Thermodynamics: Stats


Problems

Problem :

Problems 1 through 5 will use the following system. Suppose that we have a two state system, in which the first state has energy and the second, energy 3 . Give the ratio of the probability of occupancy of the first to the probability of occupancy of the second, and simplify.


Problem :

Calculate the partition function of the system.


Problem :

Calculate the absolute probability of finding the system in the state with energy .


Problem :

What happens to the occupation of the state with energy as τ→ 0 and as τ→∞ ?


Problem :

Calculate the free energy of the system.


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