Three mixed flow reactors $($MFR$)$ with constant density are connected in series

to study the liquid phase decomposition rate of A$.$ Let us find the reaction rate

equation for an nth$-$order elementary reaction of unknown order in steady

state, that is$,-r_A=k{C}_A^n$

Express the space velocity $({}_1,{}_2,{}_3)$ for the three reactors connected in series

using the concentration of the reactant $(C_{A0},C_{A1},C_{A2},C_{A3})$ and the reaction rate

constant $k.($note that chemical reactions are known as nth$-$order basic reactions,

that is$)$

The concentration of feed $A(C_{A0})$ entering the first reactor is $40$mol$\frac{A}{L},$ the

hold time $(t_{h1})$ is $100$ sec$,$ and the concentration of feed $A(C_{A1})$ entering the second

reactor is $20$mol$\frac{A}{L}.,$ the residence time $(t_{h2})$ is $200sec,$ the concentration $(C_{A2})$

of feed A entering the third reactor is $10$mol$\frac{A}{L},$ and the residence time $(t_{h3})$ is

$400$ sec$.$ Find the order $(n)$ of the elementary reaction.

Find the reaction rate constant $($k$)$ using $1)$ and $2).$

Find the final concentration of $A(C_{A3})$ coming out through the third reactor.