$24\mathrm{.}2-9.$ Throughput in a Continuous Rotary$-$Drum Filter. A rotary$-$drum filter having an area of $2\mathrm{.}20m^2$ is to be used to filter the $CaC{O}_3$ slurry given in Example $24\mathrm{.}2-4.$ The drum has a $28\%$ submergence and the filter$-$cycle time is $300s.$ A pressure drop of $62\mathrm{.}0k\frac{N}{m^2}$ is to be used. Calculate the slurry feed rate in kg slurry$/$s for the following cases:

a$.$ Neglect the filter$-$medium resistance.