QUESTION I

Consider the cylindrical tank in the Fig$-$

ure mixing a pure component A stream

and an inert solvent $S$ stream. Assume

perfect flow control. A PI level controller

with a gain $K_c=0\mathrm{.}2mi{n}^{-1},$ manipulates

the outflow with the two inflow streams

being independent. Initially the system

is at steady state with the salient de$-$

sign and operating conditions noted in

the Figure. The initial hold up is $50\%$

of full tank capacity. Answer the follow$-$

ing questions,

reaction ${}_A=k{C}_A($isotherm$al$ reaction