Determination of chemical composition in Tri-Metal Alloys: a three variable linear equation system approach

Ariel Van-Sertima, Sandra Simmons, Raul Zablah-Vasquez, A. Villalta-Cerdas
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Abstract

To enhance the bridge between macroscopic and symbolic representations in chemistry, we crafted a laboratory module focusing on a three-equation system for chemical composition analysis. Students assess the composition of copper, tin, and aluminum alloys by measuring two properties: density and heat capacity. These non-destructive procedures fit within standard laboratory session durations. After gathering data, students tackle three linear equations linking element mass ratio to alloy composition, density, and heat capacity. By pooling data from various samples, the class achieves a comprehensive understanding. This method aligns with objectives for laboratory education, emphasizing scientific reasoning, practical skills, and subject mastery. Students’ results deviated by +/-10% from actual alloy compositions. The discussion of student-gathered data and results supports the feasibility of the laboratory experience for its implementation in introductory chemistry laboratories.
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确定三金属合金的化学成分:三变量线性方程组法
为了加强化学中宏观和符号表示之间的桥梁,我们精心设计了一个实验模块,重点是化学成分分析的三方程系统。学生通过测量两种性质:密度和热容量来评估铜、锡和铝合金的成分。这些非破坏性程序符合标准实验课的课时要求。在收集数据后,学生们将元素质量比与合金成分、密度和热容量联系起来,建立三个线性方程。通过汇集来自不同样品的数据,全班实现了全面理解。这种方法符合实验教学的目标,强调科学推理、实践技能和学科掌握。学生的结果与实际合金成分的偏差为 +/-10%。对学生收集的数据和结果的讨论支持了在化学入门实验室中实施该实验经验的可行性。
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