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Wu W, Klein T, Kerscher M, Rausch MH, Koller TM, Giraudet C, Fröba AP. Diffusivities in 1-Alcohols Containing Dissolved H 2, He, N 2, CO, or CO 2 Close to Infinite Dilution. J Phys Chem B 2019; 123:8777-8790. [PMID: 31536354 DOI: 10.1021/acs.jpcb.9b06211] [Citation(s) in RCA: 22] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The influence of the strength of intermolecular interactions on mass diffusive processes remains poorly understood for mixtures of associative liquids with dissolved gases. For contributing to a fundamental understanding of the interplay between liquid structures and mass diffusivities in such systems, dynamic light scattering, Raman spectroscopy, and molecular dynamics simulations were used in this work. As model systems, binary mixtures consisting of the gases hydrogen, helium, nitrogen, carbon monoxide, or carbon dioxide dissolved in ethanol, 1-hexanol, or 1-decanol were selected. Experiments and simulations were performed at macroscopic thermodynamic equilibrium close to infinite dilution of solute for temperatures between 303 and 423 K. The Fick diffusion coefficients and self-diffusivities of the gas solutes increase with increasing temperature, decreasing alkyl chain length of the 1-alcohols, and decreasing molar mass of the solutes except for helium and hydrogen showing the opposite behavior. The analysis of the liquid structure of the mixtures showed that the fraction of hydrogen-bonded alcohol molecules decreases with increasing alkyl chain length and temperature. From the obtained structure-property relationships, a new correlation was developed to predict mass diffusivities in binary mixtures consisting of n-alkanes or 1-alcohols with dissolved gases close to infinite dilution within 10% on average.
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Affiliation(s)
- Wenchang Wu
- Institute of Advanced Optical Technologies-Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT) , Friedrich-Alexander-University Erlangen-Nürnberg (FAU) , Paul-Gordan-Straße 8 , 91052 Erlangen , Germany
| | - Tobias Klein
- Institute of Advanced Optical Technologies-Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT) , Friedrich-Alexander-University Erlangen-Nürnberg (FAU) , Paul-Gordan-Straße 8 , 91052 Erlangen , Germany
| | - Manuel Kerscher
- Institute of Advanced Optical Technologies-Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT) , Friedrich-Alexander-University Erlangen-Nürnberg (FAU) , Paul-Gordan-Straße 8 , 91052 Erlangen , Germany
| | - Michael H Rausch
- Institute of Advanced Optical Technologies-Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT) , Friedrich-Alexander-University Erlangen-Nürnberg (FAU) , Paul-Gordan-Straße 8 , 91052 Erlangen , Germany
| | - Thomas M Koller
- Institute of Advanced Optical Technologies-Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT) , Friedrich-Alexander-University Erlangen-Nürnberg (FAU) , Paul-Gordan-Straße 8 , 91052 Erlangen , Germany
| | - Cédric Giraudet
- Institute of Advanced Optical Technologies-Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT) , Friedrich-Alexander-University Erlangen-Nürnberg (FAU) , Paul-Gordan-Straße 8 , 91052 Erlangen , Germany
| | - Andreas P Fröba
- Institute of Advanced Optical Technologies-Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT) , Friedrich-Alexander-University Erlangen-Nürnberg (FAU) , Paul-Gordan-Straße 8 , 91052 Erlangen , Germany
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Guevara-Carrion G, Ancherbak S, Mialdun A, Vrabec J, Shevtsova V. Diffusion of methane in supercritical carbon dioxide across the Widom line. Sci Rep 2019; 9:8466. [PMID: 31186475 PMCID: PMC6560060 DOI: 10.1038/s41598-019-44687-1] [Citation(s) in RCA: 17] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/15/2019] [Accepted: 05/22/2019] [Indexed: 11/16/2022] Open
Abstract
Diffusion of methane diluted in supercritical carbon dioxide is studied by experiment and molecular simulation in the temperature range from 292.55 to 332.85 K along the isobars 9.0, 12.5 and 14.7 MPa. Measurements of the Fick diffusion coefficient are carried out with the Taylor dispersion technique. Molecular dynamics simulation and the Green-Kubo formalism are employed to obtain Fick, Maxwell-Stefan and intradiffusion coefficients as well as shear viscosity. The obtained diffusion coefficients are on the order of 10-8 m2/s. The composition, temperature and density dependence of diffusion is analyzed. The Fick diffusion coefficient of methane in carbon dioxide shows an anomaly in the near-critical region. This behavior can be attributed to the crossing of the so-called Widom line, where the supercritical fluid goes through a transition between liquid-like and gas-like states. Further, several classical equations are tested on their ability to predict this behavior and it is found that equations that explicitly include the density are better suited to predict the sharp variation of the diffusion coefficient near the critical region predicted by molecular simulation.
