Final Equilibrium Temperature

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Homework Statement


An adiabatically isolated system consists of 1 mol of a diatomic gas 100K and 2 mol of a solid at 200K separated by a rigid adiabatic wall. Find the equilibrium temperature of system after adiabatic wall is removed, assuming that the solid obeys the Dulong-Petit law.


Homework Equations


mgascgas(T-100) = msolidcsolid(200-T)

mgascgas = Qgas = 5/2 nRT ( 5 is degree of freedom, I guess so)

The Attempt at a Solution



5/2 nRT = Q = msolidcsolid(200-T)

4. Answer

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Answers and Replies

  • #2
Redbelly98
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Homework Statement


An adiabatically isolated system consists of 1 mol of a diatomic gas 100K and 2 mol of a solid at 200K separated by a rigid adiabatic wall. Find the equilibrium temperature of system after adiabatic wall is removed, assuming that the solid obeys the Dulong-Petit law.


Homework Equations


mgascgas(T-100) = msolidcsolid(200-T)

mgascgas = Qgas = 5/2 nRT ( 5 is degree of freedom, I guess so)

The Attempt at a Solution



5/2 nRT = Q = msolidcsolid(200-T)

4. Answer

171K
I agree with that answer, though you didn't really show how you got it. You haven't shown how you used the Dulong-Petit law, and msolid shouldn't be part of the calculation.
 
  • #3
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The answer was given on back pages of the book. I have not got any answer yet. I dont know how they got that answer.
 
  • #4
Redbelly98
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What does your book or class notes say about the Dulong-Petit law? You should look that up, it relates the energy of the solid and its temperature change.
 

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