Example $5\mathrm{.}3$ Benzene is to be produced from toluene according to the reaction ${?}^8$ :

$C_6{H}_{5}C{H}_3{?}_{\{\begin{array}{ccc}\text{:}& \text{c}\text{o}\text{l}\text{u}\text{e}\text{n}\text{e}& \end{array}}+H_2{?}_{\text{h}\text{y}\text{d}\text{r}\text{o}\text{g}\text{e}\text{n}}longrightarrow{C}_6{H}_6{?}_{\text{b}\text{e}\text{n}\text{z}\text{e}\text{n}\text{e}}+C{H}_4{?}_{\text{m}\text{e}\text{t}\text{h}\text{a}\text{n}\text{e}}$

Some of the benzene formed undergoes a number of secondary reactions in series to unwanted byproducts that can be characterized by the reaction to diphenyl, according to the reaction:

$2C_6{H}_0{?}_{\text{b}\text{e}\text{n}\text{z}\text{e}\text{n}\text{e}}{C}_{12}{H}_{10}{?}_{\text{d}\text{i}\text{p}\text{h}\text{e}\text{n}\text{y}\text{l}}+H_2{?}_{\text{h}\text{y}\text{d}\text{r}\text{o}\text{g}\text{e}\text{n}}$

Benzene is to be produced from $1$ oluene according to the reaction:

$C_6{H}_{5}C{H}_3+H_2{C}_6{H}_6+C{H}_4$

Some of the benzene undergoes a secondary reaction in series to an unwanted by$-$product, diphenyl, according to the reaction:

$C_6{H}_6{C}_{12}{H}_{10}+H_2$

The compositions of the reactor feed and effluent streams appear in the table below:

$\backslash$table$[[$Component$,\backslash$table$[[$Inlet Flowrate$],[Kmo\frac{l}{h}$