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A Brayton cycle power plant is shown in the Figure 3-4 below. Air enters the compressor at 100 kPa, 300 K and is compressed

   

A Brayton cycle power plant is shown in the Figure 3-4 below. Air enters the compressor at 100 kPa, 300 K and is compressed to 400 kPa. The isentropic efficiency of the compressor is 80%. All the power developed by the high-pressure turbine is used to run the compressor, and the low-pressure turbine provides the net power output of 97 kW. Each turbine has an isentropic efficiency of 87%. The temperature at the inlet to the high- pressure turbine is 1200 K and the exit pressure for the low-pressure turbine is 100 kPa. Using a cold-air-standard analysis and constant specific heat method, determine: (a) The actual temperature after the compressor (Ta). (b) The actual temperatre (Ta) and the ideal temperature after the high-pressure turbine (T). (c) The pressure after the high-pressure turbine (P.) (d) The ideal temperature (T)vand the actual temperature after the low-pressure turbine (Ta). (e) The mass flow of air into the compressor (in kg/s). () The thermal efficiency of the cycle. 2 Combustion 3 chamber Compressor High-pressure Turbine Low-pressure- Turbine Figure 3-4: Brayton cycle with HP turbine and LP turbine

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