Verified Solution • 2025–26 Session moderate

QJEEM20Ch5d70: JEE Main 2020 Chemistry - Class 12 JEEM20Ch5d70 Solution: The correct order of the spin-only magnetic moments of the…

The correct order of the spin-only magnetic moments of the following complexes is :
(I) [Cr(H2O)6]Br2
(II) Na4[Fe(CN)6]
(III) Na3[Fe(C2O4)3] ( Δ\Delta 0 > P)
(IV) (Et4N)2[CoCl4]

Multiple Choice Options

  • A (III) > (I) > (II) > (IV)
  • B (II) ≈\approx (I) > (IV) > (III)
  • C (III) > (I) > (IV) > (II)
  • D (I) > (IV) > (III) > (II)

Step-by-Step Verified Solution

(I) [Cr(H2O)6]Br2

H2O is weak field ligand so it can not pair up all the electrons.

Cr2+ : [Ar] 4s03d4 ( t2g3eg1t_{2g}^3e{g^1} )

Unpaired e– = 4

Magnetic moment = 24\sqrt {24} = 4.89 BM

(II) Na4[Fe(CN)6]

CN- is strong field ligand so it pair up all the electrons.

Fe2+ = [Ar] 4s03d6 ( t2g6eg0t_{2g}^6e{g^0} )

Unpaired e– = 0

Magnetic moment = 0 BM

(III) Na3[Fe(C2O4)3]

As Δ\Delta 0 > P, so pairing of electrons happens.

Fe3+ = [Ar] 4s03d5 ( t2g5eg0t_{2g}^5e{g^0} )

Unpaired e– = 1

Magnetic moment = 3\sqrt 3 = 1.73 BM

(IV) (Et4N)2[CoCl4]

Cl-is weak field ligand so it can not pair up all the electrons.

Co2+ = [Ar] 4s03d7 ( eg4t2g3e{g^4}t_{2g}^3 )

Unpaired e– = 3

Magnetic moment = 15\sqrt {15} = 3.87 BM

Hence order of magnetic moment is
I > IV > III > II

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