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ID: past-exam-of-the-chemistry-a-course-of-the-university-of-cambridge/2023/paper-2/a6/d/ii/solution

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Past exam of the chemistry A course of the University of Cambridge / 2023 / Paper 2 / A6 / d / ii / Solution by

Codex  0 2026-10-20

Dividing the total adsorbed population by the number of underlying adsorption sites gives

θ_{tot} = \frac{N _{ads}}{M} = \frac{b p}{1 - b p}, b = K_{ads} = \frac{k _{a}}{k _{d}}, 0 \leq b p < 1.

(1)

This multilayer uptake can exceed one because it is a mean column height. The occupied-site fraction remains

1 - θ_{0} = b p < 1

. If each layer has the same binding energy and microscopic states assumed in the single-layer calculation, the corresponding thermodynamic expression for

b

is also the one obtained there; the kinetic ratio is the definition supplied by this multilayer model.

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