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← JEE Advanced 2024 · Paper 1
ChemistryInteger+4Question 47 of 51

JEE Advanced 2024 · Paper 1, Chemistry question 13

Among the following complexes, the total number of diamagnetic species is _____.

[Mn(NHX3)X6]X3+\ce{[Mn(NH3)6]^3+}, [MnClX6]X3−\ce{[MnCl6]^3-}, [FeFX6]X3−\ce{[FeF6]^3-}, [CoFX6]X3−\ce{[CoF6]^3-}, [Fe(NHX3)X6]X3+\ce{[Fe(NH3)6]^3+}, and [Co(en)X3]X3+\ce{[Co(en)3]^3+}

[Given, atomic number: Mn = 25, Fe = 26, Co = 27; en = HX2NCHX2CHX2NHX2\ce{H2NCH2CH2NH2}]

Answer and worked solution

Official answer: 1

Complex Metal ion Field Unpaired e⁻
[Mn(NHX3)X6]X3+\ce{[Mn(NH3)6]^3+} d4d^4 strong-ish 2 (or 4)
[MnClX6]X3−\ce{[MnCl6]^3-} d4d^4 weak 4
[FeFX6]X3−\ce{[FeF6]^3-} d5d^5 weak 5
[CoFX6]X3−\ce{[CoF6]^3-} d6d^6 weak 4
[Fe(NHX3)X6]X3+\ce{[Fe(NH3)6]^3+} d5d^5 - at least 1
[Co(en)X3]X3+\ce{[Co(en)3]^3+} d6d^6 strong, t2g6t_{2g}^6 0

A d4d^4 or d5d^5 ion always has unpaired electrons in an octahedral field. Only [Co(en)X3]X3+\ce{[Co(en)3]^3+} is diamagnetic: 1.