943 resultados para Langmuir adsorption isotherm


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A thermodynamic approach is developed in this paper to describe the behavior of a subcritical fluid in the neighborhood of vapor-liquid interface and close to a graphite surface. The fluid is modeled as a system of parallel molecular layers. The Helmholtz free energy of the fluid is expressed as the sum of the intrinsic Helmholtz free energies of separate layers and the potential energy of their mutual interactions calculated by the 10-4 potential. This Helmholtz free energy is described by an equation of state (such as the Bender or Peng-Robinson equation), which allows us a convenient means to obtain the intrinsic Helmholtz free energy of each molecular layer as a function of its two-dimensional density. All molecular layers of the bulk fluid are in mechanical equilibrium corresponding to the minimum of the total potential energy. In the case of adsorption the external potential exerted by the graphite layers is added to the free energy. The state of the interface zone between the liquid and the vapor phases or the state of the adsorbed phase is determined by the minimum of the grand potential. In the case of phase equilibrium the approach leads to the distribution of density and pressure over the transition zone. The interrelation between the collision diameter and the potential well depth was determined by the surface tension. It was shown that the distance between neighboring molecular layers substantially changes in the vapor-liquid transition zone and in the adsorbed phase with loading. The approach is considered in this paper for the case of adsorption of argon and nitrogen on carbon black. In both cases an excellent agreement with the experimental data was achieved without additional assumptions and fitting parameters, except for the fluid-solid potential well depth. The approach has far-reaching consequences and can be readily extended to the model of adsorption in slit pores of carbonaceous materials and to the analysis of multicomponent adsorption systems. (C) 2002 Elsevier Science (USA).

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Anew thermodynamic approach has been developed in this paper to analyze adsorption in slitlike pores. The equilibrium is described by two thermodynamic conditions: the Helmholtz free energy must be minimal, and the grand potential functional at that minimum must be negative. This approach has led to local isotherms that describe adsorption in the form of a single layer or two layers near the pore walls. In narrow pores local isotherms have one step that could be either very sharp but continuous or discontinuous benchlike for a definite range of pore width. The latter reflects a so-called 0 --> 1 monolayer transition. In relatively wide pores, local isotherms have two steps, of which the first step corresponds to the appearance of two layers near the pore walls, while the second step corresponds to the filling of the space between these layers. All features of local isotherms are in agreement with the results obtained from the density functional theory and Monte Carlo simulations. The approach is used for determining pore size distributions of carbon materials. We illustrate this with the benzene adsorption data on activated carbon at 20, 50, and 80 degreesC, argon adsorption on activated carbon Norit ROX at 87.3 K, and nitrogen adsorption on activated carbon Norit R1 at 77.3 K.

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A model for binary mixture adsorption accounting for energetic heterogeneity and intermolecular interactions is proposed in this paper. The model is based on statistical thermodynamics, and it is able to describe molecular rearrangement of a mixture in a nonuniform adsorption field inside a cavity. The Helmholtz free energy obtained in the framework of this approach has upper and lower limits, which define a permissible range in which all possible solutions will be found. One limit corresponds to a completely chaotic distribution of molecules within a cavity, while the other corresponds to a maximum ordered molecular structure. Comparison of the nearly ideal O-2-N-2-zeolite NaX system at ambient temperature with the system Of O-2-N-2-zeolite CaX at 144 K has shown that a decrease of temperature leads to a molecular rearrangement in the cavity volume, which results from the difference in the fluid-solid interactions. The model is able to describe this behavior and therefore allows predicting mixture adsorption more accurately compared to those assuming energetic uniformity of the adsorption volume. Another feature of the model is its ability to correctly describe the negative deviations from Raoult's law exhibited by the O-2-N-2-CaX system at 144 K. Analysis of the highly nonideal CO2-C2H6-zeolite NaX system has shown that the spatial molecular rearrangement in separate cavities is induced by not only the ion-quadrupole interaction of the CO2 molecule but also the significant difference in molecular size and the difference between the intermolecular interactions of molecules of the same species and those of molecules of different species. This leads to the highly ordered structure of this system.

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A theoretical analysis of adsorption of mixtures containing subcritical adsorbates into activated carbon is presented as an extension to the theory for pure component developed earlier by Do and coworkers. In this theory, adsorption of mixtures in a pore follows a two-stage process, similar to that for pure component systems. The first stage is the layering of molecules on the surface, with the behavior of the second and higher layers resembling to that of vapor-liquid equilibrium. The second stage is the pore-filling process when the remaining pore width is small enough and the pressure is high enough to promote the pore filling with liquid mixture having the same compositions as those of the outermost molecular layer just prior to pore filling. The Kelvin equation is applied for mixtures, with the vapor pressure term being replaced by the equilibrium pressure at the compositions of the outermost layer of the liquid film. Simulations are detailed to illustrate the effects of various parameters, and the theory is tested with a number of experimental data on mixture. The predictions were very satisfactory.

