Chapter 5, Problem 5.63P

A reversible heat engine operates between two reservoirs: one at Th = 395.0°C and another at Te = 150°C. It goes through a cycle consisting of an adiabatic compression during which it ab- sorbs 125.0J of heat energy, followed by an isothermal expansion at Th, followed by an adiabatic expansion, followed by an isothermal compression at Te. The output of the engine is used to run a reversible refrigerator operating between the same two reservoirs, that has a cycle consisting of an adiabatic expansion, followed by an isothermal expansion at Te, followed by an adiabatic com- pression, followed by an isothermal compression at Th. The output of the engine is used to run the refrigerator. Suppose the ambient temperature is 20.0°C, and the hot reservoir consists of a spherical tank with a radius of 4.00 m, that acts as an ideal emitter of radiation. If all the radiant energy emitted by the tank could be captured, what is the average amount of work that could be done each second?

A reversible heat engine operates between two reservoirs: one at Th = 395.0°C and another at Te = 150°C. It goes through a cycle consisting of an adiabatic compression during which it ab- sorbs 125.0J of heat energy, followed by an isothermal expansion at Th, followed by an adiabatic expansion, followed by an isothermal compression at Te. The output of the engine is used to run a reversible refrigerator operating between the same two reservoirs, that has a cycle consisting of an adiabatic expansion, followed by an isothermal expansion at Te, followed by an adiabatic com- pression, followed by an isothermal compression at Th. The output of the engine is used to run the refrigerator. b) How much heat is released by the engine to the cold reservoir?

Derive an expression for the COP of a completely reversible refrigerator in terms of the thermal energy reservoir temperatures, TL and TH.