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Latent heat, liquid-gas transition, stat mech with gravity

  1. Mar 20, 2012 #1
    Problem solved.

    1. The problem statement, all variables and given/known data
    The boiling point of a certain liquid is 95OC at the top of a mountain
    and 105OC at the bottom. Its latent heat is 1000 cal/mole. Calculate the
    height of mountain.
    It's Q4 of chapter 15 in Statistical Mechanics by S.K. Ma

    2. Relevant equations
    it should be the Clausius-Clapeyron Equation

    3. The attempt at a solution
    I tried to use the canonical partition function to derive the pressure in terms of height, and then plug it into the Clausius-Clapeyron Equation, but it is not successful.
    Last edited: Mar 21, 2012
  2. jcsd
  3. Mar 20, 2012 #2
  4. Mar 20, 2012 #3
  5. Mar 20, 2012 #4
    as the pressure at height z is P(z) = P(0) exp ( - mgz / kT )
    I plug it into the Clausius-Clapeyron Equation and found that it depends on m, the mass of the liquid molecule, which is not given
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