Problem 2.9. Blackbody radiation in a box of volume V and at temperature T has internal energy

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Problem 2.9. Blackbody radiation in a box of volume V and at temperature T has internal energy U = aVT4 and pressure P = (1/3)aT4, where a is the Stefan-Boltzmann constant.

(a) What is the fundamental equation for blackbody radiation (the entropy)?

(b) Compute the chemical potential.

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