The figure below shows a gas turbine power plant using air as the working fluid. The accompanying table gives steady state operating data. Air can be modeled as an Ideal gas. Stray heat transfer and the effects of motion and gravity can be ignored. Let To = 290 K, po = 100 kPa. Determine, each in kJ per kg of air flowing, (a) the net power developed, (b) the net exergy increase of the air passing through the heat exchanger, Ƀ3 – Éf2, and (c) a full exergy accounting based on the exergy supplied to the plant found in part (b).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The figure below shows a gas turbine power plant using air as the working fluid. The
accompanying table gives steady state operating data. Air can be modeled as an Ideal gas. Stray
heat transfer and the effects of motion and gravity can be ignored. Let To = 290 K, po = 100 kPa.
Determine, each in kJ per kg of air flowing, (a) the net power developed, (b) the net exergy
increase of the air passing through the heat exchanger, Ƀ3
Ėf2, and (c) a full exergy accounting
based on the exergy supplied to the plant found in part (b).
Qin
T (K)
h (kJ/kg)
° (kJ/kg K)*
3
State
p (kPa)
H Ex
1
100
290
290.16
1.6680
500
505
508.17
2.2297
500
875
904.99
2.8170
Wnet
4
100
635
643.93
2.4688
"º is the variable appearing in Eq. 6.20a and Table A-22.
4
Transcribed Image Text:The figure below shows a gas turbine power plant using air as the working fluid. The accompanying table gives steady state operating data. Air can be modeled as an Ideal gas. Stray heat transfer and the effects of motion and gravity can be ignored. Let To = 290 K, po = 100 kPa. Determine, each in kJ per kg of air flowing, (a) the net power developed, (b) the net exergy increase of the air passing through the heat exchanger, Ƀ3 Ėf2, and (c) a full exergy accounting based on the exergy supplied to the plant found in part (b). Qin T (K) h (kJ/kg) ° (kJ/kg K)* 3 State p (kPa) H Ex 1 100 290 290.16 1.6680 500 505 508.17 2.2297 500 875 904.99 2.8170 Wnet 4 100 635 643.93 2.4688 "º is the variable appearing in Eq. 6.20a and Table A-22. 4
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