Please solve the question with a good line.
Q1. Consider the reactor shown in the figure below. Assume the chemical reaction of the form: A -> 2B + C is taking place in the liquid phase with a reaction rate of r = CACp. 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 a pure component A and that both feeds have the same temperature.
(a) Assuming a homogeneous 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, F1ss = 8 m^3/s, and F2ss = 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 Ca and CB given V = 1 m^3, CA1 = 5 mole/m^3, CA2 = 2 mole/m^3, CB1 = 0.1 mole/m^3, and Ccss = 1 mole/m and the feed flow rates the same as in part (b).