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Consider a surface that has N sites each of which can adsorb one gas molecule. suppose...

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Mechanical Engineering

Consider a surface that has N sites each of which can adsorb onegas molecule. suppose that it is in contact with a gas with thechemical potential u. Assume that an adsorbed molecule has energy-e0 compared to one in the gas phase. Show that the surfacecoverage T (the ratio of adsorbed molecules to adsorbing sites) isgiven as

T=1/(exp(-(u+e0)/kT)+1). (Hint: You can ignore the volume changeupon adsorption, which means that the Gibbs free energy is equal tothe Helmholtz free enrgy in this system.)

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