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An engine operates by taking an unknown number of moles of a diatomic ideal gas

ID: 1321174 • Letter: A

Question

An engine operates by taking an unknown number of moles of a diatomic ideal gas through the cycle shown in the figure. At point a the temperature of the gas is known to be To. a) How many moles of gas is the engine using? b) What is the temperature of the gas in states b and c? c) Calculate the total work EV, change in internal energy U, and heat Q for one full cycle (notice that process ab is not a standard process). d) What are the work, heat, and change in internal energy for processes bc and ca? e) What are the work, heat, and change in internal energy for process ab? f) What is the efficiency of the engine? g) What is the total change in entropy of the system for one cycle?

Explanation / Answer

a)Number of moles = PoVo/RTo (ans)

b) Temperature at C = PoVo*2RTo/R*PoVo =2To (ans)

Temperature at B = PoVo*2RTo/R*PoVo =2To (ans)

c)

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