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Worked solution to Question 5, Chapter 4 (available as free download at https://www.particles.org.uk/particle...) in Fundamentals of Particle Technology. The question asks the reader to determine the specific cake resistance to filtration, and the filter medium resistance, from a small amount of data obtained on a pilot scale filter, operating at constant pressure. Having obtained these values, the problem then asks for the expected filtrate volume when using a much larger filter area and filtering for two hours, i.e. a filter design type of question. It is assumed that all the filter cake and feed slurry properties remain the same (as may be expected from a pilot scale test). Finally, the cake thickness is predicted. This is a very important check that sufficient cake will be produced to enable cake discharge, as well as ensuring that the cake depth is not too great for an enclosed region such as occurs within the chambers of a pressure filter. Both the pilot scale and the predicted industrial scale filter are operating at constant pressure and the filter cake is assumed to be incompressible.