3)_6]^{2+}} and [MnCl4]2−\mathrm{[MnCl_4]^{2-}} is
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Answer: 70

μ2=n(n+2)\mu^2=n(n+2). Fe3+\mathrm{Fe^{3+}} (d5d^5) with strong-field CN−\mathrm{CN^-} is low-spin: n=1n=1, μ2=3\mu^2=3. Co3+\mathrm{Co^{3+}} (d6d^6) with weak-field F−\mathrm{F^-} is high-spin: n=4n=4, μ2=24\mu^2=24. Ni2+\mathrm{Ni^{2+}} (d8d^8): n=2n=2, μ2=8\mu^2=8. Mn2+\mathrm{Mn^{2+}} (d5d^5) with weak-field Cl−\mathrm{Cl^-}: n=5n=5, μ2=35\mu^2=35. Sum =3+24+8+35=70=3+24+8+35=70.
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