Write the van der wals equation for a real gas containig n molecules.

Explanation

If v be the volume of 1 mol of a real gas at a pressure P and temperature T then van der waals equation for the gas is
`(P+(a)/(v^(2)))(v-b)=RT` . . . [1]
Suppose, the volume for a real gas containing n molecules=V. so, volume for n/N moles of a real gas=V [N=Avogadro's number]
Therefore, the volume for 1 mol of real gas`=(VxxN)/(n)=v`
Substituting the value of v in equation [1], we obtain,
`(P+(n^(2)a)/(V^(2)N^(2)))(VN-nb)=nRT`
This i the van der waals equation for a real gas containing n molecules.