Example $8-3$ Series Reactions in a Batch Reactor

The elementary liquid$-$phase series reaction

$A{k}_{1}B{k}_{2}C$

is carried out in a batch reactor. The reaction is heated very rapidly to the reaction temperature, where it is held at this temperature until the time it is quenched.

$($a$)$ Plot and analyze the concentrations of species A$,$ B$,$ and C as a function of time.

$($b$)$ Calculate the time to quench the reaction when the concentration of $B$ will be a maximum.

$($c$)$ What are the overall selectivity and yields at this quench time?

eactions in Series

$295$

Additional Information

$C_{A0}=2M,k_1=0\mathrm{.}5h^{-1},k_2=0\mathrm{.}2h^{-1}$

Solution

Part $($a$)$

Number the Reactions:

The preceding series reaction can be written as two reactions

$(1)$ Reaction $1,A{k}_{1}B,-r_{1A}=k_1{C}_A$

$(2)$ Reaction $2,B{k}_{2}C,-r_{2B}=k_2{C}_B$