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3. Adsorption (20 marks). Consider a large container within which one confines an ideal clas- sical gas with mass m per molecule. Inside the container, there is a surface with N adsorption sites each of which can accommodate at most one molecule. When a site is occupied, its en- ergy is given by -e (€ > 0). The pressure of the container is kept at p and its temperature T. Calculate the fraction of the sites that is occupied by the molecules. Figure 1: There are N sites labeled blue on the bottom of the container on which a particle (red) can be adsorbed. The container is maintained at pressure p and temperature T.