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Free energy change during adsorption 
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#1
May813, 06:06 AM

P: 169

Hi,
Suppose I have a dissociative adsorption reaction and want to find the free energy change ΔF, this can be written at constant temperature: [itex] \Delta F = \Delta E T\Delta S[/itex] Now given the adsorption energy [itex] \Delta E_{ads} [/itex] I would like to extrapolate the Free energy assuming that the adsorbate is an ideal gas since I know the experimental entropy. I Assume that the vibrations from the adsorped moleule does not perturb the substrate vibrations and also that the configurational entropy is not changes(maybe rough): [itex] \Delta S = S_{ads}S_{noads}[/itex] [itex] S_{ads} = S_{subs+a}  S_{subs}S_{a} = \Delta S_{vib,gas} S_{gas}[/itex] The vibrations term does not need to be extrapolated but the gas term does so: [itex] S_{gas} = S^{\theta}_{gas}  c_p\log(\dfrac{T}{T^{\theta}}) + k_b\log(\dfrac{p}{p^{\theta}})[/itex] I feel like i am missing a term of the type [itex] \dfrac{7}{2}k[/itex] since the translation of the gas is not possible when adsorbed. Does anyone know if I am right? 


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