The flow system shown in the figure is activated at time t 0

Last updated: 10/8/2023

The flow system shown in the figure is activated at time t 0 Let Qi t denote the amount of solute present in the ith tank at time t Assume that all the flow rates are a constant 10 L min It follows that the volume of solution in each tank remains constant assume this volume to be 1000 L The concentration of solute in the inflow to Tank 1 from a source other than Tank 2 is 0 7 kg L and the concentration of solute in the inflow to Tank 2 from a source other than Tank 1 is 0 kg L Assume each tank is mixed perfectly a Set up a system of first order differential equations that models this situation 1 50 HGGI 1 100 Qi Q 1 100 1 50 2 b If Q 0 30 kg and Q2 0 30 kg find the amount of solute in each tank after t minutes Q t kg Q t kg 7 0