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A 125 mm diameter pipeline conveying water at 10 degrees Celsius contains 50 m of a straight galvanized pipe, 5 fully open gate valves, 1 full open angle valve, 7 standard 90 degree elbows, 1 square-edged entrance from a reservoir, and 1 free discharge. The entrance conditions are p1 = 150kPa, and z1= 15 m, and exit conditions are p2 = 0kPa and z2 = 30m. A centrifugal pump is installed in the line to move the water. What pressure rise must the pump deliver so that the volume flow rate will be Q= 50 L/s.
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