Question

Which of the following represents van der Waals' equation for $n$ moles of the gas?

• A. $\left(p+\frac{a}{V^2}\right)(V-b)=nRT$
• B. $p(V-b)=nRT$
• C. $\left(p+\frac{a}{V^2}\right)V=nRT$
• D. $pV+\frac{a{n}^2}{V}-\frac{ab{n}^3}{V^2}-pnb=nRT$

Answer 1

Answer: (D)

The correct form of van der Waals' equation for $n$ moles of the gas is

$\left(p+\frac{n^{2}a}{V^2}\right)(V-nb)=nRT$

Where,

$p=$ pressure $V=$ volume

$n=$ number of moles $R=$ gas constant

$T=$ temperature $a,b=$ constants

It can be written in a modified form as:

$pV+\frac{a{n}^2}{V}-\frac{ab{n}^3}{V^2}-pnb=nRT$