Henry’s law constants of methane, nitrogen, oxygen and carbon dioxide in ethanol from 273 to 498 K: Prediction from molecular simulation

Abstract Henry’s law constants of the solutes methane, nitrogen, oxygen and carbon dioxide in the solvent ethanol are predicted by molecular simulation. The molecular models for the solutes are taken from previous work. For the solvent ethanol, a new rigid anisotropic united atom molecular model based on Lennard–Jones and coulombic interactions is developed. It is adjusted to experimental pure component saturated liquid density and vapor pressure data. Henry’s law constants are calculated by evaluating the infinite dilution residual chemical potentials of the solutes from 273 to 498 K with Widom’s test particle insertion. The prediction of Henry’s law constants without the use of binary experimental data on the basis of the Lorentz–Berthelot combining rule agree well with experimental data, deviations are 20%, except for carbon dioxide for which deviations of 70% are reached. Quantitative agreement is achieved by using the modified Lorentz–Berthelot combining rule which is adjusted to one experimental mixture data point.

[1]  Jadran Vrabec,et al.  Vapour liquid equilibria of the Lennard-Jones fluid from the NpT plus test particle method , 1992 .

[2]  J. Barker,et al.  The equation of state of simple liquids , 1968 .

[3]  Kwong H. Yung,et al.  Carbon Dioxide's Liquid-Vapor Coexistence Curve And Critical Properties as Predicted by a Simple Molecular Model , 1995 .

[4]  M. V. Leeuwen Prediction of the vapour-liquid coexistence curve of alkanols by molecular simulation , 1996 .

[5]  Hans Hasse,et al.  A Set of Molecular Models for Symmetric Quadrupolar Fluids , 2001 .

[6]  Ivo Nezbeda,et al.  A New Version of the Insertion Particle Method for Determining the Chemical Potential by Monte Carlo Simulation , 1991 .

[7]  C. Brooks Computer simulation of liquids , 1989 .

[8]  Rolf Lustig,et al.  Angle-average for the powers of the distance between two separated vectors , 1988 .

[9]  L. Bircher,et al.  THE SOLUBILITY OF NITROGEN, ARGON, METHANE, ETHYLENE AND ETHANE IN NORMAL PRIMARY ALCOHOLS1 , 1960 .

[10]  K. Shing,et al.  Henry constants in non-ideal fluid mixtures , 1988 .

[11]  David A. Rockstraw,et al.  A generating equation for mixing rules and two new mixing rules for interatomic potential energy parameters , 2004, J. Comput. Chem..

[12]  Florian Müller-Plathe,et al.  An All-Atom Force Field for Liquid Ethanol–Properties of Ethanol–Water Mixtures , 1996 .

[13]  William L. Jorgensen Quantum and statistical mechanical studies of liquids. 12. Simulation of liquid ethanol including internal rotation , 1981 .

[14]  John M. Stubbs,et al.  Monte Carlo calculations for the phase equilibria of alkanes, alcohols, water, and their mixtures , 2001 .

[15]  A. S. McDaniel The Absorption of Hydrocarbon Cases by Nonaqueous Liquids , 1910 .

[16]  A. Fuchs,et al.  On the role of the definition of potential models in Gibbs ensemble phase equilibria simulations of the H2S-pentane mixture , 2000 .

[17]  Bruce J. Berne,et al.  Intermolecular potential models for anisotropic molecules, with applications to N2, CO2, and benzene , 1976 .

[18]  J. Ilja Siepmann,et al.  Monte Carlo Calculations for Alcohols and Their Mixtures with Alkanes. Transferable Potentials for Phase Equilibria. 5. United-Atom Description of Primary, Secondary, and Tertiary Alcohols , 2001 .

[19]  J. Barojas,et al.  Simulation of Diatomic Homonuclear Liquids , 1973 .

[20]  A. Fuchs,et al.  On the role of the definition of potential models in Gibbs ensemble phase equilibria simulations of the H2S-pentane mixture , 2000 .

[21]  Jong Sung Lim,et al.  Phase equilibria for carbon dioxide-ethanol-water system at elevated pressures , 1994 .

[22]  Michael L. Klein,et al.  Pairwise additive effective potentials for nitrogen , 1980 .

[23]  G. Halsey,et al.  Second Virial Coefficients of Argon, Krypton, and Argon‐Krypton Mixtures at Low Temperatures , 1962 .

[24]  M. Suzuki,et al.  Intermolecular Potential and Lattice Dynamics of the CO2 Crystal , 1971 .

[25]  William L. Jorgensen,et al.  Optimized intermolecular potential functions for liquid alcohols , 1986 .

[26]  R. Pierotti,et al.  THE SOLUBILITY OF GASES IN LIQUIDS , 1963 .

