# Clausius-Clapeyron equation and coexistence curve for Bose-Einstein Condensate

I am tasked with "deriving" the Clausius-Clapeyron Equation for the ideal Bose-Einstein condensate and plotting the coexistence curve. Yet, I am unsure how would I accomplish this task. Can I just use the regular CC equation

$$\frac{dP}{dT} = \frac{L}{T \Delta v}$$

or should I re-derive it keeping in mind BEC properties. I legitimately have no idea how to attack this question, thanks in advance.

• Are you trying to obtain the P-T curve of phase transition? If so, since you can simply get critical temperature as a function of particle density $n$, then I guess you could just replace the $n$ with with pressure $P$ by considering BE statistics. – Kite.Y Jan 8 '18 at 19:25
• I think you can find the answer here: maths.tcd.ie/~sint/ReadingWeek-February-2012_sols_q5.pdf – valerio Jan 8 '18 at 20:00