Determine the heat transfer, Mechanical Engineering

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(a) Show that all reversible engines operating between the same source and sink will have same efficiency.

(b) A reversible heat engine operates between two reservoirs at temperature of 600oC and 40oC. The engine drives a reversible refrigerator which operates between reservoirs at temperature of 40 oC and -20 oC. The heat transfer to the heat engine is 2000kJ and total work output of the combined engine refrigerator plant is 360KJ.

(i ) Determine the heat transfer to the refrigerant and net heat transfer to the reservoir at 40 oC.

(ii) Reconsider (i) given that the efficiency of the heat engine and the COP of the refrigerator are each 40% of their maximum possible values.

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