0.6Kg/s of water at 320K is pumped in a 40mm i.d. pipe through a length of 150m in a horizontal direction and up through a vertical height of 10m. In the pipe there is a control valve which may be taken as equivalent to 200 pipe diameters and other pipe fittings equivalent to 60 pipe diameters. Also in the line there is a heat exchanger across which there is a loss in head of 1.5m of water. If the main pipe has a roughness of 0.0002m, what power must be delivered to the pump