Prediction of ternary excess enthalpy data by the UNIFAC Group Contribution method

The UNIFAC Group Contribution method is applied to predict ternary excess enthalpies H ^E . In order to improve previous predictions, values for the group interaction parameters are determined from binary excess enthalpy data. These parameters are used to estimate sixty-four sets of ternary H ^E data which are compared with data from the literature. Results are also compared with those obtained using methods to predict ternary excess enthalpies from the binary H ^E data for the three binary system involved.Communicated at the Festsymposium celebrating Dr. Henry V. Kehiaian's 60^th birthday, Clermont-Ferrand, France, 17–18 May 1990.     

Vapor–liquid equilibrium data and critical points for the system H2S+COS. Extension of the PSRK group contribution equation of state

Isothermal vapor–liquid equilibrium data for the binary system hydrogen sulfide+carbonyl sulfide were measured in the temperature range from 232 to 293 K using the static-synthetic technique. From the isothermal P−x data, the azeotropic conditions were derived. The critical line of this system was visually detected in a flow apparatus. Interaction parameters for this binary system were fitted simultaneously to all the experimental VLE and critical data for the Predictive Soave–Redlich–Kwong group contribution equation of state.     

基于PSRK模型预测高分子溶液汽液平衡

为了更好地预测高分子溶液的汽液平衡,本文应用PSRK模型改进的混合规则[即将组合项(∑xiInb／bi)与原UNIFAC模型中的组合项(Flory-Huggins项)相抵消所获得的简化的混合规则]来计算方程的能量参数α。为了计入自由体积效应对高分子溶液的过量Gibbs自由能的贡献,在计算体积参bij时,将原混合规则中的指数修订为bij^1/2(bi^1/2 bj^1/2)/2。应用PSRK模型结合改进的混合规则预测二元高分子溶液体系的汽液平衡,结果表明新模型的计算精度是令人满意的。     

UNIFAC方程用于H2O—n—C12H26—D2EHPA—LaCl3—HCl萃取体系

本文实验测定了n-C_(12)H_(26)-D_2EHPA在盐酸介质中萃取La~(3+)的平衡数据和H_2O-n-C_(12)H_(26)D_2EHPA体系的活度系数.用Pitzer方程计算水相中H_2O和H~+、La~(3+)的活度系数,用UNIFAC方程计算有机相各组分的活度系数,提出了萃取剂和金属萃合物的基因划分方法,经数据拟合,获得了能在全浓度范围内适用的萃取反应平衡常数和UNIFAC参数,用这些参数成功计算了n-C_(12)H_(26)-D_2EHPA萃取La~(3+)的平衡浓度.     

Modelling the Vapor–Liquid Equilibrium of Polymer Solutions Using a Cubic Equation of State

This work presents the vapor–liquid equilibrium calculations in an isothermal flash, applied to polymer solutions, using the Peng–Robinson cubic equation of state modified by Stryjek–Vera, and the mixing rule introduced by Wong–Sandler. This rule allows combining the rigid lattice thermodynamic model of Flory–Huggins to the Peng–Robinson–Stryjek–Vera equation of state. As the Gibbs free energy must be minimum in the equilibrium state, a stochastic optimization method, the simulated annealing algorithm, was used to find out the extreme of this thermodynamic potential.     

线性氟代烷烃电子相关能的基团加和性

应用Meld 程序在MP2-OPT2/6-311++G(d)水平计算了线性氟代烷烃分子CH3(CH2)mF(m=0-5)中—CH3、—CH2—和—F基团电子相关能贡献值. 计算结果表明, 在CH3(CH2)mF(m=0-5)体系中, 端基—F、—CH3基团电子相关能贡献值Ecorr(—F)和Ecorr(—CH3)随着m的增大而逐渐减小. 分子中α位置—CH2—基团电子相关能贡献值Ecorr(—CH2—)大于其他位置的贡献值. 通过计算结果可以推断, 在CH3(CH2)mF体系中随着m的逐渐增大, 远离端基—F的—CH2—基团电子相关能贡献值逐渐减小并将趋于不变, 此—CH2—基团可看作一个标准的亚甲基且其Ecorr(—CH2—)的数值在CH3(CH2)mF体系中具有传递性. 应用Meld程序在MP2-OPT2/6-311++G(d)水平对CH3(CH2)mF(m=2-5)体系的计算结果和应用Gaussian 98程序在MP2/6-311++G(d)//HF/6-311++G(d)水平对CH3(CH2)mF(m=2-10)体系的计算结果均表明, 体系总电子相关能与体系中(m-1)数值呈线性关系.     

Improvement on the Carnahan-Starling Equation of State for Hard-sphere Fluids

Making use ofWeierstrass's theorem and Chebyshev's theorem and referring to the equations of state of the scaled-particle theory and the Percus-Yevick integration equation, we demon-strate that there exists a sequence of polynomials such that the equation of state is given by the limit of the sequence of polynomials. The polynomials of the best approximation from the third order up to the eighth order are obtained so that the Carnahan-Starling equation can be improved successively. The resulting equations of state are in good agreement with the simulation results on the stable fluid branch and on the metastable fluid branch.     

