Chapter 3, Problem 3.41P

Interpretation Introduction

Interpretation:

The mathematical expression of isothermal compressibility $\kappa$ and the thermal pressure coefficient ${\left(\partial P/\partial T\right)}_V$ for the given gas should be determined.

Concept introduction:

Isothermal compressibility: In most thermodynamic calculations, the evaluation of work came from the expansion or compression of gas. The essential criterion of compression is that there should exist a difference between the internal and external pressure of the system. In the isothermal process the temperature of the system remains constant.

Compressibility factor ( $\kappa$ ): The ratio of observed $(P\times V)$ and ideal $(P\times V)$ or the ratio of observed molar volume to ideal molar volume of a gas is called compressibility factor (Z).