3 edition of The effects of non-linear equilibrium and axial dispersion in ion exclusion found in the catalog.
The effects of non-linear equilibrium and axial dispersion in ion exclusion
Charles Joseph Colwell
Written in English
Thesis(Ph.D.)-Northwestern University. Microfilm of typescript. Ann Arbor: University Microfilms, 1967. 1 reel. 35mm.
|The Physical Object|
The Effect of Solvent on Equilibrium and Rate Constants. II. Studies on the Dissociation Constants and Ion-Solvation in Aqueous Ethanol, Non-Aqueous Solvents and their Aqueous Mixtures of Some Benzocyclobuten-1 (2H) Ones. Bulletin des Sociétés Chimiques Belges , 92 (2), DOI: /bscb For each ion, the equilibrium (or reversal) potential is the membrane potential where the net flow through any open channels is other words, at E rev, the chemical and electrical forces are in balance.E rev can be calculated using the Nernst mammalian neurons, the equilibrium potential for Na + is ~+60 mV and for K + is ~ mV.
Get a % Unique Essay on Common Ion Effect in Equilibrium. for $13,9/Page. Get Essay. Then 5. 0g of barium nitrate was weighed into the beaker. Next, 50ml of distilled water was added to the beaker with the barium nitrate sample. The sample was mixed for ten minutes using the magnetic stirrer. Afterwards, as much as possible of the barium. Therefore, for every mole of FeSCN2+ present in the equilibrium mixture, one mole Fe3+ and one mole HSCN are reacted. We can see then that equilibrium moles Fe3+ = initial moles Fe3+ – equilibrium moles FeSCN2+ equilibrium moles Fe3+ = x mol – x mol = x mol Fe3+ Similarly for HSCN, equilibrium moles HSCN = x mol – .
The numeric values for this example have been determined experimentally. A mixture of gases at °C with [H 2] = [I 2] = M and [HI] = M is at equilibrium; for this mixture, Q c = K c = If H 2 is introduced into the system so quickly that its concentration doubles before it begins to react (new [H 2] = M), the reaction will shift so that a new equilibrium is . The purpose of this experiment was to study the effects of concentration and temperature changes on the position of equilibrium in a chemical system and to observe the common-ion effect on a dynamic equilibrium (Beran, ).
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Mass transfer effects in isocratic non-linear elution chromatography. Author links open overlay panel Cassian K. Lee Cassian K. LeeCited by: A rate equation model, which accounts for axial dispersion, film mass transfer, intraparticle diffusion, size exclusion and non-linear isotherms, was.
The binary ion-exchange equilibrium of compound P with respect to the counter-ion hydrogen was the focus of the experimental part of this study.
It is of special importance for this study as the dependency of the ion-exchange equilibrium on the product as well as the eluent concentration directly results in the shape of the peaks in dynamic Cited by: Study of the interaction between two overloaded bands injected successively in non-linear chromatography.
Journal of Chromatography A, DOI: /(90)S. Sadroddin Golshan-Shirazi, Georges Guiochon. Solutions of the equilibrium and semi-equilibrium models of chromatography. Journal of Chromatography ACited by: A rate equation model, which accounts for axial dispersion, film mass transfer, intraparticle diffusion, size exclusion and non-linear isotherms, was Author: Tingyue Gu.
exclusion factor, see Eqn () To describe liquid dispersion, an axial dispersion coefficient As in the case of adsorption, the physical process of ion exchange is considered to be so fast relative to diffusion steps that in and near the solid particles a local equilibrium exists and thus.
By comparing Eq. (a) and Eq. (), the ion exchange equilibrium relationship may appear similar to the adsorption isotherm of the Langmuir ically, the quantities of K o q t /c t and (K o − 1)/c t may be viewed as a and b of the Langmuir equation.
This similarity, however, does not lead to an equivalence between the two expressions, as the quantity K o is. Abstract. The equilibrium-dispersive model of cliromatograpliy assumes that the phase system is always very close to equilibrium and that the contributions of axial dispersion and of the finite rate of the mass transfer kinetics on the band profiles can be accounted for by the use of an apparent dispersion coefficient.
Saritha and Madras  neglected the effect of the axial dispersion coefficient and solved a simple model using linear adsorption isotherm. Farooq and. This model considers both external and internal mass transfer resistances as well as axial dispersion with non-linear isotherm. The effects of ﬂow rate, bed height and initial metal ion.
The effects of viscous fingering have been effectively taken into account by adjusting the values of two parameters affecting peak broadening and retention time, respectively, i.e. the axial dispersion coefficient and the interparticle porosity at reference conditions.
The new axial dispersion coefficient correlation in this work was based on additional experimental data in the literature by considering both molecular diffusion and.
The model including mass transfer and non-linear effects is a Dispersive-Equilibrium model using Langmuir type binding with mobile phase modifier, consisting of a dispersive-equilibrium description of the mobile phase with all mass transfer effects lumped in the dispersion, and Langmuir equilibrium adsorption for the solid phase .
For example, Lee et al.  studied the mass transfer effects in nonlinear multicomponent elution ion-exchange chromatography. They discussed the differences between a general rate model and the equilibrium theory under various mass transfer conditions.
Non-equilibrium thermodynamics is a branch of thermodynamics that deals with physical systems that are not in thermodynamic equilibrium but can be described in terms of variables (non-equilibrium state variables) that represent an extrapolation of the variables used to specify the system in thermodynamic equilibrium.
Non-equilibrium thermodynamics is concerned. The axial dispersion coefficient in pipes can be also obtained from the enclosed graph (Figure 6). The effect of beads, constrictions, etc., has been described by Wen and Fan. The reactor steady state problem now can be described as follows: 1 Pe d2c d.
Equilibrium theory assumes direct local equilibrium between the mobile phase and the stationary phase, neglecting axial dispersion and mass transfer resistances. The theory gives good interpretation of experimental results for chromatographic columns with fast mass transfer rates shown by many analyti- cal and some preparative columns.
The subscript i and e refer to ion and electron parameters respectively, φ represents the normalized radial velocity divided by x, Ω stands for the normalized rotation frequency, u ς shows the normalized axial velocity, λ labels the ratio between ion and electron temperatures, ψ behaves a convenient constant which for λ = 1 becomes the square of the normalized ion.
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The Effect of a Catalyst on Equilibrium. Reactions can be sped up by the addition of a catalyst, including reversible reactions involving a final equilibrium state. Recall that for a reversible reaction, the equilibrium state is one in which the forward and reverse reaction rates are equal.
In the presence of a catalyst, both the forward and. - Ion-exclusion chromatography This can be achieved by assuming the system is governed by equilibrium theory where mass transfer resistances and axial dispersion are neglected. In particular, assuming a Langmuirian type adsorption isotherm yields the so-called “Triangle Theory”, which helps determination of optimal and robust separation.The common-ion effect is used to describe the effect on an equilibrium involving a substance that adds an ion that is a part of the equilibrium.
Introduction The solubility products K sp 's are equilibrium constants in hetergeneous equilibria (i.e., between two different phases).The intent of this experiment was to analyze the effects of concentration and temperature alterations on the place of equilibrium in a chemical system and to detect the common-ion consequence on a dynamic equilibrium (Beran, ).
LeChatelier 's Principle states that if and external emphasis is applied to a system in a province of dynamic equilibrium, the equilibrium.