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P–ρ–T Data and Derived Volumetric Properties of Benzyl Alcohol, ±2-Octanol (Racemic Mixture), and 1-Heptanol from 283.15 to 363.15 K at Pressures up to 65 MPa 苄醇、±2-辛醇(外消旋混合物)和 1-庚醇在 283.15 至 363.15 K、压力高达 65 兆帕时的 P-ρ-T 数据和推导体积特性
IF 2.6 3区 工程技术 Q2 Chemical Engineering Pub Date : 2024-03-19 DOI: 10.1021/acs.jced.3c00698
José J. Trejo-López, David Guerrero-Zárate, Alejandro Estrada-Baltazar and Gustavo A. Iglesias- Silva*, 

In this work, we present new density measurements of benzyl alcohol and 1-heptanol from 283.15 to 363.15 K up to 65 MPa and ±2-octanol from 283.15 to 358.15 K up to 50 MPa. The density was obtained using a vibrating tube densimeter employing the Forced Path Mechanical Calibration method. The combined standard density uncertainty is 0.00035 g·cm–3 for benzyl alcohol and 1-heptanol, while for ±2-octanol (racemic mixture), it is 0.00045 g·cm–3. The density data are correlated with a multiparametric equation of state explicit in the compressibility factor. We have correlated the density with the equation of state within an average absolute percentage deviation of (0.058, 0.085, and 0.077) % for benzyl alcohol, ±2-octanol, and 1-heptanol, respectively. Isobaric expansibility and isothermal compressibility are calculated from the multiparametric equation within an average absolute percentage deviation of 6% from values reported in the literature.

在这项工作中,我们展示了苯甲醇和 1- 庚醇在 283.15 至 363.15 K、65 MPa 以及 ±2- 辛醇在 283.15 至 358.15 K、50 MPa 下的新密度测定结果。密度是使用振动管密度计,采用强制路径机械校准法获得的。苯甲醇和 1-庚醇的综合标准密度不确定性为 0.00035 g-cm-3,而 ±2-辛醇(外消旋混合物)的综合标准密度不确定性为 0.00045 g-cm-3。密度数据与明确包含压缩系数的多参数状态方程相关联。我们将苯甲醇、±2-辛醇和 1-庚醇的密度与状态方程相关联,其平均绝对百分比偏差分别为(0.058、0.085 和 0.077)%。等压膨胀率和等温压缩率是根据多参数方程计算得出的,与文献报道值的平均绝对百分比偏差不超过 6%。
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引用次数: 0
Thermodynamic Behavior of the (Methylcyclopentane + Ethyl Acetate) Binary Liquid Mixture: Density at Several Temperatures and Vapor–Liquid Equilibrium at 25, 50, and 101.3 kPa 甲基环戊烷 + 乙酸乙酯)二元液体混合物的热力学行为:不同温度下的密度以及 25、50 和 101.3 kPa 下的气液平衡
IF 2.6 3区 工程技术 Q2 Chemical Engineering Pub Date : 2024-03-19 DOI: 10.1021/acs.jced.4c00013
Kaoutar Berkalou, Vincent Caqueret, Gabriela Zanghelini and Stéphane Vitu*, 

The density and isobaric phase equilibria of the binary system methylcyclopentane + ethyl acetate were investigated for the first time in this work. The density of the system was measured at 101 kPa from 288.15 to 308.15 K for the entire composition range thanks to a vibrating tube densimeter. Positive excess molar volumes were observed and correlated by using a Redlich–Kister equation. New isobaric vapor–liquid equilibrium data for the system methylcyclopentane + ethyl acetate were measured by means of a recirculation ebulliometer. The phase equilibrium was measured at 25, 50, and 101.3 kPa. Equilibrium compositions were determined indirectly from density measurements of the liquid and condensed vapor phases. Some additional density and vapor–liquid equilibrium data measurements for the binary system ethyl acetate + methylcyclohexane were performed for comparison with previously published results and validation of the experimental protocol. The methylcyclopentane + ethyl acetate binary mixture displays pronounced positive deviations from ideality and a positive azeotrope. Three thermodynamic consistency tests were employed to validate the produced data set. The reported data were successfully correlated by the NRTL model, and the modified UNIFAC predictive model was also used. UNIFAC provides a very good description of the phase behavior at 101.3 kPa, whereas predictions are less accurate at low pressures (25 and 50 kPa).

