Part of JPC-10 — Surface Chemistry & States of Matter

Langmuir Adsorption Isotherm

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x/m = aP1+bP\frac{aP}{1 + bP}. Or: theta = KP1+KP\frac{KP}{1 + KP} where theta = fraction of surface covered. Assumptions: (1) Monolayer adsorption only. (2) All surface sites are equivalent. (3) No interaction between adsorbed molecules. (4) Dynamic equilibrium between adsorption and desorption. At low P: theta ≈ KP (linear, first order in P). At high P: theta ≈ 1 (surface fully covered, zero order in P). Linear form: Px/m\frac{P}{x/m} = 1/a + ba\frac{b}{a}P. Plot Px/m\frac{P}{x/m} vs P: straight line. More realistic than Freundlich at high pressures.

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