Representation and Validation of Liquid Densities for Pure
Compounds and Mixtures
Vladimir Diky,*
,†
John P. O’Connell,
‡
Jens Abildskov,
§
Kenneth Kroenlein,
†
and Michael Frenkel
†
†
Applied Chemicals and Materials Division, National Institute of Standards and Technology, Boulder, Colorado 80305-3337,
United States
‡
Department of Chemical Engineering, University of Virginia, 102 Engineers’ Way, Charlottesville, Virginia 22904-4741,
United States
§
CAPEC-PROCESS, Department of Chemical and Biochemical Engineering, Building 229, Technical University of Denmark,
2800 Kgs. Lyngby, Denmark
ABSTRACT: Reliable correlation and prediction of liquid densities
are important for designing chemical processes at normal and ele-
vated pressures. A corresponding-states model from molecular theory
was extended to yield a robust method for quality testing of experi-
mental data that also provides predicted values at unmeasured
conditions. The model has been shown to successfully represent and
validate the pressure and temperature dependence of liquid densities
greater than 1.5 of the critical density for pure compounds, binary
mixtures, and ternary mixtures from the triple to critical temperatures
at pressures up to 10
6
kPa. The systems include the full range of
organic compounds, including complex solutions, and ionic liquids.
Minimal data are required for making predictions.
1. INTRODUCTION
The doubling every 10 years
1
of published experimental ther-
mophysical property data provides significant societal benefits,
but the associated rate of published erroneous data is alarming.
It is estimated that about 30 % of the articles reporting new
thermophysical-property data obtained from direct measure-
ments contain erroneous information in numerical values,
metadata associated with these values, or their uncertainties.
2
As this information propagates through the community’s data
infrastructure, it can lead (and has led) to significant damage
1
as it is fed into data-driven analyses and is used as the basis for
new correlations and prediction methodologies.
To avoid such effects, data validation methods designed to
identify questionable data and prevent the use of erroneous
data in modeling and engineering applications must be
developed. Such data validation should be considered a major
component of critical data evaluation to increase the “value” of
the data first to the level of information (generating combined
expanded uncertainties
3
for every data point to be processed),
then to the level of knowledge where thermodynamic consis-
tency between all related properties is enforced, and finally to
the level of wisdom where critically evaluated thermophysical-
property data are combined with other relevant data to support
major engineering applications such as chemical product and
process design.
4,5
A broad variety of data validation methods have
been developed, tested, and incorporated into the ThermoData
Engine software (TDE)
6
for thermophysical properties of pure
compounds, binary mixtures, and ternary mixtures
7-9
as a part of
the implementation of the dynamic data evaluation concept
10
within a framework of a Global Information System in Thermo-
dynamics.
1,11
Volumetric properties are a major category of thermophysical-
property information within the context of any dynamic data
evaluation such as the TDE evaluation for thermophysical
and thermochemical properties, along with phase boundary
property information and energy-related property informa-
tion.
10
Each category can be evaluated systematically in order
to accumulate understanding about the behavior of a chemical
system in thermodynamic space. Historically, there seems to be
no rigorous density validation method available, and analysis
of data quality for volumetric properties has been limited to
the elimination of outliers identified via direct comparison of
independent data sets. In TDE, density data are represented
based on their association with phase and composition (for
mixtures) information as a function of temperature and, for
state points away from phase boundaries, pressure. Prior to this
work, saturation-state densities for pure compounds have been
represented by specialized polynomial expressions
10
and the
pressure dependence of single-phase liquid densities given by
the Tait equation.
12
The Span-Wagner equation of state
13-15
based on the Helmholtz energy and covering all fluid phases
(including the supercritical region) could be fitted at a user’s
Special Issue: Memorial Issue in Honor of Anthony R. H. Goodwin
Received: June 9, 2015
Accepted: July 27, 2015
Article
pubs.acs.org/jced
© XXXX American Chemical Society A DOI: 10.1021/acs.jced.5b00477
J. Chem. Eng. Data XXXX, XXX, XXX-XXX