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

[mchan1014]

Problem solved.

Homework Statement

The boiling point of a certain liquid is 95^OC at the top of a mountain
and 105^OC 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

Homework Equations

it should be the Clausius-Clapeyron Equation

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.

 

[mchan1014]

the book by S.K. Ma here : http://books.google.com/books?id=3X...#v=onepage&q=inauthor:"Shang-keng Ma"&f=false

 

[mchan1014]

http://books.google.com/books?id=3X...TW&source=gbs_toc_r&cad=4#v=onepage&q&f=false

 

[mchan1014]

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