Consider system with just two states. Take the two states to have energies 0 and ε. Partition function is                  Z = 1+e(-βT). Helmholtz free energy is F = -TKβln(1+e(-βT)) 1. From Helmholtz free energy find the entropy 2. Find the pressure of the system 3. Find the heat capacity at constant volume

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Consider system with just two states. Take the two states to have energies 0 and ε. Partition function is                  Z = 1+e(-βT). Helmholtz free energy is F = -TKβln(1+e(-βT))

1. From Helmholtz free energy find the entropy

2. Find the pressure of the system

3. Find the heat capacity at constant volume

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