Chapter 3, Problem 3.15P

Interpretation Introduction

Interpretation:

For one of the substances in the table 3.2 (we consider carbon disulfide), 1 kg sample undergoing isochoric heating at given conditions, the change in final pressure of the sample should be calculated.

Concept Introduction:

The Isothermal compressibility $k$ at constant temperature is given by,

$\begin{array}{l}k=-\frac{1}{V}{\left(\frac{\partial V}{\partial P}\right)}_T\\ {\left(\frac{\partial V}{\partial P}\right)}_T=-V\cdot k\end{array}$

The volume expansivity $\beta$ at constant pressure is given by,

$\begin{array}{l}\beta =\frac{1}{V}{\left(\frac{\partial V}{\partial T}\right)}_P\\ {\left(\frac{\partial V}{\partial T}\right)}_P=V\cdot \beta \end{array}$