# Pathria 7.4

1. Apr 5, 2008

### ehrenfest

1. The problem statement, all variables and given/known data
This question refers to Pathria's Statistical Mechanics textbook.

In this problem, there is the equation:

$$\frac{C_P}{C_V} = \frac{\left(\partial z /\partial T \right)_P}{\left(\partial z /\partial T\right)_{\nu}}$$

where z is the fugacity and \nu is the volume per particle.

I am not really sure if they want me to prove this or if they are "giving it to me" or what but in any case I want to know why it is true. Do you obtain this just by manipulating partial derivatives with the chain rule somehow?

2. Relevant equations

3. The attempt at a solution

2. Apr 5, 2008

anyone?

3. Apr 5, 2008

anyone?