Chapter 1, Problem 1C.5BE

(i)

Interpretation Introduction

Interpretation: The volume occupied by the gas under given conditions has to be calculated.

Concept introduction: The volume occupied by the gas per mole is defined as the molar volume.  It is designated by $V_{\text{m}}$.  The formula used for molar volume is,

    $V_{\text{m}}=\frac{V}{n}$

The compression factor is calculated using the formula as,

    $Z=\frac{pV}{nRT}$

(ii)

Interpretation Introduction

Interpretation: The approximate value of second Virial coefficient $\left(B\right)$ has 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,

  $p=\frac{RT}{V_{\text{m}}-b}-a{\left(\frac{1}{V_{\text{m}}}\right)}^2$

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

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