大学化学

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自由膨胀与卡诺循环的锚点教学功能探析

马小龙1, 张晓旭1, 马子川2, 张英锋3   

  1. 1 河北科技大学环境科学与工程学院, 河北 石家庄 050018;
    2 河北师范大学化学与材料科学学院, 河北 石家庄 050024;
    3 秦皇岛市第一中学, 河北 秦皇岛 066006
  • 收稿日期:2026-04-29 录用日期:2026-06-30
  • 通讯作者: 马子川, 张英锋 E-mail:mazc@hebtu.edu.cn;bnuqhdzyf@163.com Zichuan Ma, Yingfeng Zhang
  • 基金资助:
    河北师范大学重点发展基金项目(L2024ZD03)

Exploration of the anchor teaching functions of free expansion and the Carnot cycle

Xiaolong Ma1, Xiaoxu Zhang1, Zichuan Ma2, Yingfeng Zhang3   

  1. 1 School of Environmental Science and Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, Hebei Province, China;
    2 College of Chemistry and Material Science, Hebei Normal University, Shijiazhuang 050024, Hebei Province, China;
    3 Qinhuangdao No. 1 High School, Qinhuangdao 066006, Hebei Province, China
  • Received:2026-04-29 Accepted:2026-06-30
  • Contact: Zichuan Ma, Yingfeng Zhang E-mail:mazc@hebtu.edu.cn;bnuqhdzyf@163.com

摘要: 针对物理化学传统教学中学生对原理本源理解不深的问题,本文提出以“基本过程锚点”调整教学逻辑。通过解析自由膨胀与卡诺循环两个锚点,尝试说明其分别引出状态函数与熵概念的逻辑路径。自由膨胀由经验归纳过渡到状态函数确立,卡诺循环借微元化从离散原型拓展到普适规律。二者递进提示,教学宜从“先原理后过程”走向“由过程析原理” ,借锚点内化原理边界、渗透科学方法。

关键词: 物理化学教学, 基本过程锚点, 自由膨胀, 卡诺循环, 熵

Abstract: In response to the limited depth of students’ understanding of the origins of fundamental principles in traditional physical chemistry instruction, this paper proposes a pedagogical adjustment centered on the concept of “anchor points of basic processes”. By examining two such anchor points—free expansion and the Carnot cycle—the study seeks to clarify the logical pathways through which these processes respectively introduce the concepts of state functions and entropy. Free expansion transitions from empirical generalization to the formal establishment of state functions, whereas the Carnot cycle, through an infinitesimal approach, extends from discrete prototypes to universally applicable principles. The progressive relationship between these two cases suggests that teaching should evolve from a “principlesfirst, processes-later” model to one that “derives principles from processes”, thereby using anchor points to internalize the scope of principles and integrate scientific methods into learning.

Key words: Physical chemistry teaching, Basic process anchor, Free expansion, Carnot cycle, Entropy