Introduction
Second-order thermodynamic properties, such as
compressibility, thermal expansion coefficients and
heat capacity, play an important role in the oil and gas
industry. The knowledge of the volumetric behaviour
of reservoir fluids is essential during production and
transport operations whereas heat capacity C
P
is an
essential property to perform thermal calculations in
all heat transfer processes. Moreover amongst these
second order properties heat capacities occupies a
special place due to its relation with entropy, i.e.
C
p
=T(¶S/¶T)
p
which provide information on the
microscopic structure of the system. As a result, the
accurate measurement and comprehensive modeling
of these second-order properties for liquids and their
mixtures are of interest to both the improvement of
our knowledge of liquid structure and to optimization
of many processes in oil and gas engineering.
It is well known that most classical equations of
state (EOS) present serious limitations for describing
second-order properties the main reason for this being
that they have been developed to describe phase
equilibria [1, 2]. As long as the complexity of the system,
as for instance the molecular chain increases which is
the case of components which belong to the heavy
fraction of the crude oil, additional shortcomings
appear. In this context of special relevance is the
work of Llovell et al. [3], Vijande et al. [4] and
Lafitte et al. [5] which propose a complete thermo-
dynamic description i.e. phase equilibria and thermo-
dynamic behavior from a single approach using the
same molecular EOS, namely the SAFT in different
versions. In addition it has been demonstrated [5] the
interest of adding thermodynamic properties namely
densities and speed of sound to the classical fitting
procedure based on the LV equilibrium. This
procedure yields between accuracies of the estimated
properties and at the same time, parameters with a
stronger physical meaning. In view of the application
of these models to complex multi-components
systems like reservoir fluids, it is of primordial to
have large database for pure system in hand to test
and to develop, the models.
In this context, the main goal of this work is to
provide reliable data of thermodynamic properties
and their temperature and pressure dependence. To
this end, attention was focused on the experimental
determination of molar isobaric heat capacities
C
p,m
(P,T) and speed of sound c(P,T) for n-undecane, a
normal alkane which belongs to the above mentioned
heavy fraction. Then, using this set of data, density,
isentropic and isothermal compressibility and
isochoric heat capacity were determined in the same
[p,T] ranges. The consistency between calorimetric,
acoustic and volumetric data is then checked [6].
Experimental
Materials
n-undecane was supplied from Fluka (purity, 99 mol%)
and used without further purification.
1388–6150/$20.00 Akadémiai Kiadó, Budapest, Hungary
© 2007 Akadémiai Kiadó, Budapest Springer, Dordrecht, The Netherlands
Journal of Thermal Analysis and Calorimetry, Vol. 89 (2007) 1, 81–85
THERMODYNAMIC CONSISTENCY BETWEEN CALORIMETRIC
ACOUSTIC AND VOLUMETRIC MEASUREMENTS
Application to n-undecane
D. BessiÀres
*
and F. Plantier
Laboratoire des Fluides Complexes, UMR CNRS 5150, Facult¾ des Sciences, Universit¾ de Pau, BP 1155, 64013 Pau Cedex, France
In this work, experimental measurements of isobaric heat capacity as well as speed of sound were performed in the compressed
liquid phase of n-undecane from 303.15 to 373.15 K and for pressures ranging up to 60 MPa. These results were used to estimate
various thermophysical properties such as density, isentropic compressibility and isochoric heat capacity in the same ranges of
pressure and temperature. All these sets of data allow checking the thermodynamic consistency between calorimetric, acoustic
and volumetric properties.
Keywords: heat capacity, isentropic and isothermal compressibilities, speed of sound, n-undecane
* Author for correspondence: david.bessieres@univ-pau.fr