Question

The spin-only magnetic moment of the complex $\left[V{\left(H_{2}O\right)}_6\right]C{l}_2$ is $\sqrt{X}$ B.M. The value of ' $X$ ' is

Answer 1

Answer: 15

$\left[V{\left(H_{2}O\right)}_6\right]{\left(Cl\right)}_2\Rightarrow V^{2+}\Rightarrow [Ar]3d^3$
$\boxed{\uparrow }\boxed{\uparrow }\boxed{\uparrow }\boxed{\uparrow }\boxed{\uparrow }$
The complex has $3$ unpaired electrons.
$\therefore \mu =\sqrt{n(n+2)}\text{ B.M. }$
$=\sqrt{3(3+2)}\text{ B.M. }$
$=\sqrt{15}B.M$
$\therefore {\text{ The value of }}^{{}^{\prime }}{X}^{{}^{\prime }}\text{ is }15.$