A rotary filter with a total filtering area of 8 ft2 has been found to deliver 10 ft3 of filtrate per minute when operating at the following conditions:

Fraction of filtering area submerged in the slurry = 0.2 r/min = 2

Pressure drop = 20 psi

Another rotary filter is to be designed to handle the same slurry mixture. This unit will deliver 100 ft3 of filtrate per minute and will operate at a pressure drop of 15 psi and a revolving speed of 1.5r/min. If the fraction of filtering area submerged in the slurry is 0.2, estimate the total filtering area required for the new unit. In both cases, it may be assumed that no solids pass through the filter cloth, the cake is non-compressible, and the resistance of the filtering medium is negligible.