1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Thermo: chemical potential as a function of T,V, and N

  1. Sep 6, 2009 #1
    1. The problem statement, all variables and given/known data
    Find the three equations of state for a system with the fundamental equation

    U =(vo[tex]\theta[/tex]/R2)*(S3/NV)

    For this system, find chemical potential as a function of T,V, and N.


    2. Relevant equations

    [tex]\mu[/tex]= chemical potential
    [tex]\partial[/tex]U/[tex]\partial[/tex]S = T
    -[tex]\partial[/tex]U/[tex]\partial[/tex]V = P
    [tex]\partial[/tex]U/[tex]\partial[/tex]Nj = [tex]\mu[/tex]j

    3. The attempt at a solution

    T= 3(vo[tex]\theta[/tex]/R2)*(S2/NV)
    P = (vo[tex]\theta[/tex]/R2)*(S3/NV2)
    [tex]\muj[/tex]= -(vo[tex]\theta[/tex]/R2)*(S3/N2V)

    If the above is correct, is it sufficient to write [tex]\mu[/tex]= T dS/dN - P dV/dN - dU/dN?

    Thank you.
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Thermo: chemical potential as a function of T,V, and N
Loading...