The reaction

A $+$ B $->1/2$ C $+3/2$ D

It was conducted isothermally, and the following data were recorded:

$($a$)$ How large would a CSTR be to achieve $45\%$ conversion?

$($b$)$ Repeat the calculation for a PFR reactor.

$($c$)$ Considering that a PFR reactor was added in series after the CSTR reactor in letter $($a$),$ what is the

volume needed to achieve $85\%$ conversion?

$($d$)$ What is the maximum conversion to be achieved if a CSTR$,$ added in series with the first PFR$,$

has a volume of $42$ dm$3?$ The inlet molar flow rate of A was $150$ mol$/$min$.\backslash$table$[[$X$,0,0,0,1,0,2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,1,0],[-$ra$($mol$/$dm$^(3)($min$)),1,00,1,25,1,67,2,50,5,00,5,00,5,00,2,00,1,25,0,91,0,72],[1/-$FA$\_($A$)($dm$^(3)*$min$/$mol$),,,,,,,,,,,]]$