大学化学 >> 2015, Vol. 30 >> Issue (4): 42-46.doi: 10.3866/pku.DXHX20150442

化学实验 上一篇    下一篇

表面张力测定数据的模型拟合及MATLAB处理

成忠, 张立庆   

  1. 浙江科技学院生物与化学工程学院 浙江杭州 310023
  • 发布日期:2015-08-14
  • 基金资助:

    浙江省高等教育课堂教学改革项目(No.KG2013263);浙江省高等教育教学改革项目(No.JG2013112)

Surface Tension Data Fitting with MATLAB

Cheng Zhong, Zhang Liqing   

  1. School of Biological and Chemical Engineering, Zhejiang University of Science and Technology, Hangzhou 310023, Zhejiang, China
  • Published:2015-08-14

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摘要：

借助MATLAB工程计算平台,通过程序设计完成了“正丁醇水溶液表面张力的测定”应用软件的开发。在完成录入压差实验数据后,不仅可以自动计算和填入溶液的表面张力,还能够实现溶液表面张力与浓度定量关系的希斯科夫斯基经验方程(Szyszkowski's equation)中待估参数的求解,并用以求导供给吉布斯公式计算溶液的吸附量,进而推算溶液饱和吸附量和正丁醇分子的截面积。软件的操作过程简便、直观、高效,避免了人工数据处理、绘图的烦琐和人为误差,可提高实验结果的准确性和重现性。

关键词: 表面张力, 最大泡压法, Gibbs吸附等温方程, 模型拟合, MATLAB

Abstract:

This paper introduces the data fitting method for determination of the surface tension of n-butanol solution, and a software program was developed with MATLAB for the model fitting. With this software it is convenient to obtain the equation describing the relationship between the surface tension (σ) and the concentration (c) of n-butanol based on the Szyszkowski model. The surface excess (Γ) can be calculated subsequently, and the saturation surface excess (Γ∞) and cross section area of n-butanol solution can be obtained by extrapolation.

Key words: Surface tension, Maximum bubble pressure method, Gibbs adsorption isotherm, Model fitting, MATLAB