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Estimation of Molecular Diffusivity in Liquid Phase Systems on the Basis of the Absolute Rate Theory

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Abstract

This study was concerned about an estimation of molecular diffusivity (Dm) in liquid phase systems. An equation based on the absolute rate theory of diffusion was derived by considering the aggregation of not only solvent molecules, but also solute molecules. It was also studied how the replacement of the molar volume of a solvent with its molecular weight influences the accuracy in estimating Dm. The values of Dm estimated by the equation were compared with those experimentally measured. The mean square deviation for the estimation of Dm was calculated as being about 14% for 217 Dm data measured in aqueous solutions of methanol and acetonitrile, which is comparable to that obtained by the Wilke-Chang equation. However, Dm of some solutes in carbon tetrachloride was more accurately estimated by this equation than by the Wilke-Chang equation. It is expected that the equation proposed in this study is effective for estimating Dm in liquid phase systems.

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Authors and Affiliations

  1. Department of Chemistry, Faculty of Science, Rikkyo University, 3-34-1 Nishi-Ikebukuro, Toshima, Tokyo, 171-8501, Japan

    Kanji Miyabe

  2. Faculty of Engineering, University of Toyama, 3190 Gofuku, Toyama, 930-8555, Japan

    Ryo Isogai

Authors
  1. Kanji Miyabe
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  2. Ryo Isogai
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Correspondence to Kanji Miyabe.

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Miyabe, K., Isogai, R. Estimation of Molecular Diffusivity in Liquid Phase Systems on the Basis of the Absolute Rate Theory. ANAL. SCI. 29, 467–472 (2013). https://doi.org/10.2116/analsci.29.467

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  • DOI: https://doi.org/10.2116/analsci.29.467

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