DME is Produced by the dehydration of methanol over an amorphous alumina catalyst treated with

$10\mathrm{.}2\%$ silica. The rate law for such with a conversion of $80\%$ is;

$-r_{\text{m}\text{e}\text{t}\text{h}\text{a}\text{n}\text{o}\text{l}}=k_0$exp$(\frac{-E_0}{RT}){}_{\text{m}\text{e}\text{t}\text{h}\text{a}\text{n}\text{o}\text{l}}$

Where;

$K_0=1\mathrm{.}21{10}^6$kmo$\frac{l}{m}3$cat.$h.$ Kpa

$E_0=80\mathrm{.}48K\frac{J}{m}ol$

Other information:

Determine the volume of the Packed Bed Reactor and the required catalyst weight.

Note all assumptions and show calculations in details.