A filtration process is carried out at a constant flow rate. Then it continues under the conditions of constant pressure difference of $500$ N$/$m$2.$ It is known that $1\mathrm{.}6$ m$3$ of filtrate is obtained in $300$ seconds at a constant flow rate. Determine the voidage of the bed $(\backslash$epsi $)$ if the obtained final filtrate volume is $6$ m$3$ after $1200$ seconds of total time for the whole process. Assume that the solid particles filtered in the filter cake

consist of homogeneous spheres and their radii is $2$ cm$.$

Additional Info:

A$=1\mathrm{.}2$ m$2$

l$=18$ cm

$=1$ g$/$cm$.$s$=0\mathrm{.}1$ Pa$.$s please use filtration equations