By Jozsef Toth
Bargains 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.
Read Online or Download Adsorption: Theory, Modeling, and Analysis (Surfactant Science Series, Volume 107) PDF
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Extra info for Adsorption: Theory, Modeling, and Analysis (Surfactant Science Series, Volume 107)
128), it is essential to calculate the function BF ðYÞ which fulﬁls the condition cmF ðYÞ ¼ 1 ð136Þ According to Eq. (125), condition (136) is met by the following values of BF and Y: BF ¼ 1 wF À Y In Fig. 8, functions (137) are shown with dash-dot-dot lines. ð137Þ Interpretation of Adsorption Isotherms 25 FIG. 8 Limiting values of parameters BF and wF determining the types of FG and mFG isotherm. Mathematically, the condition cðYÞ ¼ 1 means that all values of Y present in Eq. (137) can be drawn from the origin proportional lines.
To´th 34 F. The Uniform and Consistent Interpretation of the Modiﬁed de Boer–Hobson Equation Both the mobility and the interactions are taken into account by the de Boer–Hobson (BH) equation , having the following explicit form: 1 Y À BB Y exp P¼ ð169Þ KB À Y 1ÀY The corresponding function cB ðYÞ is 2 1 ÀBB Y cB ðYÞ ¼ 1ÀY ð170Þ Equation (170) is also thermodynamical inconsistent because the limiting value is Y ¼ 1 if P ! 1, with a plateau on the isotherms. To derive the consistent form, the modiﬁed form of the function cB ðYÞ is also required: 2 wB ÀBB Y ð171Þ cmB ðYÞ ¼ wB À Y Substitution of Eq.
147) is valid are excellent and very simple parameters characterizing the adsorption system investigated. 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.