a)
The thermal efficiency of the cycle using the constant specific heats at room temperature.
a)

Explanation of Solution
Given:
Compression ratio
Temperature of air at state 1
Temperature of air at state 3
Pressure of air at state 1
Calculation:
Draw the
Refer Table A-2E, “Ideal-gas specific heats of various common gases”, obtain the following properties of the air.
Calculate the temperature at state 2
Calculate the ratio between the volumes at state 3 and state 2
Calculate the temperature at state 4
Calculate the net specific work produced by the cycle
Calculate the thermal efficiency of the cycle
Thus, the thermal efficiency of the cycle using the constant specific heats at room temperature is
b)
The thermal efficiency of the cycle using the variable specific heats.
b)

Explanation of Solution
Calculation:
Refer table A-21E, “Ideal gas properties of the air”, obtain the specific internal energy and relative specific volume of air at the temperature of
Calculate the relative specific volume at state 2
Refer table A-21E, “Ideal gas properties of the air”, obtain the specific enthalpy and temperature of air at the relative pressure of
Refer table A-21E, “Ideal gas properties of the air”, obtain the specific enthalpy and relative specific volume of air at the temperature of
Calculate the ratio between the specific volumes at state 3 and state 2
Calculate the relative specific volume at state 4
Refer table A-21E, “Ideal gas properties of the air”, obtain the specific internal energy of air at the relative specific volume of
Calculate the thermal efficiency of the cycle
Thus, the thermal efficiency of the cycle using the variable specific heats is
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Chapter 9 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
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