Starting from the formula for CV derived in Problem,
Chapter 7, Problem 71P(choose chapter or problem)
Problem 71P
Starting from the formula for CV derived in Problem, calculate the entropy, Helmholtz free energy, and pressure of a Bose gas for: T< Tc Notice that the pressure is independent of volume; how can this be the case.
Problem:
Figure shows the heat capacity of a Bose gas as a function of temperature. In this problem you will calculate the shape of this unusual graph.
(b) For T < Tc you can set µ = 0. Evaluate the integral numerically in this case, then differentiate the result with respect to T to obtain the heat capacity. Compare to Figure.
Figure: Heat capacity of an ideal Bose gas in a three-dimensional box.
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