$P{17}_B$ OEQ $($Old Exam Question$).$ The following $E(t)$ curves

were obtained from a tracer test on two tubular

reactors in which dispersion is believed to occur.

A second$-$order reaction

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

is to be carried out in this reactor. There is no dispersion

occurring either upstream or downstream of the reactor,

but there is dispersion inside the reactor.

What is the final time $t_1($in minutes$)$ for the reactor shown in Figure

P$17-6$ B $($a$)?$ In Figure P$17-6$ B $($b$)?$Figure P$17-6$ B $($a$)$ RTD reactor A; $($b$)$ RTD reactor B$.$

What is the mean residence time, $t_m,$ and variance, ${}^2,$ for the reactor

shown in Figure P$17-6{?}_B($a$)?$ In Figure P$17-6$ B $($b$)?$

What is the fraction of the fluid that spends $7$ minutes or longer in

Figure P$17-6$B $($a$)?$ In Figure P$17-6$B $($b$)?$

Find the conversion predicted by the segregation model for reactor $A.$

Find the conversion predicted by the maximum mixedness model for

reactor $A.$

Find the conversion predicted by the T$-$I$-$S model for reactor A$.$

Repeat $($d$)-($f$)$ for reactor B$.$

Now assume the reaction is first order with $k_1=0\mathrm{.}2mi{n}^{-1},$ what are the

conversions predicted by the tanks$-$in$-$series, the segregation in the

maximum mixedness model?