Activity coefficients and micellar equilibria. I. The mass action law model applied to aqueous solutions of sodium carboxylates at 298.15 K

Douhéret, G. and Viallard, A., 1982. Activity coefficients and micellar equilibria. I. The mass action law model applied to aqueous solutions of sodium carboxylates at 298.15 K. Fluid Phase Equilibria, 8: 233–250.A method of successive approximations is proposed in order to estimate five parameters used in the calculation of mean activity coefficients γ_± for sodium carboxylates in aqueous solution, as a function of concentration. A model has been developed assuming monodispersion of non-charged micelles; separate adjustment of the parameters allows estimates to be made of the separate contributions to the observed complex variation of γ_± as a function of molality. Thus, the monomer, premicellar and micellar ranges have been determined precisely; the critical values have been found to be in good agreement with previous results obtained from the successive treatment of apparent molal volumes by means of the mass action law and the phase separation model. Micelle aggregation numbers have also been determined and agree satisfactorily with data derived from various experimental techniques, mainly NMR spectroscopy; free enthalpies of micellization have been calculated.Estimation of the standard deviations σ_γ± reveals that the values computed for the mean activity coefficients lie within the experimental accuracy. It should be possible to obtain additional information advantageously by subsequent treatment by means of the phase separation model.     

Entrapment of plant invertase within novel composite of agarose-guar gum biopolymer membrane

Invertase or β-d-Fructofuranosidase (E.C.3.2.1.26) was extracted from Cucumis melo. L. fruit (Family-Cucurbitaceae). Soluble, plant invertase enzyme was immobilized in novel composite of agarose-guar gum biopolymer matrix in the form of hydrophilic, porous membranes. The immobilized invertase was characterized for sucrose hydrolytic activity and leakage from the matrix support. The efficiency of immobilization was found to be 91% with negligible leaching. The kinetic parameters K_m and V_max for free and immobilized invertase were also determined. Immobilized invertase was optimally active in the wide pH range of 4.5-6.5. The immobilization process also enhanced the thermal stability of enzyme up to 65 °C. Immobilized invertase membranes showed excellent storage stability with shelf life of 110 days. Entrapped invertase showed better operational stability and reusability up to 12 cycles. The fluorescence spectra of the composite membranes were studied and compared with that of soluble enzyme. All these characteristics of the immobilized invertase membranes make them suitable for the fabrication of biosensors.     

Comparison of global models of sub-bituminous coal devolatilization by means of thermogravimetric analysis

Coal gasification and combustion are strongly dependent on devolatilization step. Aim of this work is to obtain the parameters of global kinetics of devolatilization of a sub-bituminous coal with high sulfur content. The kinetic parameters are obtained by means of TG experimental data, and applying different approaches to extrapolate the data to industrial relevant conditions. The simpler method is a model-free one which supposes a single step process whose Arrhenius kinetic parameters (A and E _a) have to be determined. Another common approach is the distributed activation energy model (DAEM) which assumes a series of first order parallel reactions occurring and sharing the same pre-exponential factor, A, with a continuous distribution of the activation energy. For the fitting of the experimental data, a numerical solution to DAEM and two approximate methods have been evaluated. Moreover, the results of these kinetic methods based on empirical approaches were compared with simulated data obtained using a more complex model based on percolation theory with cross-linking mechanism and vapor–liquid equilibrium (chemical percolation devolatilization, CPD model), which allows to simulate the coal pyrolysis from volatile yield data.     

Square-wave voltammetry and square-wave voltacoulommetry applied to the study of the electrocatalytic behaviour of surface confined myoglobin

Analytical previous results corresponding to square-wave voltammetry (SWV) and square-wave voltacoulommetry (SWVC) have been applied to the electrochemical characterization of myoglobin immobilized at a self-assembled monolayer of l-cystine on a gold electrode and its electrocatalytic activity towards the oxidation of sodium ascorbate. The obtained results have been compared with those previously reported in Langmuir (2011) 27:2052–2057 by using cyclic voltammetry. It has been shown that double layer effects can be easily removed in SWV and SWVC techniques. Accurate values for the thermodynamic and electrochemical kinetic parameters have been obtained by assuming dispersion in the formal potential of the redox center, and a value k _c ′?=?1.37?×?10⁵?M^?1?s^?1 has been found for the catalytic constant.     

