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A Brayton cycle is being used to generate power as part of a combined cycle power plant. It operates on air which enters at 7◦C and 100kPa. The turbine inlet temperature is 1100◦C while the exit i
A Brayton cycle is being used to generate power as part of a combined cycle power plant. It operates on air which enters at 7◦C and 100kPa. The turbine inlet temperature is 1100◦C while the exit is 500◦C.
Assume the compressor and turbine are operating in an isentropic manner. You must use constant specific heats across the turbine, compressor, and combustor. For the compressor use specific heats evaluated 400K. For the combustor and turbine use specific heats evaluated at 1000K.
A) What is the thermal efficiency of this cycle?
B) What would the efficiency be if you used the cold air standard assumption?
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**** ************ ** * 1013 kJ/kgK **** * ************* and turbine: cp * **** ****** * * **** (1000 * *********** 4P4 = ** * ******** = *** *** ******* – k)/k * -02515 STATE *** * 1100 *** = 1373 ******** * *** * isentropic expansionT3P3(1 – **** * ****** *** ************** * T4P4-02515P3 * 9818 ********** *** * ** * **** kPA STATE 1P1 * 100 kPAT1 * **** * 280K Process * *** * isentropic compressionT2 * ********* ** *** **** * ******************* * **** *** = **** ******** = ** *** ** * ***** – *** * 1142(1100 – 2243) * 10000 ************* * ** *** h4 = Cp(T3 *** *** = 6846 **************** * ***** *** *** * -2201 kJ/kgwNET * ******** * *********** * 4645 *************** * ******** = ********** * *************** * ************* ******** * 9818/100 * ***** = 1336Efficiency = ****** ********** * 1 * ****************** ******************* ****************** - ********** * * * **************************** * ****************
