$6\mathrm{.}8$ A laboratory leaf filter has an area of $0\mathrm{.}1m^2,$ operates at a constant pressure

drop of $400$kPa and produces the following results during a test on filtration of a

slurry:

$($a$)$ Calculate the time required to collect $1\mathrm{.}5m^3$ of filtrate during filtration of the same

slurry at a constant pressure drop of $300$kPa on a similar full$-$scale filter with an area

of $2m^2.$

$($b$)$ Calculate the rate of passage of filtrate at the end of the filtration in $($a$).$

$($c$)$ Calculate the time required to wash the resulting filter cake with $0\mathrm{.}5m^3$ of water at a

constant pressure drop of $200$kPa.