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Affiliation(s)
- Gabriela Guevara-Carrion
- Thermodynamics and Process Engineering, Technical University of Berlin, Ernst-Reuter-Platz 1, 10587, Berlin, Germany
| | - Sergiy Ancherbak
- MRC, CP165/62, Université Libre de Bruxelles, Av. F. D. Roosevelt, 50, B-1050, Brussels, Belgium
| | - Aliaksandr Mialdun
- MRC, CP165/62, Université Libre de Bruxelles, Av. F. D. Roosevelt, 50, B-1050, Brussels, Belgium
| | - Jadran Vrabec
- Thermodynamics and Process Engineering, Technical University of Berlin, Ernst-Reuter-Platz 1, 10587, Berlin, Germany.
| | - Valentina Shevtsova
- MRC, CP165/62, Université Libre de Bruxelles, Av. F. D. Roosevelt, 50, B-1050, Brussels, Belgium
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Kozlova S, Mialdun A, Ryzhkov I, Janzen T, Vrabec J, Shevtsova V. Do ternary liquid mixtures exhibit negative main Fick diffusion coefficients? Phys Chem Chem Phys 2019; 21:2140-2152. [DOI: 10.1039/c8cp06795c] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023]
Abstract
Measured main Fick diffusion coefficients are throughout positive. However, they may appear to be negative after transformation to the molar reference frame, if the excess volume is significant and the experimental uncertainties of the cross diffusion coefficients are large.
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Affiliation(s)
- S. Kozlova
- Institute of Computational Modelling SB RAS
- Krasnoyarsk
- Russia
| | - A. Mialdun
- Microgravity Research Center
- Université Libre de Bruxelles (ULB)
- 50, B-1050 Brussels
- Belgium
| | - I. Ryzhkov
- Institute of Computational Modelling SB RAS
- Krasnoyarsk
- Russia
- Siberian Federal University
- Krasnoyarsk
| | - T. Janzen
- Thermodynamics and Process Engineering
- Technical University Berlin
- 10587 Berlin
- Germany
| | - J. Vrabec
- Thermodynamics and Process Engineering
- Technical University Berlin
- 10587 Berlin
- Germany
| | - V. Shevtsova
- Microgravity Research Center
- Université Libre de Bruxelles (ULB)
- 50, B-1050 Brussels
- Belgium
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Janzen T, Vrabec J. Diffusion Coefficients of a Highly Nonideal Ternary Liquid Mixture: Cyclohexane–Toluene–Methanol. Ind Eng Chem Res 2018. [DOI: 10.1021/acs.iecr.8b04385] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Tatjana Janzen
- Thermodynamics and Process Engineering, Technical University Berlin, 10587 Berlin, Germany
| | - Jadran Vrabec
- Thermodynamics and Process Engineering, Technical University Berlin, 10587 Berlin, Germany
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Guevara-Carrion G, Gaponenko Y, Mialdun A, Janzen T, Shevtsova V, Vrabec J. Interplay of structure and diffusion in ternary liquid mixtures of benzene + acetone + varying alcohols. J Chem Phys 2018; 149:064504. [PMID: 30111131 DOI: 10.1063/1.5044431] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023] Open
Abstract
The Fick diffusion coefficient matrix of ternary mixtures containing benzene + acetone + three different alcohols, i.e., methanol, ethanol, and 2-propanol, is studied by molecular dynamics simulation and Taylor dispersion experiments. Aiming to identify common features of these mixtures, it is found that one of the main diffusion coefficients and the smaller eigenvalue do not depend on the type of alcohol along the studied composition path. Two mechanisms that are responsible for this invariant behavior are discussed in detail, i.e., the interplay between kinetic and thermodynamic contributions to Fick diffusion coefficients and the presence of microscopic heterogeneities caused by hydrogen bonding. Experimental work alone cannot explain these mechanisms, while present simulations on the molecular level indicate structural changes and uniform intermolecular interactions between benzene and acetone molecules in the three ternary mixtures. The main diffusion coefficients of these ternary mixtures exhibit similarities with their binary subsystems. Analyses of radial distribution functions and hydrogen bonding statistics quantitatively evidence alcohol self-association and cluster formation, as well as component segregation. Furthermore, the excess volume of the mixtures is analyzed in the light of intermolecular interactions, further demonstrating the benefits of the simultaneous use of experiment and simulation. The proposed framework for studying diffusion coefficients of a set of ternary mixtures, where only one component varies, opens the way for further investigations and a better understanding of multicomponent diffusion. The presented numerical results may also give an impulse to the development of predictive approaches for multicomponent diffusion.
