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Date of download: 12/31/2017 Copyright © ASME. All rights reserved.

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1 Date of download: 12/31/2017 Copyright © ASME. All rights reserved. From: Effect of Nonideal Solution Behavior on Desalination of a Sodium Chloride Solution and Comparison to Seawater J. Energy Resour. Technol. 2013;135(4): doi: / Figure Legend: Rational activity coefficient for NaCl in H2O evaluated using Debye-Hückel theory for electrolyte solutions and using experimental data. Dots are data from Ref. [18].

2 Date of download: 12/31/2017 Copyright © ASME. All rights reserved. From: Effect of Nonideal Solution Behavior on Desalination of a Sodium Chloride Solution and Comparison to Seawater J. Energy Resour. Technol. 2013;135(4): doi: / Figure Legend: H2O data for NaCl solution. Dots are data from Ref. [18]. Solid lines are curve fits.

3 Date of download: 12/31/2017 Copyright © ASME. All rights reserved. From: Effect of Nonideal Solution Behavior on Desalination of a Sodium Chloride Solution and Comparison to Seawater J. Energy Resour. Technol. 2013;135(4): doi: / Figure Legend: A control volume representation of a desalination system is used to derive the least work of separation

4 Date of download: 12/31/2017 Copyright © ASME. All rights reserved. From: Effect of Nonideal Solution Behavior on Desalination of a Sodium Chloride Solution and Comparison to Seawater J. Energy Resour. Technol. 2013;135(4): doi: / Figure Legend: Least work of separation for an NaCl solution (Eq. (46)) in which activity and fugacity coefficients are evaluated using data from Ref. [18]

5 Date of download: 12/31/2017 Copyright © ASME. All rights reserved. From: Effect of Nonideal Solution Behavior on Desalination of a Sodium Chloride Solution and Comparison to Seawater J. Energy Resour. Technol. 2013;135(4): doi: / Figure Legend: Ideal part of the least work of separation for an NaCl solution [Eq. (48)]

6 Date of download: 12/31/2017 Copyright © ASME. All rights reserved. From: Effect of Nonideal Solution Behavior on Desalination of a Sodium Chloride Solution and Comparison to Seawater J. Energy Resour. Technol. 2013;135(4): doi: / Figure Legend: The nonideal part of the least work of separation for an NaCl solution [Eq. (49)] only becomes significant at high feed salinities and high recovery ratios. Activity and fugacity coefficients are evaluated using data from Ref. [18].

7 Date of download: 12/31/2017 Copyright © ASME. All rights reserved. From: Effect of Nonideal Solution Behavior on Desalination of a Sodium Chloride Solution and Comparison to Seawater J. Energy Resour. Technol. 2013;135(4): doi: / Figure Legend: Relative error between the ideal solution and actual values of least work of separation is large when salinity is either very low or very high

8 Date of download: 12/31/2017 Copyright © ASME. All rights reserved. From: Effect of Nonideal Solution Behavior on Desalination of a Sodium Chloride Solution and Comparison to Seawater J. Energy Resour. Technol. 2013;135(4): doi: / Figure Legend: Relative error when only NaCl is approximated as ideal goes to zero when the activity coefficients of salt in the feed and brine are equal

9 Date of download: 12/31/2017 Copyright © ASME. All rights reserved. From: Effect of Nonideal Solution Behavior on Desalination of a Sodium Chloride Solution and Comparison to Seawater J. Energy Resour. Technol. 2013;135(4): doi: / Figure Legend: Relative error when only H2O is approximated as ideal goes to zero when the fugacity coefficients of all the streams cancel

10 Date of download: 12/31/2017 Copyright © ASME. All rights reserved. From: Effect of Nonideal Solution Behavior on Desalination of a Sodium Chloride Solution and Comparison to Seawater J. Energy Resour. Technol. 2013;135(4): doi: / Figure Legend: The Debye-Hückel limiting law introduces significant error for all but the lowest feed salinities

11 Date of download: 12/31/2017 Copyright © ASME. All rights reserved. From: Effect of Nonideal Solution Behavior on Desalination of a Sodium Chloride Solution and Comparison to Seawater J. Energy Resour. Technol. 2013;135(4): doi: / Figure Legend: The Güntelberg equation is accurate for low salinities, but even for seawater salinities, the relative error is at least 10%

12 Date of download: 12/31/2017 Copyright © ASME. All rights reserved. From: Effect of Nonideal Solution Behavior on Desalination of a Sodium Chloride Solution and Comparison to Seawater J. Energy Resour. Technol. 2013;135(4): doi: / Figure Legend: The Davies equation accurately evaluates the salt nonidealities and results in minimal error except at very high salinities

13 Date of download: 12/31/2017 Copyright © ASME. All rights reserved. From: Effect of Nonideal Solution Behavior on Desalination of a Sodium Chloride Solution and Comparison to Seawater J. Energy Resour. Technol. 2013;135(4): doi: / Figure Legend: The least work of separation for an NaCl solution is greater than the least work of separation for an aqueous solution with seawater composition


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