For which of the following pairs, magnetic moment is same?

Question

For which of the following pairs, magnetic moment is same? (A) MnCl 2, CuSO 4 (B) CuCl 2, TiCl 3 (C) TiO 2, CuSO 4 (D) TiCl 3, NiCl 2

Tardigrade Admin · Accepted Answer

Species having the same number of unpaired electrons, have same magnetic moment.
(a)

M n C l_{2} \Rightarrow M n^{2 +} = [A r] 3 d^{5}, 4 s^{0}

(five unpaired electrons)

C u S O_{4} \Rightarrow C u^{2 +} = [A r] 3 d^{\frac{1}{9}}, 4 s^{0}

(one unpaired electron)
(b)

C u C l_{2} \Rightarrow C u^{2 +} = [A r] 3 d^{9}, 4 s^{0}

(one unpaired electron)

T i C l_{3} \Rightarrow T i^{3 +} = [A r] 3 d^{1}, 4 s

(one unpaired electron)

∴ C u C l_{2}

and

T i C l_{3}

have same magnetic moment.

μ = 1 (1 + 2) = 3 = 1.73 BM

(c)

T i O_{2} \Rightarrow T i^{4 +} = [A r] 3 d^{0}, 4 s^{0}

(no unpaired electron)

C u S O_{4} \Rightarrow C u^{2 +} = [A r] 3 d^{9}, 4 s^{0}

(one unpaired electron)
(d)

T i C l_{3} \Rightarrow T i^{3 +} = [A r] 3 d^{1}, 4 s^{0}

(one unpaired electron)

N i C l_{2} \Rightarrow N i^{2 +} = [A r] 3 d^{8}, 4 s^{0}

(two unpaired electrons)

Q. For which of the following pairs, magnetic moment is same?