Hydrocarbon vapors are cracked in a catalytic reactor which consists of a

randomly packed bed of pellets shaped as cubes with side length of $0\mathrm{.}5cm.$ The catalyst

material has a density of $1600k\frac{g}{m^3},$ and the bulk density of the actual packed bed is

$960k\frac{g}{m^3}.$ The reactor is a cylinder with a cross$-$sectional area of $0\mathrm{.}1m^2,$ and a length

of $2m.$ Determine the pressure drop of the vapor as it passes through the bed with a

superficial velocity of $1\frac{m}{s}.$ Use the same information to determine the minimum

fluidization velocity of the particles.

The vapor density is $0\mathrm{.}642k\frac{g}{m^3},$ and the viscosity is $1\mathrm{.}5{10}^{-5}Pa-s.$