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Real gas in isolated chamber

  1. Jan 21, 2014 #1
    1. The problem statement, all variables and given/known data
    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}##

    2. Relevant equations



    3. 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?
     
  2. jcsd
  3. Jan 21, 2014 #2
    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.
     
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