Thank you for your reply...what is this technique called? I am working with Legendre transforms and this is similar...
Another thing...how can you derive T=partialU/partialS or others without knowledge of the internal energy equation?
A general thermo question...
for the function describing internal energy U(S,V,A,N)
U=TS-PV+γA+μN
please explain how the total differential is
dU=TdS-PdV+γdA+μdN (for a one component system)
Basically why is dT=dP=dγ=dμ=0? Is it because they are intensive or potentials...