The Adsorption of C
4
Unsaturated Hydrocarbons on Highly
Dehydrated Silica. An IR-Spectroscopic and
Thermodynamic Study
Giuliana Magnacca* and Claudio Morterra
Department of Chemistry IFM, University of Turin, and Consortium INSTM,
Research Unit of Turin University, Via P. Giuria 7, 10125 Torino, Italy
Received October 25, 2004. In Final Form: February 1, 2005
The adsorptive interaction of 1-butyne and 1-butene with a highly dehydrated pyrogenic silica system
has been studied to understand the thermodynamic behavior of the adsorption process by the application
of the Langmuir model and of the Van’t Hoff equation. In situ FTIR spectroscopy allowed the characterization
of the adsorption phenomenon in terms of involved surface sites, gas-volumetric determinations yielded
quantitative information relative to the adsorption process, and microcalorimetric results allowed the
comparison between calculated and experimental data. Keq and ΔadsG° were obtained from Langmuir’s
model application; ΔadsH data were obtained from the Van’t Hoff equation and by the isosteric heats
method and were compared with experimental values. The virtual constancy of ΔadsH with equilibrium
pressure and surface coverage (Langmuir model) allowed us to obtain the ΔadsH° values and, consequently,
the ΔadsS° values for the systems of interest.
Introduction
It is known that adsorption phenomena are hard to
interpret in terms of thermodynamic behavior. One of the
few ways through which it is possible to obtain thermo-
dynamic information on an adsorption process is to
examine it in terms of a simple mechanism. The most
convenient of such mechanisms is that described by
Langmuir’s theory, but very seldom do the experimental
data obtained with real systems fit in a sufficiently wide
range of experimental conditions that the oversimplified
Langmuir model actually predicts.
In view of its convenience, Langmuir’s model has been
applied in various fields. Most often the studies concern
the kinetics of adsorption of complex molecules (sucrose,
amino acids) or metal ions on solids from a liquid phase
(e.g., see ref 1), because the average homogeneity of the
solid/liquid interface guarantees a better applicability of
the model; sometimes reasonable results have been
obtained also with gas-solid adsorption (e.g., see ref 2).
The Langmuir model for nondissociative adsorption
3
concerns the one-to-one interaction between a gas molecule
(A) and a surface adsorbing site (M) to form the surface
complex (A-M), according to the equilibrium reported in
the following scheme:
where k
a
is the rate constant for adsorption and k
d
is that
for desorption.
Other conditions imposed by the Langmuir model are:
(i) the adsorption process is reversible and cannot
proceed beyond the monolayer coverage;
(ii) the surface is uniform and all sites are equivalent
(i.e., there is no intrinsic heterogeneity); and
(iii) adsorbed molecules do not interact with one another
(i.e., there is no induced heterogeneity).
The first form of the Langmuir isotherm (i.e., the form
first proposed by Langmuir) is:
where p is the equilibrium gas pressure, θ is the surface
coverage, and b (the so-called Langmuir constant) is b )
k
a
/k
d
) K
eq
, that is, the thermodynamic equilibrium
constant.
On rearranging the first θ versus p equation, the second
form of the Langmuir isotherm is obtained:
which is the form currently used to confirm the ap-
plicability of Langmuir’s model to the experimental data.
Although the conditions imposed by the starting Lang-
muir hypotheses are quite strict and not very realistic on
a physicochemical ground, some adsorbent/adsorbate
systems have been reported that do agree with the
Langmuir equations. In particular, as was recently
demonstrated by Garrone et al.,
4,5
the adsorption of several
alkenes and alkynes on highly dehydrated nonporous silica
is actually describable in terms of Langmuir’s equation
because: (i) uptake is largely limited to a monolayer (the
interaction implies a specific and reversible H-bonding to
surface OH groups); (ii) all adsorption sites are of the
same type (only isolated surface silanols are present); and
* Corresponding author. Phone: +39 011 670 7543. Fax: +39
011 670 7855. E-mail: giuliana.magnacca@unito.it.
(1) Singh, K.; Mohan, S. Appl. Surf. Sci. 2004, 221, 308. Titus, E.;
Kalkar, A. K.; Gaikar, V. G. Colloids Surf., A 2003, 223, 55. Sekar, M.;
Sakthi, V.; Rengaraj, S. J. Colloid Interface Sci. 2004, 279, 307.
(2) Pakseresht, S.; Kazemeini, M.; Akbarnejad, M. M. Sep. Purif.
Technol. 2002, 28, 53. Choudhary, V. R.; Mayadevi, S. Zeolites 1996,
17, 501.
(3) Atkins, P. W. Physical Chemistry, V ed.; Oxford University
Press: Oxford, 1994; p 987.
(4) Garrone, E.; Barbaglia, A.; Onida, B.; Civalleri, B.; Ugliengo, P.
Phys. Chem. Chem. Phys. 1999, 1, 4649.
(5) Onida, B.; Allian, M.; Borello, E.; Ugliengo, P.; Garrone, E.
Langmuir 1997, 13, 5107.
A
gas
+ M
surf
y \ z
k
a
k
d
[A-M]
surf
θ )
bp
1 + bp
(1)
θ
1 - θ
) K
eq
p (2)
3933 Langmuir 2005, 21, 3933-3939
10.1021/la0473761 CCC: $30.25 © 2005 American Chemical Society
Published on Web 03/30/2005