Modeling of the solubility of solid solutes in supercritical CO<Subscript>2</Subscript> with and without cosolvent using solution theory

In this work, regular solution theory was applied to study the solubility of solids in a supercritical fluid (SCF) with and without cosolvent, and a new model for binary and ternary systems was proposed. The activity coefficient can be obtained from the model and the solubility can then be calculated easily. For a binary system there are two adjustable parameters and for a ternary system, four adjustable parameters; the parameters are related to the interactions between molecules in solution. The proposed model was compared with the HSVDW1 and HSVDW2 models. The calculated results show that the proposed model is more accurate, and the AAD for the three models is 4.5%, 7.9% and 18.5%, respectively. The model was further used to correlate the solubility data of 2-naphthol in SC CO₂ with and without cosolvent measured by us before, and the overall AAD is 3.23%.     

Understanding phase behaviors of multicomponent polymer mixtures based on a molecular thermodynamic framework combined with molecular simulation

A new molecular thermodynamic model based on a closed-packed lattice model is developed for multicomponent systems. Based on Monte-Carlo (MC) simulation results, we introduce new universal functions to consider the chain length dependence of polymers, and are able to obtain more accurate critical volume fraction results in liquid–liquid equilibrium (LLE) calculations. In associated blend systems, specific interactions are used to characterize strongly interacting polymer mixtures with a secondary lattice. To minimize the number of adjustable model parameters, chain length parameters are calculated in a conventional way using molecular weight and specific volume. Our proposed model successfully describes binary LLE for polymer-solvent systems. Furthermore, the model parameters obtained from these binary systems are directly used to predict corresponding LLE ternary systems, and the results were in good agreement with experimental data.     

A SEMI-EMPIRICAL MOLECULAR ACTIVITY COEFFICIENT MODEL WITH IRREGULAR PARAMETER DISTRIBUTION

A new semi-empirical molecular model was proposed to predict activity coefficients, using two adjustable binary parameters. For γ_i's of 20 mostly polar, associated and dimerizable binary and 7 ternary systems, average relative root mean square deviation of 0.0373 and 0.0369 respectively were achieved.

It was shown that in most cases the new model is more suitable for correlating VLE data than the Wilson (0.0783, 0.0859), NRTL (0.0461, 0.0483), UNIQUAC (0.2598, 0.0546) and modified UNIOUAC (0.0580, 0,0558) equations*     

二溴苯三元物系固液平衡测定与正规溶液模型

采用差示扫描量热法,通过对一系列"拟二元"物系固液平衡数据的测定,得到了邻二溴苯、间二溴苯和对二溴苯三元物系的固液平衡数据.实验结果表明本物系为简单低共熔型,其低共熔摩尔分数组成和温度分别为:邻二溴苯(x1) 间二溴苯(x2) 对二溴苯(x3),x1=0.4259,x2=0.5345,x3=0.0396,Tcu=238.5 K.文中绘制出了其相应的低共熔三元固液平衡相图,并采用正规溶液模型,利用二元溶液的三个相互作用参数对实验数据进行了关联,温度均方根偏差仅为1.32 K,说明正规溶液模型适用于上述弱极性异构体三元物系固液平衡的计算.     

Modeling high pressure vapor–liquid equilibrium of ternary systems containing supercritical CO2 and mixed organic solvents using Peng–Robinson equation of state

High pressure vapor–liquid equilibrium (VLE) of CO₂-expanded organic solvents was investigated using Peng–Robinson-LCVM-UNIFAC equation of state. Bubble pressure of several ternary mixtures was predicted using this model and correlations were developed based only on binary experimental data. A sensitivity study of the LCVM parameter numerical value was done by considering the coherence between the mathematical features of the mixing rule and the quality of the simulation. The results provided by PR-LCVM-UNIFAC were compared with those ones given by Peng–Robinson equation of state using the classical quadratic mixing rules (PR-CMR). Despite the use of two adjustable parameters for each binary system, PR-CMR is not able to provide good results when applied to ternary systems. The capability of PR-LCVM-UNIFAC model to predict liquid mixture density for ternary systems using parameters regressed only from bubble pressure experimental data was also investigated. Due to the lack of liquid density experimental data, it was possible to perform only a qualitative assessment of the density curves calculated by this equation of state.     

