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REVERSIBLE ADIABATIC REVERSIBLE ISOTHERMAL REVERSIBLE REVERSIBLE M ISOTHERMAL 3 4 VOLUME v In the following problem take the gas to be a gas of photons in thermal equilibrium and consider a Carnot cycle 1) For the isothermal expansion from V1 to V2, compare the magnitude of the work done by the gas and the energy absorbed from the hot reservoir. How does the relationship that you derive compare to that for a monatomic classical ideal gas? 2) Derive an expression for the heat capacity, Cv, and the entropy, S, of photons starting from the expression for (E). 3) Calculate the total work done by the photons in one cycle in terms of V1 and V2 and the two temperatures of the reservoirs, Thot and Tcold. Do this by evaluating separately the work done in each of the four segments and then combining the contributions (with due regard to sign). Hint: The entropy expression and its invariance under some circumstances will help. 4) Calculate the efficiency and compare it to the Carnot cycle efficiency for an ideal gas. Please help
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