Q$6)$ An experimental filter press having an area of $0\mathrm{.}0414m^2$ is used to filter an aqueous BaC$03$ slurry at a constant pressure of $267$kPa. The filtration equation obtained was

$\frac{t}{V}=10\mathrm{.}25{10}^{6}V+3\mathrm{.}4{10}^3$

Where: $t$ in sec$,$ and $V$ in $m^3$

$($a$)$ If the same slurry and conditions are used in a leaf press having an area of $6\mathrm{.}97m^2,$ how long will it take to obtain $1\mathrm{.}00m^3$ of filtrate?

$($b$)$ After the filtration the cake is to be washed with $0\mathrm{.}100m^3$ of water. Calculate the time of washing.

$($I want the solution step by step and clearly please$)$