In: Mechanical Engineering
Consider a surface that has N sites each of which can adsorb one gas molecule. suppose that it is in contact with a gas with the chemical potential u. Assume that an adsorbed molecule has energy -e0 compared to one in the gas phase. Show that the surface coverage T (the ratio of adsorbed molecules to adsorbing sites) is given as
T=1/(exp(-(u+e0)/kT)+1). (Hint: You can ignore the volume change upon adsorption, which means that the Gibbs free energy is equal to the Helmholtz free enrgy in this system.)