By Jozsef Toth
Deals an summary of the hot theoretical and sensible effects completed in gas-solid (G/S), liquid-solid (L/S), and gas-liquid (G/L) adsorption study.
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Additional info for Adsorption: Theory, Modeling, and Analysis (Surfactant Science Series, Volume 107)
10–12 the thermodynamically consistent and uniform interpretation of isotherms Types I, III, and V, respectively, are shown. In these ﬁgures, quite equal to Fig. 6, are represented the functions YðPÞ, cðPÞ, YðPr;m Þ, cðYÞ, Asr ðYÞ, and Asr ðPr;m Þ. The calculations of these functions have been made as follows: Top (left): The applied mFG equations are P¼ 1 Y expðÀBF YÞ KmF wF À Y ð140Þ The types of isotherms in Figs. 10–12 have been determined by the corresponding values of wF and BF (see Fig. 8).
Top (right): cFT ðYÞ ¼ wF À BYt wF À Y t The corresponding pairs ðcFT ; PÞ of Eqs. (234) and (235) are plotted. ð235Þ To´th 48 Middle (left): Pr;m ¼ Eq: ð224Þ : Eq: ð226Þ ð236Þ Middle (right): Equation (235) has been applied. Bottom (left): ðl Asr ðYÞ ¼ cFT ðYÞ dY ð237Þ Y The integration has been performed numerically. Bottom (right): The conjugated pairs of Asr ðYÞ and Eq. (236) are plotted. For practical applications of Eq. 29), a four-parameter ﬁtting process is proposed, where the parameters to be iterated are IFT , wT , t, and BF .
Interpretation of Adsorption Isotherms 37 FIG. 15 The uniform and thermodynamically consistent interpretation of the mBH isotherms of Type I. The values of parameters are as follows: KB ¼ 0:50 kPaÀ1 , wB ¼ 1:00, BB ¼ 1:50, Pm ! 1 (solid line, original BH equation); KmB ¼ 1:1 kPaÀ1 , wB ¼ 1:20, BB ¼ 1:40, Pm ¼ 166:4 kPa ð Á Á Á Á Þ; KmB ¼ 0:1 kPaÀ1 , wB ¼ 1:30, BB ¼ 1:40, Pm ¼ 230:4 kPa ð Þ; KmB ¼ 0:15 kPaÀ1 , wB ¼ 1:4, BB ¼ 0:40, Pm ¼ 136 kPa ð Á Á Þ. 0 P ð187Þ ð188Þ To´th 38 FIG. 16 The uniform and thermodynamically consistent interpretation of the mBH isotherms of Type III.
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