The catalyst pellets with a diameter of of $0\mathrm{.}5cm$ will be fluidized in a column with $50000$

$k\frac{g}{h}r$ of air at $1\mathrm{.}2$atm abs and $100C.$ The specific gravity of the catalyst particles is $1\mathrm{.}05$ and

${}_s=0\mathrm{.}6.$ What would be the column height if the amount of air supplied is just sufficient to

fluidize the solids? If the volume of the column is $171m^3,$ find the column diameter and outlet

pressure at minimum fluidizing conditions. Assume that the pressure change in the column does

not significantly change the density of air. The column worked in isothermal conditions. Take

$M_{ar}=29k\frac{g}{k}$gmol,$lo{n}_{mf}=0\mathrm{.}45,=2\mathrm{.}15{10}^{-5}k\frac{g}{m}s$