[27]  J. Fischer,et al.  Influence of intermolecular potential parameters on orthobaric properties of fluids consisting of spherical and linear molecules , 1984 .

[28]  Athanassios Z. Panagiotopoulos,et al.  Monte Carlo methods for phase equilibria of fluids , 2000 .

[29]  Jiali Gao,et al.  A Polarizable Intermolecular Potential Function for Simulation of Liquid Alcohols , 1995 .

[30]  Junji Tokunaga,et al.  SOLUBILITIES OF METHANE IN METHANOL-WATER AND ETHANOL-WATER SOLUTIONS , 1975 .

[31]  Chiehming J. Chang,et al.  A new apparatus for the determination of P–x–y diagrams and Henry's constants in high pressure alcohols with critical carbon dioxide , 1998 .

[32]  M. Hiza,et al.  Comment on ’’Intermolecular forces in mixtures of helium with the heavier noble gases’’ , 1978 .

[33]  W. L. Jorgensen Quantum and statistical mechanical studies of liquids. 10. Transferable intermolecular potential functions for water, alcohols, and ethers. Application to liquid water , 2002 .

[34]  T. Nitta,et al.  Solubilities of hydrogen and nitrogen in alcohols and n-hexane , 1976 .

[35]  F. Smith Atomic Distortion and the Combining Rule for Repulsive Potentials , 1972 .

[36]  S. Cheng,et al.  Solubilities of ethane and other gases in normal paraffin solvents , 1970 .

[37]  J. McCoubrey,et al.  Intermolecular forces between unlike molecules. A more complete form of the combining rules , 1960 .

[38]  J. Alejandre,et al.  Thermodynamic and transport properties of nitrogen and butane mixtures , 2000 .

[39]  Johann Fischer,et al.  Vapour liquid equilibrium of a pure fluid from test particle method in combination with NpT molecular dynamics simulations , 1990 .

[40]  J. G. Powles,et al.  The properties of liquid nitrogen , 1976 .

[41]  Molecular Simulation of Henry's Constant at Vapor-Liquid and Liquid-Liquid Phase Boundaries , 1997 .

[42]  J. G. Powles,et al.  The properties of liquid nitrogen: IV. A computer simulation , 1975 .

[43]  J. G. Powles,et al.  The properties of liquid nitrogen: V. Computer simulation with quadrupole interaction , 1976 .

[44]  E. Brunner,et al.  Fluid mixtures at high pressures VIII. Isothermal phase equilibria in the binary mixtures: (ethanol + hydrogen or methane or ethane) , 1990 .

[45]  R. Battino,et al.  Solubility of gases in liquids. 19. Solubility of He, Ne, Ar, Kr, Xe, N2, O2, CH4, CF4, and SF6 in normal 1-alkanols n-ClH2l+1OH (1 .ltoreq. l .ltoreq. 11) at 298.15 K , 1993 .

[46]  S. Lago,et al.  EXCESS PROPERTIES OF LIQUID MIXTURES FROM PERTURBATION THEORY: RESULTS FOR MODEL SYSTEMS AND PREDICTIONS FOR REAL SYSTEMS , 1985 .

[47]  W. L. Jorgensen,et al.  Development and Testing of the OPLS All-Atom Force Field on Conformational Energetics and Properties of Organic Liquids , 1996 .

[48]  Bruce J. Berne,et al.  On the Calculation of Time Correlation Functions , 2007 .

[49]  A. Ben-Naim,et al.  Hydrophobic interaction in water-ethanol mixtures , 1973 .

[50]  Hans Hasse,et al.  Molecular models of unlike interactions in fluid mixtures , 2005 .

[51]  H. Hasse,et al.  Grand Equilibrium: vapour-liquid equilibria by a new molecular simulation method , 2002, 0905.0612.

[52]  J. Ilja Siepmann,et al.  Transferable Potentials for Phase Equilibria. 1. United-Atom Description of n-Alkanes , 1998 .

[53]  J. Petravic,et al.  Influence of temperature, pressure and internal degrees of freedom on hydrogen bonding and diffusion in liquid ethanol , 2003 .

[54]  J. Fischer,et al.  Vapour liquid equilibria of mixtures from the NpT plus test particle method , 1995 .

[55]  J. Fischer,et al.  Determination of an effective intermolecular potential for carbon dioxide using vapour-liquid phase equilibria from NpT + test particle simulations , 1994 .

[56]  A. Schumpe,et al.  Gas solubilities (hydrogen, helium, nitrogen, carbon monoxide, oxygen, argon, carbon dioxide) in organic liquids at 293.2 K , 1989 .

