Thermodynamics of nanoadsorption from solution: Theoretical and experimental research

In this study, the effect of nanoparticle size on adsorption thermodynamics was investigated. The results of theoretical and experimental studies show that particle size significantly affects the equilibrium constant and thermodynamic properties of nanoadsorption. Relationships between the equilibrium constant, thermodynamic properties and particle size were derived using the thermodynamic theory of nanoadsorption. The equilibrium constant and thermodynamic properties were obtained by investigating the adsorption of Cu²⁺ onto different sizes of nano-ZnO and the adsorption of Ag⁺ onto different sizes of nano-TiO₂. Good agreement was achieved between results obtained by experiments and predicted by theoretical analyses. The equilibrium constant and the molar Gibbs free energy of nanoadsorption were found to increase with smaller nanoparticle size. However, the effects of particle size on the molar enthalpy and the molar entropy are uncertain. In addition, the molar Gibbs free energy, the molar enthalpy, the molar entropy and the logarithm of the equilibrium constant are linearly related to the reciprocal of the diameter of the nanoparticle. The thermodynamic properties revealed in this study may provide important guidelines for research and application in the field of nanoadsorption.     

Effects of sizes of nano-copper oxide on the equilibrium constant and thermodynamic properties for the reaction in nanosystem

Thermodynamic properties and equilibrium constant of reaction in nanosystems were analyzed theoretically. The effects of sizes of nano-CuO on thermodynamic properties and equilibrium constant were studied using the reaction of nano-copper oxide and sodium bisulfate as a system. The experimental results indicate that with the sizes of reactant decreasing, the molar Gibbs free energy (Δ_rG_m), the molar enthalpy (Δ_rH_m) and the molar entropy (Δ_rS_m) decrease, but the equilibrium constant (K) increases and there are linear trends between the reciprocal of sizes for nano-CuO and the values of Δ_rG_m, Δ_rH_m, Δ_rS_m and Ln K, which are in agreement with the theoretical analysis.     

粒度对纳米体系化学反应热力学性质的影响

为了研究纳米粒子的粒度对化学反应热力学性质的影响规律, 以球形原子簇来模拟纳米金刚石颗粒, 用量子化学方法对粒度不同的金刚石纳米粒子与氧气反应的热力学性质进行了计算. 结果表明, 粒度对多相反应的标准摩尔反应焓△rH0m、标准摩尔反应熵△rS0m、标准摩尔反应吉布斯函数△rG0m和标准平衡常数K0均有明显的影响, 随着反应物粒径的减小, △rH0m、△rS0m和△rG0m均降低,而K0增大. 这些影响规律与实验结果基本一致.     

Calculation of thermodynamic properties of species of biochemical reactants using the inverse Legendre transform

The determination of apparent equilibrium constants and heats of enzyme-catalyzed reactions provides a way to determine Delta(f)G degrees and Delta(f)H degrees of species of biochemical reactants. These calculations are more difficult than the calculation of transformed thermodynamic properties from species properties, and they are an application of the inverse Legendre transform. The Delta(f)G degrees values of species of a reactant can be calculated from an apparent equilibrium constant if the Delta(f)G degrees values are known for all the species of all the other reactants and the pKs of the reactant of interest are known. The Delta(f)H degrees of species of a reactant can be calculated from the heat of reaction if the Delta(f)H degrees values are known for all species of the other reactants and Delta(f)G degrees values are known for all species in the reaction. The standard enthalpies of acid dissociation of the reactant of interest are also needed. The inverse Legendre transformation is accomplished by using computer programs to set up the simultaneous equations that involve the Delta(f)H degrees of the species and solving them. Thirty two new species matrixes providing Delta(f)G degrees values and eight new species matrixes providing Delta(f)H degrees values are calculated. It is the specificity and speed of enzyme-catalyzed reactions that make it possible to determine standard thermodynamic properties of complicated species in aqueous solution that could never have been obtained classically.     

Stochastic simulation of reactive separations in capillary electrophoresis

A stochastic (Monte Carlo) simulation is used to investigate thermodynamic and kinetic contributions from the reversible A <--> B reaction in capillary electrophoresis (CE). The effects of equilibrium constant, rate constant, and electrophoretic mobility on the molecular zone profiles and the corresponding statistical moments are evaluated. As the reaction approaches steady state, the velocity of the zone is governed by the equilibrium constant and the electrophoretic mobilities of the reacting molecules. When the equilibrium constant is less than unity, the mean zone velocity is more similar to that of the reactant A. Conversely, when the equilibrium constant is greater than unity, the velocity is more similar to that of the product B. The extent of zone-broadening and asymmetry at steady state is dependent upon the equilibrium constant, the characteristic reaction lifetime, and the electrophoretic mobility difference between reacting molecules. If all other parameters are held constant, the plate height is greatest and skew is least when the equilibrium constant is unity. The plate height increases linearly with the characteristic reaction lifetime and electrophoretic mobility difference, whereas the skew is independent of these parameters. These conclusions have important implications for the elucidation of thermodynamic and kinetic information from experimental data.     

