Which of the following represents van der Waal's equation for n moles of the gas?

We know that Vander Waal equation is Real gas equation, which doesn’t obey gas laws.

So, Vander waal equation for n moles of gas is

$\left(\mathrm{P}+\frac{{\mathrm{an}}^2}{{\mathrm{v}}^2}\right)(\mathrm{v}-\mathrm{nb})=\mathrm{nRT}$

Expanding the above equation results in $\mathrm{PV}+\frac{{\mathrm{an}}^2}{\mathrm{V}}-\frac{{\mathrm{abn}}^3}{{\mathrm{V}}^2}-\mathrm{Pnb}=\mathrm{nRT}$

Hence, option (D) is the answer.