10 ton/h of saturated aqueous solution of BaCl2 at 100ºC is fed into a crystallizer that can be simulated by the perfect mix model (MSMPR). The magma leaves the crystallizer to 20ºC, with dihydrate crystals. The volume of mother liquor in the crystallizer is 2.0 m3. The crystal growth determined on a pilot scale was 4 x 10-7 m/s and it is expected that keep in the crystallizer in question. The solubility of BaCl2 is 35.7 Kg/100 Kg H2O (20ºC) and 58.3 Kg/100 Kg H2O (100ºC). The density of the crystals produced is 3.097 g/cm3 and the density of a saturated solution of BaCl2 at 20ºC is 1.29 g/cm3. Calculate: a) the predominant size based on the mass of crystals. (Resp. 1.3 mm) b) the size that accumulates 30% of the size distribution (L). (Resp 154 μm) c) the required nucleation rate in the crystallizer (in nuclei formed h-1 m-3). (Ans.?=º9.02 x 108 cores / h m3

Introduction to Chemical Engineering Thermodynamics
8th Edition
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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10 ton/h of saturated aqueous solution of BaCl2 at 100ºC is fed into a crystallizer that can be simulated by the perfect mix model (MSMPR). The magma leaves the crystallizer to 20ºC, with dihydrate crystals. The volume of mother liquor in the crystallizer is 2.0 m3. The crystal growth determined on a pilot scale was 4 x 10-7 m/s and it is expected that
keep in the crystallizer in question. The solubility of BaCl2 is 35.7 Kg/100 Kg H2O (20ºC) and 58.3 Kg/100 Kg H2O (100ºC). The density of the crystals produced is 3.097 g/cm3 and the density of a saturated solution of BaCl2 at 20ºC is 1.29 g/cm3. Calculate:

a) the predominant size based on the mass of crystals. (Resp. 1.3 mm)
b) the size that accumulates 30% of the size distribution (L). (Resp 154 μm)
c) the required nucleation rate in the crystallizer (in nuclei formed h-1 m-3). (Ans.?=º9.02 x 108 cores / h m

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