JEE MAIN - Chemistry (2020 - 9th January Evening Slot - No. 20)

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] ($$\Delta $$0 $$>$$ P)
(IV) (Et4N)2[CoCl4]
(III) > (I) > (II) > (IV)
(II) $$ \approx $$ (I) > (IV) > (III)
(III) > (I) > (IV) > (II)
(I) > (IV) > (III) > (II)

Explanation

(I) [Cr(H2O)6]Br2

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

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

Unpaired e = 4

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

(II) Na4[Fe(CN)6]

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

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

Unpaired e = 0

Magnetic moment = 0 BM

(III) Na3[Fe(C2O4)3]

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

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

Unpaired e = 1

Magnetic moment = $$\sqrt 3 $$ = 1.73 BM

(IV) (Et4N)2[CoCl4]

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

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

Unpaired e = 3

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

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

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