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Latent Heat Solid->gas Liquid->gas transitions

  • Thread starter thonwer
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  • #1
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Homework Statement


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.


Homework 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].
 

Answers and Replies

  • #2
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Try rearranging the equation given in 2.), Relevant equations, and integrating.
 
  • #3
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Can I separate variables? Or do I have to use another method?
 

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