本研究首次研究了甲基环戊烷 + 乙酸乙酯二元体系的密度和等压相平衡。在整个成分范围内,使用振动管密度计在 101 kPa(288.15 至 308.15 K)的条件下测量了该体系的密度。通过使用 Redlich-Kister 方程,观测到了正过量摩尔体积,并与之相关联。通过循环埃布尔计测量了甲基环戊烷 + 乙酸乙酯系统的新等压气液平衡数据。相平衡是在 25、50 和 101.3 千帕时测量的。通过对液相和冷凝气相的密度测定,间接确定了平衡成分。为了与之前公布的结果进行比较并验证实验方案,还对乙酸乙酯 + 甲基环己烷二元体系进行了一些额外的密度和汽液平衡数据测量。甲基环戊烷 + 乙酸乙酯二元混合物显示出明显的正偏离理想状态和正共沸物。采用了三种热力学一致性测试来验证所生成的数据集。报告的数据成功地与 NRTL 模型相关联,同时还使用了修改后的 UNIFAC 预测模型。UNIFAC 很好地描述了 101.3 kPa 时的相行为,而在低压(25 和 50 kPa)下的预测则不太准确。
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引用次数: 0
Pure Compound Self-Diffusivity Correlation With Residual Entropy 纯化合物自扩散率与残余熵的相关性
IF 2.694 3区 工程技术 Q2 Chemical Engineering Pub Date : 2024-03-19 DOI: 10.1021/acs.jced.4c00033
J. Richard Elliott
Two models of self-diffusivity in terms residual entropy have been proposed in the literature. A generalized residual entropy model is proposed here by merging aspects of these two models. The generalized model enables inference of interaction and scaling effects by probing the significance of related terms when minimizing deviations of each model relative to experimental data. As a result, the interaction effect between residual entropy and temperature is found to be negligible using a database of 688 experimental measurements for 13 n-alkanes. Similarly, scaling analysis disfavors the “Rosenfeld” scaling. Instead, the scaling proposed by Dzugutov is favored. While implementing these two simplifications, the reduced 3-parameter model is shown to provide improved accuracy relative to the previous 6-parameter model. On the other hand, comparison to a previously proposed 2-parameter self-diffusivity model shows that the 2-parameter model provides practically the equivalent accuracy to the 3-parameter model. The 2-parameter model does not apply the principle of residual entropy. Instead, it applies a corresponding states approach, where a model is fit to the self-diffusivity of the Lennard-Jones model potential and Lennard-Jones parameters are treated as adjustable parameters. By considering accuracy relative to the number of parameters, the 2-parameter and 3-parameter models are deemed equally acceptable. The root-mean-square logarithmic deviation for the 2-parameter model is 7.5% compared to 6.9% for the 3-parameter model and 10.2% for the 6-parameter model. An open-source database of experimental measurements for 34 compounds at 1685 state points is used in all evaluations. The analysis here is limited to nonassociating compounds. The mean average percentage error was less than 5% for all three models.
文献中提出了两种以残余熵表示的自扩散模型。本文通过合并这两种模型的各个方面,提出了一种广义的残差熵模型。该广义模型可以在最小化每个模型相对于实验数据的偏差时,通过探测相关项的重要性来推断交互作用和比例效应。因此,通过对 13 种正构烷烃进行 688 次实验测量,发现残余熵和温度之间的相互作用效应可以忽略不计。同样,缩放分析也不赞成 "Rosenfeld "缩放。相反,Dzugutov 提出的比例更受青睐。在实施这两项简化的同时,缩小的 3 参数模型与之前的 6 参数模型相比,精度有所提高。另一方面,与之前提出的 2 参数自扩散模型进行比较后发现,2 参数模型的精度实际上与 3 参数模型相当。2 参数模型没有采用残余熵原理。相反,它采用了一种相应状态方法,即对伦纳德-琼斯模型势的自扩散性拟合一个模型,并将伦纳德-琼斯参数视为可调参数。通过考虑相对于参数数量的精确度,2 参数模型和 3 参数模型被认为同样可以接受。2 参数模型的均方根对数偏差为 7.5%,而 3 参数模型为 6.9%,6 参数模型为 10.2%。所有评估都使用了一个开源数据库,其中包含 34 种化合物在 1685 个状态点的实验测量结果。这里的分析仅限于非关联化合物。所有三种模型的平均百分比误差均小于 5%。
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引用次数: 0
Solubility Determination and Thermodynamic Model Analysis of Esculetin in Different Solvents from 273.15 to 318.15 K 开氏 273.15 至 318.15 度不同溶剂中依库赖氨酸的溶解度测定和热力学模型分析
IF 2.6 3区 工程技术 Q2 Chemical Engineering Pub Date : 2024-03-15 DOI: 10.1021/acs.jced.3c00771
Cheng Yang, Haijun Yan, Qianhe Huang, Wenge Yang* and Yonghong Hu*, 

