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Two pounds of carbon dioxide (CO2) as an ideal gas executes a Carnot power cycle while operating between thermal reservoirs at 530 and 100oF. The pressures at the initial and final states of the isothermal expansion are 400 and 200 lbf/in2, respectively. The specific heat ratio is k = 1.24. Determine the thermal efficiency, the work for the isothermal expansion, in Btu, and the work for the adiabatic expansion, in Btu.

Question

Two pounds of carbon dioxide (CO2) as an ideal gas executes a Carnot power cycle while operating between thermal reservoirs at 530 and 100oF. The pressures at the initial and final states of the isothermal expansion are 400 and 200 lbf/in2, respectively. The specific heat ratio is k = 1.24. 

Determine the thermal efficiency, the work for the isothermal expansion, in Btu, and the work for the adiabatic expansion, in Btu.

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Step 1

Draw the p-V diagram for a Carnot cycle:

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Step 2

Convert the given temperatures from Fahrenheit to Rankine:

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Step 3

Calculate the therma...

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