a)
The power delivered by the plant assuming constant specific heats for air.
a)
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given:
Temperature of the air at the compressor inlet
Pressure of the air at the compressor inlet
Temperature of the air at the turbine inlet
Pressure of the air at the turbine inlet
Rate of heat transferred to air
Effectiveness for the regenerator
Calculation:
Draw the
Refer Table A-2, “Ideal-gas specific heats of various common gases”, obtain the properties of the nitrogen.
Calculate the pressure ratio
Calculate the temperature at state 2
Calculate the temperature at state 4
For 100% effectiveness of the regenerator, the temperatures at states 5 and 4 are equal and the temperatures at states 6 and 2 are equal.
Calculate the thermal efficiency of the cycle
Calculate the power developed by the plant
Thus, the power delivered by the plant assuming constant specific heats for air is
b)
The power delivered by the plant accounting for the variation of specific heats with temperature.
b)
![Check Mark](/static/check-mark.png)
Explanation of Solution
Calculation:
Refer table A-21, “Ideal gas properties of the air”, obtain the enthalpy and relative pressure of air at the temperature of
Calculate the relative pressure at state 2
Refer table A-21, “Ideal gas properties of the air”, obtain the enthalpy of air at the relative pressure of
Refer table A-21, “Ideal gas properties of the air”, obtain the enthalpy and relative pressure of air at the temperature of
Calculate the relative pressure at state 4
Refer table A-21, “Ideal gas properties of the air”, obtain the enthalpy of air at the relative pressure of
For 100% effectiveness of the regenerator, the enthalpies at states 5 and 4 are equal and enthalpies at states 6 and 2 are equal.
Calculate the thermal efficiency of the cycle
Calculate the power developed by the plant
Thus, the power delivered by the plant accounting for the variation of specific heats with temperature is
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Chapter 9 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
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