A rotary drum filter with 30% submergence is used to filter concentrated aqueous slurry of calcium carbonate containing 15lb of solids per cubic foot of water. The pressure–drop is 2011Hg. If the filter cake contains 50% mixture (wet basis), calculate the filter area required to filter 10 gal/min of slurry. The filter cycle time is 5 min. The specific cake resistance depends on the pressure–drop as:α (ft/lb) = α (Δp)0.26, where α = 2.90×1010Viscosity of the filtrate = 6.72×10-4 lb/ft-s. Density of calcium carbonate = 168.8 lb/ft3. Neglect filter medium resistance.

• A. ≅ 88 ft2
• B. = α (Δp)0.26, where α = 2.90×1010Viscosity of the filtrate = 6.72×10-4 lb/ft-s. Density of calcium carbonate = 168.8 lb/ft3. Neglect filter medium resistance.a) ≅ 88 ft2b) ≅ 86 ft2
• C. ≅ 82 ft2
• D. ≅ 90 ft2