液—固吸附体系中计量置换吸附模型的热力学研究

研究了液－固吸附体系中溶质计量置换吸附过程中的自由能变，推导出了新的表示溶质种类、溶质浓度和溶剂对Ｇｉｂｂｓ自由能变贡献的数学表达式，并阐明了该表达式中各种参数的物理意义。将用通常方法测定的自由能变分为与溶质吸附和溶剂解吸附有关的两个独立的自由能变，推导出了液－固吸附体系中溶质计量置换吸附模型的两个线性参数βａ和ｑ／Ｚ对绝对温度倒数的线性关系，又将吸附过程中溶质的焓变和熵变分成两个独立的分量。用…     

反相高效液相色谱中溶质保留过程的热力学研究 Ⅱ. 焓变及其分量, 吸附及解吸附焓变

依据液相色谱中溶质计量置换保留模型,从理论上分别推导出了在反相高效液相色谱(RP-HPLC)中lgI(与1mol溶质对固定相的亲合势有关的常数)和Z(对应于1mol溶质被固定相吸附时释放出置换剂的摩尔数)对绝对温度导数的线性关系式发现非极性与极性小分子溶质的lgI和Z均具有热力学平衡常数的特征.如在前报报告的吉布斯自由能变一样,也推导出了可将溶质保留过程中的总吸附焓变△H_(Pa)分成两个独立的分量,吸附焓变面△H_(I,a)和解吸附焓变△H_(Z,D)的表达式.可同时对在流动相中不同置换剂浓度条件下的△H_(Pa)和△H_(Z,D)进行估算,并与实验值进行了比较,偏差小于±10%并用面△H_(I,a)和△H_(Z.D)值对溶质在RP-HPLC的保留过程中热变化进行了解释.     

液-固吸附体系中扩展的Langmuir方程的推导和检验

从气-固吸附体系中推导出的Langmuir方程,近一世纪来只能经验性地描述液相吸附。本研究以液-固界面上的溶质计量置换模型为基础,考虑到液-固吸附体系中各组分之间的相互作用,从理论上推导出了在液-固体系中描述在不同溶剂浓度条件下的溶质吸附的扩展的Langmuir公式,并称其为扩展的Langmuir公式。将Langmuir公式中经验参数与液相色谱中的计量置换平衡中的参相关联,还将其扩展到在不同溶剂浓度条件下的溶质定量吸附的描述,为Langmuir方程在描述不同溶剂浓度条件下的组分吸附奠定了理论基础,扩大了Langmuir公式的应用。以不同溶剂浓度条件下所得到的吸附等温线数据对理论推导出的扩展的Langmuir公式进行了验证,并与计算置平衡中的参数相关联,表现用吸附等温线法计算的计量置换参数Z与用高效液相色谱法得到的Z值符合程度很好。     

反相高效液相色谱中溶质保留过程的热力学研究Ⅲ: 熵变及其分量,吸附及解吸附熵变

从理论上推导出了用柱相比和不用柱相比时溶质在反相高效液相色谱保留过程中的总熵变△S(Pa)的两个表达式,后者亦为计量置换保留模型中线性参数与该过程热力学函数间的定量表达式.△S(Pa)也能够被分成两个独立的分量,吸附墒变面△S(I,a)和解吸附熵变△S(Z,D).依据液相色谱中溶质计量置换保留模型中容量因子与流动相中置换剂活度a_D间的定量关系,对在不同a_D条件下溶质的总熵变、吸附及解吸附熵变进行了估算,并用实验测定的总熵变△S(Pa,e)与估算总熵变△S(Pa,c)进行了比较,获得了结果的一致性.本文对传统的“吸附伴随着熵减小,相反,解吸伴随着熵增大”的定性规律予以定量的说明.     

用计量置换吸附模型研究液-固色谱中的溶质保留机理

本文以表面物理化学吸附模式为基础, 推导出液-固色谱中溶质计量置换保留模型. 与其他模型进行比较的结果证明本模型为最佳. 提出用参数j作为区别反相色谱和液-固色谱的判据.     