Measurement and correlation of liquid-liquid equilibria for polystyrene-cyclopentane and polystyrene-cyclopentane-cyclohexane systems

Liquid-liquid equilibrium data for the polystyrene-cyclopentane binary system and the polystyrene-cyclopentane-cyclohexane ternary system were measured by observing the cloud points at the temperature range in which the systems showed their lower critical solution temperature. The experimental liquid-liquid equilibria were correlated successfully by the UNIFAC-FV model with adjustable parameters.     

A local composition model for multicomponent liquid mixture thermal conductivities

A local composition model for multicomponent, liquid mixture thermal conductivity has been developed and tested. Only binary equilibrium thermodynamic information is used in the model to obtain local compositions. No mixture thermal conductivity data are required and no adjustable parameters are used. Predictions based on this model agreed, within experimental uncertainty, with the experimental results for eighteen different binary mixtures at 1 atm and various temperatures. An average absolute percent deviation from experiment of 1.0% was obtained over the entire composition range for the eighteen systems. The maximum deviation at any of the tested compositions was 3.5%. Thermal conductivities for ternary systems have also been computed.     

Thermodynamic modeling and phase diagram prediction of salt lake brine systems. I. Aqueous Mg2+-Ca2+-Cl- binary and ternary systems

Salt lake brine is a complex salt-water system under natural environment. Although many models can express the thermodynamic properties and phase equilibrium of electrolyte aqueous solution, the multi-temperature characteristics and predictability are still the goals of model development. In this study, a comprehensive thermodynamic model system is re-established based on the eNRTL model and some improvements: (1) new expression of long-range electrostatic term with symmetrical reference state is proposed to handle the electrolyte solution covering entire concentration range; (2) the temperature dependence of the binary interaction parameters is formulated with a Gibbs Helmholtz expression containing three temperature coefficients, the liquid parameters, which associated with Gibbs energy, enthalpy, and heat capacity contribution; and (3) liquid parameters and solid species data are regressed from properties and solubility data at full temperature range. Together the activity coefficient model, property models and parameters of liquid and solid offer a comprehensive thermodynamic model system for the typical bittern of MgCl₂-CaCl₂-H₂O binary and ternary systems, and it shows excellent agreement with the literature data for the ternary and binary systems. The successful prediction of complete phase diagram of ternary system shows that the model has the ability to deal with high concentration and high non-ideality system, and the ability to extrapolate the temperature.     

二甲基硫醚-二硫化碳-甲醇体系等压汽液平衡

用泵式沸点仪测定了100 kPa下二甲基硫醚-二硫化碳、二甲基硫醚-甲醇2个二元系以及二甲基硫醚-二硫化碳-甲醇三元系在不同液相组成时的汽液平衡数据,用Wilson、NRTL、Margules和van Laar模型分别对2个二元系活度系数进行关联,用最小二乘法求出其液相活度系数模型参数,用这些模型参数来计算其汽相组成y,根据过量Gibbs自由能函数Q(GE/RT),采用间接法由Tpx推算了2个二元系的汽相平衡组成。用所得的液相活度系数计算2个二元系的过量吉布斯自由能函数GE/RT,并由2个二元系与三元系回归出二硫化碳-甲醇二元系的NRTL模型参数。用3个二元系NRTL模型参数对所测的三元系数据进行关联,建立三元系汽液平衡的热力学模型并计算平衡时的汽相组成y和泡点温度。分别由Herington法和McDermott-Ellis法对2个二元系和三元系进行热力学一致性检验,结果表明这些相平衡数据满足热力学一致性。     

Thermodynamic modeling and phase diagram prediction of salt lake brine systems. I. Aqueous Mg2+–Ca2+–Cl− binary and ternary systems

