A combined gas turbine-vapor power plant operates. Steady- state data at principal states of the cycle are given in the table below. An air-standard analysis is assumed for the gas turbine in which the air passing through the combustor receives energy by heat transfer at a rate of 50 MW. Except for the combustor, all components operate adiabatically. Kinetic and potential energy effects are negligible. Determine: (a) The mass flow rates of air, steam, and cooling water, each in kg/s (b) The net power developed by the gas turbine cycle and the vapor cycle, respectively, each in MW (c) The thermal efficiency of the combined cycle (d) A full accounting of the net exergy increase of the air passing through the combustor of the gas turbine, mair [ef3 – ef2], in MW, and the exergetic efficiency of the combined cycle. Compute the exergetic efficiency both assuming 30 % exergy destruction in combustor and ignoring that exergy destruction. Let To = 300 K, po = 100 kPa.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A combined gas turbine-vapor power plant operates. Steady-
state data at principal states of the cycle are given in the table below. An air-standard analysis 
is assumed for the gas turbine in which the air passing through the combustor receives energy 
by heat transfer at a rate of 50 MW. Except for the combustor, all components operate 
adiabatically. Kinetic and potential energy effects are negligible. Determine: 
(a) The mass flow rates of air, steam, and cooling water, each in kg/s
(b) The net power developed by the gas turbine cycle and the vapor cycle, respectively, 
each in MW
(c) The thermal efficiency of the combined cycle
(d) A full accounting of the net exergy increase of the air passing through the combustor of 
the gas turbine, mair [ef3 – ef2], in MW, and the exergetic efficiency of the combined 
cycle. Compute the exergetic efficiency both assuming 30 % exergy destruction in 
combustor and ignoring that exergy destruction. 
Let To = 300 K, po = 100 kPa. 

State
P (bar)
T (°C)
h (kJ/kg)
1
1
25
298.2
2
3
14
691.4
14
1250
1663.9
4
1
923.2
5
1
200
475.3
6
125
204.5
7
8
9
125
0.1
0.1
500
3341.8
2175.6
-
191.8
10
11
-
20
35
84
146.7
Transcribed Image Text:State P (bar) T (°C) h (kJ/kg) 1 1 25 298.2 2 3 14 691.4 14 1250 1663.9 4 1 923.2 5 1 200 475.3 6 125 204.5 7 8 9 125 0.1 0.1 500 3341.8 2175.6 - 191.8 10 11 - 20 35 84 146.7
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