Adsorption: Theory, Modeling, and Analysis (Surfactant by Jozsef Toth

By Jozsef Toth

Bargains an summary of the hot 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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Additional resources for Adsorption: Theory, Modeling, and Analysis (Surfactant Science Series, Volume 107)

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221) into Eq. À1 B exp F t ð226Þ From Eq. 0 Y ¼ ðKFT wF Þ1=t ¼ H P Taking Eq. (206) into account, we have  diff  kBÀt tU0 ðY ¼ 0Þ exp KFT ¼ RT wF ð227Þ ð228Þ that is, according to Eq. (209), KFT ¼ KT . It is evident that Eq. (224) is a thermodynamically consistent equation because lim P ¼ Pm ð229Þ Y¼1 The types of isotherms described by Eq. (224) are equal to those described by the FG and mFG equations. D. This is the reason why only the results are summarized here. In this sense, the value of BF where Eq.

122), let us calculate its function cðyÞ: cF ðYÞ ¼ 1 À BF Y 1ÀY ð124Þ It has been proven that the consistent Langmuir equation has the function cmL ðYÞ defined by Eq. (109); therefore, the consistent (modified) Fowler–Guggenheim (mFG) equation should have the following function: wF À BF Y cmF ðYÞ ¼ ð125Þ wF À Y Let us substitute Eq. (125) into Eq. (95). After integration, we have P ¼ Pm ðwF À 1Þ expðBF Þ Y expðÀBF YÞ wF À Y ð126Þ where the constant of integrations, IF , is IF ¼ Pm ðwF À 1Þ expðBF Þ ð127Þ Let us compare Eqs.

The corresponding (however, the different) values of Kx , tx , wx , and U0diff ðY ¼ 0Þ calculated using Eqs. (82), (228), (245), 257), and (210) are shown in Table 1. Interpretation of Adsorption Isotherms 55 FIG. 23 The To´th isotherms of Type I can be applied instead of FT isotherms of Type I. ). In these equations, the following parameters and values have been applied: M ¼ 16; T ¼ 273 K ð269Þ Therefore, according to Eq. (82), kB ¼ 2:346ð16 Â 273Þ1=2 Â 105 ¼ 155:049 Â 105 kPa ð270Þ RT ¼ 2:27 kJ=mol ð271Þ and So, U0diff ðY ¼ 0Þ ¼ RT lnðKx wx kB Þ t ð272Þ From the values shown in Table 1, the following conclusions of general validity can be drawn.

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