pARTy MAJOR
New member
Consider a Carnot cycle that uses a low-temperature reservoir with Kelvin temperature Tc. This is a true reservoir — that is, large enough not to change temperature when it accepts heat from the engine. Let the engine accept heat from an object of temperature T', where T' > Tc. The object is of finite size, so it cools as heat is extracted from it. The engine continues to operate until T' = Tc.
(a) Show that the total magnitude of heat rejected to the low-temperature reservoir is Tc |?Sh|, where ?Sh is the change in entropy of the high-temperature reservoir.
(b) Apply the result in part (a) to 1.00 kg of water initially at a temperature of 373 K as the heat source for the engine and Tc = 273 K. How much total mechanical work can be performed by the engine until it stops?
(c) Repeat part (b) for 2.00 kg of water at 323 K.
(a) Show that the total magnitude of heat rejected to the low-temperature reservoir is Tc |?Sh|, where ?Sh is the change in entropy of the high-temperature reservoir.
(b) Apply the result in part (a) to 1.00 kg of water initially at a temperature of 373 K as the heat source for the engine and Tc = 273 K. How much total mechanical work can be performed by the engine until it stops?
(c) Repeat part (b) for 2.00 kg of water at 323 K.