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Affiliation(s)
- Gabriela Guevara-Carrion
- Thermodynamics and Energy Technology, University of Paderborn, Warburger Str. 100, D-33098 Paderborn, Germany
| | - Yuri Gaponenko
- Microgravity Research Center, Université Libre de Bruxelles, CP-165/62, Ave. F.D. Roosevelt, 50, B-1050 Brussels, Belgium
| | - Aliaksandr Mialdun
- Microgravity Research Center, Université Libre de Bruxelles, CP-165/62, Ave. F.D. Roosevelt, 50, B-1050 Brussels, Belgium
| | - Tatjana Janzen
- Thermodynamics and Energy Technology, University of Paderborn, Warburger Str. 100, D-33098 Paderborn, Germany
| | - Valentina Shevtsova
- Microgravity Research Center, Université Libre de Bruxelles, CP-165/62, Ave. F.D. Roosevelt, 50, B-1050 Brussels, Belgium
| | - Jadran Vrabec
- Thermodynamics and Energy Technology, University of Paderborn, Warburger Str. 100, D-33098 Paderborn, Germany
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Klein T, Wu W, Rausch MH, Giraudet C, Koller TM, Fröba AP. Influence of Liquid Structure on Fickian Diffusion in Binary Mixtures of n-Hexane and Carbon Dioxide Probed by Dynamic Light Scattering, Raman Spectroscopy, and Molecular Dynamics Simulations. J Phys Chem B 2018; 122:7122-7133. [PMID: 29889520 DOI: 10.1021/acs.jpcb.8b03568] [Citation(s) in RCA: 27] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Abstract
This study contributes to a fundamental understanding of how the liquid structure in a model system consisting of weakly associative n-hexane ( n-C6H14) and carbon dioxide (CO2) influences the Fickian diffusion process. For this, the benefits of light scattering experiments and molecular dynamics (MD) simulations at macroscopic thermodynamic equilibrium were combined synergistically. Our reference Fickian diffusivities measured by dynamic light scattering (DLS) revealed an unusual trend with increasing CO2 mole fractions up to about 70 mol %, which agrees with our simulation results. The molecular impacts on the Fickian diffusion were analyzed by MD simulations, where kinetic contributions related to the Maxwell-Stefan (MS) diffusivity and structural contributions quantified by the thermodynamic factor were studied separately. Both the MS diffusivity and the thermodynamic factor indicate the deceleration of Fickian diffusion compared to an ideal mixture behavior. Computed radial distribution functions as well as a significant blue-shift of the CH stretching modes of n-C6H14 identified by Raman spectroscopy show that the slowing down of the diffusion is caused by a structural organization in the binary mixtures over a broad concentration range in the form of self-associated n-C6H14 and CO2 domains. These networks start to form close to the infinite dilution limits and seem to have their largest extent at a solute-solvent transition point at about 70 mol % CO2. The current results not only improve the general understanding of mass diffusion in liquids but also serve to develop sound prediction models for Fick diffusivities.
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Affiliation(s)
- Tobias Klein
- Institute of Advanced Optical Technologies - Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT) , Friedrich-Alexander-University Erlangen-Nürnberg (FAU) , Paul-Gordan-Straße 6 , 91052 Erlangen , Germany
| | - Wenchang Wu
- Institute of Advanced Optical Technologies - Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT) , Friedrich-Alexander-University Erlangen-Nürnberg (FAU) , Paul-Gordan-Straße 6 , 91052 Erlangen , Germany
| | - Michael H Rausch
- Institute of Advanced Optical Technologies - Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT) , Friedrich-Alexander-University Erlangen-Nürnberg (FAU) , Paul-Gordan-Straße 6 , 91052 Erlangen , Germany
| | - Cédric Giraudet
- Institute of Advanced Optical Technologies - Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT) , Friedrich-Alexander-University Erlangen-Nürnberg (FAU) , Paul-Gordan-Straße 6 , 91052 Erlangen , Germany
| | - Thomas M Koller
- Institute of Advanced Optical Technologies - Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT) , Friedrich-Alexander-University Erlangen-Nürnberg (FAU) , Paul-Gordan-Straße 6 , 91052 Erlangen , Germany
| | - Andreas P Fröba
- Institute of Advanced Optical Technologies - Thermophysical Properties (AOT-TP), Department of Chemical and Biological Engineering (CBI) and Erlangen Graduate School in Advanced Optical Technologies (SAOT) , Friedrich-Alexander-University Erlangen-Nürnberg (FAU) , Paul-Gordan-Straße 6 , 91052 Erlangen , Germany
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