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THERMODYNAMICS OF MULTICOMPONENT SYSTEMS WITH CONSTANT PARTIAL MOLAR QUANTITY■_0——Thermodynamical Aspect of Iso-(?)_0 Rule of Zdanovskii or Turkdogan Type |
Wang Zhichang(Shanghai Institute of Nuclear Research; Academia Sinica) |
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Cite this article:
Wang Zhichang(Shanghai Institute of Nuclear Research; Academia Sinica). THERMODYNAMICS OF MULTICOMPONENT SYSTEMS WITH CONSTANT PARTIAL MOLAR QUANTITY■_0——Thermodynamical Aspect of Iso-(?)_0 Rule of Zdanovskii or Turkdogan Type. Acta Metall Sin, 1981, 17(2): 168-176.
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Abstract A thermodynamical equation of n-component (n≥3) systems with constant partial molar quantity (?)_0 was derived for interval between (?)_0~o and (?)_0, i. e.where and For such systems that obey Zdanovskii-type rule, (sum from n=k (x_k/x_(k(0))))_((?)_0)=1[1≤k≤(n-1)], one of the simple solutions of the equation may be:For certain systems that obey Turkdogan-type rule, (x_1/x_(1(0))+sum from n=j (x_j/K_jx_(j(0))))_((?)_0)=1 the solution may be:For example, if ψ represents volume, heat capacity or enthalpy: Δψ=0 when (n—1) binary systems of the same (?)_0 value were mixed up to compose a n-component system obeying Zdanovskii-type iso-(?)_0 rule; and Δψ=sum from n=j (K_(ψj)Y_j) when (n—1) binary systems of the 0 component were mixed up to compose a ncomponent system obeying Turkdogan-type iso-(?)_0 rule.If ψ represents Gibbs free energy: the activities of the k component in a n-component system obeying Zdanovskii-type iso-μ_0 rule may be written as Raoulttype equation: α_k/α_(k(o))=X_k; and the activities of component 1 and each component j in the n-component system obeying Turkdogan-type iso-μ_0 rule may be written as Raoult-and Henry-type equations, α_1/α_(1(0))=X_1 and α_j=K_j~*X_j respectively.Satisfactory verifications of the aforementioned results have been made for aqueous solutions, liquid alloys or molten salts.
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Received: 18 February 1981
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