Equation of state of the hard sphere liquid

Using the results of Monte Carlo simulation, equations of state of hard sphere liquids are calculated for 106 values of the fill factor η= 0.005–0.530 (step of 0.005). In the region of liquid phase stability the absolute accuracy of about 0.00001–0.00008 is reached. Correctness of the accuracy estimate is discussed. The results obtained are compared with reported equations of state of the hard sphere liquid.     

缔合马丁-侯状态方程I 方程的建立

An associating MH equation of state (AMH EOS) is developed on the basis of the MH equation of state by incorporating the chemical association into it, a constant evaluation method is proposed for the AMH EOS. The AMH EOS is used to calculate thermodynamic properties of water, some alcohols and carboxylic acids, good results are obtained. It shows that the constant evaluation method is feasible.     

Model Equations of State for Liquid Alkali Metals

Abstract

The structure of a model equation of state for the liquid alkali metals is proposed, in response to the observed failure of the principle of corresponding states, and limited tests are presented.     

基团贡献法估算线性烷基醇分子体系电子相关能

在本文中,提出了极性基团电子相关能贡献的定义,并在MP2-OPT2/6-311++G(d)水平上计算了CH₃(CH₂) _mOH( m=0-4)体系中HO-、CH₃-和-CH₂-基团电子相关能贡献值。计算结果表明,在CH₃(CH₂) _mOH( m=0-4)体系中端基HO-、CH₃-基团电子相关能贡献值 E_corr(HO-)和 E_corr(cH₃-)的数值随着 m的增加而逐渐减小。同一体系中a -CH₂-基团电子相关能贡献值大于其它-CH₂-基团电子相关能贡献值,在CH₃(CH₂) _mOH( m=1-4)体系中,距离端基HO-基团越远的-CH₂-基团其电子相关能贡献值越小;通过计算结果可以推断,在CH₃(CH₂) _mOH体系中随着 m的逐渐增加,相对远离端基HO-的-CH₂-基团的电子相关能贡献值表现出收敛趋向并将趋于不变,此-CH₂-基团可看作一个标准的亚甲基而且其 E_corr(-cH₂-)的数值在CH₃(CH₂) _mOH体系中具有传递性。在MP2-OPT2/6-311++G(d)水平上对CH₃(CH₂) _mOH( m=2-4)体系的计算结果和应用Gaussian 98程序在MP2/6-311++G(d)//HF/6-311++G(d)水平上对CH₃(CH₂) _mOH( m=2-7)体系的计算结果均表明,体系总电子相关能与（ m-1）呈 中 m是体系中亚甲乙烯基的数值。     

A New Perturbed Hard-Sphere Equation of State

In 1873 van der Waals1 proposed a two-parameter cubic equation of state (EOS), which provides a rather clear physical picture of molecular interactions in real fluids. Because of its simplicity, it soon was widely used. Other famous equations of state, such as PR2, Soave3, have been proposed since then. But all these equations are not accurate enough when applied to liquid phase.The trend of modeling the properties of fluids is that a single equation of state can be applied to both vapor an…     

Equation of state for square-well chain molecules with variable range. I: Application for pure substances

An equation of state (EOS) for square-well chain molecules with variable range developed on the basis of statistical mechanics for chemical association in our previous work is employed for the calculations of pVT properties and vapor–liquid equilibria (VLE) of pure non-associating fluids. The molecular parameters for 73 normal substances and 46 polymers are obtained from saturated vapor pressure and liquid molar volume data for normal fluids or pVT data for polymers. Linear relations are found for the molecular parameters of normal fluids with their molecular weight of homologous compounds. This indicates that the model parameters of homologous series, subsequently pVT and VLE, can be predicted when experimental data are not available. The predicted saturated vapor pressures and/or liquid volumes are satisfactory through the generalized model parameters. The calculated VLE and pVT for normal fluids and polymers by this EOS are compared with those from other engineering models, respectively.     

Measurement of vapor–liquid equilibria (VLE) and excess enthalpies (H) of binary systems with 1-alkyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide and prediction of these properties and γ using modified UNIFAC (Dortmund)

Vapor–liquid equilibria (VLE) and excess enthalpies (H^E) were measured for a variety of alkanes, alkenes, aromatics, alcohols, ketones and water in several ionic liquids, 1-ethyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide [EMIM]⁺[BTI]⁻, 1-butyl-3-methyl-imidazolium bis(trifluoromethylsulfonyl)imide [BMIM]⁺[BTI]⁻, 1-hexyl-3-methyl-imidazolium bis(trifluoromethylsulfonyl)imide [HMIM]⁺[BTI]⁻ and 1-octyl-3-methyl-imidazolium bis(trifluoromethylsulfonyl)imide [OMIM]⁺[BTI]⁻, covering the temperature range from 323.15 to 413.15 K. The new data were used together with the already available experimental data for imidazolium compounds to fit the required group interaction parameters for modified UNIFAC (Dortmund). The results show that in the future modified UNIFAC (Dortmund) can be applied successfully also for systems with ionic liquids.     

