By Jozsef Toth
Bargains an outline of the new theoretical and sensible effects accomplished in gas-solid (G/S), liquid-solid (L/S), and gas-liquid (G/L) adsorption learn.
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Extra info for Adsorption: Theory, Modeling, and Analysis (Surfactant Science Series, Volume 107)
10–12 have been determined by the corresponding values of wF and BF (see Fig. 8). Interpretation of Adsorption Isotherms 27 FIG. 10 The uniform and thermodynamically consistent interpretation of the mFG isotherms of Type I. The values of the parameters are as follows: KF ¼ 0:08 kPaÀ1 , wF ¼ 1:0, BF ¼ 0:8, Pm ! 1 (solid line, original FG equation); KmF ¼ 0:04 kPaÀ1 , wF ¼ 1:03, BF ¼ 0:7, Pm ¼ 413:8 kPa ð Á Á Á Á Þ; Þ; KmF ¼ 0:08 kPaÀ1 , wF ¼ 1:05, KmF ¼ 0:06 kPaÀ1 , wF ¼ 1:04, BF ¼ 0:5, Pm ¼ 252:7 kPa ð BF ¼ 0:8, Pm ¼ 112:3 kPa ð Á Á Þ.
The calculation of the total monolayer capacity, nsm , is discussed in detail in Section VI. C. The Modiﬁed Volmer Equation Applied to Heterogeneous Surfaces (VT Equation) The thermodynamically consistent (modiﬁed) mV equation and its function cmV ðYÞ have been deﬁned by Eqs. (160) and (157), respectively. Introducing the parameter t proposed by To´th, we obtain 2 wV ; t>0 ð238Þ cVT ðYÞ ¼ wV À Y t Substitution of Eq. (238) into Eq. Àt ð242Þ ' ð243Þ Interpretation of Adsorption Isotherms 49 Taking Eq.
221) into Eq. À1 B exp F t ð226Þ From Eq. 0 Y ¼ ðKFT wF Þ1=t ¼ H P Taking Eq. (206) into account, we have diff kBÀt tU0 ðY ¼ 0Þ exp KFT ¼ RT wF ð227Þ ð228Þ that is, according to Eq. (209), KFT ¼ KT . It is evident that Eq. (224) is a thermodynamically consistent equation because lim P ¼ Pm ð229Þ Y¼1 The types of isotherms described by Eq. (224) are equal to those described by the FG and mFG equations. D. This is the reason why only the results are summarized here. In this sense, the value of BF where Eq.