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A suspension of yeast cells is to be filtered at a constant filtration rate of 50 L/min. The suspension has a solid content of 70 kg/m3 of suspension and the yeast cells have a bulk density of 800 kg/m3. Laboratory tests indicate that the specific cake resistance is 40 m/kg and the viscosity of the filtrate is 2.9x10-3 kg/m.s. The filter has an area of 0.1 m2 and the medium offers negligible resistance. How long can the filtration rate be maintained before the pressure drop exceeds 1 N/m2? What volume of cake and filtrate are collected during this time? Note that ρ0 is expressed in mass of solids per volume of filtrate and NOT total volume of suspension.
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