A company is building a new filtration process to recover an active ingredient. The active ingredient precipitate, giving a mixture with

ho =940k(g)/(m^(3))

and

\mu =0.002k(g)/(m)

- s. The precipitated product particles are 0.02 mm diameter and are

1.4%

of the total reaction volume. After precipitation, the company will recover the active ingredient through filtration. Using a constant pressure pump that delivers 220 kPa , the filter must be able to handle the entire batch volume

(8m^(3))

and finish the filtration in 30 minutes so that it is ready for the next batch. Assuming a cake porosity of

\epsi =0.42

, determine the area (in

m^(2)

) of the filter that should be used to finish the filtration within the allotted time. (10 pts)