200 kg/h of ground roasted coffee, which contains 8% soluble solids, 2% water, and 90% inert insoluble solids. In order to obtain an extract with high soluble solids content without having to concentrate it for spray drying, a countercurrent extraction process is to be used to prepare the extract. It is desired that the final extract contain 0.15 kg soluble/ kg water and that the soluble of the spent coffee grounds does not exceed 0.008 kg/kg dry inert solids. The coffee grounds carry 1.3 kg water/kg of soluble-free inert solids and this quantity is constant with the solute concentration in the extract. Determine the mass flow rate of solvent needed in kg per hour.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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200 kg/h of ground roasted coffee, which contains 8% soluble solids, 2% water, and 90% inert insoluble solids. In order to obtain an extract with high soluble solids content without having to concentrate it for spray drying, a countercurrent extraction process is to be used to prepare the extract. It is desired that the final extract contain 0.15 kg soluble/ kg water and that the soluble of the spent coffee grounds does not exceed 0.008 kg/kg dry inert solids. The coffee grounds carry 1.3 kg water/kg of soluble-free inert solids and this quantity is constant with the solute concentration in the extract. Determine the mass flow rate of solvent needed in kg per hour.

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