The calculated spin-only magnetic moments of and respectively are: [2025]

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Q.
The calculated spin-only magnetic moments of $K_{3} [Fe {(OH)}_{6}]$ and $K_{4} [Fe {(OH)}_{6}]$ respectively are: [2025]

1 5.92 and 4.90 B.M.

2 4.90 and 4.90 B.M.

3 4.90 and 5.92 B.M.

4 3.87 and 4.90 B.M.

Ans.
(1)

Complex Electronic configuration of central metal ion before octahedral splitting Electronic configuration of central metal ion after octahedral splitting Number of unpaired electrons (n) Spin-only magnetic moment ( $μ$ =)

$K_{3} {[Fe(OH)}_{6}]$ ${Fe}^{3 +} = {}_{18}{[Ar]}$ $3 d^{5}$ $t_{2 g}^{1, 1, 1} e_{g}^{1, 1}$ 5 $\sqrt{5 (5 + 2)} BM = 5.92 BM$

$K_{4} [{Fe(OH)}_{6}]$ ${Fe}^{2 +} = {}_{18}{[Ar]}$ $3 d^{6}$ $t_{2 g}^{2, 1, 1} e_{g}^{1, 1}$ 4 $\sqrt{4 (4 + 2)} BM = 4.9 BM$

Solution

Q.
The calculated spin-only magnetic moments of $K_{3} [Fe {(OH)}_{6}]$ and $K_{4} [Fe {(OH)}_{6}]$ respectively are: [2025]

1 5.92 and 4.90 B.M.

2 4.90 and 4.90 B.M.

3 4.90 and 5.92 B.M.

4 3.87 and 4.90 B.M.

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Complex	Electronic configuration of central metal ion before octahedral splitting	Electronic configuration of central metal ion after octahedral splitting	Number of unpaired electrons (n)	Spin-only magnetic moment ( $μ$ =)
$K_{3} {[Fe(OH)}_{6}]$	${Fe}^{3 +} = {}_{18}{[Ar]}$ $3 d^{5}$	$t_{2 g}^{1, 1, 1} e_{g}^{1, 1}$	5	$\sqrt{5 (5 + 2)} BM = 5.92 BM$
$K_{4} [{Fe(OH)}_{6}]$	${Fe}^{2 +} = {}_{18}{[Ar]}$ $3 d^{6}$	$t_{2 g}^{2, 1, 1} e_{g}^{1, 1}$	4	$\sqrt{4 (4 + 2)} BM = 4.9 BM$

Solution

Q. The calculated spin-only magnetic moments of K3[Fe(OH)6] and K4[Fe(OH)6] respectively are: [2025]

1 5.92 and 4.90 B.M.

2 4.90 and 4.90 B.M.

3 4.90 and 5.92 B.M.

4 3.87 and 4.90 B.M.

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Q.
The calculated spin-only magnetic moments of $K_{3} [Fe {(OH)}_{6}]$ and $K_{4} [Fe {(OH)}_{6}]$ respectively are: [2025]