Question $3$: A rotary drum filter with $30$ percent

submergence is to be used to filter an aqueous slurry of

$CaC{O}_3$ containing $230kg$ of solids per cubic meter of

$.$ water $(c_s).$ The pressure drop is to be $0\mathrm{.}45$ bar

Liquid density ${}_L=1000kg{m}^{-3},$ liquid viscosity ${}_L=$

$\mathrm{.}0\mathrm{.}001kg{m}^{-1}{s}^{-1}$ and solid density ${}_s=2700k\frac{g}{m^3}$

The specific cake resistance $=1\mathrm{.}1**{10}^{11}\frac{m}{k}g$ and

$.$medium resistance $R_M=6\mathrm{.}0**{10}^9{m}^{-1}$

Calculate the filter area required to filter $40lt\frac{r}{m}in$ of

$.$slurry when the filter cycle time is $5$min