1995
DOI: 10.1021/la00008a050
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Thermodynamically Consistent Equilibrium Adsorption Isotherms for Mixtures of Different-Sized Molecules

Abstract: Simple and general differential criteria are derived for testing equilibrium adsorption isotherms for consistency with the laws of thermodynamics. The generalized Langmuir isotherm (L-model) for binary solutes of different sizes or adsorption capacities fails the test, as previously noted. A consistent isotherm is derived for the first time, by using the framework of the ideal adsorbed solution (IAS) theory of Myers and Prausnitz (AIChE J. 1965,11,121). The scaled particle theory isotherms for circular disks … Show more

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Cited by 53 publications
(47 citation statements)
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“…This equation is valid when there is no area change upon mixing, and it is consistent with the ideal adsorbed solution adsorption. For molecules that differ greatly in size, the ideal mixing conditions may be not fulfilled (24,25). LeVan and Vermeulen (26) derived a set of thermodynamically consistent equations of which Equation 4 is a particular case.…”
Section: Resultsmentioning
confidence: 99%
“…This equation is valid when there is no area change upon mixing, and it is consistent with the ideal adsorbed solution adsorption. For molecules that differ greatly in size, the ideal mixing conditions may be not fulfilled (24,25). LeVan and Vermeulen (26) derived a set of thermodynamically consistent equations of which Equation 4 is a particular case.…”
Section: Resultsmentioning
confidence: 99%
“…(18) and (19) only apply to binary systems consisting of solvent and one adsorptive compound. For multi-component systems containing more than one adsorptive compound, the following generalization of Eq.…”
Section: Ellipsometrymentioning
confidence: 99%
“…A common approach used for the description of multicomponent monolayers is the direct integration of the Gibbs equation using model adsorption isotherms. Although model isotherms may be chosen at will, it should be noted however that, in order to ensure thermodynamic consistency of the model, the partial adsorption isotherms, C i and C j , of the components i and j must satisfy the following constraint [18,19].…”
Section: Introductionmentioning
confidence: 99%
“…We note that the proposed model automatically satisfies the thermodynamic consistency relation [14,15] oqQcd "~ ( OQzn O Uz.) Ccd = t, i-ffU ) Oz.'…”
Section: Construction Of Adsorption Isotherms From Batch Experimentsmentioning
confidence: 76%