反相高效液相色谱中溶质保留过程的热力学研究 Ⅱ. 焓变及其分量, 吸附及解吸附焓变

依据液相色谱中溶质计量置换保留模型, 从理论上分别推导出了在反相高效液相色谱(RP-HPLC)中lgI(与1mol溶质对固定相的亲合势有关的常数)和Z(对应于1mol溶质被固定相吸附时释放出置换剂的摩尔数)对绝对温度导数的线性关系式。发现非极性与极性小分子溶质的lgI和Z均具有热力学衡常数的特征。如在前报[1]报告的吉布斯自由能变一样, 也推导出了可将溶质保留过程中的总吸附焓变△H(Pa)分成两个独立的分量, 吸附焓变△(1,a)和解吸附焓变△H(Z,D)的表达式。可同时对在流动相中不同置换剂浓度条件下的△H(Pa)和△(Z,D)进行估算,并与实验值进行了比较, 偏差小于±10%。并用△H(1,a)和△H(Z,D)值对溶质在RP-HPLC的保留过程中热变化进行了解释。     

反相高效液相色谱中溶质保留过程的热力学研究Ⅰ: 柱相比, 吉氏自由能变及其分量, 吸附和解吸附自由能变

从热力学观点给反相高效液相色谱(RP-HPLC)中的相比以新的定义,提出了测定该相比的方法并准确测定了RP—HPLC中溶质计量置换过程中的吉氏自由能变△G_(P_a).发现在RP-HPLC中相比对保留过程中溶质总自由能变的贡献值几乎可与溶质本身的保留值相当.依据液相色谱中溶质计量置换保留模型,将溶质的△G_(P_a)分成与溶质吸附及解吸有关的两项独立的自由能变分量,△G_(I_a)和△G_(Z,D).对不同流动相组成条件下的△G_(P_a)和△G_(Z,D)进行了估算,并与实验结果进行了比较,偏差一般小于±2%.     

反相高效液相色谱中溶质保留过程的热力学研究Ⅲ: 熵变及其分量,吸附及解吸附熵变

从理论上推导出了用柱相比和不用柱相比时溶质在反相高效液相色谱保留过程中的总熵变△S~(~P~a~)的两个表达式, 后者亦为计量置换保留模型中线性参数与该过程热力学函数间的定量表达式。△S~(~P~a~)也能够被分成两个独立的分量,吸附熵变△S~(~Ⅰ~,~a~)和解吸附熵变△S~(~Z~,~D~)。依据液相色谱中溶质计量置换保留模型中容量因子与流动相中置换剂活度a~D间的定量关系, 对在不同a~D条件下熔质的总熵变、吸附及解吸附熵变进行了估算, 并用实验测定的总熵变△S~(~P~a~,~e~)与估算总熵变△S~(~P~a~,~c~)进行了比较, 获得了结果的一致性。本文对传统的"吸附伴随着熵减小, 相反, 解吸伴随着熵增大"的定性规律予以定量的说明。     

用计量置换吸附模型研究液-固色谱中的溶质保留机理

本文以表面物理化学吸附模式为基础,推导出液-固色谱中溶质计量置换保留模型。与其他模型进行比较的结果证明本模型为最佳。提出用参数j作为区别反相色谱和液-固色谱的判据。     

反相高效液相色谱中溶质保留过程的热力学研究Ⅰ: 柱相比, 吉氏自由能变及其分量, 吸附和解吸附自由能变

从热力学观点给反相高效液相色谱(RP-HPLC)中的相比以新的定义, 提出了测定该相比的方法并准确测定了RP-HPLC中溶质计量置换过程中的吉氏自由能变△G~(Pα)。发现在RP-HPLC中相比对保留过程中溶质总自由能变的贡献值几乎可与溶质本身的保留值相当。依据液相色谱中溶质计量置换保留模型。将溶质的△G~(Pα)分成与溶质吸附及解吸有关的两项独立的自由能变分量。△G~(Ⅰ,α)和△G~(Z,D)。对不同流动相组成条件下的△G~(Pα)和△G~(Z,D)进行了估算, 并与实验结果进行了比较, 偏差一般小于±2%。     

