 
Summary: Physics 607 Exam 2
Please be wellorganized, and show all significant steps clearly in all problems.
You are graded on your work, so please do not just write down answers with no explanation!
And show your work on separate pages, not on these pages with the problem statements.
The variables have their usual meanings: E = energy, S = entropy, V = volume, N = number of particles,
T = temperature, P = pressure, µ = chemical potential, B =applied magnetic field, CV = heat capacity at
constant volume, F = Helmholtz free energy, k = Boltzmann constant. Also, represents an average.
nk =
1
e
k µ( )/kT
±1
1. (a) (5) For any system, recall that F E TS , and obtain dF in terms of dT , dV , and dN . Then obtain the
relation between S and
F
T
