Calculating Temperature Change in Real Gas Isolated Chamber with Changed Volume

[brkomir]

Homework Statement

We have a real gas in an isolated chamber. The potential between the molecules is described as $\phi (r)=\phi _0e^{-(\frac{r}{\sigma})^{2}}$, where $\phi _0=5\times 10^{-4}eV$ and $\sigma =5 nm$. At 300 K we have $10^{24}$ molecules per $m^3$.

Calculate the second virial coefficient. With that gas in an isolated chamber we suddenly change the volume of the chamber. (This process deserves a name after a gentleman http://en.wikipedia.org/wiki/Gustave-Adolphe_Hirn ). How much does the temperature change if the molecules per $m^3$ are now only $10^{21}$

Homework Equations

The Attempt at a Solution

I'm having no problems with the first part, but massive ones for the second part.

I just can't find a way to calculate the temperature. How do I do that?

 

[brkomir]

Blah, nevermind here.

I sincerely apologize. Moderators can delete this topic.

As soon as I published this thread i realized that I can calculate the temperature directly from the equation of state $p=\frac{Nk_bT}{V}(1+\frac{NB_2}{V})$

Again, apologies.