Salt lake brine is a complex salt-water system under natural environment. Although many models can express the thermodynamic properties and phase equilibrium of electrolyte aqueous solution, the multi-temperature characteristics and predictability are still the goals of model development. In this study, a comprehensive thermodynamic model system is re-established based on the eNRTL model and some improvements: (1) new expression of long-range electrostatic term with symmetrical reference state is proposed to handle the electrolyte solution covering entire concentration range; (2) the temperature dependence of the binary interaction parameters is formulated with a Gibbs Helmholtz expression containing three temperature coefficients, the liquid parameters, which associated with Gibbs energy, enthalpy, and heat capacity contribution; and (3) liquid parameters and solid species data are regressed from properties and solubility data at full temperature range. Together the activity coefficient model, property models and parameters of liquid and solid offer a comprehensive thermodynamic model system for the typical bittern of MgCl₂–CaCl₂–H₂O binary and ternary systems, and it shows excellent agreement with the literature data for the ternary and binary systems. The successful prediction of complete phase diagram of ternary system shows that the model has the ability to deal with high concentration and high non-ideality system, and the ability to extrapolate the temperature.     

状态方程模拟醇胺系统的密度和汽液相平衡

通过考虑醇胺分子间的缔合作用,结合先前开发的非缔合变阱宽链流体状态方程(SWCF-VREOS)建立了一个缔合方阱链流体状态方程,并利用方程模拟了醇胺系统的密度和汽液相平衡。通过关联不同温度下醇胺的饱和蒸气压和液体体积得到了18种醇胺流体的分子参数,新方程计算的饱和蒸气压和液体密度总的平均误差分别为0.94%和0.88%。结合简单的混合规则,将此方程扩展到混合系统。研究发现,建立的方程可预测二元和三元醇胺混合物的密度。当引入一个与温度无关的可调参数时,方程能满意关联二元系统的汽液相平衡数据,并可进一步预测多元混合系统的汽液相平衡,预示着新方程可模拟醇胺系统的相行为。     

三元体系液液界面张力与溶解度的关联

本文采用界面相模型,推导出一个关联界面张力与溶解度数据的方程.经24个三元体系的检验,方程给出了满意的结果.通过引入部分互溶对的界面张力与互溶度数据所得到的修正方程可作更好的关联     

甲醇-乙酸-丙酸多元体系汽液平衡

用新型泵式沸点仪测定了在100kPa下甲醇-乙酸、甲醇-丙酸、乙酸-丙酸3个二元体系以及甲醇-乙酸-丙酸三元系在不同液相组成时的沸点,并用间接法T-p-x(温度、压力和液相摩尔分数)推算了3个二元体系的汽相平衡组成。3个二元体系活度系数分别用Wilson模型、NRTL模型、Margules模型和van Laar模型进行关联,用最小二乘法求出了它们的液相活度系数模型参数,同时,用这些模型参数来计算它们的汽相摩尔分数。所得的液相活度系数来计算3个二元体系的过量吉布斯自由能函数,且所研究的所有体系中各组分之间不存在共沸点。用3个二元体系Wilson模型参数对所测的三元体系数据进行关联,建立该系统汽液平衡的热力学模型并计算平衡时的汽相摩尔分数和泡点温度。由面积积分法检验这些模型参数计算的3个二元体系相平衡数据,得到很好的热力学一致性。     

水-乙酸-糠醛三元体系相平衡数据关联与共沸精馏过程模拟

通过最大似然法,采用NRTL-HOC和UNIQUAC-HOC模型对水-乙酸、水-糠醛、乙酸-糠醛二元体系相平衡进行回归模拟,发现NRTL-HOC模型较适合于水-乙酸二元体系,UNIQUAC-HOC模型较适合于水-糠醛、乙酸-糠醛二元体系;选择UNIQUAC-HOC模型,根据二元相互作用参数推算出水-乙酸-相似文献   

