Question $1($make use of the Ergun Equation$)$

A packed bed is composed of catalyst particles in the form of cylinders having a diameter of $0\mathrm{.}02m$ and length equal to the diameter. The density of the catalyst is $1600k\frac{g}{m^3}$ and the porosity is $0\mathrm{.}399$

a$)$ Calculate the sphericity of the catalyst particles

b$)$ Calculate the effective diameter of the catalyst particles $)=(d_{sph}$

c$)$ If the gas flow rate through the catalyst bed is $0\mathrm{.}70k\frac{g}{m^2}s,$ calculate the pressure drop across the bed assuming that the gas enters at atmospheric pressure

Viscosity of the gas $=0\mathrm{.}04N\frac{s}{m^2}$

Average temperature of the gas $650K$

The composition of the fluid is given in Table $1$

$\backslash$table$[[$Component$,$mol $\%,$MM$],[$Inlet$,$Outlet,$\frac{g}{m}ol$