Adsorption Theory Modeling and Analysis Toth by Jozsef Toth PDF
By Jozsef Toth
Bargains an outline of the hot theoretical and sensible effects accomplished in gas-solid (G/S), liquid-solid (L/S), and gas-liquid (G/L) adsorption examine.
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To´th 36 FIG. 14 Limiting values of the parameters BB and wB determining the types of BH and mBH isotherms. The mathematically uniform and thermodynamically consistent interpretation of the mBH equation are shown in Figs. 15–17. The function YðPÞ, YðPr;m Þ, cðYÞ, Asr ðYÞ, and Asr ðPr;m Þ in these ﬁgures are similar to the corresponding relationships in Figs. 10–12. The essential and immediately observable difference can be seen in the function cðPÞ (see Figs. 10 and 15, top right). H. G. Physical Interpretation of Constants K x Present in the Modiﬁed Isotherm Equations Applied to Homogeneous Surfaces Equations (120), (129), (161), and (175) mathematically deﬁne the constants KL , KmF , KmV , and KmB present in the corresponding isotherm equations.
157), it follows that wV > wV À Y ð167Þ that is, in the whole domain of coverage, it is valid that cmV ðYÞ > 1 ð168Þ This means that the mobility of adsorbed molecules cannot cause a change in the type of isotherm. This change may only happen if the interactions between the adsorbed molecules are taken into account, as it is done by the mFG equation. Interpretation of Adsorption Isotherms 33 The mathematically uniform and thermodynamically consistent interpretation of the mV equation is represented in Fig.
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
Adsorption Theory Modeling and Analysis Toth by Jozsef Toth