You must filter 1000 lbm/min of an aqueous slurry containing 40% solids by weight by using a rotary drum filter, diameter 4 m and length 4 m, that operates at a vacuum of 25in.Hg with 30% of its surface submerged in the slurry. A lab test is run on a sample of the slurry using 200 cm2 of the same filter medium and a vacuum of 25in.Hg. During the first minute of operation, 300 cm3 of filtrate is collected, and during the second minute an additional 140 cm3 is collected.
(a) How fast should the drum be rotated?
(b) If the drum is rotated at 2 rpm, what would the filter capacity be in pounds of slurry filtered per minute?
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