Normal butane $(C_4{H}_{10})$ is to be isomerized to isobutene in a reactor. The reaction is to be carried

out adiabatically in the liquid phase under high pressure using essentially trace amounts of liquid

catalyst. The forward rate constant is $30h^{-1}$ at $360K.$ The forward and reverse reactions are first

order. Calculate the PFR and CSTR volumes necessary to process $200$kmo$\frac{l}{h}$ at $60\%$ conversion

of a mixture $80$mol$\%$ n$-$butane and $20$mol$\%$ i$-$pentane, which is considered an inert. The feed

enters at $330K.($please generate a table with at least five different X$)$

$H_{rx}=-6900\frac{J}{m}ol(n-$butane$)$

$Cp(n-$butane$)=141\frac{J}{m}ol-K$

$Cp(isobutene)=141\frac{J}{m}ol-K$

$Cp(i-$ pentane$)=161\frac{J}{m}ol-K$

Activation energy $(E_{\text{f}\text{o}\text{r}\text{w}\text{a}\text{r}\text{d}})=65\mathrm{.}7k\frac{J}{m}ol$

Equilibrium constant $K_{eq}=3\mathrm{.}03at60C$

$C_{A0}=9\mathrm{.}3kg-mo\frac{l}{m}3$

$T_{\text{f}\text{e}\text{e}\text{d}\text{s}\text{t}\text{r}\text{e}\text{a}\text{m}}=330K$