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Thermodynamic characterisation of adsorptive gas/adsorbent systems using the ALIc-model

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Abstract

The ALIc-Model is a thermodynamically consistent pore filling model which allows microporous and mesoporous adsorptive gas/adsorbent systems to be described and compared directly. Examples of this will be shown on 20 systems. To this end, the standard-molar-free-enthalpy of adsorption is divided into a material-specific concentrate term and a geometric mixing term. At standard pressure and boiling temperature, all the curves of the standard-molar-free-enthalpy of adsorption as a function of the degree of pore filling end at the point of free-enthalpy of adsorption = 0 and at the degree of pore filling = 1. From these characteristic curves, finite molar values for free-enthalpy, enthalpy and entropy of adsorption can be calculated for the adsorbate-concentrate at a negligible degree of pore filling. Alkanes on activated carbons and CO2 on Zeolite 5A are used as demonstrating examples. These values and curves obtained from measurement of adsorption-isotherm-fields enable the interaction of the adsorbate with the adsorbent to be characterized, thus providing additional information for adsorption processes and for the development of adsorbents.

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Abbreviations

A(Ξ):

Polanyi potential

m i :

Mass of component i (kg)

MW:

Molecular weight (g/mol)

n i :

Mol of component i (mol)

p i :

Partial pressure of component i (bar)

T :

Temperature, absolute (K)

T B :

Boiling temperature at 1 bar (K)

T S :

Boiling temperature of the vapour pressure curve

V :

Volume under standard conditions (m 3 N )

V ads :

Specific accessible geometric adsorption volume (ml/100 g)

X i  = m i /m s , X i,max = m i,max/m s :

Mass loading of adsorbent s by adsorptive gas i (g/100 g)

ΔH :

Difference in molar-enthalpy (J/mol)

ΔS :

Difference in molar-entropy (J/(mol K)

ΔG :

Difference in molar-free-enthalpy (J/mol)

\( \beta (T) = \frac{1}{{V_{m} (T,p)}} \cdot \left( {\frac{{\partial V_{m} }}{\partial T}} \right)_{p} \) :

Isobaric volume expansion coefficient (1/K)

ρ:

Density (kg/m3)

\( \Upxi = {{X_{i} } \mathord{\left/ {\vphantom {{X_{i} } {X_{i,\hbox{max} } }}} \right. \kern-0pt} {X_{i,\hbox{max} } }} \) :

Degree of pore filling (−)

R :

General molar gas constant (\( 8,314\:\frac{\text{J}}{{{\text{mol}}\,{\text{K}}}} \))

ACC:

Activated carbon fibre cloth (−)

isochor:

Isochoric

std:

Standard

a :

In relation to the substance to be adsorbed

as :

In relation to the adsorbed substance

ads :

In relation to adsorption

abs :

Absolute

B :

In relation to standard boiling pressure of 1 bar

crit :

Critical

con :

In relation to condensation

Conc :

In relation to the concentrate

excess :

Excess

i :

Component i, general

liq :

In relation to the liquid phase

max :

Maximum

mix :

In relation to mixing

mean :

In relation to a mean value

0AA :

In relation to the degree of pore filling 0, adsorbate, adsorbed substance

s :

In relation to the adsorbent

S :

In relation to the liquid–vapour equilibrium

std :

Standard

exp :

Fitting parameter, exponential

h·ex :

Fitting parameter, exponential in terms of H

s·ex :

Fitting parameter, exponential in terms of S

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Authors and Affiliations

  1. Institut für Physikalische Prozesstechnik in der HTW, Hochschule für Technik und Wirtschaft des Saarlandes (University of Applied Sciences), Goebenstr. 40, 66117, Saarbrücken, Germany

    Klaus Kimmerle

  2. Schippert + Partner, Lessingstr. 28, 66121, Saarbrücken, Germany

    Egbert Schippert

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  1. Klaus Kimmerle
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  2. Egbert Schippert
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Correspondence to Klaus Kimmerle.

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Kimmerle, K., Schippert, E. Thermodynamic characterisation of adsorptive gas/adsorbent systems using the ALIc-model. Adsorption 19, 1093–1108 (2013). https://doi.org/10.1007/s10450-013-9520-9

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