The operating efficiency of a pump is being evaluated in the laboratory using a viscous oil with a density of 800kg/m3 as the test fluid. The oil was pumped through a 30.5 metre run of 2-in S40(D=52.5mm) steel pipe from an open storage tank on the ground floor of the laboratory to an open receiving tank on the floor above. The tanks are equipped with overflow weirs in order to maintain the difference in liquid levels in the two tanks at a constant value of 6.1m. The pressure rise across the pump was measured by pressure gauges attached to the inlet and outlet of the pump. The power input to the shaft of the pump and the flowrate of the oil were also measured. Using the experimental data summarized in the table below, estimate: a) the pump efficiencies, , corresponding to the three oil flowrates, and b) the frictional losses, Pf/, in the 2-in line, for the three flowrates in engineering units of J/kg