Question 1a)If the set-point is 20 g L-1 what is the actual value if the controller gain is 0.02?

Answer

At steady-state the overall closed-loop gain of the system is:

= (, /, + ) = 0.9375 This means the steady-state value will be 0.9375 20 g L-1 = 18.75 g L-1 , which does not meet the specification

Please show step by step solution showing every little step taken to achieve answer.

In a pharmaceutical process the active ingredient (A) is blended with a binder (B) in a liquid mixing tank. A schematic of the process is shown below: The binder is introduced at a flow-rate of 1000L per minute (i.e. FB=1000Lmin1 ), and this stream contains none of the active ingredient. The outlet flow (Fout) is also 1000L per minute. The concentration of A in the feed (CA,in) is 750kgm3 and the maximum value of FA is 10L per minute. In this case the blending tank can be assumed to be ideally mixed, and the tank has a volume of 3,000L. Here, the aim of the blending system is to achieve the specified concentration of A in the product. It can be assumed that the compositions of the inlet streams and the values of Fout and FB do not change with time