- #1

tsuwal

- 105

- 0

(DV/DS)p=(DT/Dp)s=a*T/cp*(rho) (enthalpy)

(Dp/DT)v=(DS/DV)t=-a/k (helmoltz)

(DS/Dp)t=-(DV/DT)p=-Va (gibbs)

a=expansion coefficient

k=isothermal compression coefficent

cp=heat capacity at constante pressure

I want to deduce DT/DV at constant entropy=(DT/DV)s. BUT HOW?

Let me try to write S(T,V), then,

dS=Cv/T*dT-a/k*dV

putting S=0, i get,

a/k*dV=Cv/T*dT <=> (DT/DV)s=a*T/Cv*k

am I right?