A first row transition metal in its +2 oxidation state has a spin-only magnetic moment value of 3.86 BM. The atomic number of the metal is

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Q.
A first row transition metal in its +2 oxidation state has a spin-only magnetic moment value of 3.86 BM. The atomic number of the metal is [2024]

1 25

2 22

3 26

4 23

Ans.
(4)

Spin only magnetic moment ( $μ$ ) is related to number of unpaired electrons $n$ by:

$μ = \sqrt{n (n + 2)} BM$

$3.86 = \sqrt{n (n + 2)}$

$n = 3$

Atomic number Electronic configuration of M Electronic configuration of $M^{2 +}$ Number of unpaired electrons with $M^{2 +}$

25 ${}_{18}{[Ar]} 3 d^{5} 4 s^{2}$ ${}_{18}{[Ar]} 3 d^{5}$ 5

22 ${}_{18}{[Ar]} 3 d^{2} 4 s^{2}$ ${}_{18}{[Ar]} 3 d^{2}$ 2

26 ${}_{18}{[Ar]} 3 d^{6} 4 s^{2}$ ${}_{18}{[Ar]} 3 d^{6}$ 4

23 ${}_{18}{[Ar]} 3 d^{3} 4 s^{2}$ ${}_{18}{[Ar]} 3 d^{3}$ 3

Solution

Q.
A first row transition metal in its +2 oxidation state has a spin-only magnetic moment value of 3.86 BM. The atomic number of the metal is [2024]

1 25

2 22

3 26

4 23

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Atomic number	Electronic configuration of M	Electronic configuration of $M^{2 +}$	Number of unpaired electrons with $M^{2 +}$
25	${}_{18}{[Ar]} 3 d^{5} 4 s^{2}$	${}_{18}{[Ar]} 3 d^{5}$	5
22	${}_{18}{[Ar]} 3 d^{2} 4 s^{2}$	${}_{18}{[Ar]} 3 d^{2}$	2
26	${}_{18}{[Ar]} 3 d^{6} 4 s^{2}$	${}_{18}{[Ar]} 3 d^{6}$	4
23	${}_{18}{[Ar]} 3 d^{3} 4 s^{2}$	${}_{18}{[Ar]} 3 d^{3}$	3

Solution

Q. A first row transition metal in its +2 oxidation state has a spin-only magnetic moment value of 3.86 BM. The atomic number of the metal is [2024]

1 25

2 22

3 26

4 23

Want Us to Email you About Special Offers & Updates?

Q.
A first row transition metal in its +2 oxidation state has a spin-only magnetic moment value of 3.86 BM. The atomic number of the metal is [2024]