Question

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

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

Answer 1

Answer: (D)

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

$\left(p+\frac{n^{2} a}{V^{2}}\right)(V-n b)=n R T$

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:

$p V+\frac{a n^{2}}{V}-\frac{a b n^{3}}{V^{2}}-p n b=n R T$