You are designing a PBR to carry out the first order gas phase reaction $AB.$ The

reactor will be operated isothermally, with an inlet volumetric flowrate of $10\frac{m^3}{m}in.$

The inlet pressure is $10$atm. Use a rate constant of $1\mathrm{.}2m^{3}mi{n}^{-1}{g}_{\text{c}\text{a}\text{t}}^{-1}$

a$.$ For each of the following scenarios, calculate the weight of the catalyst that you

need to reach $90\%$ conversion, and then calculate the exiting pressure.

i$.$ Pressure Drop is negligible

ii$.=0\mathrm{.}01g^{-1}$

iii. $=0\mathrm{.}02g^{-1}$

How does changing the value of alpha affect the weight needed to achieve the

desired conversion? How does it affect the amount of pressure lost?

b$.$ If the reactor consists of $25$ grams, calculate the conversion if the value of alpha

is: neglected, $0\mathrm{.}02g^{-1},$ and $0\mathrm{.}04g^{-1}.($Report each conversion$)$

How does changing alpha affect conversion?

c$.$ Based on the observed trends above, how should you change the value of alpha to

lower the cost of the reactor? Name two things you can do to change alpha.