Chapter 1, Problem 1C.11P

Interpretation Introduction

Interpretation: The van der Waals equation of state has to be expressed in terms of Virial equation of state and the expressions for $B$ and $C$ have to be stated in terms of $a$ and $b$.  The values for $a$ and $b$ in the van der Waals equation of state of argon have to be calculated.

Concept introduction: The van der Waals equation defines the behavior of real gases.  This includes the forces of attraction and repulsion in the real gases.  This is represented by the formula given below as,

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

The Virial equation of state is given by the formula as,

    $p{V}_{\text{m}}=RT\left(1+\frac{B}{V_{\text{m}}}+\frac{C}{V_{\text{m}}^2}+\mathrm{...}\right)$