phase transformationClausius-ClapeyronThermal and Statistical Physics 2020
Consider a phase
transformation between either solid or liquid and gas. Assume that the
volume of the gas is way bigger than that of the liquid or
solid, such that \(\Delta V \approx V_g\). Furthermore, assume that
the ideal gas law applies to the gas phase. Note: this problem
is solved in the textbook, in the section on the Clausius-Clapeyron
equation.

Solve for \(\frac{dp}{dT}\) in terms of the pressure of the vapor
and the latent heat \(L\) and the temperature.

Assume further that the latent heat is roughly independent of
temperature. Integrate to find the vapor pressure itself as a
function of temperature (and of course, the latent heat).

Clausius-ClapeyronThermal and Statistical Physics 2020
Calculate based on the Clausius-Clapeyron equation the value of
\(\frac{dT}{dp}\) near \(p=1\text{atm}\) for the liquid-vapor
equilibrium of water. The heat of vaporization at
\(100^\circ\text{C}\) is \(2260\text{ J g}^{-1}\). Express the result
in kelvin/atm.

These lecture notes from the ninth week of Thermal and Statistical Physics cover phase transformations, the Clausius-Clapeyron relation, mean field theory and more. They include a number of small group activities.