Air expands through a turbine from 10 bar, 900 K to 1 bar, 500K. The inlet veloc

Question

Air expands through a turbine from 10 bar, 900 K to 1 bar, 500K. The inlet velocity is small compared to the exit velocityof 100 m/s. The turbine operates at steady state and developsa power output of 3200 kW. Heat transfer between the turbineand its surroundings and potential energy effects arenegligible. Calculate the mass flow rate of air, in kg/s, andthe exit area in m^2

FOUND:   enthalpy values.     h initial is 932.93kJ/kg      h final is 503.02 kJ/kg
Qcv = 0     Wcv = 3200 kW and no change in potential energy meaning....plus mass typical massbal.

Wcv = m (h1 -h2 +(v^2)/2)        

And this is where i am. Solved for the mass flow rate, but cant get the value specified by my professor.

mass flow rate should be 7.53kg/s      


I guess i could use the ideal gas equation?  

yeah, this problem probably isn't too dificult, I'm just having abrain lapse.

Thanks

Explanation / Answer

substituting the known values in energy equation W=m(h1-h2+V2/2) 3200*103=m(932.93*1000-503.02*1000+1002/2) m=7.357kg/s i hope this helps best of luck with rest of your coursework

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