A pump is used to deliver discharge of 0.05 m3/s from a river to a storage reservoir. The system consists of 500 m of 0.15 m cast iron pipe with a 90o bend with a radius of 0.75 m, which then transitions to a 0.1 m cast iron pipe 100 m long, as shown below. If the difference between the water levels in the river and the reservoir in 20 m and the water discharges into the atmosphere at the reservoir through a fully open gate valve, find the power required by the pump (Assume water temperature is 20oC and the corresponding kinematic viscosity, n = 1.003 × 10-6 m2/s).