Esculetin is derived from the leaves of lemons of Rutaceae and the bark of bittersweet ash, belladonna, mandala, and Rehmannia plants. In this research, the solubility of esculetin in ten solvents such as ethyl acetate, isobutyl alcohol, water, methanol, acetonitrile, n-propyl alcohol, isopropyl alcohol, n-butanol, ethanol, and acetone was determined by utilizing static equilibrium-high performance liquid chromatography (HPLC) under standard atmospheric pressure conditions and temperatures in the range of 273.15 to 318.15 K. Among the above ten pure solvents, water displayed the least solubility, while methanol exhibited the highest solubility. At the same temperature (T = 273.15 ∼ 318.15 K), the solubility of esculetin increased with the increase of the molar ratio of soluble solvents. Similarly, when the temperature increases (T = 273.15 ∼ 318.15 K), the solubility of the three binary solvents increases under the condition of a constant molar ratio. The above results suggest that the main factor affecting the solubility of esculetin in the solvent may be the polarization/bipolarity of the solvent. The experimental data was fitted by five thermodynamic models (the Buchowski–Ksiazaczak λh model, the Modified Apelblat model, the Jouyban–Acree model, the SUN model, and the CNIBS/R-K model), and the relative average deviation and root-mean-square deviation of the data were calculated, which proved that the correlation of the solubility data and the five models was relatively good. XRD and DSC were used to detect the crystal form and stability of esculetin during the experiment.

埃斯库莱廷提取自芸香科植物柠檬的叶子以及苦艾、颠茄、曼陀罗和地黄等植物的树皮。本研究采用静态平衡高效液相色谱法(HPLC),在标准大气压条件和 273.15 至 318.15 K 的温度范围内测定了鱼藤素在醋酸乙酯、异丁醇、水、甲醇、乙腈、正丙醇、异丙醇、正丁醇、乙醇和丙酮等十种溶剂中的溶解度。在上述十种纯溶剂中,水的溶解度最低,而甲醇的溶解度最高。在相同温度下(T = 273.15 ∼ 318.15 K),随着可溶性溶剂摩尔比的增加,鱼藤素的溶解度也随之增加。同样,当温度升高时(T = 273.15 ∼ 318.15 K),在摩尔比不变的条件下,三种二元溶剂的溶解度也会增加。上述结果表明,影响鱼藤素在溶剂中溶解度的主要因素可能是溶剂的极化/双极性。用五种热力学模型(Buchowski-Ksiazaczak λh模型、Modified Apelblat模型、Jouyban-Acree模型、SUN模型和CNIBS/R-K模型)对实验数据进行拟合,计算了数据的相对平均偏差和均方根偏差,证明溶解度数据与五种模型的相关性较好。在实验过程中,采用 XRD 和 DSC 检测了鱼藤酮的晶体形态和稳定性。
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引用次数: 0
Solubility Testing of the Five-Component KNO3 + NH4NO3 + KVO3 + NH4VO3 + H2O System at Temperatures of 293.15 and 313.15 K 五组分 KNO3 + NH4NO3 + KVO3 + NH4VO3 + H2O 体系在 293.15 和 313.15 K 温度下的溶解度测试
IF 2.6 3区 工程技术 Q2 Chemical Engineering Pub Date : 2024-03-15 DOI: 10.1021/acs.jced.3c00663
Adriana Wróbel-Kaszanek*, Sebastian Drużyński, Urszula Kiełkowska and Krzysztof Mazurek, 

