JEE MAIN - Chemistry (2021 - 20th July Morning Shift - No. 15)

The spin-only magnetic moment value for the complex [Co(CN)6]4$$-$$ is __________ BM.

[At. no. of Co = 27]
Answer
2

Explanation

[Co(CN)6]4$$-$$

x + 6 $$\times$$ ($$-$$1) = $$-$$4

where, x, 6, $$-$$1 and $$-$$4 are the oxidation number of Co, number of CN ligands, charge on one CN and charge on complex.

x = +2, i.e. Co2+

Electronic configuration of Co2+ : [Ar]3d7 and CN$$-$$ is a strong field ligand which can pair electron of central atom.

JEE Main 2021 (Online) 20th July Morning Shift Chemistry - Coordination Compounds Question 168 English Explanation
It has one unpaired electron (n) in 4d-subshell.

So, spin only magnetic moment ($$\mu$$) = $$\sqrt {n(n + 2)} $$ BM = $$\sqrt {1(1 + 2)} $$ BM = $$\sqrt 3 $$ BM

where, n = number of unpaired electrons

$$\mu$$ = $$\sqrt 3 $$ BM = 1.73 BM

Nearest integer = 2

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