(a) How many microstates have the smallest value of energy? What is the largest microstate energy? (b) For microcanonical macrostates of energy E, calculate the number of states N(E, N), and the entropy S(E, N). (c) Calculate the heat capacity C(T) and sketch it. (d) What is the probability that a specific molecule is standing up? (e) What is the largest possible value of the internal energy at any positive temperature?
(a) How many microstates have the smallest value of energy? What is the largest microstate energy? (b) For microcanonical macrostates of energy E, calculate the number of states N(E, N), and the entropy S(E, N). (c) Calculate the heat capacity C(T) and sketch it. (d) What is the probability that a specific molecule is standing up? (e) What is the largest possible value of the internal energy at any positive temperature?
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