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conorod
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Homework Statement
I am attempting the problem below, I might have the correct answer but would appreciate if someone could confirm this (or tell me where I'm going wrong).
Consider a statement having 2 states, one at energy 0 and one at energy ε. Find an expression for the Helmholtz free energy as a function of the temperature, T.
Homework Equations
F = -kBT log Z
Z = Ʃ e-βEr
The Attempt at a Solution
Z = e-β.0 + e-β.ε
Z = 1 + e-β.ε
F = -kBT ln(1 + e-β.ε)