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The Freundlich equation or Freundlich adsorption isotherm, an adsorption isotherm, is an empirical relationship between the quantity of a gas adsorbed into a solid surface and the gas pressure. The same relationship is also applicable for the concentration of a solute adsorbed onto the surface of a solid and the concentration of the solute in ...
The Freundlich isotherm is the most important multi-site adsorption isotherm for rough surfaces. =, where α F and C F are fitting parameters. [14] This equation implies that if one makes a log–log plot of adsorption data, the data will fit a straight line. The Freundlich isotherm has two parameters, while Langmuir's equations has only one ...
The Langmuir isotherm is given by: [CS] = (K eq S tot [C])/(1 + K eq [C]), where S tot is the total binding molecules on the beads. The Freundlich isotherm is given by: [CS] = K eq [C] 1/n. The Freundlich isotherm is used when the column can bind to many different samples in the solution that needs to be purified.
BET model of multilayer adsorption, that is, a random distribution of sites covered by one, two, three, etc., adsorbate molecules. The concept of the theory is an extension of the Langmuir theory, which is a theory for monolayer molecular adsorption, to multilayer adsorption with the following hypotheses:
The linear isotherm can be used to describe the initial part of many practical isotherms. It is typically taken as valid for low surface coverages, and the adsorption energy being independent of the coverage (lack of inhomogeneities on the surface). The Henry adsorption constant can be defined as: [2]
This amount can be determined experimentally by the construction of an adsorption isotherm. An adsorption isotherm is a graph of Γ(P,T) versus partial pressure of the adsorbate(P/P 0) for a given constant temperature, where Γ(P,T) is the number of molecules adsorbed per surface area. [1]
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This graph is called the "Van 't Hoff plot" and is widely used to estimate the enthalpy and entropy of a chemical reaction. From this plot, − Δ r H / R is the slope, and Δ r S / R is the intercept of the linear fit.