Q:- An ideal gas expand in an adiabatic turbine from 1200K and 900kpa to 1000K . Determine the turbine inlet volume flow rate of the gas in m^3/s required to produce turbine work output at the rate of 650 KW. The average values of the specific heats for this gas over the interested temprature range are Cp=1.13 KJ/Kg.K and Cv=0.83 Kj/Kg.k . The gas constant R= 030 KJ/Kg.k. Please assume constant specific heats.

 Q:- An ideal gas expand in an adiabatic turbine from 1200K and 900kpa to 1000K . Determine the turbine inlet volume flow rate of the gas in m^3/s required to produce turbine work output at the rate of 650 KW. The average values of the specific heats for this gas over the interested temprature range are Cp=1.13 KJ/Kg.K and Cv=0.83 Kj/Kg.k . The gas constant R= 030 KJ/Kg.k. Please assume constant specific heats.

Answer :-

Given ,

            Inlet pressure, P1 = 900Kpa

       inlet temprature, T1   = 1200K

         Exit temprature ,T2  = 1000K

            Work output ,   W  = 650KW

Now , We know that 

Work output , W = mCp(T1 - T2)

                       650 = mx1.13x(1200 - 1000)

                        m  =  2.8761 Kg/sec

Also, By using ideal gas equation 

    PV = m RT

  900000xV = 2.8761x030x1000x1200

                 V =  1.15044 m^3/Kg

S, Volume flow rate , Q = Vxm

                                    Q =  1.15044 x 2.8761

                                     Q = 3.3087 m^3/sec

Hence , the volume flow rate of gas through the turbine is 3.3087 m^3/sec