(1 pt) 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 0.5 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. 1. Set up a system of first-order differential equations that models this situation. Q: Q₂ 5 Q1 H 2. If Q1 (0)30 kg and Q2(0) = 0 kg, find the amount of solute in each tank after t minutes. Q1(t) = Q2(t)= 3. As t∞, how much solute is in each tank? In the long run, Tank 1 will have In the long run, Tank 2 will have kg of solute. kg of solute. (Reread the question and think about why this answer makes sense.) kg kg Tak1 Tank 2