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**1. Homework Statement**

This question refers to Pathria's Statistical Mechanics textbook.

In this problem, there is the equation:

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

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. Homework Equations**

**3. The Attempt at a Solution**