Please provide steps, thx

8. (15 points) The ow system shown in the gure below is activated at time t = 0. Let Q; (t) denote the amount of solute present in the i-th tank at time t. Assume that all the ow 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 inow to Tank 1 (from a source other than Tank 2) is 0.5 kg/ L, and the concentration of solute in the inow to Tank 2 (from a source other than Tank 1) is O kg/L. Assume each tank is mixed perfectly. (a) Set up a system of rst-order differential equations that models this situation. (b) If 621(0) = 20 kg and 622(0) = 0 kg, nd the amount of solute in each tank after t minutes. (c) As if > 00, how much solute is in each tank? Tank 1 Tank 2