The following $E(t)$ curves were obtained from a tracer test on two tubular reactors in which dispersion is believed to occur.

Figure $1$: Response curve of a RTD tracer experiment on $($a$)$ Reactor A and $($b$)$ Reactor B

The following second order reaction:

$AkB$ with $k{C}_{A0}=0\mathrm{.}2mi{n}^{-1}$

is to be carried out in these reactors. Assuming that there is no dispersion occurring either upstream or downstream of the reactor, but only inside the reactor,

$($a$)$ Calculate the conversion predicted by the Segregation model for each reactor $[5$ Marks$]$

$($b$)$ Calculate the conversion predicted by the Maximum Mixedness model for each reactor

$[5$ Marks$]$