Q$1(100$ Points$)$

It is required to design an Isothermal Packed Bed Reactor $($PBR$)$ to handle a gas phase reaction $A+2B2D$ with a feed temperature of is $55C$ and pressure of $P$ atm. For safety reasons, feed contains inert gas. If the mole fractions of the feed streams are $20\%,50\%$ and $30\%$ for A$,$ B and Inert I respectively. The total volumetric feed rate is Volumetric flow rate $d\frac{m^3}{m}in.$ The properties of the gas are similar to those of air at this temperature and pressure.

Given: The reaction follows a reaction rate expression of $rA=2\mathrm{.}5C_A^{0\mathrm{.}5}{C}_B^1(($:kmo$\frac{l}{m^3}*min$