By Jozsef Toth

Deals an summary of the new theoretical and functional effects completed in gas-solid (G/S), liquid-solid (L/S), and gas-liquid (G/L) adsorption study.

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**Extra resources for Adsorption: Theory, Modeling, and Analysis (Surfactant Science Series, Volume 107)**

**Example text**

For practical applications of the mFG equation and for calculations of constants Km;F , wF , BF , and Pm, a three-parameter ﬁtting procedure is recommended. In particular, Eq. (126) can be written in the form P ¼ IF Y expðÀBF YÞ wF À Y ð148Þ Equation (148) can be ﬁtted to the measured points ðY; PÞ with parameters IF , wF , and BF . The average percentile deviation ðD%Þ has been calculated using the following relationship: N ðP À P 1 P c Â 100 ð149Þ D% ¼ P N i¼1 Interpretation of Adsorption Isotherms 31 where P is the measured equilibrium pressure, Pc is calculated equilibrium pressures, and N is the number of the measured points ðY; PÞ.

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. 28 To´th FIG. 11 The uniform and thermodynamically consistent interpretation of the mFG isotherms of Type III.

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.