Problem $2$: Multiple reactors in series with experimental data

Consider the exothermic, adiabatic reaction where we define the reaction event as:

A $+$ B $->$ C $+$ D$.$

The following data were recorded for this reaction:

X $00\mathrm{.}200\mathrm{.}400\mathrm{.}600\mathrm{.}650\mathrm{.}700\mathrm{.}750\mathrm{.}800\mathrm{.}850\mathrm{.}90$

$-$rB

$($mol$/$

$($L$*$min$)$

$2\mathrm{.}002\mathrm{.}734\mathrm{.}291010106\mathrm{.}67543\mathrm{.}33$

The total entering molar flow rate is $4$ mol$/$s$,$ where the reactants are fed in the ratio of

$3$:$1($A:B$).$

Problem $2$: Multiple reactors in series with experimental data

Consider the exothermic, adiabatic reaction where we define the reaction event as:

$A+BC+D$

The following data were recorded for this reaction:c$.$ What if you instead begin with a $3\mathrm{.}6$ L CSTR and you follow it with a PFR$.$ What

volume of a PFR do you need to achieve $84\%$ conversion? $[2$ L$]$

d$.$ Is there a range of conversions over which we can use the same size PFR and

CSTR to achieve the same conversion? If so$,$ what is the range?

e$.$ To achieve an overall conversion of $85\%,$ what series of reactors will minimize

the total required volume?