Q$5)$

$[20$

Marks$]$

A filter funnel $0\mathrm{.}08m$ in diameter is available for testing the filtration of a cell culture suspension. The data in Table Q$5$ were obtained with a constant pressure drop of $8{10}^3\frac{N}{m^2}.$ If the solid loading is $50k\frac{g}{m^3}$ and filtrate viscosity is $0\mathrm{.}001$ Pa$.$ s$,$ calculate the resistances $$ and $.$

Table Q$5$

$\backslash$table$[[$Time $($s$),26,96,197,342,537,692,989],[\backslash$table$[[$Volume of filtrate$],[(m^3)$