Question: The design for the mixing process without reaction in Figure is to be analyzed. Additional information is

(1) The inlet stream consists of two components A and S with equal densities.

(2) The pressures P₁, P₂, and P₄ are determined externally.

(3) Pressure P₃ is constant.

(4) All pressure drops occur across the control valves.

(5) The tank is well mixed.

(6) The installed characteristics of the valves are linear.

(a) Develop a dynamic model for this process and analyze the degrees of freedom.

(b) Based on this drawing, determine the maximum number of variables that can be controlled (without equipment changes).

(c) Determine whether the system is controllable when controlling the feed flow rate and the tank level with the valves shown. Add sensors and sketch the design.

(d) Determine whether the system is controllable when controlling the tank level and tank concentration with the valves shown. Add sensors and sketch the design.

(e) Reconsider part id) above with the following process modification. A new pipe and valve (V3) are added to inject a flow of pure component A into the feed stream. All three valves are available for manipulation.