Questions Duration: 30 minutes 1. The figure below shows a schematic description of a dilution process using a mixer. The mixing tank operates at a constant temperature and its content is assumed to be well-mixed. The holdup volume of the mixer is V. Stream A is fed at a flowrate of F. and composition to the mixer. Water is fed at a flowrate of F1 to dilute the composition of stream A to a final composition in the outlet stream that is flowing at F2. Assuming all streams are incompressible and have the same density a) Develop expressions for the dynamic (un-steady state) condition of the process. b) Develop an expression for the steady state composition of the outlet c) Determine the degrees of freedom to control the final composition of the outlet Forro V. CA Fa.CA 2. A filtration system has the second order process model below. By using Laplacian transformation, +2y = 3 d! y (0) = y(0)=0 dr (a) Determine whether or not the process dynamics is (i) bounded; and (ii) oscillatory. (b) Develop an expression for the time-dependent characteristics of the controlled variable yo) and plot the response characteristics. (c) Determine the normalized response characteristics