Explanation

(d)
On the basis of kinetic theory of gases
$pV = \frac{1}{2}N_{A}m{\overline{v}}^{2}$
And $\frac{1}{2}m{\overline{v}}^{2} = \frac{3}{2}\ KT$
$p = \frac{1}{3}\left( \frac{N}{V} \right)m{\overline{v}}^{2}$
or $p = \frac{2}{3}\left( \frac{N}{V} \right)\frac{1}{2}m{\overline{v}}^{2}$
$= \frac{2}{3}\left( \frac{N}{V} \right)\left( \frac{3}{2} \right)KT$
or $pV = nKT$