PREDICTION ABOUT THERMODYNAMIC PROPERTIES OF TERNARY LIQUID ALLOYS FROM WILSON EQUATION
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An attempt was made on applying the Wilson equation to predict the thermodynamic properties of ternary liquid alloys. The activity of each component in ternary liquid alloys was found to be conveniently calculated from the equation with the related binary bimolecular interaction parameters. The calculated values are in fair agreement with experimental data, and are verified to be reliable by the criterion of classical thermodynamics.Keywords:
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The results of the calculation of the thermodynamic properties for liquid Ga-Sb-Tl alloys at the temperature 1073 K are presented in this paper. Initially, the most appropriate thermodynamic model for the investigated system was selected. Based on a comparison of the values calculated by different geometric models (Kohler, Muggianu, Toop, Hillert, Chou) with the existing experimental based data, asymmetric models of calculation were determined to give the best results. The asymmetric nature of the investigated ternary system was additionally confirmed by the Chou similarity coefficient concept. For these reasons, further complete thermodynamic calculations were performed according to the Hillert model in five sections of the ternary Ga-Sb-Tl system from each corner with the mole ratio of other two components being 9:1; 7:3; 5:5; 3:7 and 1:9. The obtained results include integral excess Gibbs energy dependences on composition for all the investigated sections. The calculated activity values at 1073 K for all components are given in the form of isoactivity diagrams. Comparison between the calculated and experimentally obtained gallium activities shows good agreement.
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A self-consistent thermodynamic model of the Mg-Mn, Al-Mn and Mg-Al-Mn systems has been developed. The major difference between this work and the already existing assessments of these systems is the application of the modified quasichemical model for the liquid phase in each system while most of the existing descriptions use the random mixing model. In the absence of key data for the Mg-Mn system, the calculated thermodynamic properties from the model have been found comparable to other similar systems and the estimated critical temperature of the Mg-Mn liquid miscibility gap using the available empirical equation has been found to be in acceptable agreement with the calculated value. A comparison between the current work and the most recent work on the Al-Mn system that uses the same model for the liquid phase reveals that better agreement with the experimental data with less number of model parameters has been achieved in the current work. Kohler symmetric extrapolation model with only one ternary interaction parameter has been used to calculate the ternary Mg-Al-Mn system. The thermodynamic description of the Mg-Al-Mn system has been verified by extensive comparison with the available experimental data from numerous independent experiments. The model can satisfactorily reproduce all the invariant points and the key phase diagram and thermodynamic features of the ternary as well as the constituent binary systems.
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Abstract The automatic treatment of calculations of chemical equilibrium in homogeneous phases requires analytical representation of the enthalpies and entropies of mixing of the components; therefore various approaches have been investigated, including in particular an attempt to find significant models. The ‘surrounded atom’ model provides a satisfactory method of representing all the thermodynamic characteristics of mixing in binary alloys, on the basis of four adjustable parameters.
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An attempt was made on applying the Wilson equation to predict the thermodynamic proper- ties of ternary liquid alloys.The activity of each component in ternary liquid alloys was found to be conveniently calculated from the equation with the related binary bimolecular interaction parameters.The calculated values are in fair agreement with experimental data,and are veri- fied to be reliable by the criterion of classical thermodynamics.
Component (thermodynamics)
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