[57]  Mark S. Gordon,et al.  General atomic and molecular electronic structure system , 1993, J. Comput. Chem..

[58]  Michael L. Klein,et al.  Thermodynamic properties for a simple model of solid carbon dioxide: Monte Carlo, cell model, and quasiharmonic calculations , 1974 .

[59]  P. Kollman,et al.  A Second Generation Force Field for the Simulation of Proteins, Nucleic Acids, and Organic Molecules , 1995 .

[60]  P. Kollman,et al.  A Second Generation Force Field for the Simulation of Proteins, Nucleic Acids, and Organic Molecules J. Am. Chem. Soc. 1995, 117, 5179−5197 , 1996 .

[61]  J. Ilja Siepmann,et al.  Novel Configurational-Bias Monte Carlo Method for Branched Molecules. Transferable Potentials for Phase Equilibria. 2. United-Atom Description of Branched Alkanes , 1999 .

[62]  D. Tildesley,et al.  Phase Diagrams of Diatomic Molecules Using the Gibbs Ensemble Monte Carlo Method , 1994 .

[63]  M.,et al.  Optimized Intermolecular Potential Functions for Liquid Alcohols , 2001 .

[64]  S. Murad,et al.  A simple molecular dynamics simulation for calculating Henry's constant and solubility of gases in liquids , 2000 .

[65]  S. Rundqvist,et al.  The Solubility of Methane in Hydrocarbons, Alcohols, Water, and Other Solvents. , 1960 .

[66]  M. Postigo,et al.  Solubility and thermodynamics of carbon dioxide in aqueous ethanol solutions , 1987 .

[67]  Eduardo Enciso,et al.  Ethanol force fields: A molecular dynamics study of polarization effects on different phases , 1999 .

[68]  J. Fischer,et al.  Description of polyatomic real substances by two-center Lennard-Jones model fluids , 1986 .

[69]  H. Hasse,et al.  Chemical potential of quadrupolar two-centre Lennard-Jones fluids by gradual insertion , 2002, 0904.4771.

[70]  Philippe Ungerer,et al.  Optimization of the anisotropic united atoms intermolecular potential for n-alkanes , 2000 .

[71]  Hans Hasse,et al.  Vapor–liquid equilibria of mixtures containing nitrogen, oxygen, carbon dioxide, and ethane , 2003 .

[72]  A. F. Mills,et al.  Density, viscosity, surface tension, and carbon dioxide solubility and diffusivity of methanol, ethanol, aqueous propanol, and aqueous ethylene glycol at 25.degree.C , 1981 .

[73]  C. F. Curtiss,et al.  Molecular Theory Of Gases And Liquids , 1954 .

[74]  Ian R. McDonald,et al.  Interaction site models for carbon dioxide , 1981 .

[75]  J. Fischer,et al.  Vapour liquid equilibria of Lennard-Jones model mixtures from the NpT plus test particle method , 1995 .

[76]  W. L. Jorgensen Quantum and statistical mechanical studies of liquids. 12. Simulation of liquid ethanol including internal rotation , 1981 .

[77]  Graham Richards,et al.  Intermolecular forces , 1978, Nature.

[78]  Antoinette J. Taylor,et al.  Thermodynamic and structural properties of liquids modelled by ‘2-Lennard-Jones centres’ pair potentials , 1977 .

[79]  M. Hiza,et al.  A correlation for the prediction of interaction energy parameters for mixtures of small molecules , 1970 .

[80]  Arnold T. Hagler,et al.  New combining rules for rare gas van der waals parameters , 1993, J. Comput. Chem..

[81]  T. E. Daubert,et al.  Data compilation tables of properties of pure compounds , 1985 .

[82]  C. Kong Combining rules for intermolecular potential parameters. II. Rules for the Lennard‐Jones (12–6) potential and the Morse potential , 1973 .

[83]  W. Kunerth Solubility of CO 2 and N 2 O in certain Solvents , 1922 .

[84]  F. Kohler Zur Berechnung der Wechselwirkungsenergie zwischen ungleichen Molekülen in binären flüssigen Mischungen , 1957 .

[85]  L. Slutsky,et al.  Model for the lattice vibrations of a crystal of diatomic molecules—I. Frequency distributions, Debye-Waller factors, and infrared spectra* , 1972 .

[86]  R. Battino,et al.  On Solvophobic Interaction , 1972 .

[87]  William L. Jorgensen,et al.  Optimized intermolecular potential functions for liquid hydrocarbons , 1984 .

[88]  B. Widom,et al.  Some Topics in the Theory of Fluids , 1963 .

[89]  Junji Tokunaga Solubilities of oxygen, nitrogen, and carbon dioxide in aqueous alcohol solutions , 1975 .