A piping system is to be designed to deliver 0.5 m 3 /s water from a lake to a reservoir located at an elevation of 78 m from the pump centerline. The reservoir is at atmospheric pressure. The pump...

A piping system is to be designed to deliver 0.5 m³
/s water from a lake to a reservoir located at an elevation of 78 m from the pump centerline. The reservoir is at atmospheric pressure. The pump centerline is 1 m above the surface of the lake. The total pipe run from the lake to the reservior is 420 m. Both intake and discharge pipings should have the same nominal pipe size of 12 in schedule 40. The list of the fittings and valves of the piping system includes one globe valve, two gate valves, two swing check valves, twelve elbows (90^o), and two standard Ts. Find the required pump head and pumping power. Assume a pump efficiency of 70%.