By Jozsef Toth

Deals an outline of the new theoretical and functional effects accomplished in gas-solid (G/S), liquid-solid (L/S), and gas-liquid (G/L) adsorption learn.

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**Sample text**

239). To´th 54 8. If t > 1, Bx ¼ BB , and a ¼ 1 (heterogeneous surface, interactions, mobile layer), then we have the BT equation: & ' & ' 1 B Y Yt BB Yt þ B exp P ¼ Pm ðwB À 1Þ1=t exp À À t ðwB À Yt Þ1=t t tðwB À 1Þ tðwB À Yt Þ See Eq. (251). F. Applicability of the To´th Equation to all Isotherms of Type I Measured on Heterogeneous Surfaces Let us compare the functions cðPÞ corresponding to To´th, FT, VT, and BT equations shown in the top right of Figs. 19–22, respectively. Thus, it is observable that if the values of parameter t are between 0 and 1, that is, 0

8. However, the numerical values of relationships corresponding to the mBH equation differ from those plotted in Fig. 8. The starting point of our considerations is again the calculation of the values of BB which meet the condition djðYÞ ¼0 dY Interpretation of Adsorption Isotherms 35 Thus, we obtain 2 wB BB ¼ YÀ1 wB À Y ð177Þ Equation (177) corresponds to Eq. (133). The absolute minimum points, corresponding to Eq. (134) are Ymin ¼ 0:3333wB ð178Þ The minima of BB , corresponding to Eq. (135) are BB;min ¼ 6:75 wB ð179Þ The values of BB which meet the condition cB ðYÞ ¼ 1 are BB ¼ 2wB À Y ðwB À YÞ2 ð180Þ Equation (180) corresponds to Eq.

B. The Modiﬁed Fowler–Guggenheim Equation Applied to Heterogeneous Surfaces (FT Equation) The modiﬁed, therefore, the consistent, mFG equation is applicable to homogeneous surfaces. As has been demonstrated, its explicit form is P¼ 1 Y expðÀBF YÞ KmF wF À Y ð219Þ The corresponding function cmF ðYÞ has the form cmF ðYÞ ¼ wF À BF Y: wF À Y ð220Þ According to To´ths idea Eq. (220) expresses the heterogeneity of the surface if the parameter as a power is introduced; that is, cFT ðYÞ ¼ wF À BF Yt wF À Y t t>0 Substituting Eq.