from the given problem $(8\mathrm{.}13)$ develop a

principle involved to solve the problem.

Discuss how to analyze the problem

$($analysis of the problem$)($like a CASE

STUDY$)$ and then the solution of the

problem. provide citations

$8\mathrm{.}13$ Under appropriate conditions, the gas$-$phase partial oxidation

of acetaldehyde to peracetic acid is autocatalytic. The reaction

stoichiometry is

$C{H}_3$CHO$+O_{2}C{H}_{3}C{O}_{3}H$

and the corresponding rate expression is

$r=k_{\text{e}\text{f}\text{f}}(C{H}_3$CHO${)}^{1\mathrm{.}5}[(O_2)+(C{H}_{3}C{O}_{3}H)]$

For present purposes you may assume that

$k_{\text{e}\text{f}\text{f}}={10}^{13\mathrm{.}78}{e}^{-20,\frac{000}{R}T}$

for $k_{\text{e}\text{f}\text{f}}$ in $c\frac{m^{\frac{9}{2}}}{mo{l}^{\frac{3}{2}}*s},T$ in $K,$ and $R$ in $ca\frac{l}{\text{m}\text{o}\text{l}*K}.$

Consider a feedstock consisting of $75\mathrm{.}0\%\frac{v}{v}$ acetalde$-$

hyde, $5\mathrm{.}0\%$ oxygen, and $20\mathrm{.}0\%$ nitrogen. For a tubular reactor

designed for isothermal operation at $200C$ and $1\mathrm{.}5$atm, deter$-$

mine the space time necessary to achieve $99\%$ conversion of

the limiting reagent. Ideal gas behavior may be assumed.