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BITSAT 2024
Exam
BITSAT
Year
2024
Subject
Chemistry
Chapter
Chemical Bonding and Molecular Structure

BITSAT 2024 · Chemistry · Chemical Bonding and Molecular Structure

The spin only magnetic moment of Fe^ 3+ ion (in BM) is...

The spin only magnetic moment of Fe3+\mathrm{Fe}^{3+} ion (in BM) is approximately.

Options

  1. A4
  2. B5
  3. C6
  4. D7

Correct answer

C. 6

Step-by-step solution

Electronic configuration of Fe. 26Fe=[Ar]3d64s2Fe3+=[Ar]3d5\begin{aligned} { }_{26} \mathrm{Fe} & =[\mathrm{Ar}] 3 d^6 4 s^2 \\ \mathrm{Fe}^{3+} & =[\mathrm{Ar}] 3 d^5 \end{aligned} Number of unpaired electrons, n=5n=5 Spin only magnetic moment, μs=n(n+2)BMμs=5(5+2)μs=35μs=5.85BM or μs≃6BM\mu_s=\sqrt{n(n+2)} \mathrm{BM}\begin{gathered} \mu_s=\sqrt{5(5+2)} \\ \mu_s=\sqrt{35} \\ \mu_s=5.85 \mathrm{BM} \text{ or } \mu_s \simeq 6 \mathrm{BM} \end{gathered}
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