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

Options

A. `(p+(a)/(V^(2)))(V-b)=nRT`
B. `p(V-b)=nRT`
C. `(p+(a)/(V^(2)))V=nRT`
D. `pV+(an^(2))/(V)-(abn^(3))/(V^(2))-pnb=nRT`

Answer

D

Explanation

The correct form of van der Waals' equation for n moles of the gas is
`(p+(n^(2)a)/(V^(2)))(V-nb)=nRT`
Where,
p = pressure, `" "` V = voluem
n = number of moles `" "` R = gas constant
T = temperature `" "` a, b = constants
It can be written in a modified form as :
`pV+(an^(2))/(V)-(abn^(3))/(V^(2))-pnb=nRT`