Q:

At a given temperature T , a surface with No adsorption centers has N

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At a given temperature T , a surface with No adsorption centers has  No adsorbed molecules. Suppose that there are no interactions between molecules. Show that the chemical potential of the adsorbed gas is given by

What is the meaning of the function a (T )?

 

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Suppose an adsorbed particle has energy -x. We then write the canonical partition function

Now we can use the grand-canonical formalism to write

from which we have

and the expression for the chemical potential with a = exp (βε).

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