论文标题
使用简化的热力学模型教授作业的几何工具
Geometrical Tools for Teaching Azeotropy Using Simplified Thermodynamic Models
论文作者
论文摘要
在这项工作中,我们使用一些简化的模型提出了反对性问题的几何视图。我们证明,二元混合物中的共聚体的出现可以被视为地对图 - 在平面中曲线的相交(对于某些模型中,这些曲线是抛物线)。此外,从平面到平面的功能的概念用于帮助理解共聚物现象。这些想法用两个简单的案例(用一个和两个都将其分析)进行了说明,从而通过化学工程课程的本科生对不寻常的热力学行为进行了分析,例如双相动物,而简单的数学工具。
In this work we propose a geometric view of the azeotropy problem, using some simplified models. We demonstrate that the occurrence of azeotropes in binary mixtures can be viewed-geometrically-as the intersection of curves in the plane (for some models, these curves are parabolas). Furthermore, the idea of functions from the plane to the plane is used to help understand the azeotropic phenomenon. These ideas are illustrated with two simple cases, with one and two azeotropes, allowing the analysis of a unusual thermodynamic behavior-such as double azeotropy-with simple mathematical tools, by undergraduate students in Chemical Engineering courses.