Problem 1) Rankine Cycle Analysis Consider a simple Rankine cycle, steam power plant. The state points are defined in the schematic and the operating conditions are given in the Table la. The steam flow rate is 137.4 lbm/s. You may use "EES," but supply your code. a) Provide a quantitative T-s diagram including all state points, lines of constant pressure, and the "dome." b) Determine all the energy quantities and complete Table 1b. Discuss the value of the quality at state 4. c) Determine all the exergy quantities and complete Table 1c. Assume the dead state temperature is 77°F and the dead state pressure is 14.7 psia. d) Discuss your results. What additional insights does the exergy analysis provide? 3 Quoiler 4 Fuel State 1 2 3 4 State 1 2 3 4 State br (Btu/lbm) 1 ? 2 ? ? ? Boller T (°F) p (psia) ? 0.71 Turbine Table la: State Points and Other Items T(°F) p (psia) Variable ? 0.71 XI ? 700 turbine 1057 700 npump ? 0.71 boiler ? 1057 ? Condenser Table 1b: Energy Results 700 700 0.71 Pump Variable nLeycle Wturbine qboiler condenser Power X4 W W turbine condenser Table 1e: Exergy Results Variable 11.turbine Leycle Exergy destruction in the turbine Boiler exergy input Condenser exergy rejected pump Value 0.0 0.768 0.635 0.91 Value ?% ? Btu/lbm ? Btu/lbm ? Btu/lbm ? MW ? Value ?% ?% ? Btu/lbm ? Btu/lbm ? Btu/lbm

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Problem 1) Rankine Cycle Analysis
Consider a simple Rankine cycle, steam power plant. The state points are defined in the schematic and the
operating conditions are given in the Table la. The steam flow rate is 137.4 lbm/s. You may use "EES," but
supply your code.
a) Provide a quantitative T-s diagram including all state points, lines of constant pressure, and the "dome."
b) Determine all the energy quantities and complete Table 1b. Discuss the value of the quality at state 4.
c) Determine all the exergy quantities and complete Table 1c. Assume the dead state temperature is 77°F
and the dead state pressure is 14.7 psia.
d) Discuss your results. What additional insights does the exergy analysis provide?
3
Quoiler
4
Fuel
State
1
2
3
4
State
1
2
3
4
State br (Btu/lbm)
1
?
2
?
Boiler
?
?
Table 1a: State Points and Other Items
T (°F) p (psia)
Variable
?
0.71
XI
?
700
turbine
1057
700
pump
?
0.71
boiler
T (°F) p (psia)
?
0.71
Turbine
?
1057
?
Condenser
Table 1b: Energy Results
700
700
0.71
W
Pump pump
Variable
nLeyele
Wturbine
qboiler
condenser
Power
X4
Table 1c: Exergy Results
Variable
nII.turbine
nIL.cycle
W,
turbine
Qcondenser
Value
0.0
0.768
0.635
0.91
Value
?%
Exergy destruction in the turbine
Boiler exergy input
Condenser exergy rejected
? Btu/lbm
? Btu/lbm
? Btu/lbm
? MW
?
Value
?%
?%
? Btu/lbm
? Btu/lbm
? Btu/lbm
Transcribed Image Text:Problem 1) Rankine Cycle Analysis Consider a simple Rankine cycle, steam power plant. The state points are defined in the schematic and the operating conditions are given in the Table la. The steam flow rate is 137.4 lbm/s. You may use "EES," but supply your code. a) Provide a quantitative T-s diagram including all state points, lines of constant pressure, and the "dome." b) Determine all the energy quantities and complete Table 1b. Discuss the value of the quality at state 4. c) Determine all the exergy quantities and complete Table 1c. Assume the dead state temperature is 77°F and the dead state pressure is 14.7 psia. d) Discuss your results. What additional insights does the exergy analysis provide? 3 Quoiler 4 Fuel State 1 2 3 4 State 1 2 3 4 State br (Btu/lbm) 1 ? 2 ? Boiler ? ? Table 1a: State Points and Other Items T (°F) p (psia) Variable ? 0.71 XI ? 700 turbine 1057 700 pump ? 0.71 boiler T (°F) p (psia) ? 0.71 Turbine ? 1057 ? Condenser Table 1b: Energy Results 700 700 0.71 W Pump pump Variable nLeyele Wturbine qboiler condenser Power X4 Table 1c: Exergy Results Variable nII.turbine nIL.cycle W, turbine Qcondenser Value 0.0 0.768 0.635 0.91 Value ?% Exergy destruction in the turbine Boiler exergy input Condenser exergy rejected ? Btu/lbm ? Btu/lbm ? Btu/lbm ? MW ? Value ?% ?% ? Btu/lbm ? Btu/lbm ? Btu/lbm
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