A 20 wt.% solids feed slurry is filtered in a drum filter of diameter 1.00 m and width 0.95 m which operates with 30 % of its active surface submerged in the slurry at any one time. The vacuum pump lowers to pressure inside to P = 70 kPa below atmospheric pressure. The solids have a skeletal density of 2000 kg/m3 and form an incompressible cake with porosity = 0.40 and specific cake resistance a = 1.667109 m/kg. The filtrate is water at 20 C. You may assume that the cake leaves the drum surface saturated with filtrate. Assuming negligible filter cloth resistance: a) Calculate (i) the rate of production of filtrate and (ii) the thickness of the cake formed if the drum takes 2 min to perform one rotation. b) If the thinnest cake that can be removed from the drum is 5 mm thick, then what are (i) the maximum rotation speed that can be used and (ii) the maximum rate of filtration possible, for the given available pressure drop. You are now told that the filter cloth resistance is equivalent to an L = 1 mm thick layer of cake. c) Use the fundamental definitions of and Rc given in the lecture notes to find the filter cloth resistance expressed as Rc with units (m1). d) Repeat part a), this time including the filter cloth resistance. Comment on the difference. e) Repeat part b), taking into account the filter cloth resistance. Comment on the difference. Carry at least three (3) significant figures in all of your calculations.