A continuous vacuum evaporating crystallizer of the DTB type is used to produce 2,000 lb/hr of Al2(SO4)3 .18 H2O (ρp=105 lb/ft3). The magma contains 0.15 ft3 crystals/ft3 magma and the magma residence time in the crystallizer is 2 h. The desired Lpd on a mass basis is 0.417 mm. Estimate: (a) required crystal growth rate in ft/h, (b) necessary nucleation rate in nuclei/h-ft3 of mother liquor, (c) number of crystals produced per hour, (d) tables and plots of estimated cumulative and differential screen analyses of the product crystals on a mass or volume basis. Also explain how the required growth and nucleation rates for the operating crystallizer might be achieved.

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
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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A continuous vacuum evaporating crystallizer of the DTB type is used to produce 2,000 lb/hr of Al2(SO4)3 .18 H2O (ρp=105 lb/ft3). The magma contains 0.15 ft3 crystals/ft3 magma and the magma residence time in the crystallizer is 2 h. The desired Lpd on a mass basis is 0.417 mm. Estimate: (a) required crystal growth rate in ft/h, (b) necessary nucleation rate in nuclei/h-ft3 of mother liquor, (c) number of crystals produced per hour, (d) tables and plots of estimated cumulative and differential screen analyses of the product crystals on a mass or volume basis. Also explain how the required growth and nucleation rates for the operating crystallizer might be achieved.

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