1. Fresh liquid reactant with a flowrate of 20 m³/min enters a vessel V; that is maintained at 500 kPa. The bottom stream from the vessel flows through a heat exchanger E, and the reactor R₁ and then to another vessel V2 where it is flashed. Assume that the pressure of V2 is the same as R₁ outlet pressure. Due to low single-pass conversion, it is desired that a portion of the liquid from the bottom of V2 is recycled back to bottom of V, by using a pump P1. Elevation of Vi bottom, E, inlet, RI inlet and V2 bottom are 5 m, 10 m, 20 m, and 4 m, respectively, from the ground. P₁ is located on the ground. Equivalent length of the entire system from P₁ to Vi is 100 m with D-0.25 m and f (friction factor)=0.02. Pressure drop in R₁ is constant at 30 kPa irrespective of flowrate. However for E1, pressure drop varies with flowrate and it has been observed that the pressure drop in Er is 2 kPa for a flowrate of 2 m³/min. Assume turbulent flow conditions. Assume that the frictional pressure drop in the pump suction line is negligible. Assume that pressure drop in pipe/connection/fitting from V₁ to V2 is negligible mainly due to short run of pipes, etc. in that section. Neglect the effect of liquid inside Vi and V2 on pressure. Other data: Density of the process stream can be assumed to be constant at 1000 kg/m³ Pump curve is given by: APpump (kPa) = 8000 - 202 where ú is flowrate in m³/min NPSHR of the pump is given by: NPSHR(kPa) = 2 + 0.032 where ú is flowrate in m³/min no need to worry about inlet a. What is the maximum recycle flowrate assuming that there is no cavitation? its outlet b. Will the pump cavitate for the maximum flowrate that you obtained in part a? C. What is the maximum recycle flowrate possible in this system? d. For regulating the recycle flowrate, a control valve is installed in the recycle line. For this control valve, it has been observed that the pressure drop is 9 kPa for a flowrate of 6 m³/min even when the control valve is fully open. What is the maximum recycle flowrate possible in this system?