Two methods of describing adsorption equilibrium

The thermodynamics of adsorption equilibrium with a single-component gas phase have been analyzed for two different models of adsorption. It has been shown that with a cell model of adsorption, the differential energy of the adsorbent/adsorbate system is expressed by the same formula as in the other model, in terms of quantities characterizing the equilibrium gas. An expression is derived for the differential energy, with deformation of the adsorbent taken into account. The two methods of calculating the isosteric heat of adsorption are compared.Institute of Physical Chemistry, Russian Academy of Sciences, Moscow. Translated from Izvestiya Akademii Nauk, Seriya Khimicheskaya, No. 1, pp. 19–23, January, 1992.     

Statistical modeling of equilibrium adsorption of non-ideal mixtures on zeolites

A new model for equilibrium adsorption of a binary mixture on zeolites that takes into account the energy nonuniformity of the adsorption field in the zeolite cavities was developed on the basis of statistical thermodynamics. The nonuniformity of the adsorption field produces rearrangement of molecules in the cavity volume, decreasing the entropy, internal energy, and Helmholz free energy. A procedure for calculation of the thermodynamic functions from the data on the adsorption of pure components was proposed. The limiting cases of maximum ordering of the molecules in the cavity and their random distribution were considered. The approach proposed was exemplified by the substantially non-ideal system nitrogen--argon--zeolite NaX at 160 K. The proposed model describes the behavior of this mixture much better than that of the ideal adsorbed solution theory.     

VOCs在吸附剂上吸附性能的热力学研究

采用色谱法与热重(TG)法,测量了正己烷、甲苯和乙酸乙酯在活性炭、5A、NaY、13X、ZSM-5 (SiO_2/Al_2O_3=27、300)、Hβ以及M CM-41等吸附剂上不同温度下的吸脱附行为,并基于反相气相色谱法测得的数据,计算了其吸附热力学参数ΔH、ΔS和ΔG,分析了上述VOCs分子与吸附剂之间的作用机制,并借助FT-IR验证了吸附质在分子筛表面的吸附机制。结果表明,上述吸附过程存在物理吸附和化学吸附两种方式,其中,物理吸附的作用力大小与吸附剂的孔径分布和分子直径相关,而化学吸附的作用力大小依赖于分子筛硅铝比和Ca~(2+)、Na~+、H~+等阳离子及吸附质分子的偶极矩,且强的化学吸附使得部分吸附质分子的脱附温度高于200℃。     

Phase equilibria in polymer/solvent systems. Part V: Thermodynamic theory of the swelling pressure equilibrium of a crosslinked substance with a solvent in various phases

A thermodynamic theory has been developed to define the swelling pressure equilibrium between a homogeneous gel and a pure solvent, where phase transitions of the solvent, such as evaporation and crystallization can occur. It is shown that the equilibrium curve, which describes the temperature dependence of the composition in the gel phase under the condition of a constant swelling pressure, has distinct bends at the transition temperatures. These bends are related to the enthalpies of transition of the pure solvent at the transition temperatures. As a consequence of the phase transition of the solvent the swelling pressure-temperature curve at constant composition of the gel shows a discontinuous behavior at the transition point. Numerical calculations with a modified Flory-Huggins expression, based on results of swelling and deswelling measurements of the system crosslinked PEG/water, are presented.The discussion includes natural systems, which are in the gel state, where water may crystallize in the extracellular space.     

Thin-layer adsorption chromatography with mixed mobile phases. 3. Correlation between parameters characterizing the chromatographic systems with binary and ternary mobile phases

TLC experimental data have been measured for polycyclic hydrocarbons in binary and ternary mobile phases on silica gel. These data have been interpretated using the equation discussed by us in Part 1 of this series [HRC & CC 2 (1979) 236]. The heterogeneity parameter appearing in this equation has been evaluated and compared for different ternary and binary mobile phases.     

Relation between characteristic adsorption energy and internal pressure in the theory of volume filling of micropores

An equation for the internal pressure acting on an adsorbate in micropores was obtained on the basis of the assumption that the chemical potential of an adsorbate in micropores is equal to that in an equilibrium gas phase and using the Dubinin-Radushkevich equation. The empirical relation between the characteristic adsorption energy and the half width of pores was expressed in terms of internal pressure and diameter of adsorbate molecules. The two-dimensional pressure was calculated for micropores with plane-parallel walls, where the width of a micropore coincides with the diameter of an adsorbate molecule. The results obtained were compared with the two-dimensional pressure of a monolayer on a free planar surface for an adsorbate and adsorbent of the same nature.Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 10, pp. 1928–1930, October, 1995.     

Mechanism of coadsorption of two organic substances on electrodes at strong attractive interaction between their molecules in the adsorption layer

Based on the model of three parallel capacitors, the differential capacitance and the surface concentration of two organic compounds coadsorbed on an electrode are calculated as a function of the potential. It is shown that for the strong attractive interaction of two different adsorbed molecules that occupy equal areas on the surface and for different combinations of the other adsorption parameters is well described by the model of two parallel capacitors with a simple Frumkin isotherm. However, in this case, the effective attraction constant in this isotherm should depend on the electrode potential. The obtained results show that the good agreement of experimental data with the calculations based on the model of two parallel capacitors is insufficient for assuming that the orientation of adsorbed molecules of a given organic compound is potential-independent. On the other hand, if the adsorbate molecule in two different orientations occupies different areas on the electrode surface, then the model of two parallel capacitors does not allow one to describe the dependence of the total surface concentration on the electrode potential even under the conditions where this model adequately describes the differential capacitance curves.     

