Water (assumed to be incompressible) is pumped at a constant rate of 22.7 kg/min through a pipeline that has an internal diameter of 50.8 mm. The pipe discharges through a nozzle that has a diameter of 25.4 mm at the exit and is at an elevation of 30 m above the inlet to the pump. At the inlet to the pump the water is at 294 K and 137.9 kPa. At the exit of the nozzle, the water is at 294 K and 101.3 kPa. Neglecting friction and heat losses, determine the power that must be supplied to the pump.