# Temperature of phase transition

1. Nov 16, 2013

### S_Flaherty

1. The problem statement, all variables and given/known data
There is a solid that can be in two phases, with energies U1(S,V) = S2/a1 + b1V(V-2Vo) and U2(S,V) = S2/a2 + b2V(V-2Vo).

Consider a phase transition between the two phases at zero pressure.

At what temperature, T0, does it occur?

2. Relevant equations
T = ∂G/∂S
dP/dT = L/TΔV

3. The attempt at a solution
I'm not sure about all the equations that would be relevant. I was thinking that I would need to use the Clausius-Clapeyron relation but if P = 0 then that gets me nowhere. Then I thought about setting the Gibbs free energy at each phase equal to each other which would give me
S2/a1 + b1V(V-2Vo) - TS = U2(S,V) = S2/a2 + b2V(V-2Vo) - TS but the TS on each side would cancel out and I wasn't sure what I would have to do in order to get T0.

Am I going in the completely wrong direction in trying to figure this out?

2. Nov 17, 2013

### S_Flaherty

Anyone?

3. Nov 18, 2013

### S_Flaherty

Over 250 people view this and no one answers?