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avocadogirl
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Homework Statement
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.
Homework 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
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.