A new semi‐empirical equation for compressed liquid densities of n‐alkanes

In this work, a new six-parameter semi-empirical equation has been developed for the predictions of the compressed liquid densities of n-alkanes from C2 to C10. The resulting functional form was established with the quasi-Newton optimization algorithm, which considers the experimental data sets for different fluids simultaneously. During the fitting process, the functional form of the equation is numerically very stable, and the substance-specific coefficients can be obtained easily. The calculated values from the new model were compared with the available experimental data and the values from reference equations in the literature. In most cases, the deviations are not more than ±0.5% for temperatures up to 0.7 times the critical temperature, whereas the agreement is within ±1.0% in the temperature range from the triple point to the critical point at reduced pressure up to 15. It was shown that the new semi-empirical equation was able to represent the compressed liquid densities of n-alkanes in wide thermodynamic ranges. © 2012 Curtin University of Technology and John Wiley & Sons, Ltd.

[1]  I. Velasco,et al.  Accurate values of some thermodynamic properties for carbon dioxide, ethane, propane, and some binary mixtures. , 2011, The journal of physical chemistry. B.

[2]  Jianguo Zhou,et al.  Densities, excess molar volume, isothermal compressibility, and isobaric expansivity of (dimethyl carbonate + n-hexane) systems at temperatures (293.15 to 313.15) K and pressures from 0.1 MPa up to 40 MPa , 2010 .

[3]  Mark A. McHugh,et al.  Equation of state modeling of high-pressure, high-temperature hydrocarbon density data , 2010 .

[4]  M. Chorążewski,et al.  Thermodynamic and Acoustic Properties of Mixtures of 1,6-Dichlorohexane with Heptane from (293 to 313) K † , 2010 .

[5]  X. An,et al.  Measurements of Density and Heat Capacity for Binary Mixtures {x Benzonitrile + (1 −x) (Octane or Nonane)}† , 2010 .

[6]  M. Kijevčanin,et al.  Densities and Excess Molar Volumes of 2-Butanol + Cyclohexanamine + Heptane and 2-Butanol + n-Heptane at Temperatures between (288.15 and 323.15) K , 2010 .

[7]  K. Hall,et al.  Accurate PρT Data for Methane from (300 to 450) K up to 180 MPa , 2010 .

[8]  Eric W. Lemmon,et al.  Thermodynamic Properties of Propane. III. A Reference Equation of State for Temperatures from the Melting Line to 650 K and Pressures up to 1000 MPa , 2009 .

[9]  J. Segovia,et al.  Automated densimetric system: Measurements and uncertainties for compressed fluids , 2009 .

[10]  W. Wakeham,et al.  Viscosity and Density of Five Hydrocarbon Liquids at Pressures up to 200 MPa and Temperatures up to 473 K , 2009 .

[11]  I. Malka,et al.  Densities and Excess Volumes of the 1-Chlorobutane + n-Hexane System at Temperatures from (283.15 to 333.15) K and Pressures from (0.1 to 35) MPa , 2008 .

[12]  H. Miyamoto,et al.  The (p, ρ, T, x) properties of (x1 propane + x2 n-butane) with x1 = (0.0000, 0.2729, 0.5021, and 0.7308) over the temperature range from (280 to 440) K at pressures from (1 to 200) MPa , 2008 .

[13]  L. Morávková,et al.  (p, Vm, T) measurements of (cyclohexane + nonane) at temperatures from 298.15 K to 328.15 K and at pressures up to 40 MPa , 2007 .

[14]  L. A. Galicia-Luna,et al.  Experimental Densities of Hexane + Benzothiophene Mixtures from (313 to 363) K and up to 20 MPa , 2007 .

[15]  Li-sheng Wang,et al.  Densities and Viscosities of Ternary Mixtures of Heptane, Octane, Nonane, and Hexyl Benzene from 293.15 K to 313.15 K , 2007 .

[16]  H. Miyamoto,et al.  ( p , ρ , T ) Properties for n -butane in the temperature range from 280K to 380K at pressures up to 200MPa , 2007 .

[17]  Huizhou Liu,et al.  Densities and viscosities of binary mixtures of tributyl phosphate with hexane and dodecane from (298.15 to 328.15) K , 2007 .

[18]  I. Abdulagatov,et al.  (p,ρ,T,x) and viscosity measurements of {x1n-heptane + (1 − x1)n-octane} mixtures at high temperatures and high pressures , 2006 .

[19]  L. Morávková,et al.  (P, Vm, T) Measurements of (octane + 1-chlorohexane) at temperatures from 298.15 K to 328.15 K and at pressures up to 40 MPa , 2006 .

[20]  Wolfgang Wagner,et al.  Reference Equations of State for the Thermodynamic Properties of Fluid Phase n-Butane and Isobutane , 2006 .

[21]  A. Kumagai,et al.  Measurements of the Liquid Viscosities of Mixtures of n-Butane, n-Hexane, and n-Octane with Squalane to 30 MPa , 2006 .

[22]  Roland Span,et al.  Short Fundamental Equations of State for 20 Industrial Fluids , 2006 .

[23]  Wolfgang Wagner,et al.  A reference equation of state for the thermodynamic properties of ethane for temperatures from the melting line to 675 K and pressures up to 900 MPa , 2006 .

[24]  G. Watson,et al.  High-Pressure Density Measurements for the Binary System Ethanol + Heptane , 2006 .

[25]  A. Pensado,et al.  Compressed liquid densities of squalane and pentaerythritol tetra(2-ethylhexanoate) , 2005 .

[26]  M. Dzida The Effect of Pressure on the Thermodynamic Properties of Propan-1-ol + n-Heptane Mixtures , 2004 .

[27]  H. Szwarc,et al.  Two Empirical Equations of State for Liquids to Improve p, V, T Data Representation and Physical Meaning , 2004 .

[28]  Josefa Fernández,et al.  Volumetric Properties of Binary Tetraethylene Glycol Dimethyl Ether + Heptane Mixtures between (278.15 and 353.15) K and up to 25 MPa , 2003 .

[29]  Mika M. Aalto,et al.  An improved correlation for compressed liquid densities of hydrocarbons. Part 1. Pure compounds , 1996 .

[30]  M. Zíková,et al.  Liquid Densities at Elevated Pressures of n-Alkanes from C5 to C16: A Critical Evaluation of Experimental Data , 1994 .

[31]  Marc J. Assael,et al.  An improved representation forn-alkane liquid densities , 1994 .

[32]  Xingmin Zhao,et al.  A new generalized equation for predicting volumes of compressed liquids , 1990 .

[33]  K. R. Brobst,et al.  An improved correlation for densities of compressed liquids and liquid mixtures , 1982 .

[34]  George H. Thomson,et al.  A new correlation for saturated densities of liquids and their mixtures , 1979 .

[35]  Calvin F. Spencer,et al.  Improved equation for prediction of saturated liquid density , 1972 .