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An ideal gas is contained in a piston-cylinder device qand undergoes a power cyc

ID: 1717550 • Letter: A

Question

An ideal gas is contained in a piston-cylinder device qand undergoes a power cycle as follows:

1-2 isentropic compression from initial temp.=20 degress celscius with a compression ration of r=5

2-3 constant pressure heat addition

3-1 constant volume heat rejection

the gas has constant wpecific heats with Cv=0.7 kj/kg*k and R=0.3 kj/kg*k

i need help with these following questions

Determine the heat and work interactions for each process in kj/kg

determine the cycle thermal efficiency

obtain the expression for the cylce thermal efficiency as a function of the compression ratio r and ratio of specific heats k

Explanation / Answer

Determine the heat and work interactions for each process in kj/kg

5*20 *0.7 + 0.3 * 100 = 100 kJ / kg

determine the cycle thermal efficiency

100 kJ / kg / 0.7*5*20 = 1.4285 / 100 = 0.0142857

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