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Evaluation and Comparison of the Solubility Models for Solute in Monosolvents

  • Min-jie Zhi (School of Public Security, Northwest University of Political Science and Law) ;
  • Wan-feng Chen (School of Public Security, Northwest University of Political Science and Law) ;
  • Yang-bo Xi (School of Public Security, Northwest University of Political Science and Law)
  • Received : 2023.08.18
  • Accepted : 2023.11.07
  • Published : 2024.02.01

Abstract

The solubility of Cloxacillin sodium in ethanol, 1-propanol, isopropanol, and acetone solutions was measured at different temperatures. The melting property was also tested by using a differential scanning calorimeter (DSC). Then, the solubility data were fitted using Apelblat equation and λh equation, respectively. The Wilson model and NRTL model were not utilized to correlate the test data, since Cloxacillin sodium will decompose directly after melting. For comparison purposes, the four empirical models, i.e., Apelblat equation, λh equation, Wilson model and NRTL Model, were evaluated by using 1155 solubility curves of 103 solutes tested under different monosolvents and temperatures. The comparison results indicate that the Apelblat equation is superior to the others. Furthermore, a new method (named the calculation method) for determining the Apelblat equation using only three data points was proposed to solve the problem that there may not be enough solute in the determination of solubility. The log-logistic distribution function was used to further capture the trend of the correlation and to make better quantitative comparison between predicted data and the experimental ones for the Apelblat equation determined by different methods (fitting method or calculation method). It is found that the proposed calculation method not only greatly reduces the number of test data points, but also has satisfactory prediction accuracy.

Keywords

Acknowledgement

The authors gratefully acknowledge the financial support of the Natural Science Basic Research Plan in Shaanxi Province of China (No. 2021JQ-696, No. 2019JQ-858).

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