Correct order of spin-only magnetic moment of the following complex ions is: (Given At. no. Fe : 26, Co : 27) [2023]

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Q.
Correct order of spin-only magnetic moment of the following complex ions is:

(Given At. no. Fe : 26, Co : 27) [2023]

1 ${[{CoF}_{6}]}^{3 -} > {[{FeF}_{6}]}^{3 -} > {[Co {(C_{2} O_{4})}_{3}]}^{3 -}$

2 ${[{FeF}_{6}]}^{3 -} > {[Co {(C_{2} O_{4})}_{3}]}^{3 -} > {[{CoF}_{6}]}^{3 -}$

3 ${[Co {(C_{2} O_{4})}_{3}]}^{3 -} > {[{CoF}_{6}]}^{3 -} > {[{FeF}_{6}]}^{3 -}$

4 ${[{FeF}_{6}]}^{3 -} > {[{CoF}_{6}]}^{3 -} > {[Co {(C_{2} O_{4})}_{3}]}^{3 -}$

Ans.
(4)

Complex Central Metal ion E.C. No. of unpaired electron Magnetic moment $μ = \sqrt{n (n + 2)} BM$

${[{FeF}_{6}]}^{3 -}$ ${Fe}^{3 +} - 3 d^{5} - t_{2 g}^{1, 1, 1}, e_{g}^{1, 1}$ 5 $\sqrt{35} BM$

${[{CoF}_{6}]}^{3 -}$ ${Co}^{3 +} - 3 d^{6} - t_{2 g}^{2, 1, 1}, e_{g}^{1, 1}$ 4 $\sqrt{24} BM$

${[Co {(C_{2} O_{4})}_{3}]}^{3 -}$ ${Co}^{3 +} - 3 d^{6} - t_{2 g}^{2, 2, 2}, e_{g}^{0, 0}$ 0 0 BM

Solution

Q.
Correct order of spin-only magnetic moment of the following complex ions is:

(Given At. no. Fe : 26, Co : 27) [2023]

1 ${[{CoF}_{6}]}^{3 -} > {[{FeF}_{6}]}^{3 -} > {[Co {(C_{2} O_{4})}_{3}]}^{3 -}$

2 ${[{FeF}_{6}]}^{3 -} > {[Co {(C_{2} O_{4})}_{3}]}^{3 -} > {[{CoF}_{6}]}^{3 -}$

3 ${[Co {(C_{2} O_{4})}_{3}]}^{3 -} > {[{CoF}_{6}]}^{3 -} > {[{FeF}_{6}]}^{3 -}$

4 ${[{FeF}_{6}]}^{3 -} > {[{CoF}_{6}]}^{3 -} > {[Co {(C_{2} O_{4})}_{3}]}^{3 -}$

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Complex	Central Metal ion E.C.	No. of unpaired electron	Magnetic moment $μ = \sqrt{n (n + 2)} BM$
${[{FeF}_{6}]}^{3 -}$	${Fe}^{3 +} - 3 d^{5} - t_{2 g}^{1, 1, 1}, e_{g}^{1, 1}$	5	$\sqrt{35} BM$
${[{CoF}_{6}]}^{3 -}$	${Co}^{3 +} - 3 d^{6} - t_{2 g}^{2, 1, 1}, e_{g}^{1, 1}$	4	$\sqrt{24} BM$
${[Co {(C_{2} O_{4})}_{3}]}^{3 -}$	${Co}^{3 +} - 3 d^{6} - t_{2 g}^{2, 2, 2}, e_{g}^{0, 0}$	0	0 BM

Solution

Q. Correct order of spin-only magnetic moment of the following complex ions is: (Given At. no. Fe : 26, Co : 27) [2023]

1 [CoF6]3->[FeF6]3->[Co(C2O4)3]3-

2 [FeF6]3->[Co(C2O4)3]3->[CoF6]3-

3 [Co(C2O4)3]3->[CoF6]3->[FeF6]3-

4 [FeF6]3->[CoF6]3->[Co(C2O4)3]3-

Ans. (4) Complex Central Metal ion E.C. No. of unpaired electron Magnetic moment μ=n(n+2)BM [FeF6]3- Fe3+-3d5-t2g1,1,1,eg1,1 5 35BM [CoF6]3- Co3+-3d6-t2g2,1,1,eg1,1 4 24BM [Co(C2O4)3]3- Co3+-3d6-t2g2,2,2,eg0,0 0 0 BM

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Q.
Correct order of spin-only magnetic moment of the following complex ions is:

(Given At. no. Fe : 26, Co : 27) [2023]

1 ${[{CoF}_{6}]}^{3 -} > {[{FeF}_{6}]}^{3 -} > {[Co {(C_{2} O_{4})}_{3}]}^{3 -}$

2 ${[{FeF}_{6}]}^{3 -} > {[Co {(C_{2} O_{4})}_{3}]}^{3 -} > {[{CoF}_{6}]}^{3 -}$

3 ${[Co {(C_{2} O_{4})}_{3}]}^{3 -} > {[{CoF}_{6}]}^{3 -} > {[{FeF}_{6}]}^{3 -}$

4 ${[{FeF}_{6}]}^{3 -} > {[{CoF}_{6}]}^{3 -} > {[Co {(C_{2} O_{4})}_{3}]}^{3 -}$