Carbon dioxide (CO2) gas enters a turbine operating at steady state at 50 bar, 500 K with a velocity of 50 m/s. The inlet area is 0.02 m2. At the exit, the pressure is 20 bar, the temperature is 440 K, and the velocity is 10 m/s. The power developed by the turbine is 3 MW, and the heat transfer occurs across a portion of the surface where the average temperature is 462 K. Assume ideal gas behavior for the carbon dioxide and neglect the effect of gravity. Let T0 = 298K, p0 = 1 bar.
a) Determine the rate of heat transfer in kW.
b) Perform a full exergy accounting, in kW, based on the net rate exergy is carried into the turbine by the carbon dioxide.