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  4. The spin-only magnetic moment of the complex [ V ( H 2 O )6] Cl 2 is √ X B.M. The value of ' X ' is

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Q. The spin-only magnetic moment of the complex $\left[ V \left( H _{2} O \right)_{6}\right] Cl _{2}$ is $\sqrt{ X }$ B.M. The value of ' $X$ ' is

NTA AbhyasNTA Abhyas 2022

Solution:

$\left[V \left(H_{2} O\right)_{6}\right]\left(Cl\right)_{2}\Rightarrow V^{2 +}\Rightarrow \left[\right.Ar\left]\right.3d^{3}$
$\boxed{\uparrow}\boxed{\uparrow}\boxed{\uparrow}\boxed{\uparrow}\boxed{\uparrow}$
The complex has $3$ unpaired electrons.
$\therefore \mu =\sqrt{n \left(\right. n + 2 \left.\right)}\text{ B.M. }$
$=\sqrt{3 \left(\right. 3 + 2 \left.\right)}\text{ B.M. }$
$=\sqrt{15}B.M$
$\therefore \text{ The value of }^{'}X^{'}\text{ is }15.$