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.

Elements Of Electromagnetics
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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.
Transcribed Image Text: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.
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