A 0.45m depth filter is used to perform the initial filtration of culture from a 5000 L reactor

operated in batch mode. At the end of production, the cell density is 2.5E10/mL and the

glucose concentration is 0.2 g/L. If the depth filter capacity is 800 kg solids, how much

volume can be processed through the filter before it clogs?

Note: Assume the cells have a dry weight of 70 pg/cell (pg = pigogram, 1E-12 grams)