Consider the adsorption of H2O molecules onto the surface of silica. We can model the process by treating the silica as a lattice with M binding...

Consider the adsorption of H2O molecules onto the surface of silica. We can model the process by treating the silica as a lattice with M binding sites, each with binding energy ε > 0.

A) Find the partition function for the case where N molecules of H2O are bound onto the lattice. Neglect any internal motion of the H2O molecules (i.e., only consider the binding interaction).

B) Find the water potential μH2O, and rewrite it in terms of the lattice saturation fraction N/M.