Measuring adsorption and adsorption isotherms

Langmuir adsorption model - https://en.wikipedia.org/wiki/Langmuir_adsorption_model

The Langmuir adsorption model explains adsorption by assuming an adsorbate behaves as an ideal gas at isothermal conditions. According to the model, adsorption and desorption are reversible processes. This model even explains the effect of pressure i.e at these conditions the adsorbate's partial pressure, $p_{A}$ , is related to the volume of it, $V$ , adsorbed onto a solid adsorbent. The adsorbent, as indicated in the figure, is assumed to be an ideal solid surface composed of a series of distinct sites capable of binding the adsorbate. The adsorbate binding is treated as a chemical reaction between the adsorbate gaseous molecule $A_{\text{g}}$ and an empty sorption site, $S$ . This reaction yields an adsorbed species $A_{\text{ad}}$ with an associated equilibrium constant $K_{\text{eq}}$ :

{\ce {A_{g}{}+ S <=> A_{ad}}}

From these basic hypotheses the mathematical formulation of the Langmuir adsorption isotherm can be derived in various independent and complementary ways: by the kinetics, the thermodynamics, and the statistical mechanics approaches respectively (see below for the different demonstrations).

The Langmuir adsorption equation is the following:

\theta _{A}={\frac {V}{V_{\text{m}}}}={\frac {K_{\text{eq}}^{A}\,p_{A}}{1+K_{\text{eq}}^{A}\,p_{A}}},

Adsorption tools:

Anton Paar - https://www.anton-paar.com/us-en/products/group/adsorption-analyzers/

Micromeritics ASAP 2020 Plus Adsorption Analyzer - https://www.micromeritics.com/asap-2020-plus/

Links to adsorption webinars YouTube

Physical adsorption webinar 1/3 - https://www.youtube.com/watch?v=ICh-VtEzNvk

Physical adsorption webinar 2/3 - https://www.youtube.com/watch?v=ozjJ-tx1LFs

Physical adsorption webinar 3/3 - https://www.youtube.com/watch?v=rUWizA32_1o