Adsorption enthalpy and desorption enthalpy during displacement of adsorbate to solvent in a liquid-solid system

The adsorption heat of the stoichiometric displacement process for the adsorption of a solute in a liquid-solid system was investigated. On the basis of the SDM-A and the rule of the additivity of energy, an expression which describes the dependence of the adsorption enthalpy on the nature and concentration of the solute, and on the solvent and adsorbent, was derived. The adsorption heat determined for the solute with the traditional method can be divided into two independent fractions, relating to the adsorption of the solute and to the desorption of the solvent. Experimental data on both isotherms from the literatures and precise calorimetry were used to test the adsorption heat and its fractions computed quantitatively via the equations presented in this study, and a satisfactory degree of conformity between them was obtained. Supported by the Natural Science Foundation of Shaanxi Province in China.     

A generalized scale of free energy of excess adsorption of solute and absolute composition of the interfacial phase

Moles of a surfactant (gamma2(1)) absorbed per unit area of the solid-liquid interface estimated analytically from the difference of the solute molality in the bulk phase before and after adsorption have been quantitatively related to the absolute compositions deltan1 and deltan2 of the solvent and solute forming the inhomogeneous surface phase in contact with the bulk phase of homogeneous composition. By use of isopiestic experiments, negative values of gamma2(1) for the adsorption of inorganic salts onto a solid-liquid interface have been calculated in the same manner. From the linear plot of gamma2(1) versus the ratio of the bulk mole fractions of the solute and solvent, values of deltan1 and deltan2 have been evaluated under a limited range of concentrations. For the adsorption of the surfactant and the inorganic salt respectively onto the fluid interface, gamma2(1) values have been evaluated from the surface tension concentration data using the Gibbs adsorption equation. Gamma2(1) based on the arbitrary placement of the Gibbs dividing plane near the fluid interface is quantitatively related to the composition of the inhomogeneous surface phase. Also, the Gibbs equation for multicomponent solutions has been appropriately expressed in terms of a suitably derived coefficient m. Integrating the Gibbs adsorption equation for a multicomponent system, the standard free energy change, deltaG degrees, per unit of surface area as a result of the maximum adsorption gamma2(m) of the surfactant at fluid interfaces due to the change of the activity alpha2 of the surfactant in the bulk from zero to unity have been calculated. A similar procedure has been followed for the calculation of deltaG degrees for the surfactant adsorption at solid-liquid interfaces using thermodynamically derived equations. deltaG degrees values for surfactant adsorption for all such systems are found to be negative. General expressions of deltaG degrees for negative adsorption of the salt on fluid and solid-liquid interfaces respectively have also been derived on thermodynamic grounds. deltaG degrees for all such systems are positive due to the excess spontaneous hydration of the interfacial phase in the presence of inorganic salt. Negative and positive values of deltaG degree for excess surfactant and salt adsorption respectively have been discussed in light of a generalized scale of free energy of adsorption.     

硅胶自环己烷溶液中吸附苯甲酸和苯的计量置换吸附模型

在293~313 K温度范围, 研究了硅胶在环己烷溶液中对苯甲酸和苯的吸附. 发现苯甲酸能非常好地服从计量置换吸附模型(SDM-A). 在用SDM-A处理苯的吸附时, 出现折线形的吸附等温线, 折线的转折点正好是单分子层吸附与多分子层吸附的分界点. 基于SDM-A, 研究了吸附热力学, 建立了吸附热力学的计算公式. 发现在环己烷溶液中苯甲酸被硅胶吸附是自发的、放热的熵增大过程, 而苯被吸附是自发的放热的熵减少过程, 苯甲酸的吸附自由能大于苯, 而吸附焓小于苯, 这是因为苯甲酸有更大的亲吸附剂作用和疏溶剂作用的结果.     

