Water at 20 C is being pumped from a storage tank to an elevated tank at the rate of 5.0 x 10^-3 m/s. All the pipes used, as shown in the figure below, are 4 inches (100 mm) Schedule 40 pipes [1]. The pump has an efficiency of 65%. 1a)Calculate the kW power needed for the pump. 1b)Assume that the power of the pump is known, as you decided in question 1a, but the flow rate is now unknown. Solve for the flow rate.

[1] A 4 inches (100 mm) Schedule 40 pipe has an outside diameter of 4.500 inches (114.30 mm), a wall thickness of 0.237 inches (6.02 mm), giving a bore of 4.026 inches (102.26 mm). https://www.engineeringtoolbox.com/asme-steel-pipes-sizes-d_42.html

100 m 2 15 m 5 m 50 m 4-in, pipe pump