Kinetics of the crosslinking reaction of nonionic polyol dispersion from terpene-maleic ester-type epoxy resin

The bulk crosslinking reaction kinetics of a novel two-component waterborne polyurethanes (2K-WPUs) composed of a bio-resin-based polyol dispersion and a hydrophilically modified hexamethylene diisocyanate tripolymer are investigated by freeze–drying and differential scanning calorimetry (DSC) technique at different heating rates. The data fit for the above two components is implemented with the nth-order kinetics equation and Málek’s mechanism function method, respectively. The kinetic parameters of crosslinking reaction are determined by the kinetic analysis of the data obtained from the thermal treatment, and then the kinetic model is built. The results indicate that the nth-order model deduced from Kissinger and Crane equation has great distinction with the experimental data, while the Málek analytic mechanism shows that the crosslinking process of the crosslinking reaction follows an autocatalytic reaction. The two-parameter (m and n) autocatalytic model (S–B model) can well describe the crosslinking reaction process of the studied 2K-WPU. The DSC curves derived from the experimental data show a good agreement with the theoretical calculation under 5–20 °C min^?1 heating rate. The results provide theoretical basis for the choice of the manufacturing process and the optimization of processing window.     

Pattern Search Method for Determination of DAEM Kinetic Parameters from Nonisothermal TGA Data of Biomass

The most accurate and up-to-date approach to modeling biomass pyrolysis is to adopt the distributed activation energy model (DAEM). In this study, a pattern search method to be used for the determination of DAEM kinetic parameters from the nonisothermal thermogravimetric analysis (TGA) data of biomass has been introduced. The method has been applied to the nonisothermal TGA data of peanut shell sample, and DAEM kinetic parameters of biomass samples have been determined. Calculated model results from determined kinetic parameters have been compared with nonisothermal TGA data of biomass.     

Improvement in the Thermostability of a Recombinant β-Glucosidase Immobilized in Zeolite under Different Conditions

β-Glucosidase is part of the cellulases and is responsible for degrading cellobiose into glucose, a compound that can be used to produce biofuels. However, the use of the free enzyme makes the process more expensive. Enzyme immobilization improves catalytic characteristics and supports, such as zeolites, which have physical-chemical characteristics and ion exchange capacity that have a promising application in the biotechnological industry. This research aimed to immobilize by adsorption a recombinant β-glucosidase from Trichoderma reesei, obtained in Escherichia coli BL21 (DE3), in a commercial zeolite. A Box Behnken statistical design was applied to find the optimal immobilization parameters, the stability against pH and temperature was determined, and the immobilized enzyme was characterized by SEM. The highest enzymatic activity was determined with 100 mg of zeolite at 35 °C and 175 min. Compared to the free enzyme, the immobilized recombinant β-glucosidase presented greater activity from pH 2 to 4 and greater thermostability. The kinetic parameters were calculated, and a lower K_M value was obtained for the immobilized enzyme compared to the free enzyme. The obtained immobilization parameters by a simple adsorption method and the significant operational stability indicate promising applications in different fields.     

Biosorption of uranium by immobilized cells of Rhodotorula glutinis

Biosorption of uranium ions from diluted solution (≤40 mg L^?1) onto immobilized cells of Rhodotorula glutinis was investigated in a batch system. Equilibrium, kinetic and thermodynamic studies were conducted by considering the effect of initial uranium concentration, contact time and temperature. Non-linear forms of Langmuir, Freundlich and Sips isotherm models were used to fit the equilibrium data, Sips model was designated as the best one. Kinetic data were simulated by non-linear pseudo-first-order, pseudo-second-order and intra-particle diffusion equations. Pseudo-first-order kinetic equation described the experimental data better than pseudo-second-order equation and intra-particle diffusion equation can fit the kinetic data with two independent curves. Thermodynamic parameters, including ?H ⁰, ?G ⁰ and ?S ⁰, were evaluated, the sorption process was determined to be spontaneous and endothermic. Uranium sorption from pure uranium solutions and uranium pit wastewater by immobilized biomass and blank beads, as well as the regeneration results indicated that immobilized R. glutinis can be use to recovery uranium from uranium pit wastewater.     

