A pump is required to deliver 150L/s through a 300mm diameter pvc pipe (f=0.01) from a well to a reservoir. The water level in the well is 1.5m below the ground surface and the water surface in the reservoir is 2m above the ground surface. The delivery pipe is 300m long, and local /minor losses can be neglected. A pump manufacturer suggests using a pump with a performance curve given by hp=66.67105Q2 Where hp in meters and Q in L/5. a) Derive the pump "system curve" equation for this operation set up b) Plot system curves and operating curves on the same plot and show operating point c) Calculate the discharge at the operating point and comment on the adequacy of single pump for this operation. d) Calculate the operating point discharge and it's adequacy for this operation when two such pumps are used in parallel