Example:

$\backslash$table$[[$x$,0\mathrm{.}0,0\mathrm{.}1,0\mathrm{.}2,0\mathrm{.}4,0\mathrm{.}6,0\mathrm{.}7,0\mathrm{.}8],[\backslash$table$[[$F$\_($A$0)/-$r$\_($A$)],[($m$^(3))]],0\mathrm{.}89,1\mathrm{.}08,1\mathrm{.}33,2\mathrm{.}05,3\mathrm{.}54,5\mathrm{.}06,8\mathrm{.}00]]$

$AB$ is to be carried out in a PFR$.$ The entering molar flow rate of $A$ is $0\mathrm{.}4mo\frac{l}{s}.$

a$)$ Use one of the integration formulas given in Appendix A$.4$ to determine the PFR reactor volume necessary to achieve $80\%$ conversion.

b$)$ Shade the area in the figure to determine the PFR volume necessary to achieve $80\%$ conversion.