9th Edition

ISBN: 9781260048766

Author: CENGEL

Publisher: MCG

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Chapter 9.12, Problem 97P

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 c_v = 0.718 kJ/kg·K, c_p = 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

Chapter 9.12, Problem 97P, A gas-turbine power plant operates on a modified Brayton cycle shown in the figure with an overall

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Chapter 9.12, Problem 96P

Chapter 9.12, Problem 98P

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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.

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Solution Summary: The author illustrates the T-s diagram for the modified Brayton cycle. At the exit of the high pressure turbine obtain the temperature and pressure.

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