Salt can be made from seawater by solar evaporation. In the first stage of the process, all of the CaCO3 and CaSO4 are precipitated and then the solution is sent to a crystallization pond. In the crystallization pond, water is evaporated and crystalline NaCl is recovered. The pond outlets are a stream containing 91% of the inlet NaCl (pure NaCl crystals) and a stream of mother liquor (the remaining solution), which has an sg of 1.26.    The total salt content of the inlet sea water is 3.7 wt% with an sg of 1.03. The composition of the inlet sea water on a dry basis is 78 wt% NaCl, 11 wt% MgCl2, 4.5 wt% MgSO4, 3.5 wt% CaSO4, 2.5 wt% K2SO4, 0.3 wt% CaCO3 and 0.2 wt% MgBr2. Assume that the losses of NaCl, MgSO4, MgCl2, MgBr2, and K2SO4 are negligible. a) Calculate the water (ton/hr) evaporated for an inlet sea water flowrate of 1 ton/hr. b) Calculate the concentration (wt% total salt) of the mother liquor.

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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Salt can be made from seawater by solar evaporation. In the first stage of the process, all of the CaCO3 and CaSO4 are precipitated and then the solution is sent to a crystallization pond. In the crystallization pond, water is evaporated and crystalline NaCl is recovered. The pond outlets are a stream containing 91% of the inlet NaCl (pure NaCl crystals) and a stream of mother liquor (the remaining solution), which has an sg of 1.26. 

 

The total salt content of the inlet sea water is 3.7 wt% with an sg of 1.03. The composition of the inlet sea water on a dry basis is 78 wt% NaCl, 11 wt% MgCl2, 4.5 wt% MgSO4, 3.5 wt% CaSO4, 2.5 wt% K2SO4, 0.3 wt% CaCO3 and 0.2 wt% MgBr2. Assume that the losses of NaCl, MgSO4, MgCl2, MgBr2, and K2SO4 are negligible. a) Calculate the water (ton/hr) evaporated for an inlet sea water flowrate of 1 ton/hr. b) Calculate the concentration (wt% total salt) of the mother liquor. 

Expert Solution
Step 1

According to the question, the process can be shown by the following flow sheet

Chemical Engineering homework question answer, step 1, image 1

if we see both stages as a single unit

Chemical Engineering homework question answer, step 1, image 2

Let A,B,C,D be the mass flow rate of (CaCO3+CaSO4), NaCl, Water and mother liquor respectively

Step 2

 As shown in the Diagram, outle pure NaCl crystals contain 91% of the inlet NaCl 

NaCl in crystals, B=0.91×1×3.7100×78100=0.0263 ton

CaCO3+CaSO4 in precipitate, A = 1×3.7100×0.3+3.5100                                                          =1×3.7100×3.8100                                                          =0.0014 ton

water in sea water, C=1-3.7                                     =0.963 ton

water in inlet sea water = water evaporated

thus water evaporated = 0.963 ton

 

 

Step 3

By total material balance,

1 = A+B+C+D

D=1-(A+B+C)=1-(0.0014+0.0263+0.963)=0.0093 ton

weight of mother liquor = 0.0093 tonNaCl in the mother liquor= 9% of the inltet NaCl=1×3.7100×9100=0.0033 ton

 

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