Closure equations in the estimation of binary interaction parameters

Binary interaction parameters used in the UNIQUAC activity coefficient model are found to be dependent on each other and related by a linear relation termed as the closure equation. For a ternary system, six binary interaction parameters are related by one closure equation. Similarly for quaternary systems, three independent closure equations are obtained for the twelve binary interaction parameters and for quinary systems there are six closure equations for twenty parameters. Each closure equation consists of six parameters. The binary interaction parameters that do not satisfy the closure equations may lead to a less accurate prediction of liquid-liquid equilibria. In this work the binary interaction parameters have been estimated with and without closure equations for few ternary and quaternary systems. Parameters that satisfy the closure equations exhibit better root mean square deviation than those that do not satisfy the closure equations in most of the cases. A similar behavior is observed for NRTL model also.     

DMSO、DMF和H_2O体系相平衡数据的测定和预测

采用拟静态沸点仪法测定了二元体系二甲基亚砜(DMSO)-N,N-二甲基甲酰胺(DMF)、DMSO-H2O和三元体系DMSO-DMF-H2O在不同组成时的饱和蒸气压数据。用NRTL模型对二元数据进行了关联,用关联得到的二元模型参数计算了三元体系的饱和蒸气压数据,理论计算与实验值符合良好。利用NRTL模型预测了DMF占DMSO质量分数分别为1%、5%、10%时DMSO-DMF-H2O三元体系的常压汽液平衡数据。结果表明,少量DMF的加入对DMSO-H2O体系的汽液平衡影响较小,基本不影响DMSO-H2O的精馏分离效果,因此DMF有望作为一种良好的稳定剂用于DMSO-H2O精馏分离。     

甲胺与水多元系常压汽液平衡研究

用新型泵式沸点仪测定了常压下一甲胺-二甲胺-三甲胺-水四元系在不同液相组成时的沸点;由所测的甲胺-水二元系数据,用过量自由焓Q函数间接法推算了与之平衡的汽相组成,再用最小二乘法求出甲胺与水间二元体系的液相活度系数模型参数：甲胺与甲胺间二元体系的液相活度系数模型参数则通过拟合它们与水构成的三元系获取;由所得的最佳二元系参数用于该体系四元系汽液相平衡数据的预测,将计算的泡点与实验测得的沸点作了比较,结果表明两者吻合良好。     

丙烷-乙醇-水体系相平衡研究

提出了改进的DDLC-MH(81)状态方程,用于丙烷-乙醇-水体系二元汽液平衡数据的关联计算,其模型参数与温度有良好的线性关系.并用汽相循环法测定了该体系在不同温度下的二元及三元VLE数据,结果与模型的推算值取得良好的一致.并用模型预测了超临界丙烷条件下的三元相平衡数据.结果表明,在液相乙醇浓度高于0.2的情况下,超临界丙烷比超临界二氧化碳有更高的乙醇溶解度和选择性.     

似化学局部组成模型及其应用

以Guggenheim似化学关系为基础,采用微扰理论的方法推导得到符合单流体模型的局部组成表达式,得到了非电解质溶液的Wohl型活度系数模型,通过二元体系汽液平衡数据回归得到了烷烃、芳香烃、酮、醇、水等5类物质各基团的作用参数,对三元体系汽液平衡的预测结果表明该模型预测性能优于UNIFAC.     

局部组成模型的研究（Ⅱ）：似化学局部组成的基团模型

本文在前文的分子模型基础上,提出了似化学局部组成的基团模型,可用于极性分子混合物申组分活度系数的预测。该模型划分基团的方法与UNIFAC不同,将极性分子划分为非极性基团。通过对90个二元体系的回归,得到了烷烃、芳烃、醇、酮、水五类物质9种基团间的相互作用参数;通过对三元体系活度系数和液液平衡结线的推算表明,本模型与UNIFAC模型相比,具有参数少、预测性能好等优点,而且从汽液平衡数据回归的参数可用于预测液液平衡。