In: Physics
From the section above, you should have found that dSres = -
dUsys/Tsys This expression relates the
change in entropy of the system to the change in internal energy of
the system, and the
temperature shared by system and reservoir.
B. Recall the relationship between entropy and multiplicity, S = k ln Ω.
Use this to describe the quantity dSuniv in terms of multiplicities.
Use the relationship between entropy and multiplicity to derive an expression for the ratio Ωf/Ωi for such an energy transfer.
If the energy of the system increases, what happens to the entropy of the reservoir?
If the energy of the system increases, what happens to the multiplicity of the reservoir?