EBK THERMODYNAMICS: AN ENGINEERING APPR
8th Edition
ISBN: 9780100257054
Author: CENGEL
Publisher: YUZU
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Chapter 9.12, Problem 94P
A gas-turbine power plant operates on a modified Brayton cycle shown in the figure with an overall pressure ratio of 8. Air enters the compressor at 0°C and 100 kPa. The maximum cycle temperature is 1500 K. The compressor and the turbines are isentropic. The high-pressure turbine develops just enough power to run the compressor. Assume constant properties for air at 300 K with cv = 0.718 kJ/kg·K, cp = 1.005 kJ/kg·K, R = 0.287 kJ/kg·K, k = 1.4.
- (a) Sketch the T-s diagram for the cycle. Label the data states.
- (b) Determine the temperature and pressure at state 4, the exit of the high-pressure turbine.
- (c) If the net power output is 200 MW, determine the mass flow rate of the air into the compressor in kg/s.
FIGURE P9–97
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Required information
A gas-turbine power plant operates on a modified Brayton cycle shown in the figure with an overall pressure ratio of 8. Air
enters the compressor at 0°C and 108 kPa. The maximum cycle temperature is 1500 K. The compressor and the turbines
are isentropic. The high-pressure turbine develops just enough power to run the compressor. Assume constant properties
for air at 300 K with cy=0.718 kJ/kg-K, cp=1005 kJ/kg-K. R=0.287 kJ/kg-K, and k=1.4.
Combustion
chamber
Compressor
to
High-pressure
Determine the temperature and pressure at state 4, the exit of the high-pressure turbine.
The temperature at state 4 is
The pressure at state 4 is [
K.
Low-pressure
kPa.
A gas-turbine power plant operates on a modified Brayton cycle with an
overall pressure ratio of 8. Air enters the compressor at 0°C and 100 kPa. The maximum
cycle temperature is 1500 K. The compressor and the turbines are isentropic. The high-
pressure turbine develops just enough power to run the compressor. Assume constant
properties for air at 300 K with C₁ = 0.718 kJ/kg K, Cp= 1.005 kJ/kg K, R = 0.287
kJ/kg K, k=1.4.
(a)
Sketch the (T-s) diagram for the cycle.
(b) Determine the temperature and pressure at state 4, the exit of the high-pressure turbine.
(c) If the net power output is 200 MW, determine the mass flow rate of the air into the
compressor, in kg/s.
Exhaust gases from the turbine of a simple Brayton cycle are quite hot and may be used for other thermal purposes. One proposed use is generating saturated steam at 110C from water at 30C in a boiler. This steam will be distributed to several buildings on a college campus for space heating. A Brayton cycle with a pressure ratio of 6 is to be used for this purpose. Plot the power produced, the flow rate of produced steam, and the maximum cycle temperature as functions of the rate at which heat is added to the cycle. The temperature at the turbine inlet is not to exceed 2000C.
Chapter 9 Solutions
EBK THERMODYNAMICS: AN ENGINEERING APPR
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