$2.$ You work as an engineer in the reactor section of a production facility. The first$-$order catalytic A$->$B gas phase reaction is carried out in the reactor. The reaction is carried out at $336$ oC$.$ You are asked to request an increase in the conversion from the booking section. What is the most effective parameter to increase the reaction rate $($increasing the gas flow rate, reducing the grain size and increasing the temperature$)?$ Show it by making the necessary calculations. Is the temperature uniform within the particle and between the fluid solid? Calculate. Determine the operating pressure yourself using data Catalyst diameter: $5$ mm De $=138$ m$3/$s$$m $($Effective diffusion coefficient$)$

ke $=0\mathrm{.}44$ J

s$.$ mkat $$ K $($Effective thermal conductivity$)$

for gas

h $=45$ J

s$$m$2$K$,$ heat transfer coefficient

kg $=0\mathrm{.}085$ m$3$

s$$m$2$kat, mass transfer coefficient

DAB $=0\mathrm{.}7$x$10-4$ m$2/$s at $298$ K$,$ kinematic viscosity at $336$ oC: $4\mathrm{.}5$x$10-4$ m$2/$s$,$ gas speed: $1\mathrm{.}0$ m$/$s

for reaction

$$Hr $=160$ kJ$/$molA$,$ reaction enthalpy

Apparent reaction rate relative to catalyst volume:

$$rA $=28$ mol$/$s$.$m$3$kat