$(20$ pts$)$ The catalytic process of heterogeneous cross metathesis involving ethylene $($E$)$ and $2-$butene

$($B$)$ holds significant importance in industrial contexts due to its capability to generate propylene $($P$),$

addressing the rising demand for this compound. This reaction is conducted utilizing a catalytic packed$-$

bed reactor $($PBR$)$ employing a silica $(Si{O}_2)-$supported