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Engineering · Mechanical Engineering
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Derive, with the aid of a simple sketch and appropriate equations, the formula for calculating the efficiency of an ideal heat engine operating between a heat source and sink of temperatures TH and TL, respectively. Explain why such efficiency can never attain 100% value 3(a) (4 marks) An engineer developed a new type of an irreversible cyclic heat engine that produces 100 kW of mechanical power and operates between a high temperature heat source of 800 K and the ambient environment at 300 K. The engine receives 18 MJ/min of heat from the heat source Sketch this arrangement and determine (i) The heat rejected to the ambient environment. (ii) The real efficiency of the engine (ii) The efficiency of a reversible engine operating between the same source and sink. State the reasons for the irreversibility associated the developed engine (2 marks) (2 marks) (2 marks) (2 marks) (b) A reversible heat engine operates on Carnot cycle and has a thermal efficiency of 55%. The engine rejects 18 kW of heat to the ambient atmosphere at a temperature of 300K. Thirty percent of the engines power output is used to drive a refrigerator operating between a reservoir at 260 K and the ambient. (3 marks) Sketch this arrangement. Determine:- (i) The rate of heat supplied to the engine () The temperature of the heat source (iii) The COP of the refrigerator (iv) The heat removed from the refrigerated space (v) The total heat rejected to the ambient atmosphere (2 marks) (2 marks) (2 marks) (2 marks) (2 marks)

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