Chapter 7, Problem 7.28NP

Interpretation Introduction

Interpretation:

For a Vander Waals gas, $\text{z = }\frac{{\text{V}}_{\text{m}}}{\left({\text{V}}_{\text{m}}\text{– b}\right)}\text{-}\frac{\text{a}}{{\text{RTV}}_{\text{m}\text{.}}}$ .

The first term of this expression needs to be expanded in a Taylor series in the limit V_m>>b to obtain $\text{z }\approx \text{ 1+}\left(\text{b - }\frac{\text{a}}{\text{RT}}\right)\left(\frac{\text{1}}{{\text{V}}_{\text{m}}}\right)\text{.}$

Concept Introduction :

For a Vander Waals gas, $\text{z = }\frac{{\text{V}}_{\text{m}}}{\left({\text{V}}_{\text{m}}\text{– b}\right)}\text{-}\frac{\text{a}}{{\text{RTV}}_{\text{m}\text{.}}}$ .

Here, Vm is molar volume, R is Universal gas constant, T is temperature and a and b are Van der Waals constant.