1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Latent Heat Solid->gas Liquid->gas transitions

  1. Dec 27, 2014 #1
    1. The problem statement, all variables and given/known data
    Show that in Solid to gas and Liquid to gas transitions at [itex] T \ll {T}_{c} , L\simeq a+bT [/itex] where [itex] {T}_{c}, L [/itex] are the critic temperature and latent heat respectively and a,b constants.

    2. Relevant equations
    [itex] \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} [/itex]
    2 is for gas and 1 is for solid or liquid
    [itex] cp , \alpha [/itex] 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 [itex] v_1 \ll v_2 [/itex].
  2. jcsd
  3. Dec 27, 2014 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Try rearranging the equation given in 2.), Relevant equations, and integrating.
  4. Dec 27, 2014 #3
    Can I separate variables? Or do I have to use another method?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted

Similar Threads - Latent Heat Solid Date
Latent Heat and Entropy Nov 30, 2017
Molar latent heat of phosphine Oct 22, 2017
Heat of Evaporation May 29, 2017
Latent Heat in Solid-->Liquid transitions (phase change) Jan 7, 2015