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 1000 L. The concentration of solute in the inflow to Tank 1 (from a source other than Tank 2) is 0.6 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 mbxed perfectly. a. Set up a system of first-order differential equations that models this situation. -1/50 1/100 Qi 1/100 -1/50 b. IfQ,(0) = 20 kg and Q:(0) = 0 kg, find the amount of solute in each tank after t minutes. %3D Q,(1) = kg kg Q:(1) = C. As t oo, how much solute is in each tank? In the long run, Tank 1 will have 400 kg of solute. In the long run, Tank 2 wilI have 200 kg of solute.

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