This article presents the results of equilibrium tests regarding the development of a new waste-free technology for converting ammonium nitrate(V) to potassium nitrate(V) using potassium metavanadate. To establish the best conditions for disposing of postfiltration liquor from the soda-chlorine-saltpeter (SCS) production process, a detailed analysis of the isotherm in the five-component system KNO3 + NH4NO3 + KVO3 + NH4VO3 + H2O was required. Equilibrium tests were carried out by isothermal saturation of solutions method at temperatures of 293.15 and 313.15 K. The results obtained were used to plot solubility isotherms using the Jänecke method. The maximum conversion efficiencies of ammonium nitrate(V) to ammonium metavanadate are 97.53% at T = 293.15 K and 98.69% at T = 313.15 K based on the data for the triple point P1. These results, along with literature data, were used to prepare a material balance for the proposed technological concept for the disposal of postfiltration liquor using the SCS method.

本文介绍了利用偏钒酸钾将硝酸铵(V)转化为硝酸钾(V)的新型无废物技术的平衡测试结果。为了确定处理苏打-氯-盐硝石(SCS)生产过程中过滤后液体的最佳条件,需要对 KNO3 + NH4NO3 + KVO3 + NH4VO3 + H2O 五组分体系的等温线进行详细分析。采用等温饱和溶液法在 293.15 和 313.15 K 温度下进行了平衡测试。根据三重点 P1 的数据,硝酸铵(V)到偏钒酸铵的最大转化效率在 T = 293.15 K 时为 97.53%,在 T = 313.15 K 时为 98.69%。这些结果与文献数据一起,被用于编制采用 SCS 方法处理滤后液的拟议技术概念的物料平衡表。
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引用次数: 0
Interactions between Ethyl Lactate and Substituted Ethanols or Ethyl Acetate: Thermodynamic, FT-IR Spectroscopic, DFT Method, and PC-SAFT EoS Studies 乳酸乙酯与取代乙醇或乙酸乙酯之间的相互作用:热力学、傅立叶变换红外光谱、DFT 方法和 PC-SAFT EoS 研究
IF 2.6 3区 工程技术 Q2 Chemical Engineering Pub Date : 2024-03-15 DOI: 10.1021/acs.jced.3c00344
Tammisetty Ankaiah, Sreenivasulu Karlapudi, Shaik Nagulshareef, Sridhar Battuluri, Doupati Bala Karuna Kumar, Kasibhatta Siva Kumar, Indra Bahadur*, Ariel Hernández, Faruq Mohammad, Ahmed Abdullah Soleiman and Neelam Yugandhar Sreedhar*, 

In the present study, measurements of the experimental density (ρ), speed of sound (c), and refractive index (nD) of binary liquid mixtures of ethyl lactate (EL) with 2-aminoethanol (2-AE), 2-chloroethanol (2-CE), and ethyl acetate (EA) have been carried out within the temperature range from 298.15 to 323.15 K with an interval of 5 K and at 0.1 MPa. Excess volume (VE), isentropic compressibility (ks), excess isentropic compressibility (ksE), and excess refractive index (nDE) for the above liquid mixtures were calculated from the experimental measurements and they were correlated with the Redlich–Kister equation. Also, we obtained good fitting results in the computation of the density with perturbed chain statistical associating fluid theory equation of state and predictive results in the computation of the refractive index and speed of sound with several mixing rules and Nomoto’s relation, respectively. Further, we measured the Fourier-transform infrared (FT-IR) spectral data of pure liquids and their mixtures at different concentrations and simulated the molecular interactions using density functional theory (DFT) calculations for the 3 sets of binary systems with the ADF 2020.102 package at the GGA BP86-D3 level of theory with TZP. Apart from these, the type and nature of molecular interactions and structural effects were studied between the component molecules with the aid of excess thermodynamic properties, FT-IR measurements, and DFT calculations.