异丁烷脱氢制异丁烯体系的热力学分析

对等温反应条件下的异丁烷脱氢制异丁烯反应进行了热力学分析,以获得等温反应条件下,压力和温度或其他反应条件与异丁烷脱氢反应的自由能ΔrG与热焓值ΔrH之间的关系。考察了不同反应条件(压力、温度和进料方式等)对于异丁烷脱氢反应的转化率的影响,为今后异丁烷脱氢制异丁烯工艺的开发提供热力学基础数据的支持。     

立方体纳米Cu2O吸附热力学及动力学的粒度效应研究

采用不同粒径的单一(100)晶面的立方体纳米Cu₂O作为模型材料, 研究了粒径和温度对其吸附动力学和吸附热力学性质的影响规律. 基于已建立的纳米材料吸附热力学和动力学理论, 推导出了单一(100)晶面立方体纳米Cu₂O材料的吸附热力学和吸附动力学性质与粒径之间的关系式. 实验结果与理论预测结果一致: 随着纳米Cu₂O粒径的减小, 吸附速率常数增大而吸附活化能和吸附指前因子减小; 标准摩尔吸附Gibbs自由能 Δ_a $G^{\rlap{-}0}_{m}$减小而标准吸附平衡常数ln $K^{\rlap{-}0}$、 标准摩尔吸附焓 Δ_a $H^{\rlap{-}0}_{m}$和标准摩尔吸附熵 Δ_a$S^{\rlap{-}0}_{m}$均增大, 且以上参数均与粒度的倒数具有较好的线性关系.     

尺寸效应对氧化锌微/纳体系热力学性质的影响

采用微乳液水热辅助法合成了三种不同尺寸的手榴弹状ZnO 微/纳结构. 通过设计热化学循环, 建立了纳米ZnO与块体ZnO体系热力学性质之间的关系. 并结合微量热技术对不同尺寸ZnO微/纳体系的热力学性质进行了计算. 结果表明, 尺寸效应对微/纳体系热力学性质有显著的影响: 随着反应物尺度的减小, 体系的标准摩尔反应焓、标准摩尔反应Gibbs 自由能、标准摩尔反应熵均降低, 而材料自身的标准摩尔生成焓、标准摩尔生成Gibbs 自由能、标准摩尔熵均增加.     

Preparation of Nano‐bismuth with Different Particle Sizes and the Size Dependent Electrochemical Thermodynamics

Nano‐bismuth has excellent electrochemical properties. However, it is still unclear how the particle size of nano‐bismuth influences its electrochemical thermodynamic properties. In this paper, spherical bismuth nanoparticles with different particle sizes were prepared by solvothermal method; the electrode potentials, the temperature coefficients of the electrode potentials and the thermodynamic functions of reaction for nano‐bismuth electrodes with different particle sizes at different temperatures were determined; and the effects of particle size on the electrode potential, the temperature coefficient and the thermodynamic functions were discussed. The experimental results show that particle size of bismuth nanoparticles has a significant influences on the electrochemical thermodynamic properties. The standard electrode potential of the nano‐bismuth electrode with a diameter of 39.9 nm was 0.009 V lower than that of the ordinary standard electrode (0.308 V); the temperature coefficient of the electrode potential with a diameter of 39.9 nm was nearly double that of 85.9 nm. With the particle sizes decrease, the standard molar Gibbs energy of reaction, the standard molar enthalpy of reaction, the standard molar entropy of reaction, the molar reversible reaction heat and the temperature coefficient increase; and these quantities are linearly related to the reciprocal of the particle diameter.     

Size effect on thermodynamic properties of CaMoO4 micro/nano materials and reaction systems

CaMoO₄ micro/nano hollow spheres with three different sizes were prepared via a reverse-microemulsion route at room temperature. Through designing a novel thermochemical cycle, the relationship between thermodynamic properties of nano CaMoO₄ and bulk CaMoO₄ was built. Combined with in situ microcalorimetry, change regularities for the thermodynamic properties of the prepared CaMoO₄ micro/nano materials and reaction systems were obtained. The results reveal that size effect has significant influence on thermodynamic properties of micro/nano materials and reaction systems. Along with the size decreasing, the standard molar enthalpy, standard molar Gibbs free energy and standard molar entropy of reaction of micro/nano reaction systems decreased, but the standard molar enthalpy of formation, standard molar Gibbs free energy of formation and standard molar entropy of micro/nano materials increased.     

