Binary Mutual Diffusion Coefficients of Aqueous Solutions of Sucrose, Lactose,
Glucose, and Fructose in the Temperature Range from (298.15 to 328.15) K
Ana C. F. Ribeiro,*
,²
Ornella Ortona,
‡
Susana M. N. Simo ˜ es,
²
Cecı ´lia I. A. V. Santos,
²
Pedro M. R. A. Prazeres,
²
Artur J. M. Valente,
²
Victor M. M. Lobo,
²
and Hugh D. Burrows
²
Department of Chemistry, University of Coimbra, 3004-535 Coimbra, Portugal, and Department of Chemistry, University of
Naples, Federico II, Monte Sant’Angelo, 80126 Naples, Italy
Binary mutual diffusion coefficients measured by the Taylor dispersion method in two different laboratories
(University of Naples, Federico II, Italy, and University of Coimbra, Portugal) are reported for aqueous solutions
of lactose, sucrose, glucose, and fructose at various concentrations (0.001 to 0.1) mol‚dm
-3
and temperatures
(298.15 to 328.15) K. The hydrodynamic radius and activation energy for the diffusion of aqueous sugars are
calculated from those results. In addition, the measured diffusion coefficients are used with the Hartley equation
to estimate activity coefficients for aqueous lactose, sucrose, glucose, and fructose.
Introduction
Carbohydrates are not only technological important com-
pounds but also enjoy biological relevance.
1-3
As typical non-
electrolytes carrying hydrophilic hydroxyl groups capable of
hydrogen bonding, their properties play a significant role in the
reaction conditions of many current industrial processes such
as enzymatic conversion of biomass to useful chemicals.
Furthermore, they are important components in formulations
for pharmaceutical, food, and biomedical applications (e.g., for
stabilization of proteins and membranes).
1-3
While numerous studies have been carried out on the
thermodynamic properties of binary aqueous sugar solutions
(e.g., activity coefficients, excess enthalpies, etc.),
2,4-7
data are
more limited on the transport behavior of these sugar systems
in aqueous solutions.
8-12
Transport properties, particularly
diffusion coefficients, provide a direct measure of molecular
mobility, an important factor in the preservation of biological
materials in sugar matrixes. Hopefully, the studies reported here
will lead to an increase in know-how, which will allow a better
understanding of the physical chemistry conditions underlining
the diffusion phenomena occurring in different systems (e.g.,
human oral cavity).
Diffusion coefficients for sucrose and glucose have been
previously reported.
8-11
However, those studies mainly focused
on sucrose concentrations greater than 0.05 mol ‚dm
-3
at 298.15
K. A study of mutual diffusion coefficients (D) of glucose and
sucrose, at (303.15 and 323.15) K, obtained by the capillary
cell method in concentrated solutions (c > 1.0 mol‚dm
-3
) was
reported by Sano and Yamamoto.
1
These authors establish an
empirical linear relationship between log D and the mole fraction
of the solute (carbohydrate). However, bearing in mind the
empirical nature of those equations and considering that the
above authors admit the possible error limits in these values of
D are of the order up to 30 %, the efforts in our repeating
experimental diffusion study of these sugars appears justified.
In fact, comparison of our experimental results with those
obtained in this work through the cited equations leads to
deviations greater than 30 % for these two carbohydrates. As
far as we are aware, no data are available in the literature for
lactose and fructose.
In the present study, mutual diffusion (interdiffusion) coef-
ficients D, measured by the Taylor dispersion method, are
reported for aqueous solutions of lactose, sucrose, glucose, and
fructose at concentrations from (0.001 to 0.1) mol‚dm
-3
and
temperatures from (298.15 to 328.15) K. The accuracy of the
Taylor diffusion measurements is assessed by measuring binary
mutual diffusion coefficients for aqueous solutions of potassium
chloride at 298.15 K and comparing them with previously
reported D values measured by accurate optical interferometric
and conductometric techniques.
13-15
The reproducibility of these
results was usually within ( 1 %. Comparison of the results
suggests an uncertainty of (1 to 2) % for the D values reported
here, which is typical for Taylor dispersion measurements.
Experimental mutual diffusion coefficients were used to estimate
various parameters such as the hydrodynamic radii and activa-
tion energy for the diffusion of those aqueous carbohydrates.
In addition, the measured diffusion coefficients are used with
the Hartley equation to estimate activity coefficients for aqueous
carbohydrate solutions.
Experimental Section
Materials. The solutes used in this study were lactose (BDH
Chemicals with a water content of 10.0 %), sucrose (Sigma,
pro analysi > 99 %), D(+)-glucose (Fluka, pro analysi > 99.5
%) and D(-)-fructose (Riedel-de-Hae ¨n, Chem. pure). These were
used without further purification.
The solutions for the diffusion measurements were prepared
in calibrated volumetric flasks using bi-distilled water. The
solutions were freshly prepared and de-aerated for about 30 min
before each set of runs. The uncertainty on their compositions
was usually within ( 0.1 %.
Procedure. Dispersion methods for diffusion measurements
are based on the dispersion of small amounts of solution injected
into laminar carrier streams of solvent or solution of different
composition, flowing through a long capillary tube.
16-19
The
length of the Teflon dispersion tube used in the present study
* Corresponding author. Tel: +351-239-854460. Fax: +351-239-827703.
E-mail: anacfrib@ci.uc.pt.
²
University of Coimbra.
‡
University of Naples, Federico II.
1836 J. Chem. Eng. Data 2006, 51, 1836-1840
10.1021/je0602061 CCC: $30.25 © 2006 American Chemical Society
Published on Web 07/20/2006
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Published on July 20, 2006 on http://pubs.acs.org | doi: 10.1021/je0602061