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The adsorption of three aromatic compounds on to an untreated carbon was investigated. The solution pH was lowered in all experiments so that all the solutes were in their molecular forms. It was shown that the difference in the maximum adsorption of the solutes was mainly a result of the difference in the sizes of the molecules and their functional groups. Further-more, it was illustrated that the packing arrangement was most likely edge-to-face (sorbate-sorbent) with various tilt angles. On the other hand, the affinity and heterogeneity of the adsorption systems were apparently related to the pK(a) values of the solutes.

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Using synchrotron X-ray grazing incidence diffraction, superlattice structures have been observed to develop in Langmuir-Blodgett films of cadmium arachidate as the temperature is raised. The previously reported superstructure in the stacked lamellae at room temperature changes at about 70 degreesC and there are further changes at about 90 and 103 degreesC before the major phase transition from stacked lamellae to hexagonally packed rods occurs at 107 degreesC (Langmuir 1997, 13, 1602). Between 70 and 103 degreesC there is a 1 x 10 one-dimensional in-plane superstructure, which is commensurate with the local structure and has an interlayer shift along [01] by a distance of b (of the local structure) at lower temperatures, and a further shift at about 90 degreesC. At lower (

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In this paper, we revisit the surface mass excess in adsorption studies and investigate the role of the volume of the adsorbed phase and its density in the analysis of supercritical gas adsorption in non-porous as well as microporous solids. For many supercritical fluids tested (krypton, argon, nitrogen, methane) on many different carbonaceous solids, it is found that the volume of the adsorbed phase is confined mostly to a geometrical volume having a thickness of up to a few molecular diameters. At high pressure the adsorbed phase density is also found to be very close to but never equal or greater than the liquid phase density. (C) 2003 Elsevier Science Ltd. All rights reserved.

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An integrated mathematical model for the kinetics of multicomponent adsorption on microporous carbon was developed. Transport in this bidisperse solid is represented by balance equations in the macropore and micropore phases, in which gas-phase diffusion dominates the mass transfer in the macropores, with the phenomenological diffusivities represented by the generalized Maxwell-Stefan (GMS) formulation. Viscous flow also contributes to the macropore fluxes and is included in the MS expressions. Diffusion of the adsorbed phase controls the mass transfer in the micro ore phase, p which is also described in a similar way by the MS method. The adsorption isotherms are represented by a new heterogeneous modified vacancy solution theory formulation of adsorption, which has proved to be a robust method for adsorption on activated carbons. The model is applied to the coadsorption and codesorption of C2H6 and C3H8 on Ajax and Norit carbon, as well as the displacement on Ajax carbon. The effect of the viscous flow in the macropore phase is not significant for the cases studied. The model accurately predicts the overshoot behavior and rollup of C2H6 during coadsorption. The prediction for the heavier compound C3H8 is always satisfactory, though at higher C3H8 mole fraction, the overshoot extent of C2H6 is overpredicted, possibly due to neglect of heat effects.

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The aim of this work was to devise a one-step purification procedure for monoclonal antibodies (MAbs) of IgG class by immobilized metal affinity chromatography (IMAC). Therefore, several stationary phases were prepared containing immobilized metal chelates in order to study the chromatographic behaviour of MAbs against wild-type amidase from Pseudomonas aeruginosa. Such MAbs adsorbed to Cu(II), Ni(II), Zn(II) and Co(II)-IDA agarose columns. The increase in ligand concentration and the use of longer spacer arms and higher pH values resulted in higher adsorption of MAbs into immobilized metal chelates. The dynamic binding capacity and the maximum binding capacity were 1.33 +/- 0.015 and 3.214 +/- 0.021 mg IgG/mL of sedimented commercial matrix, respectively. A K(D) of 4.53 x 10(-7) M was obtained from batch isotherm measurements. The combination of tailor-made stationary phases of IMAC and the correct selection of adsorption conditions permitted a one-step purification procedure to be devised for MAbs of IgG class. Culture supernatants containing MAbs were purified by IMAC on commercial-Zn(II) and EPI-30-IDA-Zn(II) Sepharose 6B columns and by affinity chromatography on Protein A-Sepharose CL-4B. This MAb preparation revealed on SDS-PAGE two protein bands with M(r) of 50 and 22 kDa corresponding to the heavy and light chains, respectively. Copyright (C) 2011 John Wiley & Sons, Ltd.

