3. EM radiation Consider EM waves in a 3D cavity of volume V at equilibrium with temperature T. As you derived in the previous problem, the density of modes in this case is given by g(w) = V/ 4²₁ Calculate the following: (a) The heat capacity of photon gas. (b) The total number of photons, N, and the entropy per photon, i.e. S/N. (c) The pressure of photon gas. Show that the equation of state of the photon gas is: PV = E.
3. EM radiation Consider EM waves in a 3D cavity of volume V at equilibrium with temperature T. As you derived in the previous problem, the density of modes in this case is given by g(w) = V/ 4²₁ Calculate the following: (a) The heat capacity of photon gas. (b) The total number of photons, N, and the entropy per photon, i.e. S/N. (c) The pressure of photon gas. Show that the equation of state of the photon gas is: PV = E.
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Transcribed Image Text:3.
EM radiation
Consider EM waves in a 3D cavity of volume V at equilibrium with temperature T. As you
derived in the previous problem, the density of modes in this case is given by
g(w):
-
V w²
πT² C3
Calculate the following:
(a) The heat capacity of photon gas.
(b) The total number of photons, N, and the entropy per photon, i.e. S/N.
(c) The pressure of photon gas. Show that the equation of state of the photon gas is:
PV = ¹⁄E.
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