Question

1. A sono terbinie power plant operatury, at a steady state consists of a compressor and a turbine. Air enters the compressor the turbame at 0.45 bar, 428°C. Pother parameters are too a mass flow rate of 3.8 Eyls at 0.95 bar, arc and exits peate britical ne tegning the ideal gas model and gleding a) accompanying heat transfer to air flowing through the heat ex. 6.) the met rate of Exergy camed out at the turbine exit efficieny and a use of temperative of hoor. ergetin efrieding of the turbarie considering 90% Thermal the country of every games only fekete determine the following the the

Answer 1

Criven! A ges turbine © power plonto air mass flow rate, m = 3.8kgla Compressor inlet, Pi = 0.95 bar Ti = 27°C = 300k Pq = 0.gsber T4 = 4250 turbine excit, 6988 atmospheric condition, Po = 0.95bar, To = 300k het work out put, What = 0.8mw Compresser and turbine are adiabchic & neglect Potential energy and kinetic energy. process 1-2 Compression 2-3 + heat exchanger 3-4 - turbine expansion Change in oin we know Tz Tз Orej Tz 300 698 S T2 = 0.43T3 net work done, Whet Wher m Ws - wc in cp { T3 -Ta) - in cp (T2-T1) (T3 - -698 -0.43 T3+300] 3.8 x 1.00s T3 = 4070 K - 1750K Ta rate of energy transfer in heat exchange (9 9 = {hehe) - To (4-5) is mi[ Cpl T3-T) – To f Spin ( 2.) - Rin (9)) = 3.811.cos( 4070-1750) – 360 xl.co5 in sound)

i= 7893 KW دوی The her rate of energy carried out by the turbine exir X - Xe = (ha - To) - To ( sa-so) Emir cp ( T4 - To) – To Y CP TM ( ) - Rime = 3.8 [1.cos (698-360) – 360 [..oos Ingger) -0.26 inleveres 552.5kW The rate of energy destrechani + S 30 To - exergy destruction on = To (Sgen) Sgen = 8) system (AS) surroungs COS) sura m Cpl TG-T) 3.8% l.cos(698-300 To Os surr. = 5.06654 KW/K OS)sy SA-s, OS)sy em [op In (33) -pin) OS)s = 1318 [ nws in ( 90 ) - .287 in ] @S)s = 3:225 kwik from eqn 0 (x) destruction 24-87.43 kw The exergetic efficiency of turbine considering goes thermal efficiency XL = Cha-ha) -TO ($3-$4)) im[ CP LE-Ta) - Tefilm (0) - RIn(] = 3:8[1.c05( 4070-1750)] WTXM x = 8860 and use fa tempe erature of 2 wc- exergy change of turbine Whet 10.037. Nex 880 8860X:9