Modification of PSRK mixing rules and results for vapor–liquid equilibria, enthalpy of mixing and activity coefficients at infinite dilution

The predictive Soave–Redlich–Kwong (PSRK) equation of state (EOS) is a well-established method for the prediction of thermodynamic properties required in process simulation. But there are still some problems to be solved, e.g. the reliability for strong asymmetric mixtures of components which are very different in size. The following modifications are introduced in the PSRK mixing rules: the Flory–Huggins term in the mixing rule for the EOS parameter a, and the combinatorial part in the UNIFAC model are skipped simultaneously; a nonlinear mixing rule for the EOS parameterb, instead of the linear mixing rule, is proposed. With these two modifications better results are obtained for vapor–liquid equilibria and activity coefficients at infinite dilution for alkane–alkane systems, specially for asymmetric systems. In order to obtain better results for enthalpy of mixing, temperature-dependent parameters are used. Group interaction parameters have been fitted for several groups, and the results are compared with the Modified UNIFAC (Dortmund), and the PSRK methods.     

Application of Different Group Contribution Models and Empirical Methods to Excess Enthalpies of Ternary Mixtures

Studies were previously made of the excess molar enthalpies, H_m ^E, at 298.15 K and normal atmospheric pressure of the ternary mixtures (ethyl propanoate or 3-pentanone) + (n-hexane) + (n-decane, n-dodecane or n-tetradecane) and (1-propanol) + (3-pentanone) + (n-hexane, n-heptane, n-octane, 1-hexanol or 1-heptanol). In the present work, experimental values of H_m ^E were correlated through use of the Cibulka and Nagata equations, and a new correlation equation is proposed. Experimental data were compared with the predictions of the UNIFAC I (version of Tassios), UNIFAC II (version of Larsen) and Nitta-Chao group contribution models. H_m ^E values were used to test several empirical predictive methods, both symmetric (Kohler, Jacob-Fitzner, Colinet and Knobeloch-Schwartz), and asymmetric (Tsao-Smith, Toop, Scatchard, Hillert and Mathieson-Tynne). This revised version was published online in July 2006 with corrections to the Cover Date.     

Derivation of Martin-Hou Equation of State from Hard-particle Perturbation Theory

IntroductionIn the mid 1950's, an empirical equation of state was proposed by Martin and HouLI] abbreviated to the M--H equation. It is a more accurate equation of state applicable to real gasesincluding polar compounds, such as ammonia and water over a wide range of density and temperature. In 1981, the M--H equation was extended further to liquid domain by Hou et al. [2),and later, it was used to calculate the vapor--liquid equilibrium, liquid--liquid equilibrium andother thermodynamic p…     

计算离子液体溶液汽液相平衡的分子热力学模型

用平均球近似理论、微扰理论和UNIFAC基团贡献方法分别考虑离子之间的长程静电作用、离子与溶剂之间的中程静电作用以及所有粒子之间的短程作用,本文提出了一种新的分子热力学模型,可用于离子液体溶液中溶剂活度系数的计算.通过对含烷基咪唑磷酸酯类离子液体与水、甲醇或乙醇组成的9个二元体系的饱和蒸汽压数据进行关联,获得了相关的模型参数,即溶剂的分子直径和基团之间的交互作用能参数.溶剂活度系数及饱和蒸汽压的计算结果与实验值的平均偏差为1.40%,符合良好,因此本模型可望用于含离子液体体系汽液相平衡的预测.     

The Effect of Pressure on the Microphase Separation of Diblock Copolymer Melts Studied by Dynamic Density Functional Theory Based on Equation of State

The effect of pressure on the microphase separation of diblock copolymer melts was investigated by dynamic density functional theory based on equation of state. The results correspond well with experiment data. With the application of high pressure, all of the phase regions corresponding to the different ordered morphologies become narrower. However, the pressure dependence of the order‐disorder transition temperature (T_ODT) relies on the symmetry of the diblock copolymer. In the very non‐symmetrical case when f is small, T_ODT decreases with increasing pressure, while in the symmetrical case when f = 0.5, T_ODT increases with increasing pressure. For the latter case, the increase in the total bead number of the system at the ODT is found, which is in good accordance with the experimental phenomenon that there is an increase in volume accompanying with the transition from ordered to disordered state. In contrast to the temperature, the pressure does not influence the starting time and the duration of microphase separation.

     

用状态方程预测极性溶剂中多种气体的亨利常数

应用立方型链转子状态方程预测不同温度和压力下多种超临界气体在亚临界极性液体中的亨利常数,得到良好的结果.并从理论上加以分析和讨论.