An assessment of the thermodynamic properties of liquid quaternary alloys with the wilson equation
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The author wishes to thank the Center for Iron and Steelmaking Research and its member companies for their financial support. The author also wishes to thank Professor R.J. Fruehan for helpful discussions and Dr. B. Patil of Allegheny Ludlum Steel Corporation for providing tundish and mold fluxes.
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An Assessment of the Thermodynamic Properties of Liquid Quaternary Alloys with the Wilson Equation D O N G - P I N G TAO Activity coefficients for the liquid phase can be calculated from any one of a number of equations. Although these equations were usually derived by their advocates from theoretical considerations, they must be considered to be largely empirical, since the constants must be obtained from the experimental data of lower order systems to estimate the thermodynamic properties of a higher order systemJ ~J However, a significant feature of the Wilson equation is that the equation for a multicomponent solution requires only constants which can be obtained from binary mixture data, 121 which provides an important economic advantage, since the a m o u n t of experimental work required to characterize a multicomponent solution is thereby very much reduced. Therefore, the purpose of this work is to show the advantage of the Wilson equation for liquid multicomponent alloys and make a comparison of it with another one on multicomponent data. The Wilson equation does not introduce any specific ternary constants in its multicomponent form. The activity coefficient is given by t3,4j ln%=
1-1n
Aj~xj
-
;
[1]
j=l E A k j x k k=l
where Yi is the activity coefficient of component i, x i the molar fraction of component j, and Aji or A o the binary constant. To examine the suitability and reliability of the above equation for liquid multicomponent alloys, the experimental dat
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