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The Chemical Educator

ISSN: 1430-4171 (electronic version)

Table of Contents

Abstract Volume 28 (2023) pp 149-152

The Entropy of Mixing is Not Due to Mixing Itself

Katsuyoshi Yamasaki*,† and Motomu Kaneko

†Department of Chemistry, Graduate School of Advanced Science and Engineering, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima, Hiroshima 739-8526, Japan, kyam@hiroshima-u.ac.jp; ‡Taki Junior and Senior High School, 1 Higashinocho Komeno, Konan-shi, Aichi 483-8418, Japan
Received February 2, 2023. Accepted October 3, 2023.

Published: 18 October 2023

Abstract. The entropy of mixing is frequently misunderstood as a special force to drive the spontaneous phenomena in nature, for example, diffusion and chemical reactions. The misconception results from the confusion of mixing with expansion. This article deals with only mixing of the components of gases or solutes without expansion and gives formulations of the entropies under the mixed and unmixed conditions. It has been found that the entropy of mixing does not arise from mixing but just reflects the number densities of the components themselves in the unmixed system. The conclusion of this article will be valuable for teaching and learning not only the entropy of mixing but also the essence of the spontaneous phenomena in thermodynamics.

Key Words: In the Classroom; physical chemistry; thermodynamics; entropy of mixing

(*) Corresponding author. (E-mail: kyam@hiroshima-u.ac.jp)

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