Exercise $8\mathrm{.}5$: Predicting performance

The residence$-$time distribution is tabulated below for a flow reactor that has a feed rate of $16\mathrm{.}2\frac{f{t}^3}{\text{m}\text{i}\text{n}}.$ Under the feed conditions $(c_{Af}=0\mathrm{.}02$lbmo$\frac{l}{f}{t}^3$ and $c_{Bf}=2\mathrm{.}34$lbmo$\frac{l}{f}{t}^3)$the reaction

$A+B={?}^{k_{\text{I}}}C,r=k_1{c}_A$

is essentially first order in the concentration of A and the rate constant is $0\mathrm{.}23mi{n}^{-1}$ at the temperature of the reactor. Determine the effluent concentration of reactant A when the total feed to the reactor is $16\mathrm{.}2\frac{f{t}^3}{\text{m}\text{i}\text{n}}$

Refer to the image for the table.