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Question 43

The magnetic moment of a transition metal compound has been calculated to be 3.87 BM. The metal ion is

Given: $$\mu = 3.87$$ BM. Using $$\mu = \sqrt{n(n+2)}$$ BM:

For $$n = 3$$: $$\mu = \sqrt{3 \times 5} = \sqrt{15} = 3.87$$ BM ✓

So the ion has 3 unpaired electrons.

$$V^{2+}$$: [Ar] 3d³ — has 3 unpaired electrons ✓

$$Cr^{2+}$$: [Ar] 3d⁴ — has 4 unpaired (high spin). $$Mn^{2+}$$: 3d⁵ — 5 unpaired. $$Ti^{2+}$$: 3d² — 2 unpaired.

The metal ion is $$V^{2+}$$.

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