A fermentation broth containing microbial cells is filtered through a vacuum filter. The broth is fed to the filter at a rate of 100 kg/h, which contains 4% (w/w) cell solids. In order to increase the performance of the process, filter aids are introduced at a rate of 12 kg/h. The concentration of vitamin in the broth is 0.09% by weight. Liquid filtrate is collected at a rate of 94 kg/h; the concentration of vitamin in the filtrate is 0.042% (w/w). Filter cake containing cells and filter aid is removed continuously from the filter cloth. (a) What percentage water is the filter cake? (b) If the concentration of vitamin dissolved in the liquid within the filter cake is the same as that in the filtrate, how much vitamin is absorbed per kg filter aid?
A fermentation broth containing microbial cells is filtered through a vacuum filter. The broth is fed to the filter at a rate of 100 kg/h, which contains 4% (w/w) cell solids. In order to increase the performance of the process, filter aids are introduced at a rate of 12 kg/h. The concentration of vitamin in the broth is 0.09% by weight. Liquid filtrate is collected at a rate of 94 kg/h; the concentration of vitamin in the filtrate is 0.042% (w/w). Filter cake containing cells and filter aid is removed continuously from the filter cloth.
(a) What percentage water is the filter cake?
(b) If the concentration of vitamin dissolved in the liquid within the filter cake is the same as that in the filtrate, how much vitamin is absorbed per kg filter aid?
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