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Calculate the necessary pump horsepower across a system, along with the pressure developed in the pump for a system containing a liquid solution with a density of 1220 kg/m3 , moving at a volumetric flow rate of 0.56 m3 /min. The liquid initially sits in a large open storage tank and is transferred to the pump via a schedule 80 stainless steel pipe with a nominal diameter of 4 in. The discharge pipe (also schedule 80 stainless steel) from the pump has an inner diameter of 2.5 in. The liquid discharges to an open tank, 21 m above the liquid level of the feed storage tank. The flow through this system can be assumed turbulent and the total friction loss is 30 J/kg. The pump has an efficient of 83%.