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A gas-turbine power plant operates on the simple Brayton cycle with air, assumed as an ideal gas, as the working fluid and delivers 15MW of
A gas-turbine power plant operates on the simple Brayton cycle with air, assumed as an ideal gas, as the working fluid and delivers 15MW of power. The minimum and maximum temperatures in the cycle are 300K and 1000K, and the pressure of air at the compressor exit is 8 times the value at the compressor inlet. Data for air are given as CP=1.000kJ/kg/K and k=1.4. - (a. 2 points) Sketch a process diagram and a Ts diagram for this cycle. Report known values on one diagram. - (b. 2 points) Compute the temperature values at the exit of the compressor and of the turbine, assuming isentropic operation. - (c. 2 points) Compute the mass flow rate circulating in the process. - (d. 2 points) If Qin=30MW, what is the thermal efficiency of the process? Is this process thermodynamically feasible between the given temperatures? - (e. 2 points) It is proposed to use a regenerator to recover part of the heat rejected to the environment. Assuming isentropic operation of the compressor and the turbine, sketch the Ts diagram for the new process. Is it a valuable idea? Justify your answer. Useful relations: h2h1s2s1T1T2,s=CPT1T2dT=CPT1T2TdTRP1P2PdP=(P1P2)kk1
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