A suspension of yeast cells is to be filtered at a constant filtration rate of $\frac{V}{t}=50\frac{L}{m}in.$ The

suspension has a solid content of $c=70k\frac{g}{m}3$ of suspension and the yeast cells have a density of

$800k\frac{g}{m}3.$ The specific cake resistance is $=40\frac{m}{k}g$ and the viscosity of the filtrate is $=2\mathrm{.}9x$

$10-3k\frac{g}{m}s.$ The filter has an area of $A=0\mathrm{.}1m2$ and the medium offers negligible resistance

$=0).$

a$.$ At what time during the filtration does the pressure drop $(P)$ equal $1\frac{N}{m}2?$ Note that $1N$

$=1kg-\frac{m}{sec\frac{2}{?}}.$

b$.$ What volume of filtrate and what volume of cake are collected during this time? You may

assume that the cake has the same density as the yeast cells.