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By Lyu Farid

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As a first approximation, we can set u = 0 to reduce the number of parameter by one. This is reasonable in systems where the adsorbate-adsorbate interaction is not as strong as the adsorbate-adsorbent interaction. If the fit of the three parameter model with the data is not acceptable, then the four parameter model is used. In the attempt to Fundamentals of Pure Component Adsorption Equilibria 37 reduce the number of fitting parameters in the Nitta's isotherm equation, the following section shows how the adsorbate-adsorbate interaction energy can be estimated.

4-1) where j s is the internal and vibrational partition function of an adsorbed molecule, 6 is the adsorption energy per molecule for adsorbate-adsorbent interaction and u is the molecular interaction parameter for adsorbate-adsorbate interaction. The factor g(N,M) is the combinatorial factor which describes the number of distinguishable ways of distributing N adsorbed molecules over M sites. This function may be expressed as: where £ is a parameter relating to the flexibility and the symmetry of a molecule.

4-19) without adsorbate - adsorbate interactions works well with adsorption of hydrocarbons and carbon dioxide on activated carbon and carbon molecular sieve with n ranging from 2 to 6. 4-6) is readily extended to multicomponent systems. The relevant equation is: ^ A n l (242°) When all the interaction energies between adsorbed molecules are zero, the multicomponent equations will be: Further, if n{ = 1 for all i, eq. 4-12) reduces to the extended Langmuir equation. We shall further discuss multicomponent systems in details in Chapter 5.

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