Problem 2 A pump is needed in a water supply system. The water is being pumped out of a ground-level storage reservoir with water surface elevation of 149.27 ft and needs to pass over a hill 2 miles away, where the pipe centerline is at elevation 200.00 ft. The flowrate is 22 mgd, pipe diameter is 24 inches, Hazen-Williams friction factor is 110, and pressure at the crest of the hill must be at least 20 psi. (a) What head must the pump provide? (b) How much power will be added to the water? (c) What size motor should be purchased if the pump/motor combination has an efficiency of 80 percent?

Benzene at 37.8 °C is pumped through the system of Figure at the rate of 0.1515 m³/min. The reservoir is at atmospheric pressure. The gauge pressure at the end of the discharge line is 345 kN/m². The discharge line is 1.828 m above the pump, while the pump suction is 0.821 m below the level in the reservoir. The discharge line is 1.5-in. Schedule 40 steel pipe. The head friction in the suction line is 0.4066 m and in the discharge line is 4.4664 m. The mechanical efficiency of the pump is 60%. The density of benzene is 865 kg/m³ and its vapor pressure at 37.8 °C is 26.2 kN/m². a) Calculate the total power input. b) Evaluate whether the pump is suitable for this system when the pump manufacturer specifies a Net Positive Suction Head Required (NPSHR) of 3.05 m. Discharge pipeline: 1.5 in schedule 40 steel ha = 4.4664 m P. gauge = 345 x 103 N/m² P2 = Pabs = P P, = (345 x 103 + 101.3 x 103) N/m² P, = 446.3 x 10³ N/m² + Patm gauge h = 0.4066 m P, = 1 atm = 101.3 x 10³ N/m² 1.828 m 0.821 m…

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Q11 Calculate the power required for a water pump used in a closed system with a flow rate Q=0.0076 m³/s. Assume that the section area=0.00511m2 and the discharge (7 marks) area=0.0037m². Water Suction Discharge pump Outlet gauge pressure=250 kPa Inlet gauge pressure=147 kPa