The flow system shown in the figure is activated at time t = 0. Let Q.(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 1000L 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. Tank 1 Tank 2 a. Set up a system of first-order differential equations that models this situation. %3D Q2 b. If Q, (0) = 20 kg and Q2 (0) = 0 kg, find the amount of solute in each tank after t minutes. Q1 (t) = kg Q2(t) = kg

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