Match the metal ions given in Column-I with the spin magnetic moments of the ions given in Column-II and assign the correct code: [2018]

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Solution

Q.
Match the metal ions given in Column-I with the spin magnetic moments of the ions given in Column-II and assign the correct code: [2018]

Column-I Column-II

A. ${Co}^{3 +}$ (i) $\sqrt{8}$ B.M.

B. ${Cr}^{3 +}$ (ii) $\sqrt{35}$ B.M.

C. ${Fe}^{3 +}$ (iii) $\sqrt{3}$ B.M.

D. ${Ni}^{2 +}$ (iv) $\sqrt{24}$ B.M.

(v) $\sqrt{15}$ B.M.

1 A-(iv), B-(v), C-(ii), D-(i)

2 A-(i), B-(ii), C-(iii), D-(iv)

3 A-(iv), B-(i), C-(ii), D-(iii)

4 A-(iii), B-(v), C-(i), D-(ii)

Ans.
(1)

${Co}^{3 +} : [A r] 3 d^{6}$ , unpaired $e^{-} (n) = 4$

Spin magnetic moment $(μ) = \sqrt{4 (4 + 2)} = \sqrt{24}$ B.M.

${Cr}^{3 +} : [A r] 3 d^{3}$ , unpaired $e^{-} (n) = 3$

Spin magnetic moment $(μ) = \sqrt{3 (3 + 2)} = \sqrt{15}$ B.M.

${Fe}^{3 +} : [A r] 3 d^{5}$ , unpaired $e^{-} (n) = 5$

Spin magnetic moment $(μ) = \sqrt{5 (5 + 2)} = \sqrt{35}$ B.M.

${Ni}^{2 +} : [A r] 3 d^{8}$ , unpaired $e^{-} (n) = 2$

Spin magnetic moment $(μ) = \sqrt{2 (2 + 2)} = \sqrt{8}$ B.M.

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