Nitrogen gas enters a turbine operating at steady state through a 2-in.-diameter duct with a velocity of 200 ft/s, a pressure of 50 lbf/in.2 , and a temperature of 1000R. At the exit, the velocity is 2 ft/s, the pressure is 20 lbf/in.2 , and the temperature is 700R. Heat transfer from the surface of the turbine to the surroundings occurs at a rate of 16 Btu per lb of nitrogen flowing. Neglecting potential energy effects and using the ideal gas model, determine the power developed by the turbine, in horsepower