Question:
The energy of radiation in thermal equilibrium within an enclosure ("blackbody" radiation) depends only on the volume and on the wall temperature T . It is also known that the pressure of the radiation is one-third the energy density. Show that the energy density u =V/U and entropy density s = V/S of the radiation are given by:
u = βT4, s =4/3 βT3
where β is a constant.
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