Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Thermodynamic modeling of aqueous polyelectrolyte solutions with mixed-valent counterions

Journal Article · · Journal of Chemical Thermodynamics
 [1];  [2]
  1. Texas Tech University, Lubbock, TX (United States); OSTI
  2. Texas Tech University, Lubbock, TX (United States)
Thermodynamic modeling of aqueous polyelectrolyte solutions with salts is of significant interest for many industrial applications. Here this study applies the polyelectrolyte Nonrandom Two-liquid activity coefficient model to aqueous polyelectrolyte solutions with mixed-valent counterions. A modified Delocalized Binding Theory was proposed to determine the polyion condensation fractions of the mixed counterions. This modified theory accounts for the electrostatic binding of the counterions on the polyion, the dissociation entropy of the counterions, and the electrostatic interactions between the uncondensed ionic species. Given the polyion condensation fractions, the critical value of Manning’s parameter ξ and the amounts of uncondensed polyions and counterions can be calculated along with the activity coefficients of mobile ions. The model successfully correlates experimental data for various aqueous polyelectrolyte systems with mixed-valent counterions.
Research Organization:
American Institute of Chemical Engineers (AIChE), New York, NY (United States); Texas Tech University, Lubbock, TX (United States)
Sponsoring Organization:
J.F Maddox Foundation.; USDOE Office of Energy Efficiency and Renewable Energy (EERE)
Grant/Contract Number:
EE0007888
OSTI ID:
1977291
Journal Information:
Journal of Chemical Thermodynamics, Journal Name: Journal of Chemical Thermodynamics Journal Issue: C Vol. 169; ISSN 0021-9614
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (21)

Thermodynamic representation of phase equilibria of mixed-solvent electrolyte systems journal October 1986
The electrostatic free energy of polyelectrolyte solutions. II. Fully stretched macromolecules journal February 1954
A simple theory of thermodynamic properties of polyelectrolyte solutions journal January 1957
Activity coefficients of small ions in aqueous mixtures of polyelectrolytes and simple electrolytes journal August 1976
The binding of divalent metal ions to polyelectrolytes in mixed counterion systems journal February 1981
The binding of divalent metal ions to polyelectrolytes in mixed counterion systems journal February 1981
A new model of counterion condensation in polyelectrolyte solutions journal September 1988
Limiting-laws of polyelectrolyte solutions. Ionic distribution in mixed-valency counterions systems. II. A comparison of conductometric data and theoretical predictions journal April 1992
Thermodynamic representation of the NaCl+Na2SO4+H2O system with electrolyte NRTL model journal July 2011
Thermodynamic modeling of aqueous Ca 2+ – Na + – K + – Cl − quaternary system journal February 2016
Thermodynamic model of aqueous Mg2+ – Na+ – K+ – Cl− quaternary system journal April 2017
Nonrandom two-liquid activity coefficient model for aqueous polyelectrolyte solutions journal October 2019
Mobile ion partitioning in ion exchange membranes immersed in saline solutions journal February 2021
Modeling aqueous multivalent polyelectrolytes systems with polyelectrolyte NRTL model journal August 2021
The molecular theory of polyelectrolyte solutions with applications to the electrostatic properties of polynucleotides journal May 1978
Symmetric Electrolyte Nonrandom Two-Liquid Activity Coefficient Model journal August 2009
Thermodynamics of electrolytes. II. Activity and osmotic coefficients for strong electrolytes with one or both ions univalent journal September 1973
Electrolytes. From dilute solutions to fused salts journal April 1980
Limiting Laws and Counterion Condensation in Polyelectrolyte Solutions I. Colligative Properties journal August 1969
Cluster Theory of Polyelectrolyte Solutions. I. Activity Coefficients of the Mobile Ions journal December 1965
Studies of Polyelectrolyte Solutions I. Counterion Condensation by Poly(styrene sulfonate) journal November 1991

Similar Records

Counterion condensation to cationic polyelectrolytes in methanol/water mixtures
Conference · Sat Dec 30 23:00:00 EST 1995 · OSTI ID:182228

Molecular thermodynamics for protein precipitation with a polyelectrolyte
Journal Article · Thu Jul 01 00:00:00 EDT 1999 · Journal of Physical Chemistry B: Materials, Surfaces, Interfaces, amp Biophysical · OSTI ID:682085

The Poisson-Boltzmann equation for aqueous solutions of stong polyelectrolytes without added salt: The cell model revisited
Journal Article · Thu May 14 00:00:00 EDT 1992 · Journal of Physical Chemistry · OSTI ID:411965