Please print this sheet, sign the statement at the bottom, use it as cover page when you submit your homework, and write your solutions on separate sheets of paper, leaving some blank space between problems. Remember to always include a complete explanation in full sentences of your reasoning, and to show all calculations.

• 1: Relativistic ideal gas in thermal equilibrium
  Consider an extreme relativistic gas consisting of N monatomic particles with energy-momentum relationship ε = pc, c being the speed of light. (a) Show that the partition function Z_N is given by

Z_N(V, T) = (1/N!) {8πV (k_BT/hc)³}^N.

(b) Find the energy and the pressure equations of state for this system.

• 2: Cold dilute neutrons
  Problem 4.8 from Kennett's book.
   
• 3: Diatomic ideal gas
  Problem 4.9 from Kennett's book.

You are allowed, in fact encouraged, to discuss these problems and how to solve them with other students in the class, but you are not allowed to copy or use in any way anyone else's written solution to any of these problems. This includes solutions that may be provided to you by a student who took the course previously, or solutions you may find online or in print. This policy will hold for all assignments in this class.

Aside from oral discussions I may have had with other students in the class, the solutions to this homework set I am submitting are entirely my own.

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