Q1. Consider the reactor shown in Figure below. Assume chemical reaction of the form: A\rightarrow 2B
+ C is taking place in the liquid phase with a reaction rate of $r = kC_AC_B$. The reaction is
exothermic, and the heat released is removed by means of cooling water running in a coil such that
the reactor is operating isothermally. Note that the second feed has pure component A and that
both feeds have the same temperature.
(a) Assuming homogenous system write down the model equations. Define the state variables, the
input variables and the process parameters. State all assumptions and show all steps.
(b) If the outlet flow rate is related to the liquid level as, compute the liquid level at steady state
given R = 20 m$^2$.$^5$/s, F$_{1ss}$ = 8 m$^3$/s and F$_{2ss}$ = 2 m$^3$/s.
(c) If the temperature is kept constant such that k = 0.5 m$^3$/mole s, compute the steady state value
of C$_A$ and C$_B$ given V = 1 m$^3$, C$_{A1}$ = 5 mole/m$^3$, C$_{A2}$ = 2 mole/m$^3$, C$_{B1}$ = 0.1 mole/m$^3$ and C$_{css}$
= 1 mole/m and the feed flow rates the same as in part (b).
