QUESTION $1$

To illustrate the development of a dynamic process model, consider the blending tank as shown in Figure $1.$ Develop a process model and show how $x($the composition of the effluent$)$ might change with time. $($Hint: Use the instructions given in Table $2\mathrm{.}1$ in your prescribed textbook to develop your model.$)$ Give step$-$by$-$step of your development.

Figure $1.$ Stirred$-$tank blending system.

$[32$ Marks$]$