Water (at 25o C) from a lake is desired to be pumped over a 100 m high hill to a pool of a house. A 300 m pipeline has three 45o elbows, two 90o elbows, two gate valves (one wide open and one half open). The dimensions of the pool are 8x6x2 m3 . The readily installed pump whose efficiency is 70% requires 6.4 kW power to fill the pool in 6 hours. The suction line is 5 m long and draw water from 2 m below the surface of the lake. The charge line delivers the water at the point of maximum water level in the pool which is at the same level with the pump and the top of the lake. Calculate the diameter of the pipe if the construction material of the pipe is commercial steel. State your assumptions if there are any
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