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Purpose: The sorption of sulfamethoxazole, a frequently detected pharmaceutical compound in the environment, onto walnut shells was evaluated. Methods: The sorption proprieties of the raw sorbent were chemically modified and two additional samples were obtained, respectively HCl and NaOH treated. Scanning electron microscopy, Fourier transform infrared spectroscopy, X-ray photoelectron spectroscopy, and thermogravimetric (TG/DTG) techniques were applied to investigate the effect of the chemical treatments on the shell surface morphology and chemistry. Sorption experiments to investigate the pH effect on the process were carried out between pH 2 and 8. Results: The chemical treatment did not substantially alter the structure of the sorbent (physical and textural characteristics) but modified the surface chemistry of the sorbent (acid–base properties, point of zero charge—pHpzc). The solution pH influences both the sorbent’s surface charge and sulfamethoxazole speciation. The best removal efficiencies were obtained for lower pH values where the neutral and cationic sulfamethoxazole forms are present in the solution. Langmuir and Freundlich isotherms were applied to the experimental adsorption data for sulfamethoxazole sorption at pH 2, 4, and 7 onto raw walnut shell. No statistical difference was found between the two models except for the pH 2 experimental data to which the Freundlich model fitted better. Conclusion: Sorption of sulfamethoxazole was found to be highly pH dependent in the entire pH range studied and for both raw and treated sorbent.

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O presente trabalho experimental teve como objectivos estudar a tratabilidade dum efluente lácteo utilizando a técnica de coagulação/floculação e avaliar a possibilidade de utilização do carvão activado granulado (CAG) Aquasorb 2000 como adsorvente para a remoção de compostos orgânicos presentes nos efluentes lácteos pré–tratados por coagulação/floculação, funcionando como um tratamento de polimento. No estudo da tratabilidade do efluente por coagulação/floculação investigou-se a influência de determinadas variáveis como o tipo e dose de coagulante e pH, a fim de encontrar as melhores condições operatórias. A utilização da referida técnica visou a redução do valor de concentração de alguns parâmetros: carência química de oxigénio (CQO); fósforo total e turvação, tendo sido utilizados efluentes desta indústria recolhidos em diferentes datas e após tratamento biológico, designados por A, B, C e D apresentando características diferentes. Sendo que o efluente A apresentava valores de CQO, fósforo total e turvação de 500 mg O2/L;32 mg P/L e 40 NTU respectivamente, o efluente B 1400 mg O2/L; 120 mg P/L e 80 NTU respectivamente, o efluente C 12300 mg O2/L; 87 mg P/L e 350 NTU respectivamente e o efluente D 340 mg O2/L; 33 mg P/L e 42 NTU respectivamente. Os coagulantes estudados foram hidróxido de cálcio (HC), sulfato de alumínio (SA) e tricloreto de ferro (TF). Verificou-se que o coagulante com maior eficácia nos efluentes estudados foi o TF. As maiores remoções de CQO, fósforo total e turvação, 89%, 99,9% e 99%, respectivamente, foram obtidas para o efluente C, com uma dosagem de TF de 4 g/L e com um pH entre 6 e 7. Entre os efluentes estudados este era o que apresentava valores iniciais mais elevados para qualquer um destes parâmetros. As melhores percentagens de remoção obtidas com o HC, para a CQO, fósforo total e turvação foram de 59%, 99% e 91%, respectivamente, com uma dosagem de HC de 1 g/L e com um pH entre 10 e 11,5 foram conseguidas no tratamento do efluente D, com o qual se alcançaram também as melhores remoções de CQO, fósforo total e turvação de 65%, 99% e 87%, respectivamente, quando se utilizou o coagulante SA, com uma dosagem de 2 g/L e com um pH entre 7 e 7,5. Relativamente ao volume de lamas produzido neste processo pela utilização dos diferentes coagulantes no tratamento dos efluentes referidos concluiu-se que o coagulante que gera menor volume de lamas é o HC, sendo o SA aquele que origina um maior volume. Submeteu-se posteriormente o efluente D, pré-tratado por coagulação/floculação, a um processo de adsorção em batch utilizando o CAG Aquasorb 2000, onde se conseguiu uma remoção de CQO de 48%, alcançando para este parâmetro o valor de 63 mg O2/L, nas condições operatórias que correspondem a uma massa de CAG de 12,5 g/L e um tempo de contacto de 3 horas. Quanto aos custos associados com os coagulantes, o que menores custos apresenta é o HC (150 €/ton), seguido pelo TF (250 €/ton) e por ultimo o SA (340 €/ton). Sendo que o efluente quando tratado com TF e SA é necessário uma correcção do pH do meio para que estes coagulantes actuem eficazmente, em que essa correcção de pH é realizada com hidróxido de sódio (540 €/ton). Realizaram-se ainda estudos de equilíbrio de adsorção com o carvão activado referido e o azul-de-metileno usando diferentes concentrações deste (50 mg/L; 100 mg/L e 200 mg/L) e diferentes massas de CAG (0,1g; 0,2g; 0,3g; 0,4g e 0,5g). A temperatura a que se realizaram estes ensaios foi de 28,7ºC e o volume de azul-de-metileno foi de 200 mL. Verificou-se que os melhores resultados obtidos foram para uma concentração de adsorvato de 100 mg/L. Ajustaram-se os modelos de Langmuir e Freundlich às isotérmicas obtidas tendo correlações mais elevadas para a concentração de 100 mg/L de corante (azul de metileno), sendo o modelo de Freundlich aquele que melhor se ajustou apresentando uma correlação quadrática de 0,9744 e os seguintes parâmetros Kf = 6,59 e n = 5,33, enquanto que o de Langmuir apresentou uma correlação quadrática de 0,9583 e os seguintes parâmetros qmáx = 83,3 mg/g de adsorvente e K = 20 L/mg de adsorvato.. Verificou-se que a capacidade de adsorção promovida pelo CAG, em relação ao azul-demetileno, obtida experimentalmente, 83,3 mg/g, é muito inferior à capacidade de adsorção teoricamente prevista pela ficha técnica deste carvão, 280 mg/g a uma temperatura de 25ºC, o que pode indiciar que o carvão utilizado não estaria nas melhores condições.

