Question
8. An ideal air-standard Brayton cycle operates at steady state with compressor inlet conditions of 250...
8. An ideal air-standard Brayton cycle operates at steady state with compressor inlet conditions of 250 K and 25 kPa. The compressor pressure ratio is 10. The turbine inlet temperature is 1800 K. For the cycle: (a) the heat addition and work done in each process, in kJ/kg, (b) the thermal efficiency (c) the back work ratio (35 points)
Answers
also from ideal gas equation solution, We know that PV diagram for air standard Brayton cycle in given by 3 for state - 1 T 11 250K Inlet to compressor PL 25 kPa For state - 2 he have Pressure ratio h → R = 10p, =10 X 256 250 kPa and Process - 1-2 isentropic for ideal Brayton Cycle PUT = с 7 e v PV - MRTva Р ' ) с PTVpY =( plit 7 TT 1-Y Y y E 7, - → an / I-V 1 P T, Prv y - [6 g for air = 1.4 T, 4 1 7-4 (-1.4) 1-4 (250) 482.67 K Turbine Inter Temperatures 1800k → Iz = 1800 K Also B-4 is isentropic expansion 1-7 y SI - Tu - Tч 12 = b = 25okia = P = 25 4 my 4 1-1.4 10 (1900)""] 932-305Knim Staud - heat supplied ag-3 ep (Tz - I.) = 1.005 kJ/kg k = 1:005 [18001 482.67) KJ /kg 1323. 92 heat rejected 944 Co (Ty-T ) = 1.005 [ [932. 305- 685.716 250] KJ/kg work Added to compresor Wire - RlTz-t.) :287 [482-67- 250] 11.4 = - 166.94 kJ/kg work out from Turbine RITZ T3) 2871 932305-1800) 1-1.4 1-1.4 622.57 kJ / kg 622-57-166.94 Met work output 455.63 kJ/kg.Thermal efficiency wo Net Work Heat Input 455.63 13 23. 92 0.34 41 34.41 The back work ratio The fraction of work produced by the turbine that is consumed by compressor Wc Wp 166.94 622.57 11 0.2681 26.81 y.
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