Cobalt(II) complexation with immobilized proteinases of Candida albicans

Complexation of cobalt(II) ion with proteolytic enzymes of Candida albicans (SAP C.alb.) of induced (ISAP C.alb.) and constitutive (CSAP C.alb.) types immobilized on the cellulose nitrate membrane surface has been studied. The maximal sorption capacity of cellulose nitrate membranes with covalently immobilized induced proteinase ISAP C.alb. with respect to Co(II) ions is 16.5 ??mol/cm², and that for CSAP C.alb. is 27.7 ??mol/cm². The model of fixed polydentate centers has been used for describing complex formation. The complexation constants (?? _n ) and the average number of immobilized ligands coordinated to one metal atom (n) have been determined. The specificity of binding of immobilized enzyme molecules to Co(II) ion has been assessed.     

Membrane distillation: theory and experiments

A theoretical approach is presented that describes membrane distillation processes due to the simultaneous action (in a proactive or in a counteractive way) of temperature and concentration differences through porous hydrophobic membranes. The model developed emphasizes the importance of the boundary layers, shows the existence of a coupling term between the two thermodynamic forces acting on the system, and permits the definition and characterization of the so-called steady states. In order to check the model, two membranes have been studied in different experimental conditions. The influence of some relevant parameters, such as solution concentration, stirring rate, mean temperature and temperature difference has been considered and the theoretical predictions of the model have been applied to the obtained results. The accordance may be considered good.     

A kinetic expression for the pyrolytic decomposition of polytetrafluoroethylene

Despite the fact that the thermal decomposition of polytetrafluoroethylene has been extensively studied over the past six decades, some inconsistencies regarding the kinetic parameters, e.g. the order of the reaction, remain. Representative kinetic data are essential for practical purposes such as reactor design and scaling. In general the literature data refer to homogeneous bulk heating, whereas the case of the non-homogeneous heating of a single particle has not received attention. Data (reaction rate and pre-exponential factor) applicable to this latter case were experimentally determined from isothermal thermogravimetric analyses of the depolymerisation reaction of PTFE. The kinetic data obtained on coarse granules (800-1000 μm) are reported here. The rate law is consistent with a shrinking particle kinetic model, with chemical kinetics controlling phase-boundary movement. The mass loss rate is directly proportional to surface area. A rate law applicable to this case, and useable for geometries of arbitrary shape, is derived.     

A Branched Pore Model Analysis for the Adsorption of Acid Dyes on Activated Carbon

A new branched-pore adsorption model has been developed using an external mass transfer coefficient, K _f, an effective diffusivity, D _eff, a lumped micropore diffusion rate parameter, K _b, and the fraction of macropores, f, to describe sorption kinetic data from initial adsorbent-adsorbate contact to the long-term adsorption phase. This model has been applied to an environmental pollution problem—the removal of two dyes, Acid Blue 80 (AB80) and Acid Red 114 (AR114), by sorption on activated carbon. A computer program has been used to generate theoretical concentration-time curves and the four mass transfer kinetic parameters adjusted so that the model achieves a close fit to the experimental data. The best fit values of the parameters have been determined for different initial dye concentrations and carbon masses. Since the model is specifically applicable to fixed constant values of these four parameters, a further and key application of this project is to see if single constant values of these parameters can be used to describe all the experimental concentration-time decay curves for one dye-carbon system.The error analysis and best fit approach to modeling the decay curves for both dye systems show that the correlation between experimental and theoretical data is good for the fixed values of the four fitted parameters. A significantly better fit of the model predictions is obtained when K _f, K _b and f are maintained constant but D _eff is varied. This indicates that the surface diffusivity may vary as a function of surface coverage.     

