Question: 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

The flow system shown in the figure is activated at time

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

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