Langmuir


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Langmuir

Irving. 1881--1957, US chemist. He developed the gas-filled tungsten lamp and the atomic hydrogen welding process: Nobel prize for chemistry 1932
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005
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Equation 2 denotes Langmuir isotherm, where "qe" denotes the amount of adsorbate adsorbed at the equilibrium (mg/Kg), "Qmax" the maximum adsorption capacity of the adsorbent (mg/Kg).
A high value of Kd indicates a high adsorption [21] The experimental data were fitted into the two most widely used isotherm models (Freundlich and Langmuir); these two models were linearized appropriately [18].
The regression provides an empirical basis for estimatingthe Langmuir maximum CH4 adsorption capacity from TOC content in a shale reservoir.A similar correlation between gas sorption capacity and TOC content at 30[degrees]C and 6 MPa pressure has been observed in previous studies (Chalmers and Bustin, 2007a,b; Ross and Bustin, 2007, 2009; Zhang et al., 2012; Msarah and Alsier, 2018).
The Langmuir isotherm model, which is based on the assumption that the maximum adsorption corresponds to a saturated monolayer of solute molecules on the adsorbent surface, with no lateral interaction between adsorbed molecules, is given by the following equation:
Adsorption equilibrium information is the most important part of the adsorption process, when [partial derivative]V/[[partial derivative].sub.t] = 0; (13) can be recovered as the equivalent Langmuir isothermal adsorption equilibrium equation
[42] examined the formation of various PVDF Langmuir films.
This model is considered more general than Langmuir because in its derivation homogenous surface and constant sorption potential are not assumed [30].
The data of the adsorption process for the organic acids and three phenolic compounds were analyzed using the Langmuir isotherm linear model according to the following equation [19]:
The Langmuir and Freundlich isotherms were used for the analysis of adsorption equilibrium data.
Langmuir isotherm: [C.sub.e]/[q.sub.e] = [C.sub.e]/[q.sub.m] + 1/[K.sub.L][q.sub.m] (3)
Several researchers obtained excellent fit of phosphate sorption data with the two-site Langmuir model [36] and metal sorption, that is, Lanthanide on smectite clays [37, 38].