On Graphic Methods for Calculating Thermodynamic Properties of Ternary Systems——Comments on the Inherent Links Between Darken's and Chou's Methed
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摘要: 本文系統討論了三元系中由已知一組元活度計算其它組元活度的圖解計算方法,并側重于間接計算方法(${{\rm{\bar G}}_1}-{\rm{\bar G}}$或${\rm{R(R=}}\frac{{\rm{G}}}{{1-{{\rm{x}}_1}}}{\rm{)}} \to {{\rm{\bar G}}_2},{{\rm{\bar G}}_3}$,借助于熱力學基本公式,大大簡化了Darden公式和周國治公式的推導過程,指出兩種方法的內在聯系,給出周國治公式中變量代換R,y的引入思路及意義。經過討論,從理論上證明了周國治法實際上是Darken法的發展和完善,是三元系熱力學計算的好方法。本文還提出兩個有用的判別式,可由有關二元系的熱力學數據分別對三元系實驗結果和圖解計算結果加以檢驗,使計算方法更加完善。Abstract: The graphic methods for calculating ${{\rm{\bar G}}_2}$ and ${{\rm{\bar G}}_}$ from the known ${{\rm{\bar G}}_1}$ (${\rm{\bar G}}$i is the partial molar property of ith component) are systematically discussed with emphasis on the indirect methods following the way ${{{\rm{\bar G}}}_1} \to {\rm{\bar G}}$ or ${\rm{R(R=}}\frac{{\rm{G}}}{{1-{{\rm{x}}_1}}}{\rm{)}} \to {{{\rm{\bar G}}}_2}$ and ${{{\rm{\bar G}}}_3}$. An new and simple way of de-riving Darken's and Chou's equations based on the efficient uses of fun damental thermodynamic relationships is proposed, which shosvs clearly the close links between two methods, the significances of introducing R and y (y=x3/(x2 +x3)) in Chou's equations, and the main points of the indirect methods.It is theoretically concluded that Chou's method developed from and perfected Darken's method and is a good method for graphic calculations of thermodynamic properties of ternary systems. Moreover, this paper presents two criteria for verifying respectively the reliability of experimental data and calculated results in ternary systems from the known data in the related binary systems.
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Key words:
- therraodynamic calculations /
- graphic methods /
- ternarysystem
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