Trisodium phosphate is to be recovered as Na3PO4·12H2O from a 35 weight percent  solution originally at 90 °C by cooling ans seeding in a Swenson-Walker crystallizer. From  10,000 kg/h of feed, 3,500 kg/h of product crystals in addition to the seed crystals are to be  obtained. Seed crystals fed at a rate of 250 kg/h have the following size range: Size Range (mm) Mass Fraction - 0.500 + 0.250         0.10 - 0.250 + 0.130         0.20 - 0.130 + 0.065        0.40 - 0.065 + 0.025        0.30 Latent heat of crystallization for trisodium phosphate is 64.0 x 106 J/kg-mole. Specific heat  for the trisodium phosphate solution may be taken as 3,350 J/kg-K. a. Estimate the product particle size distribution. b. To what temperature must the solution be cooled, and what will be the cooling duty  in Watts?

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Trisodium phosphate is to be recovered as Na3PO4·12H2O from a 35 weight percent 
solution originally at 90 °C by cooling ans seeding in a Swenson-Walker crystallizer. From 
10,000 kg/h of feed, 3,500 kg/h of product crystals in addition to the seed crystals are to be 
obtained. Seed crystals fed at a rate of 250 kg/h have the following size range:
Size Range (mm) Mass Fraction
- 0.500 + 0.250         0.10
- 0.250 + 0.130         0.20
- 0.130 + 0.065        0.40
- 0.065 + 0.025        0.30
Latent heat of crystallization for trisodium phosphate is 64.0 x 106 J/kg-mole. Specific heat 
for the trisodium phosphate solution may be taken as 3,350 J/kg-K.
a. Estimate the product particle size distribution.
b. To what temperature must the solution be cooled, and what will be the cooling duty 
in Watts?

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