During one complete cycle, an ideal hear engine performs 250J of work and reject

Question

During one complete cycle, an ideal hear engine performs 250J of work and rejects 150J of heat to a low temperature reservoir which has a temperature of 100oc. How much heat enters the engine? what is the efficiency of the engine? what is the temperature of the high-temperature reservoir ? During one complete cycle, an ideal hear engine performs 250J of work and rejects 150J of heat to a low temperature reservoir which has a temperature of 100oc. How much heat enters the engine? what is the efficiency of the engine? what is the temperature of the high-temperature reservoir ?

Explanation / Answer

work done W = 250 J heat rejected to cold reservoir Q ' = 150 J Heat enters the engine Q = Q '+ W = 400 J (b). efficiency e = 1 -( Q ' / Q ) = 0.625 = 62.5 % (c). cold temperature T ' = 100 oC = 100+ 273 = 373 K hot temperature T = ? we know T / T ' = Q / Q' T = ( Q / Q ') T ' = 994.66 K = ( 994.66-273 )oC = 721.66 oC

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