15. Plate-and-frame filter-M. The following data were obtained for a plate-and-frame filter of total area A = 500 cm2 operating under a constant pressure drop of Ap = 0.1 atm:

The filtrate is essentially water. The volume of the cake is one-tenth the volume of the filtrate passed. The resistance of the filter medium may be neglected. Make an appropriate plot and estimate the permeability cake.K (darcies) of the At a certain time t after start-up, the filter is shut down. There follows a cleaning time te, in which the accumulated cake is removed, the cloth is cleaned,and the filter is reassembled. This cyclical pattern of productive operation,followed by cleaning, etc., is continued indefinitely. If te 30 min, what value of t will maximize the average volume of filtrate produced per unit time? What is the value (liter/min) of this maximum average volumetric flow rate of filtrate?