High-conversion polymerization. I. Theory and application to methyl methacrylate

The concept of polymer entanglements has been applied in conjunction with classical free-radical kinetics to describe vinyl polymerizations carried to high conversion. A kinetic model has been developed on the assumption that two populations of radicals exist in a high-conversion polymerization system: those radicals whose chain lengths are long enough to become entangled with neighboring molecules and have, therefore, a restricted mobility; and those shorter radicals whose mobilities are not strongly affected by diffusional effects. It has also been assumed that the kinetic rate constant for the termination step between entangled radicals is inversely proportional to the mean entanglement density. The model contains only two parameters in addition to the kinetic rate constants required to describe low-conversion polymerizations. One of these parameters can be determined, at least in principle, from measurements of solution properties of the polymer-monomer mixtures. The model so developed has been tested against experimental data obtained from the literature on the bulk polymerization of methyl methacrylate. The agreement between predicted and experimental monomer conversions and molecular weight averages is found to be satisfactory.     

One-pot high-temperature synthesis of polyimides in molten benzoic acid: Kinetics of reactions modeling stages of polycondensation and cyclization

For aromatic and aliphatic diamines of significantly different basicities, the kinetics of acylation with phthalic anhydride in glacial acetic acid in the range 16–70°C and of imidization of corresponding bis(o-carboxyamides) in acetic acid at 140°C has been studied. The reactions under study model the stages of polycondensation and intramolecular cyclization, respectively, in the high-temperature catalytic synthesis of polyimides in molten benzoic acid. It has been established that the acylation of amino groups in acetic acid proceeds as a reversible reaction and is catalyzed by the acidic medium. The kinetic and thermodynamic parameters of the above-mentioned model reactions have been determined, and the effect of the chemical structure of diamines on these parameters has been assessed. On the basis of the experimental data obtained for the model reactions, it is inferred that, in the synthesis of polyimides in benzoic acid, the overall rate of the process is determined by the rate of the intramolecular cyclization. A low sensitivity of the cyclization reaction to a change in the structure of the starting diamines explains why high-molecular-mass polyimides can be prepared at comparable rates under these conditions from both high-and low-basicity diamines.     

Polyethylene/poly(styrene-co-divinylbenzene) sodium sulphonate membranes : Part 1. Synthesis and properties

Transport properties of cation-exchange membranes have been studied. The self-diffusion coefficients of sodium and chloride ions, the transport numbers of sodium ions and water, and the conductivities were measured in 0.1 M sodium chloride at 25°C. The concentration potentials were determined in the system 0.05/0.15 M sodium chloride.The membranes were prepared by sulphonation of oriented polyethylene (PE) film modified with 30 wt % of styrene—divinylbenzene copolymer (poly(St-co-DVB)). The copolymer was introduced by interpolymerization of the monomers within the film without its dissolution. A sequence of membranes having similar ion-exchange capacity but differing in water content was then obtained from sheets of normal PE/poly(St-co-DVB)SO₃Na membranes by expanding them by heating in water followed by a thermal treatment in air.The deviations of the measured transport properties from the behaviour of homogeneous membranes and the analysis of the Kedem—Katchalsky relationships for composite membranes have led to the conclusion that in PE/poly(St-co-DVB)SO₃Na membranes a structure prevails with a series arrangement of layers with different properties.     

New approaches to studying the kinetics of the radical reaction of N-phenyl-1,4-benzoquinone monoimine with 2-mercaptobenzothiazole

The kinetics of the reaction of N-phenyl-1,4-benzoquinone monoimine with 2-mercaptobenzothiazole in chlorobenzene at 298 and 343 K under argon has been studied by kinetic spectrophotometry. The reaction orders have been determined. The influence of tetraphenylhydrazine and azobisisobutyronitrile initiators has been investigated. An accelerating effect of one of the reaction products, 4-hydroxydiphenylamine, has been discovered. The accelerating effect strenthens with an increasing 2-mercaptobenzothiazole concentration. Two methods are proposed for determination of the kinetic parameters of the reaction. The first method uses data on the consumption rate of quinoneimine in the noninitiated reaction in the presence of 4-hydroxydiphenylamine. In the second method, the accumulation of quinone monoimine is studied during initiator decomposition in the presence of mixtures of 4-hydroxydiphenylamine and 2-mercaptobenzothiazole and parameters are estimated from the dependences of the limiting concentration of accumulated quinone monoimine on the initiation rate and on the concentrations of the reactants Using the proposed approaches, the numerical values of a number of kinetic parameters of the radical reactions of the quinone compounds with thiols have been determined for the first time for the reaction studied.     

