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.
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0e69105-edad-4e40-a986-7d2af8f1b9bd%2F1c86f77d-3916-4278-8fc8-354d7155e239%2Fv34i2b_processed.jpeg&w=3840&q=75)
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