(a)(i) A heat engine takes in 1643 J of heat and releases 752 J of work to the environment in each cycle. How

much work does the heat engine do in each cycle?
(ii) What is the efficiency of this engine?
(b) How much work is required to put into the heat pump such that it will remove 200 J of heat from the
lower-temperature reservoir and release 425 J of heat to the higher-temperature reservoir?
(c) Suppose the Carnot efficiency of a heat engine is 0.63 and the heat engine takes in heat at 1050 degree C, at
what temperature in degree Celsius will the heat be released?
(d) Explain whether it is possible for the entropy of a glass of water to decrease?

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