For the surface adsorption model of the preceding Example, investigate the mean number of molecules...

Question

For the surface adsorption model of the preceding Example, investigate the mean number of molecules adsorbed per site () in the limit T→ 0, for all combinations of signs and relative magnitudes of (ϵ₁ + µ₀) and (ϵ₂ + 2µ₀), where µ₀ is the value of the µ of the gas at T = 0. Explain these results heuristically.

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Question:  
For the surface adsorption model of the preceding Example, investigate the mean 
number of molecules adsorbed per site ( ) in the limit T→ 0, for all combinations of 
signs and relative magnitudes of (ϵ1 + µ0) and (ϵ2 + 2µ0), where µ0 is the value of the µ 
of the gas at T = 0. Explain these results heuristically. 
Solution: 
In adsorption process, if the gas molecules are in contact with solid surface, they can 
adsorb to specific/active sites on the surface of solid.  
 N adsorption sites are present in total where gas molecules can occupy the position, 
Amongst N site each can adsorb n = 0, n = 1, or n = 2 molecules. In some 
circumstances, if any site is not adsorbing any molecule i.e. site is unoccupied then, the 
energy of the site is zero. 
When an adsorption site is occupied by a single molecule, the energy of the site is -ε1.

For the surface adsorption model of the preceding Example, investigate the mean number of molecules adsorbed per site ( ) in the limit T→ 0, for all combinations of signs and relative magnitudes of (ϵ...

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