
The cycle’s net specific work, the specific heat addition and the thermal efficiency.

Explanation of Solution
Given:
Compression ratio
Cut off ratio
Pressure ratio
Temperature of air at state 1
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 pressure at state 2
Calculate the pressure at state x
Calculate the temperature at state x
Calculate the temperature at state 3
Calculate the temperature at state 4
Calculate the amount of work during the process 1-2
Calculate the amount of heat during the process 2-x
Calculate the amount of heat during the process x-3
Calculate the amount of work during the process x-3
Calculate the amount of work during the process 3-4
Calculate the cycle’s net specific work
Thus, the cycle’s net specific work is
Calculate the specific heat addition
Thus, the specific heat addition is
Calculate the thermal efficiency of the cycle
Thus, the thermal efficiency of the cycle is
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Chapter 9 Solutions
Fundamentals of Thermal-Fluid Sciences
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