Abstract
The saturation loadings for subcritical adsorption of multi-atomic inorganic species, halocarbons and oxygenated hydrocarbons on 13X zeolite are modeled using the modified Rackett model of Spencer and Danner (J. Chem. Eng. Data 17(2):236–240, 1972) for the saturated liquid densities combined with crystallographic data for the 13X zeolite. A similar equation is used for supercritical adsorption involving supercritical adsorbate densities and crystallographic data for the 13X zeolite employing a different f(Tr) expression than used by Spencer and Danner. Adsorption data from the literature are first critically evaluated and then compared to the model. Log–log plots are used to determine whether each isotherm is near saturation; isotherms that exhibit a \(\left( {\partial \ln q} \right)/\left( {\partial \ln p} \right)\) slope of zero at the maximum pressure point are assumed to be saturated (capillary condensation points are deleted). The highest loading is used from each isotherm that approaches saturation. Unsaturated isotherms are not considered further. The theoretical equation satisfactorily models the available experimental data for the data that is subcritical except for water and methanol. However, steric factors are required in the model for tetrafluoromethane, sulfur hexafluoride and the aldehydes. The adsorption data for ethyl acetate is questionable. A significant amount of data in the supercritical region (tetrafluouromethane, and hexafluoroethane) revealed a decreasing trend with increasing Tr. For this data a f(Tr) is modeled using TCAR and the slope of the decreasing linear plot against Tr. The physical phenomenom causing this effect is attributed to increasing molecular vibration in the cavity reducing the total molecular loading with temperature rise.
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Abbreviations
- b:
-
Dimensionless slope of f(Tr) plot versus saturation loading
- MW:
-
Molecular weight, g/mol
- Pc :
-
Critical pressure, kPa
- Pr :
-
Reduced pressure
- q:
-
Zeolite loading, g/100 g zeolite crystal
- qmax :
-
Maximum zeolite loading, g/100 g zeolite crystal
- qmax,c :
-
Theoretical maximum zeolite loading at the critical temperature, defined by Eq. 5, g/100 g zeolite crystal
- R:
-
Gas constant, 8314 kPa cm3/gmol K
- Tc :
-
Critical temperature, K
- TCAR :
-
Reduced critical adsorbate temperature
- Tr :
-
Reduced temperature
- Vβ cage :
-
Volume of the β cage, 150 Å3
- Vlarge cage :
-
Volume of the large cage, 900 Å3
- Zc :
-
Critical compressibility
- ZRA :
-
Rackett parameter
- Γ:
-
Normalized loading, dimensionless, calculated in Eqs. 6 and 7
- εZ :
-
Crystallographic 13X zeolite void fraction, 0.428 (p. 133)
- λ:
-
Steric factor, used in Eq. 7
- ρZ :
-
Zeolite 13X crystallographic density, 1.43 g/cm3 (p. 133)
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The authors wish to acknowledge the support of the American University of Sharjah.
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10450_2017_9916_MOESM1_ESM.png
Fig. S1 qmax calculated from Rackett’s equation and crystal properties for 13X zeolite as a function of reduced temperature (PNG 109 KB)
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Fig. S2a Water isotherms. Reduced temperatures are indicated as labels. Isotherms in grey are inconsistent with others, and so are screened out. Isotherms that attain saturation have an unbroken line. Isotherms that have not attained or approached saturation have a dotted line (PNG 57 KB)
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Fig. S2b Water isotherms for studies of the first group. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line (PNG 51 KB)
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Fig. S2c Water isotherms for studies of the second group. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line. Isotherms that have not attained or approached saturation have a dotted line (PNG 59 KB)
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Fig. S2d Log–log plot of water isotherms for studies of the first group. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line. Isotherms that have not attained or approached saturation have a dotted line (PNG 48 KB)
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Fig. S2e Log-log plot of water isotherms for studies of the second group. Reduced temperatures are indicated as labels. Isotherms in grey are inconsistent with others, and so are screened out. Isotherms that attain saturation have an unbroken line. Isotherms that have not attained or approached saturation have a dotted line (PNG 57 KB)
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Fig. S3a Ammonia isotherms. Reduced temperatures are indicated as labels. Isotherms in grey are inconsistent with others, and so are screened out. Isotherms that attain saturation have an unbroken line. Isotherms that have not attained or approached saturation have a dotted line. Data points that are deleted are in grey (PNG 43 KB)
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Fig. S3b Log-log plot of ammonia isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line. Isotherms that have not attained or approached saturation have a dotted line (PNG 28 KB)
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Fig. S4a Sulfur hexafluoride isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line. Isotherms that have not attained or approached saturation have a dotted line (PNG 40 KB)
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Fig. S4b Log-log plot of sulfur hexafluoride isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line. Isotherms that have not attained or approached saturation have a dotted line (PNG 15 KB)
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Fig. S5a Dichloromethane (C2H2Cl2) isotherm. Reduced temperature is indicated as a label. The Isotherm has attained saturation and has an unbroken line (PNG 35 KB)
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Fig. S5b Log-log plot of dichloromethane (C2H2Cl2) isotherm. Reduced temperature is indicated as a label. The Isotherm has attained saturation and has an unbroken lin (PNG 9 KB)