本研究测量了乳酸乙酯(EL)与 2-氨基乙醇(2-AE)、2-氯乙醇(2-CE)和乙酸乙酯(EA)的二元液体混合物的实验密度(ρ)、声速(c)和折射率(nD),温度范围为 298.15 至 323.15 K,间隔为 5 K,压力为 0.1 MPa。根据实验测量结果计算出了上述液体混合物的过量体积(VE)、等熵压缩率(ks)、过量等熵压缩率(ksE)和过量折射率(nDE),并将它们与 Redlich-Kister 方程进行了关联。此外,我们还利用扰动链统计关联流体理论状态方程计算了密度,获得了良好的拟合结果,并利用几种混合规则和 Nomoto 关系分别计算了折射率和声速,获得了预测结果。此外,我们还测量了纯液体及其混合物在不同浓度下的傅立叶变换红外光谱数据,并使用 ADF 2020.102 软件包在 GGA BP86-D3 理论水平上用 TZP 模拟了三组二元体系的分子相互作用。除此之外,还借助过量热力学性质、傅立叶变换红外测量和 DFT 计算,研究了各组分分子之间分子相互作用的类型和性质以及结构效应。
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引用次数: 0
Enthalpies of Formation of Bistetrazole Dioxides in the Question: Computer Simulation for the Answer 问题中的双四唑二氧化物的形成焓:答案的计算机模拟
IF 2.6 3区 工程技术 Q2 Chemical Engineering Pub Date : 2024-03-14 DOI: 10.1021/acs.jced.4c00026
Dmitry V. Khakimov*, Leonid L. Fershtat* and Tatyana S. Pivina, 

The thermochemical characteristics of bistetrazole dioxide salts with 7 cations were calculated for various arrangements (1.1; 1.2, and 2.2) of N-oxide groups. The volume-based thermodynamics method, the additive method (Method of Adding of Ions Contributions), and the method for determining the enthalpy of salt formation by mixing the ionic and neutral components of enthalpy (MICCM) were used, the latter of which is in good agreement with the experimental data and gives the best calculated results compared to other methods known in the literature. For an additive approach to estimating the enthalpies of salt formation, the corresponding contributions of anions have been developed, which enables a significant expansion of the range of salts currently available for calculations. The methods of quantum chemistry and atom–atom potentials were used to simulate the crystal lattices of individual compounds and cocrystals in the 11 most frequently implemented space groups for subsequent use of these results in calculations by the MICCM method. Possible previously unknown polymorphic structures of bistetrazole dioxide salts are predicted.

计算了含有 7 个阳离子的双环四氮唑盐的热化学特性,N-氧化基的排列方式有多种(1.1、1.2 和 2.2)。采用了基于体积的热力学方法、加成法(离子贡献加成法)以及通过混合离子焓和中性焓成分确定盐形成焓的方法(MICCM),后者与实验数据十分吻合,与文献中已知的其他方法相比,计算结果最好。为了采用加法估算盐的形成焓,还开发了阴离子的相应贡献,这使得目前可用于计算的盐的范围大大扩展。量子化学和原子-原子势的方法被用来模拟 11 个最常用空间群中单个化合物和共晶体的晶格,以便随后将这些结果用于 MICCM 方法的计算。预测了以前未知的二氧化双四唑盐的多晶体结构。
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引用次数: 0
Crystal Structures and Binary Molten Solid–Liquid Equilibria of tert-Butylmethylphenol Isomers 叔丁基甲基苯酚异构体的晶体结构和二元熔融固液平衡
IF 2.6 3区 工程技术 Q2 Chemical Engineering Pub Date : 2024-03-14 DOI: 10.1021/acs.jced.4c00031
Haifang Mao, Huimin Xing, Lu Xu, Jibo Liu, Pingyi Zhang, Gui Zhang, Qizhong Zhang and Miaomiao Jin*, 

Single crystals of 2-tert-butyl-5-methylphenol anhydrate and 2-tert-butyl-5-methylphenol quarterhydrate were prepared and presented for the first time in this work. The structures were characterized by single-crystal X-ray diffraction and DSC analysis. The solid–liquid equilibrium (SLE) for 2-tert-butyl-4-methylphenol with 2-tert-butyl-5-methylphenol anhydrate or 2-tert-butyl-5-methylphenol quarterhydrate was studied by the cooling–heating recycling method using a synthetic visual technique at atmospheric pressure (101.6 ± 1.2 kPa). The experimental SLE data for the two binary systems were reported, and both systems showed simple eutectic behavior. The SLE data were further correlated by Wilson and NRTL (nonrandom two-liquid) models, and the optimally fitted parameters of the two systems were presented. Computational studies on geometric optimization and energy calculation were performed using density functional theory, and the lower energy configuration of 2-tert-butyl-5-methylphenol quarterhydrate could explain the spontaneous incorporation of water in the anhydrous form. These novel data provide valuable information in designing and optimizing the melt crystallization process of tert-butylmethylphenol isomers.

