On Schroeder's paradox

In 1903, von Schroeder reported a difference in solvent uptake (i.e. swelling) by a solid polymer sample (i.e., gel or membrane) when the sample was exposed to a saturated vapor versus a pure liquid. While “Schroeder's paradox” has been disregarded for a long time, it has been recently reported for several systems, which involve either glassy or ion exchange polymers and small polar molecules. In this work, we report the apparent occurrence of the paradox for a simple system based on an elastomer (crosslinked polydimethylsiloxane) swollen in 2-propanol. The phenomenon is not general (i.e. it depends on the type of system) and is shown to be reversible when it does occur. Contrary to previous explanations based on non-equilibrium or permanent pores in the polymeric matrix, an interpretation based on the classical phase equilibrium equation for gels is proposed. The implications in terms of mass transfer in dense membranes and the numerous lingering questions related to this paradox are discussed.

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Source ISSN: 0376-7388
Author Vallieres, C., Winkelman, D., Roizard, D., Favre, E., Pscharfer, P., Kind, M.
Maintainer CCSD
Last Updated May 14, 2026, 19:45 (UTC)
Created May 14, 2026, 19:45 (UTC)
Identifier hal-00078283
Language en
contributor Laboratoire des Sciences du Génie Chimique (LSGC) ; Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS)
creator Vallieres, C.
date 2006-05-14T00:00:00
harvest_object_id 6ccaba6e-0975-4d68-9e34-59228416e927
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-10-02T00:00:00
relation info:eu-repo/semantics/altIdentifier/doi/10.1016/j.memsci.2005.11.020
set_spec type:ART