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ch8solutions - 8-16 The four processes of an air-standard...

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8-16 The four processes of an air-standard cycle are described. The cycle is to be shown on P-v and T-s diagrams, and the maximum temperature in the cycle and the thermal efficiency are to be detennined. Assumptions 1 The air-standard assumptions are applicable. 2 Kinetic and potential energy changes negligible. 3 Air is an ideal gas with constant specific heats. Properties The properties of air at room temperature are Cp = 1.005 kJ/kg.K, C" = 0.718 kJ/kg. K. ; k = 1.4 (Table A-2). Analysis (b) From the ideal gas isentropic relations and energy balance, p ( ) (k-J)/ k { ) 0.4/J.4 i T 2 = TJ !01- = (300K 1000kPa = 579.2K . ~!: . PJ 100kPa 2'i 'IV 13 8-16 The four diagrams, and the maximum temperature in the cycle and the thermal effil Assumptions 1 The air-standard assumptions are applicable. 2 Kinetic negligible. 3 Air is an ideal gas with corn Properties The properties of air at room k = 1.4 (Table A-2). Analysis (b) From the ideal gas isentropi qin =h3 -h2 =Cp(T3 -T2) 2200 kJ/kg = (1.005 kJ/kg. KXT3 -t 579.2) Tmax =T3 =2768 K Of, ) ~=~ ---+ T4 ;~T3 ;':'~~(2768 K);276.8 K T3 T4 P.~ 1000 kPa qoul ; q34.oul + Q4J.oul = (U3 - U4)+ (h4, - hi) I ;Cv(T3 -T4)+Cp(T4 -T1) ; (0.718 kJ/kg. KX2768 - 276.8)K + (1.005 kJ/kg. KX276.8- ; 1766 kJ/kg (c) 17th = 1-~=1- 1766 kJ/kg qin 2200 kJ/kg= 19.7% and P qil 2,---';' l ~ q 34 \~--~- ~ I q41 V T 3 d 1ft 2 q34 ) q4~ 300 )K
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