A surface with (N_{0}) adsorption centers has (Nleft(leq N_{0}ight)) gas molecules adsorbed on it. Show that the
Question:
A surface with \(N_{0}\) adsorption centers has \(N\left(\leq N_{0}ight)\) gas molecules adsorbed on it. Show that the chemical potential of the adsorbed molecules is given by
\[
\mu=k T \ln \frac{N}{\left(N_{0}-Night) a(T)},
\]
where \(a(T)\) is the partition function of a single adsorbed molecule. Solve the problem by constructing the grand partition function as well as the partition function of the system.
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The partition function of the adsorbed molecules assumed noninteracting is given by beginequation Q...View the full answer
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