By Jozsef Toth
Bargains an summary of the hot theoretical and sensible effects accomplished in gas-solid (G/S), liquid-solid (L/S), and gas-liquid (G/L) adsorption study.
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Additional resources for Adsorption Theory Modeling and Analysis Toth
109); therefore, the consistent (modiﬁed) Fowler–Guggenheim (mFG) equation should have the following function: wF À BF Y cmF ðYÞ ¼ ð125Þ wF À Y Let us substitute Eq. (125) into Eq. (95). After integration, we have P ¼ Pm ðwF À 1Þ expðBF Þ Y expðÀBF YÞ wF À Y ð126Þ where the constant of integrations, IF , is IF ¼ Pm ðwF À 1Þ expðBF Þ ð127Þ Let us compare Eqs. (126) and (127) with Eq. (122); we have P¼ 1 Y expðÀBF YÞ KmF wF À Y ð128Þ where KmF ¼ IFÀ1 ¼ ½Pm ðwF À 1Þ expðBF ÞÀ1 ð129Þ Pm ¼ IF ½ðwF À 1Þ expðBF ÞÀ1 ð130Þ or Therefore, the consistent form of the FG equation is relationship (128).
F. It is also remarkable that the isotherms of Type I with different parameters t are very similar relationships; however, the corresponding functions cðPÞ in the top (right) of Fig. 19 are very different and characteristic. Thus, the selection of the appropriate parameter t can be made with the help of function (214). B. The Modiﬁed Fowler–Guggenheim Equation Applied to Heterogeneous Surfaces (FT Equation) The modiﬁed, therefore, the consistent, mFG equation is applicable to homogeneous surfaces.
The relative changes in free energy of the surface shown in Figs. 10–12) characterize thermodynamically the adsorption processes. In particular, in Fig. 11, (isotherms of Type III) Asr ðYÞ < 1 ð145Þ is valid in the whole domain of coverage; that is, Asr ðYÞ < Asid ð146Þ This means that the change in free energy of the surface is always less than that would have been caused by a two-dimensional ideal monolayer completed on a homogeneous surface. However, for isotherms of Type I and V (in Figs.
Adsorption Theory Modeling and Analysis Toth by Jozsef Toth