15 kg/s of steam is generated in the boiler of a cogeneration plant at 10 MPa and 400°C. In normal operation, steam expands in a turbine to a pressure of 20 kPa and all of it passes through the condenser. When process heat is required, 5 kg/s of steam from turbine is sent to the process heater at a pressure of 400 kPa where steam leaves as saturated liquid and is pumped to boiler pressure. (a) Determine the power produced in normal operation. (b) Determine the power produced and the rate of process heat supplied when the process heat is required and the utilization factor of the plant.