2. A system of adsorbed gas molecules can be treated as a mixture system formed by two species: one representing adsorbe

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2 A System Of Adsorbed Gas Molecules Can Be Treated As A Mixture System Formed By Two Species One Representing Adsorbe 1 (43.49 KiB) Viewed 35 times

2. A system of adsorbed gas molecules can be treated as a mixture system formed by two species: one representing adsorbed molecules (occupied sites) and the other representing ghost particles (unoccupied sites). Let gi be the molecular partition of an adsorbed molecule (occupied site) and go be the molecular partition of the ghost particles (empty sites). Now consider at certain temperature an adsorbent surface that has a total number of M sites of which are occupied by molecules that can move around two dimensionally. Therefore, both the adsorbed molecules and the ghost particles are indistinguishable. (a) (15 pts) Formulate canonical partition function Q(N.V.7) for the system based on the given qo and qi (b) (15 pts) Use your Q to obtain surface coverage, 0 =- as a function of gas pressure. For your M information, the chemical potential of the molecules in gas phase is h. - k7 in P+4 (c) (10 pts) Will increasing 9ı increase or decrease adsorption (surface coverage)? Explain your 91 answer based on your result of (b).