A steam turbine operating at steady state develops 9750 hp. The turbine receives 100,000 pounds of steam per hour at 400 lbf/in.² and 600F. At a point in the turbine where the pressure is 60 lbf/in.² and the temperature is 300F, steam is bled off at the rate of 25,000 lb/h. The remaining steam continues to expand through the turbine, exiting at 2 lbf/in.² and 90% quality. (a) Determine the magnitude of the rate of heat transfer from the turbine to its surroundings, in Btu/h. (b) Determine the net (input minus output) exergy supplied to the turbine by the steam, in Btu/h. (c) Evaluate an exergetic efficiency for the turbine that is defined as the power output divided by the net exergy supplied to the turbine by the steam. Kinetic and potential energy effects can be ignored. Let T₀ = 77F, p₀ = 1 atm.