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A Carnot engine is operated between two heat reservoirs at
Chapter 20, Problem 14E(choose chapter or problem)
A Carnot engine is operated between two heat reservoirs at temperatures of 520 K and 300 K. (a) If the engine receives 6.45 kJ of heat energy from the reservoir at 520 K in each cycle, how many joules per cycle does it discard to the reservoir at 300 K? (b) How much mechanical work is performed by the engine during each cycle? (c) What is the thermal efficiency of the engine?
Questions & Answers
QUESTION:
A Carnot engine is operated between two heat reservoirs at temperatures of 520 K and 300 K. (a) If the engine receives 6.45 kJ of heat energy from the reservoir at 520 K in each cycle, how many joules per cycle does it discard to the reservoir at 300 K? (b) How much mechanical work is performed by the engine during each cycle? (c) What is the thermal efficiency of the engine?
ANSWER:Solution 14E Step 1: (a).For an ideal carnot engine there is no entropy production within the engine.so the sum of entropy transfer to the engine equals to zero. Q hot hot+ Q coldTcold= 0 Hence Q cold= Q hot T coldThot= 0 Q cold= 6.45kJ * 300 K/520 K Qcold= 3.72 kJ Negative sign indicates,Here heat is transformed from the engine.