Water is heated in a boiler to produce steam. The water enters the boiler as a liquid at 30 C, 7000 kPa and leaves as a superheated vapor at 500C, 7000 kPa. The water enters through a 10 cm diameter pipe at a rate of 2000 kg/hr and the steam leaves through a 30 cm diameter pipe. At what rate (kW) must heat be added to the water in the boiler