A process fluid is pumped from the bottom of one distillation column to another, using a centrifugal pump. The line is standard commercial steel pipe 75 mm internal diameter. From the column to the pump inlet, the line is 25 m long and contains 6 standard elbows and a fully opened gate valve. From the pump outlet to the second column, the line is 250 m long and contains 10 standard elbows, 4 gate valves (operated fully open), and a flow-control valve. The fluid level in the first column is 4 m above the pump inlet. The feed point of the second column is 6 m above the pump inlet. The operating pressure in the first column is 1.05 bara and that of the second column 0.3 barg. Determine the operating point on the pump characteristic curve when the flow is such that the pressure drop across the control valve is 35 kN/m². The physical properties of the fluid are density 875 kg/m³, viscosity 1.46 mN m²s. Also, determine the NPSH, at this flow rate, if the vapor pressure of the fluid at the pump suction is 25 kN/m². Pump Characteristic Flow rate, m³/h 0.0 18.2 27.3 36.3 45.4 54.5 63.6 Head, m of liquid 32.0 31.4 30.8 29.0 26.5 23.2 18.3