Osmosis is the flow of solvent across a semipermeable membrane from a region of lower to higher solute concentration. It is of central importance in plant and animal physiology and finds many uses in industry. A survey of published papers, web resources, and current textbooks reveals that numerous misconceptions about osmosis continue to be cited and taught. To clarify these issues, we re-derive the thermodynamics of osmosis using the canonical formalism of statistical mechanics and go on to discuss the main points that continue to lead to misunderstandings.
REFERENCES
1.
S. E.
Skilhagen
, “The power of osmosis
,” Int. Water Power Dam Constr.
62
, 20
–23
(2010
).2.
J.
van’t Hoff
, “The function of osmotic pressure in the analogy between solutions and gases
,” Philos. Mag.
26
, 81
–105
(1888
).3.
J. W.
Gibbs
, “Semi-permeable films and osmotic pressure
,” Nature
55
, 461
–462
(1897
).4.
H. B.
Callen
, Thermodynamics and an Introduction to Thermostatistics
(John Wiley and Sons
, New York
, 1985
).5.
R.
Fowler
and E.
Guggenheim
, Statistical Thermodynamics
(Cambridge U.P.
, London
, 1965
).6.
K. R.
Hall
and G. A.
Iglesias-Silva
, “Cross second virial coefficients for the systems N2 + O2 and H2O + O2
,” J. Chem. Eng. Data
39
, 873
–875
(1994
).7.
A. F.
Fucaloro
, Y.
Pu
, K.
Cha
, A.
Williams
, and K.
Conrad
, “Partial molar volumes and refractions of aqueous solutions of fructose, glucose, mannose, and sucrose at 15.00, 20.00, and 25.00 C
,” J. Sol. Chem.
36
, 61
–80
(2007
).8.
Y.
Marcus
, “Thermodynamics of solvation of ions. Part 6. The standard partial molar volumes of aqueous ions at 298.15 K
,” J. Chem. Soc., Faraday Transactions
89
, 713
–718
(1993
).9.
B.
Hille
, Ion Channels of Excitable Membranes
, 3rd ed. (Sinauer, Sunderland
, Mass
, 2001
).10.
F.
Kiil
, “Molecular mechanisms of osmosis
,” Am. J. Physiol. Regulatory Integrative Comp. Physiol.
256
, R801
–R808
(1989
).11.
K. N.
Frayn
, Metabolic Regulation: A Human Perspective
, 2nd ed. (Wiley-Blackwell, Oxford
, 2003
).12.
13.
T. E.
Brown
, H. E. H.
LeMay
, and B. E.
Bursten
, Chemistry: The Central Science
, 9th ed. (Prentice-Hall
, London
, 2003
).14.
J. W.
Moore
, C. L.
Stanitski
, and P. C.
Jurs
, Principles of Chemistry: The Molecular Science
(Brooks Cole
, Belmont, CA
, 2010
).15.
16.
A.
Mauro
, “Nature of solvent transfer in osmosis
,” Science
126
, 252
–253
(1957
).17.
C. V.
Paganelli
and A. K.
Solomon
, “The rate of exchange of tritiated water across the human red cell membrane
,” J. Gen. Physiol.
41
, 259
–277
(1957
).18.
R.
Villegas
, T. C.
Barton
, and A. K.
Solomon
, The entrance of water into beef and dog red cells
, J. Gen. Physiol.
42
, 355
–369
(1958
).19.
F.
Zhu
, E.
Tajkhorshid
, and K.
Schulten
, “Theory and simulation of water permeation in Aquaporin-1
,” Biophys. J.
86
, 50
–57
(2004
).20.
H.
Soodak
and A.
Iberall
, “Osmosis, diffusion, convection
,” Am. J. Physiol. Regulatory Integrative Comp. Physiol.
235
, 3
–17
(1978
).21.
G. A.
Hulett
, “Beziehung zwischen negativem druck und osmotischem druck
,” Z. Phys. Chem.
42
, 353
–368
(1903
).22.
H.
Hammel
and P.
Scholander
, Osmosis and Tensile Solvent
(Springer-Verlag
, New York
, 1976
).23.
H.
Hammel
and W. M.
Schlegel
, “Osmosis and solute-solvent drag
,” Cell Biochem. Biophys.
42
, 277
–345
(2005
).24.
H.
Hammel
, “Colligative properties of a solution
,” Science
192
, 748
–756
(1976
).25.
H.
Lorentz
, “Zur molekulartheorie verdunnter losungen
,” Z. Phys. Chem.
7
, 36
–54
(1891
).26.
A.
Einstein
, Investigations on the Theory of Brownian Movement
(Dover
, New York
, 1956
).27.
P.
Ehrenfest
, “On the kinetic interpretation of the osmotic pressure
,” Proc. K. Ned. Akad. Wet.
17
, 1241
–1245
(1915
).28.
P.
Debye
, “Theorie cinetique des lois de la pression osmotique que des electrolytes forts
,” Recl. Trav. Chim. Pays-Bas
42
, 597
–604
(1923
).29.
A.
Eucken
, E. R.
Jette
, and V. K.
LaMer
, Fundamentals of Physical Chemistry
(McGraw-Hill
, New York
, 1925
).30.
31.
G.
Joos
and I. M.
Freeman
, Theoretical Physics
, 2nd ed. (Hafner Publishing
, New York
, 1951
).32.
G. B.
Benedek
and F. M. H.
Villars
, Physics With Illustrative Examples From Medicine and Biology, Vol. 2. Statistical physics
, 1st ed. (Addison-Wesley
, Reading, MA
, 1974
).33.
G.
Oster
and C. C.
Peskin
, “Dynamics of Osmotic Fluid Flow
,” in Mechanics of Swelling: From Clays to Living Cells and Tissues
, edited by T.
Karalis
(Springer-Verlag
, New York
, 1992
) pp. 731
–742
.34.
35.
D.
Gomes
, A.
Agasse
, P.
Thibaud
, S.
Delrot
, H.
Gers
, and F.
Chaumont
, “Aquaporins are multifunctional water and solute transporters highly divergent in living organisms
,” Biochim. Biophys. Acta
1788
, 1213
–1228
(2009
).© 2012 American Association of Physics Teachers.
2012
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