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Question

In simple gas turbine cycle following data are given: Isentropic efficiency of compressor = 80%. Turbine isentropic efficiency = 100%. All shafts have mechanical efficiency = 90%. Turbine output shaft is coupled to compressor and generator. Pressure ratio of compression = 3 : 1.

Maximum turbine temperature = 1000 K. Ambient condition 1 bar, 327 K. Net specific power output from the turbine is ____ KJ/kgk. Take generator efficiency = 95%, cp = 1.005 kJ/kgk.


  1. 87.564

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Solution

The correct option is A 87.564

P1=1bar,P2=P3=3bar,T3=1000K

T2sT1=(3)0.4/1.4

T2s=447.58K

ωc=Cp(T2sT1)nc=151.5kJ/kg

nm=0.9,nG=0.95

ωnet=(ωTωcnm)×nm×ng

T3T1=30.4/1.4T4=730.6K

ωT=Cp(T3T4)=270.75kJ/kg

ωnet=87.564kJ/kg

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