Derivation of Thermodynamic Relations

[lohboys]

Homework Statement

I'm trying to derive a thermodynamic relation in terms of P,V,T,Cp,Cv and was wondering if my working was correct. I am trying to derive (dG/dV) at constant temperature

Relevant Equations

dG= -SdT + VdP

dG= -SdT + VdP ... now dividing by dV holding temperature constant
(dG/dV)T = -S (dT/dV)T + V (dP/dV)T ... now dT and constant temperature cancel out
final answer:
(dG/dV)T = V (dP/dV)T

 

[mitochan]

Hi. The mathematics seems all right.