Q$1.(20$ marks$)$

Consider an isothermal chemical reactor with inlet stream flowrate of $F_i.$ The following sets of reactions take place inside the reactor:

$ABC$

$2AD$

The reaction rate constants for each of these reaction are $k_1(AB),k_2(BC)$ and $k_3(2AD),$ respectively. The feed stream contains only component A at a concentration of $C_{Af}.$ Assume perfect mixing and that density and volume of the mixture inside the tank are constant.

a$.$ Derive a complete process model for the system.

b$.$ Identify the input, output, controlled variable, manipulated variable, load variable and parameters of this system