A discussion on the applicability conditions of the two forms of chain relation

QIN Zhijie

doi:10.16854/j.cnki.1000-0712.250271

College Physics >

2026 , Vol. 45 >Issue 3: 28

DOI: https://doi.org/10.16854/j.cnki.1000-0712.250271

A discussion on the applicability conditions of the two forms of chain relation

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School of Physics, Zhengzhou University, Zhengzhou, Henan 450001, China

Received date: 2025-05-15

Revised date: 2025-06-26

Online published: 2026-06-04

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Abstract

This paper, through proving the chain relation, elaborates on the differences in the conditions required for the establishment of its two distinct forms, examines the considerations for applying chain relation, and highlights a prevalent error in textbooks when using chain relation to analyze Joules gas free expansion experiment.

Key words： chain relation; implicit function theorem; Joules experiment of free expansion of gases

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QIN Zhijie . A discussion on the applicability conditions of the two forms of chain relation[J]. College Physics, 2026 , 45(3) : 28 . DOI: 10.16854/j.cnki.1000-0712.250271

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