立方体纳米氧化亚铜反应动力学的理论及实验研究

为了探究纳米多相反应过程的动力学行为,本文通过液相还原法可控合成了粒度为55 nm的立方体氧化亚铜（Cu₂O）。基于纳米与块体Cu₂O的区别,采用原位微量热技术获取Cu₂O体系与HNO₃反应过程的热动力学精细信息,结合热动力学原理及动力学过渡态理论计算得到Cu₂O反应动力学参数,并建立立方体动力学模型讨论并佐证动力学实验结果。结果表明,纳米Cu₂O的反应速率常数大于块体,而表观活化能、指前因子、活化焓、活化熵和活化Gibbs自由能均小于块体;随着温度的升高,纳米Cu₂O的反应速率常数和活化Gibbs自由能均增大。动力学模型表明影响反应动力学参数的主要因素为：偏摩尔表面焓影响表观活化能,偏摩尔表面熵影响指前因子,偏摩尔表面Gibbs自由能影响反应速率常数。本文为纳米材料多相反应动力学参数的获取和分析应用提供了一种普适的理论模型和实验方法。     

立方体纳米Cu2O表面热力学函数的粒度及温度效应

液相还原法合成了4种粒度在40-120 nm的立方体纳米氧化亚铜（Cu₂O）。利用X射线衍射仪（XRD）、显微拉曼光谱仪和场发射扫描电子显微镜（FE-SEM）对纳米Cu₂O的物相组成及形貌结构进行了表征。采用原位微热量技术实时获取纳米/块体Cu₂O与HNO₃反应过程的热动力学信息,结合热化学循环及动力学过渡态理论计算得到纳米Cu₂O的表面热力学函数。在薛永强等建立的无内孔球形纳米颗粒的热力学模型基础上,发展了立方体纳米颗粒的热力学模型。最后由理论结合实验结果分析了粒度和温度对表面热力学函数的影响规律及原因。结果表明,摩尔表面Gibbs自由能、摩尔表面焓和摩尔表面熵均随粒度减小而增大,且与粒度的倒数呈线性关系,这与立方体热力学模型规律一致;随着温度的升高,摩尔表面焓和摩尔表面熵均增大,摩尔表面Gibbs自由能则减小。本文不仅丰富和发展了纳米热力学基本理论,还为纳米材料表面热力学研究及应用提供了方法和思路。     

Measurement of the change in the partial molar volume during electrode reaction by gravity electrode—I. Theoretical examination

Gravity electrode is an electrode system, which is operated in a high gravity field arising from centrifugal force, and allows us to measure the change in the partial molar volume between product and reactant ions in an electrode reaction. In this paper, in the presence of a large amount of supporting electrolyte, the partial molar volume of each active ion in equilibrium state is first formulated on the basis of thermodynamics. Then, the change in the partial molar volume applicable to gravity electrode is derived. Therefore, it is possible to validate the equation obtained for gravity electrode by the thermodynamic measurement.     

亚稳平衡吸附态与亚稳平衡系数关系的热力学研究

在相同温度、压力、pH值和离子强度等条件下,同一种金属离子在无机矿物表面上发生的吸附反应可以形成能量不同的吸附状态(如Zn可以边-边和角-角两种方式吸附在水锰矿表面上),因而反应终了时吸附质可处于不同的亚稳平衡吸附态(MEA).应用MEA理论,针对吸附反应A+H₂O=xA₁+yA₂+H₂O,推导出实际吸附反应“平衡常数”(Kreal)与亚稳平衡系数(Kme)的热力学关系式,从理论上分析了吸附反应MEA状态的变化对实际吸附反应平衡性质的影响.分析结果表明,Kme值与两种MEA状态之间的能量差呈指数关系,通过影响吸附反应的MEA状态(包括能量和组成)的反应动力学因素可影响吸附平衡常数和吸附等温式(线)等吸附热力学性质.     

乙醇脱水反应的热力学分析与实验研究

乙醇脱水反应在不同温度条件下可生成不同产物,作者用定压热容计算了两类不同反应的反应热、吉布斯自由能、化学平衡常数,从理论上分析了两种主要反应在不同温度条件下进行的程度及相互竞争的趋势,并通过实验对理论分析进行了验证.     

