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## Homework Statement

Calculate the isothermal compressibility and the expansion coefficient of a van der Waals gas. Show, using Euler's chain relation that

[tex]\kappa[/tex]

_{T}

*R*= [tex]\alpha[/tex](

*V*

_{m}-

*b*).

## Homework Equations

van der Waals equation

virial expansion of state

## 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.