The relationship between the connectivity indices and the thermodynamic parameters describing the interaction of fatty acid methyl esters with polar and nonpolar stationary phases

Summary The relationships between the connectivity indices — easily calculated from the molecular structure of the compounds — and the partial molar free energies of solution are investigated for the methyl esters of 39 saturated (normal and branched) mono- and polyunsaturated higher fatty acids on a nonpolar (SE-30) and polar (SILAR 5CP) phase. The prediction of the ΔG values seems possible for any compound assuming that data for standard compounds are available. The relationship may be generally useful for the thermodynamic evaluation of nonspecific interactions of compounds with the stationary phases.     

Reaction thermodynamics of amine‐cured epoxy systems: Validation of the enthalpy and heat capacity of reaction as determined by modulated temperature differential scanning calorimetry

The reaction enthalpy and reaction heat capacity of three aromatic epoxy–amine systems have been determined with modulated temperature diffential scanning calorimetry (MTDSC), mostly in quasi‐isothermal conditions, over a wide temperature range (33–140 °C) and for different mixture compositions. The reaction enthalpy is only slightly dependent on the epoxy–amine chemistry, from ?111 to ?98 kJ/mol epoxy functionality. With the model system phenyl glycidyl ether (PGE)+aniline, the reaction enthalpy of the secondary amine–epoxy reaction step is equal to that of the primary amine–epoxy reaction. Group contributions needed to calculate the reaction heat capacity with an additivity approach are evaluated, and a new value of 37.2 J mol^?1 K^?1 for the group N? (H)(C)(CB) is proposed. With this group contribution, the additivity method predicts almost equal values for the reaction heat capacity of both amine–epoxy reaction steps at 298.15 K (Δ_rC_p,prim = 15.7 J mol^?1 K^?1 and Δ_rC_p,sec = 14.6 J mol^?1 K^?1), whereas the experimental value of Δ_rC_p,sec is about three times larger than that of Δ_rC_p,prim at 100 °C. These results are confirmed experimentally for PGE+aniline as a different temperature dependence of both reaction heat capacities. MTDSC therefore is potentially interesting for differentiating between reactive species in an epoxy–amine reaction, a benefit previously assigned to spectroscopic methods only. © 2003 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 41: 594–608, 2003     

Calculation of the (liquid + liquid) equilibrium of solutions of hyperbranched polymers with the lattice-cluster theory combined with an association model

The (liquid + liquid) equilibrium of solutions of hyperbranched polyesters is calculated with the lattice-cluster theory (LCT) combined with a chemical association model. The considered solvents are n-alkanes as well as propan-1-ol and butan-1-ol. The structure of the solvents is also considered in the framework of the LCT, assuming the solvent molecules as linear chains of several segments. For polymer solutions with the non-associating n-alkanes only the self association of the hyperbranched polymer molecules has to be considered by the chemical association lattice model (CALM). For the solutions of the type alcohol + hyperbranched polymer additionally the cross association is taken into account by a modified version of the extended chemical association lattice model (ECALM). The association effects are proved to influence strongly the phase equilibrium. Calculating the cloud-point curve and the critical point the polydispersity of the polymer samples is neglected. There is a reasonable agreement of the calculated curves with the experimental data taken from the literature.     

Thermodynamic and spectroscopic study of the interaction of Cu(II), Ni(II), Zn(II) and Ca(II) ions with 2-amino-N-(2-oxo-2-(2-(pyridin-2-yl)ethyl amino)ethyl)acetamide,a pseudo-mimic of human serum albumin

The protonation equilibria of 2-amino-N-(2-oxo-2-(2-(pyridin-2-yl)ethyl amino)ethyl)acetamide ([H₂(556)–N]) and the complexation of this ligand with Cu(II) Ca(II), Zn(II) and Ni(II) have been studied by glass electrode potentiometry and UV–visible spectrophotometry. From pH ∼2.00–11.00, five models for Cu(II) with the following complexes; MLH, ML, MLH₋₁, MLH₋₂ and MLH₋₃ were generated and observed to describe the experimental data equally well as far as the statistical criteria were concerned. The MLH₋₂ complex predominates at physiological pH in all five models, while the MLH₋₁ complex species exists only at low concentration in two models. The coordination in the MLH₋₂ complex suggested the involvement of one amino, two deprotonated peptides and one pyridyl nitrogen atoms. Molecular mechanics (MM) calculations confirmed the MLH₋₂ complex as the most stable species. Speciation calculations, using a blood plasma model, predicted that the Cu(II)–[H₂(556)–N] complex is able to mobilize Cu(II). Octanol/water partition of CuLH₋₂ showed that 30% of the complex went into the octanol phase, hence promoting percutaneous absorption of copper. The complex is a poor mimic of native copper–zinc superoxide dismutase.