Problem Solving 1. The brake horsepower of a centrifugal pump was studied at various quantities shown in the table below. Q(GPM) o 40 BHP 4.3 4.7 80 5.3 6 120 160 200 6.6 7.4 The total head (in feet) is found to be related to the quantity by the equation: H=-0.0045Q2 +0.3504Q +178.75 Estimate the pump's efficiency, head, and brake horsepower if the required quantity is 180 gal/min (10 pts). 2. Determine the system's total dynamic head (in feet) where the flow is measured to be 500 gal/min. There is one 90 ell on the suction line and two 90 ells on the discharge line. All pipes and fittings have a diameter of 4 inches. Assume that the friction loss at the fittings, the pump, and the discharge level is negligible and that the sump's water level remains constant (15 pts). 90 ell DISCHARGE 2.5 m 20 m GATE VALVE 90'ell PUMP 90* ell 22 m