# Latent Heat Solid->gas Liquid->gas transitions

1. Dec 27, 2014

### thonwer

1. The problem statement, all variables and given/known data
Show that in Solid to gas and Liquid to gas transitions at $T \ll {T}_{c} , L\simeq a+bT$ where ${T}_{c}, L$ are the critic temperature and latent heat respectively and a,b constants.

2. Relevant equations
$\left( \frac{d ( \frac {L} {T})} {dT} \right) = \frac {{c}_{p2}-{c}_{p1}} {T}+ \frac {\alpha_1v_1-\alpha_2v_2} {v_2-v_1} \frac {L} {T}$
2 is for gas and 1 is for solid or liquid
$cp , \alpha$ are the calorific coefficient at constant pressure and the cubic expansion coefficient.

3. The attempt at a solution

Honestly, I do not have any idea of how to start, I only got to say that $v_1 \ll v_2$.

2. Dec 27, 2014

### Bystander

Try rearranging the equation given in 2.), Relevant equations, and integrating.

3. Dec 27, 2014

### thonwer

Can I separate variables? Or do I have to use another method?