How many of the following metal ions have similar value of spin only magnetic moment in gaseous state? ______________
(Given : Atomic number V, 23; Cr, 24; Fe, 26; Ni, 28)
V$^{3+}$, Cr$^{3+}$, Fe$^{2+}$, Ni$^{3+}$
Answer (integer)
2
Solution
$\mu_{\mathrm{s}}=\sqrt{\mathrm{n}(\mathrm{n}+2)} \mathrm{BM} \quad(\mathrm{n}=\mathrm{no}$ of unpaired electrons)<br/><br/>
$$
\begin{array}{ll}
& n \\
\mathrm{V}^{3+}:[\mathrm{Ar}] 3 \mathrm{~d}^2 4 \mathrm{~s}^0 & 2 \\\\
\mathrm{Cr}^{3+}:[\mathrm{Ar}] 3 \mathrm{~d}^3 4 \mathrm{~s}^0 & 3 \\\\
\mathrm{Fe}^{2+}:[\mathrm{Ar}] 3 \mathrm{~d}^6 4 \mathrm{~s}^0 & 4 \\\\
\mathrm{Ni}^{3+}:[\mathrm{Ar}] 3 \mathrm{~d}^7 4 \mathrm{~s}^0 & 3
\end{array}
$$<br/><br/>
$\mathrm{Cr}^{3+} ~\&~ \mathrm{Ni}^{3+}$ have same value of $\mu_{\mathrm{s}}$
About this question
Subject: Chemistry · Chapter: d and f Block Elements · Topic: Properties of Transition Metals
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