Solubility of carbon dioxide in cellulose acetate at elevated pressures

The solubility of carbon dioxide in symmetric (dense) cellulose 2.4-acetate has been measured at temperatures from 0 to 70°C and pressures up to 45 atm. The polymer samples were prepared by slowly drying asymmetric reverse osmosis membranes. The solubility isotherms can be described satisfactorily up to 60°C by the “dual-sorption” model for glassy polymers. The model cannot represent the experimental data above 60°C, possibly because of a second-order transition in the polymer between 60 and 70°C. An analysis of the dual-sorption parameters and of the heats of solution and “hole filling” suggests that the polymer samples contained a relatively large volume of microcavities. Gas solution appears to occur predominantly in microcavities, a large fraction of the penetrant moleculers being immobilized or partially immobilized. The solubilities obtained in this work are compared with similar data computed from time-lag measurements of other investigators, and the validity of the dual-sorption model is examined for the present case.     

Ion-solvent and ion-ion interactions of NaCl aqueous and aqueous maltose solutions at 298–323 K on viscosity data

Viscosities of sodium chloride in concentration range 1 × 10^?2 to 9 × 10^?2 ± 0.001 mol dm^?3, have been determined in aqueous and aqueous maltose systems (1.0 to 9.0 wt %) at different temperatures (298 to 323 K). The viscosity data have been analyzed by using Jones-Dole equation and the derived parameters A and B coefficients were also calculated. The data obtained from viscometric studies has been used to investigate the ion-solvent interaction and ion-ion interaction. Thermal effects on the ionic interactions were also examined under the light of transition state theory.     

Non-isothermal depolymerisation kinetics of poly(ethylene oxide)

The depolymerisation of low molecular weight poly(ethylene oxide) (PEO) under mild conditions was studied using a linear temperature ramped non-isothermal technique and the results compared with those obtained from a conventional isothermal technique. The analysis of the non-isothermal kinetic (NIK) data was performed using an original computer program incorporating an algorithm that systematically minimizes the sum of the squares of the residuals between the experimental data and the calculated theoretical kinetic profile in order to extract the kinetic parameters. The results revealed that the depolymerisation of PEO proceeds in accordance with the Ekenstam model and follows the Arrhenius equation over the temperature range of ca. 40-130 °C. The NIK analysis resulted in a two-dimensional convergence to produce a unique solution set for the kinetic parameters of E_a = 89.4 kJ mol⁻¹ and A = 9.6 × 10⁶ h⁻¹. These data are consistent with the results obtained from the isothermal experiments. It is proposed that NIK analysis is a quick and reliable means of obtaining kinetic parameters relevant to lifetime predictions in polymers whose degradation behaviour can be considered to be close to ideal.     

微乳液中脂肪酶和含明胶的微乳液凝胶中固定化脂肪酶的催化特性

在双2-乙基己基琥珀酸酯磺酸钠(AOT)油包水微乳液中Calytical脂肪酶催化月桂酸和戊醇的酯化反应动力学研究表明,反应符合乒乓(BiBi)机制.表观速率常数k_m酸=0.13518mol/L,k_m醇=0.22423mol/L,最大反应速度v_max=1.3873×10^-5mol/(L·min·mg).将该脂肪酶固定于含明胶的微乳液凝胶(MBGs)中,制得固定化脂肪酶,含酶MBGs在非极性溶剂中可作为固相催化剂,并研究了其在辛烷中催化酯化的性能.所制得的含酶MBGs物理稳定性好,重复利用10次以上,其转化率仍达初始转化率的90%.