本研究首次制备并展示了 2-叔丁基-5-甲基苯酚水合物和 2-叔丁基-5-甲基苯酚四分之一水合物的单晶。通过单晶 X 射线衍射和 DSC 分析对其结构进行了表征。在常压(101.6 ± 1.2 kPa)条件下,采用合成目视技术,通过冷却-加热循环法研究了 2-叔丁基-4-甲基苯酚与 2-叔丁基-5-甲基苯酚二水合物或 2-叔丁基-5-甲基苯酚四水合物的固液平衡(SLE)。报告了两种二元体系的 SLE 实验数据,两种体系均表现出简单的共晶行为。通过 Wilson 和 NRTL(非随机双液)模型对 SLE 数据进行了进一步关联,并给出了这两个体系的最佳拟合参数。利用密度泛函理论对几何优化和能量计算进行了研究,2-叔丁基-5-甲基苯酚四水合物的较低能量构型可以解释水在无水形式中的自发掺入。这些新数据为设计和优化叔丁基甲基苯酚异构体的熔融结晶过程提供了有价值的信息。
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引用次数: 0
Preface to the PPEPPD 2023 Virtual Special Issue PPEPPD 2023 虚拟特刊序言
IF 2.6 3区 工程技术 Q2 Chemical Engineering Pub Date : 2024-03-14 DOI: 10.1021/acs.jced.4c00103
J. Ilja Siepmann, 
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引用次数: 0
Thermodynamic Study of Ionic Liquids 1-Hexyl-3-methylimidazolium Halide with Methanol Mixtures 离子液体 1-己基-3-甲基咪唑卤化物与甲醇混合物的热力学研究
IF 2.694 3区 工程技术 Q2 Chemical Engineering Pub Date : 2024-03-12 DOI: 10.1021/acs.jced.3c00707
Zhida Zuo, Bei Cao, Linghong Lu, Xiaohua Lu, Xiaoyan Ji
To investigate the effects of anion size, solvent content, and temperature on their physical properties, in this work, densities and viscosities of three binary mixtures, including ionic liquids (ILs) composed of the cation 1-hexyl-3-methylimidazolium (i.e., [C6mim]+) and the halide anions (i.e., Cl, Br, and I), along with methanol (MeOH), were measured across the entire concentration range at temperatures from 288.15 to 323.15 K, and enthalpies of mixing were determined at temperatures of 298.15 and 308.15 K. Excess volumes and viscosity deviations were calculated to study the nonideal behavior of the mixtures. The results of excess volumes suggest that a combination of intermolecular interactions and packing effects contributes to their nonideal behaviors, with packing effects likely dominating the negative excess volume. Viscosity deviations and enthalpies of mixing indicate that MeOH molecules intend to coordinate with IL ions (IL cations and IL anions) in the IL-rich region, with stronger interactions observed between [C6mim]Cl and MeOH compared to ([C6mim]Br + MeOH) and ([C6mim]I + MeOH) mixtures. Additionally, the nonrandom two-liquid model and the Gibbs–Helmholtz equation were combined to describe the enthalpies of mixing for the studied mixtures reliably.
为了研究阴离子大小、溶剂含量和温度对其物理性质的影响,在这项工作中,测量了三种二元混合物的密度和粘度,其中包括由阳离子 1-己基-3-甲基咪唑(即 [C6mim]+)和卤化物阴离子(即 Cl-、Br- 和 I-)以及甲醇(MeOH)组成的离子液体(ILs)、在 298.15 和 308.15 K 的温度下,测量了整个浓度范围内 1-己基-3-甲基咪唑鎓阳离子(即 [C6mim]+)和卤化物阴离子(即 Cl-、Br- 和 I-)以及甲醇(MeOH)的含量,并测定了混合焓。过剩体积的结果表明,分子间的相互作用和堆积效应共同导致了混合物的非理想行为,其中堆积效应可能主导了负过剩体积。粘度偏差和混合焓表明,MeOH 分子有意在富含 IL 的区域与 IL 离子(IL 阳离子和 IL 阴离子)配位,与([C6mim]Br + MeOH)和([C6mim]I + MeOH)混合物相比,[C6mim]Cl 和 MeOH 之间的相互作用更强。此外,非随机双液模型和吉布斯-赫尔姆霍兹方程相结合,可靠地描述了所研究混合物的混合焓。
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引用次数: 0
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