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Fig. S6a Tetrafluouromethane (CF4) isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line. Isotherms that have not attained or approached saturation have a dotted line (PNG 46 KB)
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Fig. S6b Log-log plot of Tetrafluouromethane (CF4) isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line. Isotherms that have not attained or approached saturation have a dotted line (PNG 36 KB)
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Fig. S7a Hexafluouroethane (C2F6) isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line. Isotherms that have not attained or approached saturation have a dotted line (PNG 25 KB)
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Fig. S7b Log-log plot of hexafluoroethane (C2F6) isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line. Isotherms that have not attained or approached saturation have a dotted line. Data points that are deleted are in grey (PNG 31 KB)
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Fig. S8a Perfluorodimethylcyclohexane (C8F16) isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line. Isotherms that have not attained or approached saturation have a dotted line. Data points that are deleted are in grey (PNG 17 KB)
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Fig. S8b Log-log plot of perfluorodimethylcyclohexane (C8F16) isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line (PNG 35 KB)
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Fig. S9a Isotherms for other halocarbons. Labels designate species and reduced temperatures. Isotherms that attain saturation have an unbroken line. Data points that are deleted are in grey (PNG 10 KB)
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Fig. S9b Log-log plot of isotherms for other halocarbons. Labels designate species and reduced temperature. Isotherms that attain saturation have an unbroken line (PNG 23 KB)
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Fig. S10a Methanol isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line (PNG 16 KB)
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Fig. S10b Log-log plot of methanol isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line (PNG 20 KB)
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Fig. S11a Acetaldehyde (CH3CHO) isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line (PNG 22 KB)
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Fig. S11b Log-log plot of acetaldehyde (CH3CHO) isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line (PNG 7 KB)
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Fig. S12a Propionaldehyde (C2H5CHO) isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line. Data points that are deleted are in grey (PNG 15 KB)
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Fig. S12b Log-log plot of propionaldehyde (C2H5CHO) isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line (PNG 7 KB)
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Fig. S13a Butyraldehyde (C3H7CHO) isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line. Data points that are deleted are in grey (PNG 22 KB)
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Fig. S13b Log-log plot of butyraldehyde (C3H7CHO) isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line (PNG 7 KB)
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Fig. S14a Ethyl acetate isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line. Isotherms that have not attained or approached saturation have a dotted line (PNG 15 KB)
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Fig. S14b Log-log plot of ethyl acetate isotherms. Reduced temperatures are indicated as labels. Isotherms that attain saturation have an unbroken line. Isotherms that have not attained or approached saturation have a dotted line (PNG 19 KB)
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Fig. S15a Plot of water data in the subcritical regions, with predicted model. The data for water do not fit the model and are correlated (PNG 17 KB)
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Fig. S15b Plot of ammonia and sulfur hexafluoride data in the subcritical and supercritical regions, with predicted model. The data for SF6 is regressed using a steric factor (PNG 22 KB)
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Fig. S15c Plot of C8F16 data in the subcritical region, with predicted model. The data lie between two isomers of the model (PNG 20 KB)
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Fig. S15d Data for hydrogenated halocarbons, except for C8F16, in the subcritical and supercritical regions, with predicted model. The data is correlated in the supercritical region (PNG 42 KB)
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Fig. S15e Plot of methanol data in the subcritical region, with predicted model. The data do not fit the model and are correlated (PNG 25 KB)
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Fig. S15f Plot of aldehyde data in the subcritical region, with predicted model. The data for all three aldehydes are regressed using steric factors (PNG 11 KB)
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Fig. S15g Plot of ethyl acetate in the subcritical region, with predicted model. All the data appear erroneous (PNG 33 KB)
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Fig. S16a Gamma plot for all species (with steric factor where applicable) except water, methanol and ethyl acetate (PNG 13 KB)
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Loughlin, K.F., Abouelnasr, D. & al Mousa, A. Saturation loadings on 13X (Faujasite) zeolite above and below the critical conditions. Part IV: inorganic multi-atomic species, halocarbons and oxygenated hydrocarbons data evaluation and modeling. Adsorption 24, 81–94 (2018). https://doi.org/10.1007/s10450-017-9916-z
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DOI: https://doi.org/10.1007/s10450-017-9916-z