hello, may you please assist me with my Advanced Process Design Assignment...thank you

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 75mm internal diameter. From the column to the pump inlet is 30m long and contains 5 standard elbows and 1 fully open gate valve. From the pump outlet to the second column, the line is 300m and contains 10 standard elbows, 4 gate valves (operated fully open) and 1 flow control valve. The fluid level in the first column is 4m above the pump inlet. The operating pressure in the 1 st column is 1.05 bara and that of the 2 nd column 0.3 bar gauge. Determine the operating point on the pump characteristic curve when the flow is such that the pressure drop across the control valve is 35kN/m2. The physical properties of the fluid are