An aqueous slurry of $CaC{O}_3$ is to be filtered in a rotary

drum filter with $28\%$ submergence of area is

covered by slurry$).$ The available pressure drop is $68$kPa

and the cycle time is $5$ minutes. The slurry contains $235kg$

solids per cubic meters of slurry and density of solids is

$2700k\frac{g}{m^3}.$ The filter cake contains $50\%$ moisture on wet

basis and the specific cake resistance is $1\mathrm{.}23{10}^{11}\frac{m}{k}g.$

Calculate the filter area required to filter $381$ litres$/$minute$.$

The resistance of the filter medium maybe neglected.

Take ${}_{\text{s}\text{l}\text{u}\text{r}\text{y}}=0\mathrm{.}001k\frac{g}{m}s$