Question: Consider a solid surface to be a two-dimensional lattice with M sites and N atoms are adsorbed on the surface. The energy of an occupied

Consider a solid surface to be a two-dimensional lattice with M sites and N atoms are adsorbed on the surface. The energy of an occupied site becomes lower by . Assume that atoms on the surface do not interact with each other, and also so that each site has either 0 or 1 adsorbed atom.

(a) If the surface is at temperature T, what is the chemical potenital of the adsorbed atoms?

(b) Suppose an ideal gas of similar atoms of at temperature T and pressure p. There are n atoms per volume. In the case that the surface is in equilibrium with this ideal gas, find out the ratio N/M.

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