A decanter shown in Fig. E. is used to separate a feed that consists of two completely immiscible Liquids, a light component and a heavy component. Because of the large difference in their densities, the two components from separate liquid phases very rapidly after the feed enters the decanter, the decanter is always full of liquid. The level of the interface between the two liquid phases is denoted by I. Each liquid flow rate can be adjusted by using a control valve, which is connected to a standard PI controller. The control valve equations relate flow rates) pressures, and controller output signals (m1, m2, m3):

Using the following information, propose a pairing of controlled and manipulated variables for a conventional multiloop control configuration based on physical arguments. It is not necessary to calculate a RGA. Available Information

(a) Pressures P0 and P2 are constant:

(b) The feed composition can vary. The nominal value is wH = 0.99, where wH is the weight fraction of the heavy component.

(c) The densities of the pure components are:

(d) At the nominal steady state:

(e) The transmitters and control valves have negligible dynamics compared to the process dynamics

P2 F2 30 psi Light phase mi 250 psi Po Heavy phase 30 psi P3 Fa F = mi(Po - Pi) F = m:(P1 - P:) F= ms(P - Ps) Po = 250 psi P: = 30 psi PH-9 lb/gal pL =3 Ib/gal F = 2093 gal/min, F2= 60 gal/min, Pi = 180 psi