Abstract
The adsorption data of Gorbach et al. (Adsorption 10(1): 29–46, 2004) and Morris (J. Colloid Interface Sci. 28: 149–155, 1968) for the adsorption of water on 4A zeolite pellets is re-analyzed. Model isotherms are derived considering a two site hypothesis, one for the α cage and one for the β cage. Four simple model isotherms are fitted to the data. Both a dual site Toth or dual site Langmuir isotherm model fit the data adequately.
The optimized standard enthalpy and entropy of adsorption parameters derived from the data are surprising for the β cage. The optimized standard enthalpy of the β cage is 1/3rd of that observed calorimetrically, and the standard entropy of adsorption is positive, a physical impossibility. Substituting the calorimetric enthalpy of adsorption corrected the standard differential entropy of sorption values resulting in the standard entropy of sorption values varying significantly with temperature. This variation is postulated to be due to either water of hydration formation, or clathrate formation, or the formation of clusters of water such as dimers, trimers, etc.
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Abbreviations
- f i :
-
fractional size of site i
- K ci :
-
dimensionless equilibrium constant ci, c β for cage β and c α for cage α respectively
- K i :
-
equilibrium parameter i, 1 for cage β and 2 for cage α respectively, mbar1
- H i :
-
Henry constants, for cages β and α respectively, g/g.mbar
- H oi :
-
pre-exponential Henry parameter, g/g.mbar
- m max :
-
maximum number of terms in Ruthven model, ≡v/β H
- m i :
-
Toth equilibrium parameter, for cages β and α respectively, units
- \(MW_{\mathrm{H}_{2}\mathrm{O}}\) :
-
molecular weight of water
- n :
-
number of data points in regression calculations
- n max :
-
maximum molecules of water puc
- N o :
-
Avogadro’s number
- p :
-
pressure, mbar
- q :
-
adsorbed phase concentration, g/g
- q sat :
-
saturated adsorbed phase concentration, g/g
- q sat crystal :
-
saturated adsorbed phase concentration for pure 5A crystals, g/g
- R :
-
gas constant, kJ/mol.K
- t i :
-
toth heterogeneity parameter, dimensionless
- T :
-
temperature, K
- T C :
-
critical temperature, K
- V β :
-
volume of β cage, Å3
- V α or v :
-
volume of α cage, Å3
- V cell :
-
volume of pseudo unit cell of 5A, 1870 Å3
- y i,exp :
-
experimental data point, g/g
- y i,th :
-
theoretical data point, g/g
- Z:
-
zeolite
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Loughlin, K.F. Water isotherm models for 4A (NaA) zeolite. Adsorption 15, 337–353 (2009). https://doi.org/10.1007/s10450-009-9189-2
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DOI: https://doi.org/10.1007/s10450-009-9189-2