<p>Symmetry theory has been applied on thermodynamic cycle analysis, while the study of symmetric characteristics on thermal process including phase transition is very insufficient. Previous predictions of the critical point and saturation line, apart from the triple point, strongly relied on the empirical parameters, molecular structures, or other physical parameters of the substance, which causes inconvenience in predicting saturation lines and critical points. The <i>C</i>-<i>P</i> diagram, proposed in our earlier work, is used to analyze the symmetry of saturation lines to solve the above problem. The results show that the saturation lines of various substances drawn on the normalized <i>C</i>-<i>P</i> diagram exhibit a much more obvious stratification than those drawn on the <i>T</i>-<i>p</i> diagram. Interestingly, the saturation lines of some substances overlap on the <i>C</i>-<i>P</i> diagram. Based on the above phenomena, substances can be more clearly classified, only requiring information of the triple point of the substance. On this basis, we develop a new method to predict the saturation line requiring much less information than previous work does, and only triple point information is required. This method can effectively predict temperature with a mean error of less than 12% as exemplified by thirteen substances.</p>

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Characteristics and Prediction of Saturation Line Based on Triple Point

  • Huan Guo,
  • Haoyu Wang,
  • Yi Zhang,
  • Yujie Xu,
  • Zhiwei Ge

摘要

Symmetry theory has been applied on thermodynamic cycle analysis, while the study of symmetric characteristics on thermal process including phase transition is very insufficient. Previous predictions of the critical point and saturation line, apart from the triple point, strongly relied on the empirical parameters, molecular structures, or other physical parameters of the substance, which causes inconvenience in predicting saturation lines and critical points. The C-P diagram, proposed in our earlier work, is used to analyze the symmetry of saturation lines to solve the above problem. The results show that the saturation lines of various substances drawn on the normalized C-P diagram exhibit a much more obvious stratification than those drawn on the T-p diagram. Interestingly, the saturation lines of some substances overlap on the C-P diagram. Based on the above phenomena, substances can be more clearly classified, only requiring information of the triple point of the substance. On this basis, we develop a new method to predict the saturation line requiring much less information than previous work does, and only triple point information is required. This method can effectively predict temperature with a mean error of less than 12% as exemplified by thirteen substances.