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Application of the Grand Partition Function

As a simple example of the application of this method we again derive the Langmuir equation. [Pg.77]

The last equation above follows directly from the binomial theorem. [Pg.77]

Many modifications to the simple Langmuir model are amenable to analysis in this way. For example, consider adsorption on a set of M independent pairs of identical sites such that there is an interaction energy (2w) when both sites of a given pair are occupied. The expression for the grand partition function for such a system is [Pg.77]

The BET isotherm may also be easily derived via the grand partition function. As with the Langmuir model we consider a system of M independent sites with no interaction between adsorbed molecules. However, in the BET model each site in the first adsorbed layer is considered to provide a site for the second layer of adsorbed molecules and similarly for the third layer, [Pg.77]

Summing the terms in parentheses as geometric scries, we obtain [Pg.78]


Statislical Thermodynamic Approach 77 Application of the Grand Partition Function ... [Pg.77]




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