Abstract
The parabolic-like plots of compressibility versus concentration of nonelectrolytes (ethanol as the example) in water are explained and described assuming the hydrate formation equilibrium reaction. Only two fitted parameters, the hydration number n h and the cumulative formation constant of the hydrate \({\beta_{n_{\rm h}}}\), are used to reproduce the experimental data, including the minima of the adiabatic compressibility \({\kappa_{S}}\) versus composition at low solute contents. Another discussed option is a set of subsequent equilibrium reactions of hydration from which formation constants can also be determined. Calculations were performed for the water–ethanol system, and the results were compared with those obtained by a model recently developed by the authors.
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Abbreviations
- d :
-
Density
- K i :
-
Hydrate (stepwise) formation constants of the ith equilibrium hydration reaction
- n h :
-
Hydration number
- n i :
-
Number of moles of species i
- R 2 :
-
Correlation coefficient
- u :
-
Speed of sound
- x :
-
Mole fraction of the solute
- α 0, α i :
-
Mole fraction of nonhydrated solute and of the hydrated solute with the hydration number i, respectively
- β i :
-
Cumulative formation constant of the hydrate formation with the hydration (coordination) number i
- \({\kappa_{S}}\) :
-
Adiabatic compressibility coefficient of solution
- \({\kappa_{S,i}}\) :
-
Adiabatic compressibility coefficient of pure component i
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Gliński, J., Burakowski, A. New Interpretation of the Concentration Dependence of the Compressibility of Aqueous Solutions of Nonelectrolytes. Int J Thermophys 32, 786–794 (2011). https://doi.org/10.1007/s10765-010-0758-0
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DOI: https://doi.org/10.1007/s10765-010-0758-0