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A presente dissertação estudou a produção de carvão ativado a partir de resíduo de wet-blue, proveniente da indústria de curtumes, para a adsorção de compostos orgânicos voláteis, nomeadamente o acetato de etilo. Este estudo teve como principais objetivos: a otimização das condições de preparação de carvões ativados a partir deste tipo de resíduo; a avaliação do seu desempenho na adsorção do acetato de etilo e a correlação das propriedades texturais dos adsorventes com o seu desempenho na adsorção do COV. O método de ativação para a preparação dos carvões ativados foi a ativação química com hidróxido de potássio. Nesta etapa foi estudado o efeito da temperatura de ativação e da razão de impregnação KOH:precursor nas propriedades texturais. Nestes ensaios observou-se uma diminuição do rendimento de carbonizado com o aumento da temperatura de ativação e da razão KOH:precursor. Para a caracterização dos carvões ativados foram determinados os seus parâmetros texturais a partir das isotérmicas de adsorção/dessorção de N2 a 77 K. O carvão ativado com melhores propriedades texturais foi o ativado a 900ºC e com razão de impregnação de 3:1, m ca_900 3:1, com área superficial específica de 1902 m2/g, seguindo-se o carvão preparado a 800 ºC e com a mesma razão de impregnação, m ca_800 3:1, com área superficial específica de 1830 m2/g. Por fim, foi avaliado o desempenho do carvão ativado selecionado, m ca_800 3:1, na remoção de acetato de etilo de uma corrente gasosa. Foram efetuados ensaios de adsorção/ dessorção de acetato de etilo e o modelo de Langmuir foi ajustado aos resultados experimentais obtidos, tendo-se determinado uma capacidade de saturação de 500 mgCOV/ gadsorvente.

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Biphentrin, a known pyrethroid, was studied, aiming its removal from aqueous solutions by granulated cork sorption. Batch experiments, either for equilibrium or for kinetics, with two granulated cork sizes were performed and results were compared with those obtained with of activated carbon sorption. Langmuir and Freundlich adsorption isotherms were obtained both showing high linear correlations. Bifenthrin desorption was evaluated for cork and results varied with the granule size of sorbent. The results obtained in this work indicate that cork wastes may be used as a cheap natural sorbent for bifenthrin or similar compounds removal from wastewaters.

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The characteristic topographical features (crystallite dimensions, surface morphology and roughness) of bioceramics may influence the adsorption of proteins relevant to bone regeneration. This work aims at analyzing the influence of two distinct nanophased hydroxyapatite (HA) ceramics, HA725 and HA1000 on fibronectin (FN) and osteonectin (ON) adsorption and MC3T3-E1 osteoblast adhesion and morphology. Both substrates were obtained using the same hydroxyapatite nanocrystals aggregates and applying the sintering temperatures of 725ºC and 1000ºC, respectively. The two proteins used in this work, FN as an adhesive glycoprotein and ON as a counter-adhesive protein, are known to be involved in the early stages of osteogenesis (cell adhesion, mobility and proliferation). The properties of the nanoHA substrates had an important role in the adsorption behavior of the two studied proteins and clearly affected the MC3T3- E1 morphology, distribution and metabolic activity. HA1000 surfaces presenting slightly larger grain size, higher root-mean-square roughness (Rq), lower surface area and porosity, allowed for higher amounts of both proteins adsorbed. These substrates also revealed increased number of exposed FN cell-binding domains as well as higher affinity for osteonectin. Regarding the osteoblast adhesion results, improved viability and cell number were found for HA1000 surfaces as compared to HA725 ones, independently of the presence or type of adsorbed protein. Therefore the osteoblast adhesion and metabolic activity seemed to be more sensitive to surfaces morphology and roughness than to the type of adsorbed proteins.