Reaction AlongrightarrowB is known to be first order. It is going to be carried out in a CFSTR$.$

Water will run through the reactor at a flow rate, $Q,$ of $100\frac{m^3}{m}in,$ and the volume of the CFSTR is $2000m^3.$

At $t=0,$ the reactant A will be added to the input stream of the reactor at an initial concentration of $100m\frac{g}{L}$ on a continuous basis.

Determine the output concentration of $A$ as a function of time for $80$ minutes and plot reactor$-$output response curves $(C_A$ versus time$)$ for reactant $A$

a$)$ if the reaction rate constant $k=0\mathrm{.}2mi{n}^{-1}.$

b$)$ if the reaction rate constant $k=0\mathrm{.}4mi{n}^{-1}.$

c$)$ if the reaction rate constant $k=0\mathrm{.}6mi{n}^{-1}.$

All the results for part $a,b,$ and $c$ will be on the same graph. Use different colors for lines.

Also answer the following questions:

i$.$ What is the $\%$ removal efficiency of $A,$ at steady$-$state for part a$?$

ii$.$ What is the $\%$ removal efficiency of $A$ at steady$-$state for part $b?$

iii. What is the $\%$ removal efficiency of $A$ at steady$-$state for part $c?$

iv$.$ How does $k$ affect the $\%$ removal efficiency?