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Method for Determining the Third Density Virial Coefficient of Monatomic Gas from Speed-of-Sound Data

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A Correction to this article was published on 17 September 2022

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Abstract

For a monatomic gas, the Euler–Cauchy-type differential equations relating the second and third density virial coefficients (B and C) and the second and third acoustic ones (βa and γa) are solved to obtain an analytical formula determining the temperature dependence of C from those of βa and γa. The obtained formula is verified using the reference equation of state of helium-4.

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Authors and Affiliations

  1. Graduate School of Engineering, Kyoto University, Kyoto, 615-8530, Japan

    Kohei Tada

  2. Division for Low Temperature and Materials Sciences, Kyoto University, Kyoto, 615-8530, Japan

    Kohei Tada

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  1. Kohei Tada
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KT carried out everything about this paper by himself, including conceptualization, calculation, visualization, and writing and editing of the manuscript.

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Correspondence to Kohei Tada.

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Tada, K. Method for Determining the Third Density Virial Coefficient of Monatomic Gas from Speed-of-Sound Data. Int J Thermophys 43, 148 (2022). https://doi.org/10.1007/s10765-022-03075-0

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