3.8 Steam leaves the boiler of a power plant at 7 MPa, 500°C as shown in Figure P3.8. As the steam passes to the turbine, there is a small pressure drop due to friction in the pipe and the temperature drops due to a heat loss through the pipe’s insulation. The surface temperature of the pipe insulation is 45°C.

Because of these effects, the steam enters the turbine at 6.93 MPa, 493°C. The steam then passes through an adiabatic turbine and exits at 10 kPa. The turbine has an isentropic efficiency of 85% and is delivering 600 MW of power.
Determine the following:

a. Heat transfer rate from the pipe connecting the boiler to the turbine (in MW)

b. Entropy generation rate associated with the heat loss from the pipe (kW/K)