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On the Jovanovic model of adsorption I. An extension for mobile adsorbed layers

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  • Colloid Science
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Summary

In addition to the mass exchange the equilibrium bulk phase exerts a hydrostatic pressure on the adsorbed phase: this hydrostatic pressure is a source of an additional positive adsorption. The Jovanovic kinetical derivation is the first one taking into account the mechanical contact between adsorbed and bulk phases in the case of the systems with localized admolecules without mutual interactions. At a same numerical values of parameters the Jovanovic isotherm predicts a greater adsorption than the Langmuir does.

Zusammenfassung

Außer dem Massenaustausch übt die gleichgewichtige freie Gasphase einen hydrostatischen Druck auf die adsorbierte Phase aus: dieser hydrostatische Druck ist eine Quelle einer zusätzlichen positiven Adsorption. Die kinetische Ausführung von Jovanovic ist die erste, die den mechanischen Kontakt zwischen den adsorbierten und freien Phasen in Betracht zieht im Falle von Systemen mit lokalisierten Admolekülen ohne gegenseitige Wirkung. Mit derselben Bedeutung und numerischen Wertender Parameter sagt die Jovanovic-Isotherme eine größere Adsorption als die Gleichung von Langmuir voraus.

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Abbreviations

a,a′,a“ :

characteristic constants for a given adsorption system

A :

relative coverage of surface

b,b′ :

characteristic system constants

B :

number of adsorption sites on an adsorbent surface

C :

a proportionality constant

j1:

canonical partition function for a fully localized admolecule in the first layer

k :

Bolzmann constant

m :

mass of adsorbate molecule

n :

subscript denoting incremental period of time

N :

number of adsorbed molecules (at equilibrium)

N *(n) :

number of residual adsorbed molecules in the incremental period(Δτ)(n)

N * :

total number of desorbed molecules

N **(n) :

number of molecules adsorbed within the period (Δτ)(n)

N ** :

total number of molecules adsorbed

N t :

overall adsorption isotherm

N 1 :

local adsorption isotherm

p :

pressure of adsorbate

q :

canonical molecular partition function for mobile admolecules

Q :

canonical system partition function

q in :

molecular partion function for internal degrees of freedom

q vx,y,z :

vibrational partition functionsof admolecules

S :

surface area of adsorbent

S * :

minimum change in the external thermodynamic variableS

T :

temperature in °K

α :

characteristic constant for a given adsorption system

β :

characteristic system constant

Δ :

isothermal-isobaric partition function

ε :

adsorption potential

φ :

= (2πmkT)-1/2

ξ :

area occupied by one adsorbate molecule

μ :

chemical potential of adsorbate

ν :

frequency of vibrations of admolecules

τ 1 :

average time of residence of an admolecule on surface

σ :

admolecule diameter

Ω :

range of variation of ε

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Author notes

  1. V. Kudzinski

    Present address: Department of Physical Chemistry, Institute of Chemistry UMCS, Lublin, Nowotki 12, Poland

Authors and Affiliations

  1. Department of Chemical Engineering, Queen's University, Kingston, Ontario, Canada

    V. Kudzinski & B. W. Wojciechowski

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  1. V. Kudzinski
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  2. B. W. Wojciechowski
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Kudzinski, V., Wojciechowski, B.W. On the Jovanovic model of adsorption I. An extension for mobile adsorbed layers. Colloid & Polymer Sci 255, 869–880 (1977). https://doi.org/10.1007/BF01617094

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  • DOI: https://doi.org/10.1007/BF01617094

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