Problem#$1$

P$10-17$ A Sketch qualitatively the reactant, product, and activity profiles as a function of length at various times for a packed$-$bed reactor for each of the following cases. In addition, sketch the effluent concentration of $A$ as a function of time. The reaction is a simple isomerization:

AlongrightarrowB

$($a$)$

Rate law: $,-r_A^{\text{'}}=ka{C}_A$

Decay law: $,r_d=k_{d}a{C}_A$

Case I: $k_{d}k,$ Case II: $k_d=k,$ Case III: $k_{d}k$

$($b$)-r_A^{\text{'}}=ka{C}_A$ and $r_d=k_d{a}^2$

$($c$)-r_A^{\text{'}}=ka{C}_A$ and $r_d=k_{d}a{C}_B$

$($d$)$ Sketch similar profiles for the rate laws in parts $($a$)$ and $($c$)$ in a moving$-$bed reactor with the solids entering at the same end of the reactor as the reactant.