# Van der Waals gas

1. Sep 18, 2009

### winterwind

1. The problem statement, all variables and given/known data
Calculate the isothermal compressibility and the expansion coefficient of a van der Waals gas. Show, using Euler's chain relation that

$$\kappa$$TR = $$\alpha$$(Vm - b).

2. Relevant equations
van der Waals equation
virial expansion of state

3. The attempt at a solution
So I have to figure out
-isothermal compressibility of van der Waals gas
-expansion coeffcient of a van der Waals gas
-show that the above equation is true using Euler's chain relation.

I guess the first part has something to do with compressibility factor Z? I used Z = PV/RT and then plugged for p the van der Waals gas law. Probabaly incorrect.

The second and third part I have no idea.