Problem on adiabatic packed bed reactor

Giobal rale is $g$ wen as$,$

$r_7=k(p_e-\frac{1}{}{p}_s{p}_N)$

${}_{,}-$ partial pressure of e$-$bentene

$p,"$ partal prewsure of styrere

$p_y=$ partial pressure of hydrogen

k$-$formerd rete corstant

K$-$eaill hrinam rate worsts vt

$k-6^{**}{10}^{t4}{e}^{e}k$ esar

Derise an equation to correlard the bength of reattor with corvericer under adibme condion paded with catalytic pelets to condast the reatron. If $1\mathrm{.}16m$ knges ib requed for $45s$ a day? How moxh catalyts hane to be uied?