[FeCl4]2− (I), [CoCl4]2− (II) and [NiCl4]2− (III) are paramagnetic tetrahedral complexes. Q.23 The order of values of spin-only magnetic moment is (A) III > II > I (B) III > I > II (C) II > I > III (D) I > II > III

[FeCl4]2− (I), [CoCl4]2− (II) and [NiCl4]2− (III) are paramagnetic tetrahedral complexes.

Q.23 The order of values of spin-only magnetic moment is

(A) III > II > I
(B) III > I > II
(C) II > I > III
(D) I > II > III

Concept Used

Spin-only magnetic moment depends on the number of unpaired electrons and is given by:

μ = √n(n + 2) BM

Tetrahedral complexes with weak field ligands like Cl are always high spin.


Step-by-Step Solution

(I) [FeCl4]2−

  • Oxidation state of Fe = +2
  • Electronic configuration = d6
  • Unpaired electrons = 4
  • Magnetic moment = √24

(II) [CoCl4]2−

  • Oxidation state of Co = +2
  • Electronic configuration = d7
  • Unpaired electrons = 3
  • Magnetic moment = √15

(III) [NiCl4]2−

  • Oxidation state of Ni = +2
  • Electronic configuration = d8
  • Unpaired electrons = 2
  • Magnetic moment = √8

Comparison Table

Complex d-electrons Unpaired electrons
[FeCl4]2− d6 4
[CoCl4]2− d7 3
[NiCl4]2− d8 2

Final Answer

The correct order of spin-only magnetic moment is:

I > II > III

Correct Option: (D)


Explanation of Options

Option (A): Incorrect — Ni2+ has the least unpaired electrons.

Option (B): Incorrect — Fe2+ has more unpaired electrons than Ni2+.

Option (C): Incorrect — Fe2+ > Co2+ in unpaired electrons.

Option (D): Correct — follows decreasing number of unpaired electrons.


Conclusion

In tetrahedral complexes with weak field ligands, all complexes are high spin and
magnetic moment decreases as the number of unpaired electrons decreases.

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