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 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 = 298 k, p0 = 1 bar
determine the rate of heat transfer, in kw.