Thermophysical Properties of High-Temperature Reacting Mixtures of Carbon and Water in the Range 400–30,000 K and 0.1–10 atm. Part 1: Equilibrium Composition and Thermodynamic Properties

This paper is devoted to the calculation of the chemical equilibrium composition and thermodynamic properties of reacting mixtures of carbon and water at high temperature. Equilibrium particle concentrations and thermodynamic properties including mass density, molar weight, entropy, enthalpy and specific heat at constant pressure, sonic velocity, and heat capacity ratio are determined by the method of Gibbs free energy minimization, using species data from standard thermodynamic tables. The calculations, which assume local thermodynamic equilibrium, are performed in the temperature range from 400 to 30,000 K for pressures of 0.10, 1.0, 3.0, 5.0 and 10.0 atm. The properties of the reacting mixture are affected by the possible occurrence of solid carbon formation at low temperature, and therefore attention is paid to the influence of the carbon phase transition by comparing the results obtained with and without considering solid carbon formation. The results presented here clarify some basic chemical process and are reliable reference data for use in the simulation of plasmas in reacting carbon and water mixtures together with the need of transport coefficients computation.     

Activity-Based Models to Predict Kinetics of Levulinic Acid Esterification

The solvent is of prime importance in biomass conversion as it influences dissolution, reaction kinetics, catalyst activity and thermodynamic equilibrium of the reaction system. So far, activity-based models were developed to predict kinetics and equilibria, but the influence of the catalyst on kinetics has not been succesfully predicted by thermodynamic models. In this work, the thermodynamic model ePC-SAFT advanced was used to predict the activities of the reactants and of the catalyst at various conditions (temperature, reactant concentrations, γ-valerolactone GVL cosolvent addition, catalyst concentration) for the homogeneously acid-catalyzed esterification of levulinic acid (LA) with ethanol. Different kinetic models were applied, and it was found that the catalyst influence on kinetics could be predicted correctly by simultaneously solving the dissociation equilibrium of H₂SO₄ catalyst along the reaction coordinate and by relating reaction kinetics to proton activity. ePC-SAFT advanced model parameters were only fitted to reaction-independent phase equilibrium data. The key reaction properties were determined by applying ePC-SAFT advanced to one experimental kinetic curve for a set of temperatures, yielding the reaction enthalpy at standard state , activation energy and the intrinsic reaction rate constant k=0.011 s⁻¹ at 323 K, which is independent of catalyst concentration. The new procedure allowed an a-priori identification of the effects of catalyst, solvent and reactant concentration on LA esterification.     

甲烷二氧化碳转化制备富含一氧化碳合成气

研究了甲烷二氧化碳转化反应的热力学特性,计算了反应平衡常数及平衡组成,分析和确定了抑制积碳的生成条件,采用固定床流动和脉冲反应装置研究了Ni/Al_2O_3催化剂对甲烷二氧化碳转化的催化性能。     

粒度对多相反应动力学参数的影响

以纳米氧化锌与硫酸氢钠溶液为反应体系, 研究反应物粒度对动力学参数的影响规律. 讨论了表观活化能降低的原因. 结果表明：当反应物粒径、反应温度和搅拌速率一定时, 纳米氧化锌与硫酸氢钠溶液的反应速率仅与反应物的浓度有关；反应物粒度对多相反应的反应级数、速率常数、表观活化能和指前因子均有较大的影响；随着反应物粒径的减小, 表观活化能和指前因子减小, 而反应级数和速率常数增大, 并且速率常数和表观活化能与反应物粒径的倒数呈线性关系；反应物粒度是通过摩尔表面积、摩尔表面能和摩尔表面熵三个方面影响多相反应的动力学参数的.     

Esterification of butyric acid with n-butanol: Kinetic study using experimental data and modeling

Present study involves the investigation of the esterification kinetics between butyric acid and n-butanol. This reaction was conducted in a batch reactor, utilizing homogeneous methanesulfonic acid (MSA) catalyst. Response surface methodology (RSM) was conducted prior to the kinetic study using “Design Expert; version-11.0” for finding the causal factors influencing the conversion of butyric acid. Most important factors identified with their limits against conversions (during optimization of the process using RSM) were taken up to critically analyze the effect of them on butyric acid conversion. Concentration and activity-based model of the process were proposed assuming second order reversible reaction scheme using homogeneous MSA catalyst. During the study of non-ideal behavior of the system, UNIFAC model was adapted for assessing the activity coefficients of species present in equilibrated liquid phase. Experimental data were used to evaluate kinetic and thermodynamic parameters such as rate constants, activation energy, enthalpy, and entropy of the system. The endothermic nature of esterification was confirmed by positive value of enthalpy obtained. The effect of various levels of causal variables like temperature (60–90°C), catalyst concentration (0.5–1.5 wt.%), and molar ratio of n-butanol to butyric acid (1–3) on conversion kinetics of butyric acid was investigated during transient and equilibrium phase of the reaction. It has been observed that molar ratio of butanol to butyric acid has the highest influence on the conversion. The rate equation derived offered a kinetic and thermodynamic framework to the generated data. It also exhibits a notable degree of conformity of predicted data to the experimental ones and effectively characterizes the system across different reaction temperatures, reactant molar ratio, and catalyst concentration.