Prediction of thermodynamic properties of polymer solutions by a group-contribution method

The Flory–Huggins lattice-theory expression for solvent activity in a polymer-solution is commonly used to calculate the thermodynamic interaction parameter χ with the aid of experimental data from vapor pressure osmometry. This expression assumes that χ is independent of composition. However, experimental data for a variety of polymer-solvent mixtures indicate that χ exhibits an appreciable concentration dependence. A group contribution method, UNIFAC (UNIQUAC Functional-Group Activity Coefficients) incorporating the free-volume correction of Oishi and Prausnitz is used to predict the dependence of χ on solvent concentration. Agreement with previously reported experimental data is within 15%. Calculated values of χ obtained from the Flory–Huggins expression for solvent activity and from the corresponding Gibbs free energy of mixing (which does not assume that χ is independent of composition) are compared. Calculations based on the Gibbs free energy of mixing predict a somewhat larger value of χ relative to those based on solvent activity. The specific Gibbs free energy of mixing for polystyrene-solvent mixtures is calculated using the UNIFAC model, and is found to represent qualitatively the phase equilibrium behavior. Quantitative discrepancies are observed, however, for the polystyrene-acetone system in light of the actual experimental solubility reported by Suh and Clark (20). Most of the thermodynamic predictions for polymer-solvent systems investigated herein are correlated qualitatively with the relative mismatch between solubility parameters of both components.     

Compensation Between the Entropic and Enthalpic Changes Arising from Changes in Solvent–Solvent Interactions in Mixed Solvents

A theorem presented by Professor Ben-Naim (J Phys Chem 82:874–885, 1978) states that the standard state enthalpy and entropy changes arising from changes in the solvent structure that are induced by solvation of a solute cancel exactly in the standard state Gibbs energy. In this paper this is explored by consideration of the thermodynamics of transfer of electrolytes in mixed solvents, using previously developed models of the solvation process. Two cases are considered. One is random solvation, where curvatures in plots of the transfer enthalpies and entropies, which arise from changes in solvent–solvent interactions, exactly compensate in the transfer Gibbs (free) energies, which are sensibly linear with solvent composition. The second type of system are those with strong preferential solvation where it is found that the transfer Gibbs energies can be accounted for quantitatively in terms of changes in the solute–solvent interactions, with no contribution from changes in solvent–solvent interactions. The results are entirely consistent with the Ben-Naim theorem.     

溶剂化的热力学集团展开理论

把二元溶液的过剩内能（excess energy）分成溶剂-溶剂、溶剂-溶质及溶质-溶质相互作用部分。利用集团展开方法给出了二元溶液在正则系综的配分函数的表达式,利用该表达式得到了溶质的偏摩尔内能(partial molar energy)和偏摩尔熵(partial molar entropy)的表达式。在无限稀溶液情形,过剩偏摩尔内能的溶剂-溶剂部分又称重组织内能（reorganization energy）,它反映了溶质存在时对其周围溶剂分子之间的相互作用能的影响。研究表明,在溶质的粒子数密度相对较大时,溶质分子之间的相互作用将影响过剩偏摩尔内能的溶剂-溶剂部分,对于稀溶液,过剩偏摩尔内能的溶剂-溶剂部分与溶质的摩尔分数成线性关系。对低密度二元溶液,溶质的过剩偏摩尔内能和过剩偏摩尔熵也与溶质的摩尔分数成线性关系。     

Invariance of free energy against a shift of the dividing surface of arbitrary geometry

This paper demonstrates that within the context of the generalized theory of capillarity, the free energy remains invariant against an arbitrary shift of the dividing surface for a general surface geometry. The Gibbs adsorption equation is used to illustrate the importance of being able to shift the dividing surface. The mathematical proof makes use of an equation describing the change of free energy for a shift of the dividing surface, derived in an independent development of a hydrostatic approach to capillarity.