Absence of Schroeder's Paradox in a Nanostructured Block Copolymer Electrolyte Membrane

Keith M. Beers, Sergey Yakovlev, Andrew Jackson, Xin Wang, Alexander Hexemer, Kenneth H. Downing, Nitash P. Balsara

    Research output: Contribution to journalArticlepeer-review

    7 Citations (SciVal)


    This is a study of morphology, water uptake, and proton conductivity of a sulfonated polystyrene-block-polyethylene (PSS-PE) copolymer equilibrated in humid air with controlled relative humidity (RH), and in liquid water. Extrapolation of the domain size, water uptake, and conductivity obtained in humid air to RH = 100% allowed for an accurate comparison between the properties of PSS-PE hydrated in saturated vapor and in liquid water. We demonstrate that extrapolations of domain size and water uptake on samples equilibrated in humid air are consistent with measurements on samples equilibrated in liquid water. Small (5%) differences in proton conductivity were found in samples equilibrated in humid air and liquid water. We argue that differences in transport coefficients in disordered heterogeneous systems, particularly small differences, present no paradox whatsoever. Schroeder's Paradox, wherein properties of polymers measured in saturated water vapor are different from those obtained in liquid water, is thus not observed in the PSS-PE sample.
    Original languageEnglish
    Pages (from-to)6785-6791
    JournalThe Journal of Physical Chemistry Part B
    Issue number24
    Publication statusPublished - 2014

    Subject classification (UKÄ)

    • Natural Sciences
    • Physical Sciences


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