Study the state of equilibrium between a gaseous phase and an adsorbed phase in a singlecomponent system.

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Study the state of equilibrium between a gaseous phase and an adsorbed phase in a singlecomponent system. Show that the pressure in the gaseous phase is given by the Langmuir equation

\[
P_{g}=\frac{\theta}{1-\theta} \times(\text { a certain function of temperature })
\]

where \(\theta\) is the equilibrium fraction of the adsorption sites that are occupied by the adsorbed molecules.

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