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Homework Help: Temperature of phase transition

  1. Nov 16, 2013 #1
    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. jcsd
  3. Nov 17, 2013 #2
  4. Nov 18, 2013 #3
    Over 250 people view this and no one answers?
    You all sure are helpful...
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