scholarly journals Statistical thermodynamics of mixtures with zero energies of mixing

1944 ◽  
Vol 183 (993) ◽  
pp. 203-212 ◽  
Keyword(s):  
Thermodynamic Properties ◽  
General Formula ◽  
Statistical Thermodynamics ◽  
Raoult’S Law ◽  
Geometric Properties ◽  
Different Types ◽  
Thermodynamics Of Mixtures ◽  
Raoult's Law

A general formula has been obtained for the number of distinct arrangements of a mixture of any number of different types of molecules each with its own geometric properties. From this are deduced the thermodynamic properties of such mixtures when the energies of mixing are zero. In particular, the generalization of Raoult’s law has been obtained. The technique used is considerably simpler than that previously applied to problems of this type.

Thermodynamic Properties of Eutectic Silumins Doped by Transition Metals

2004 ◽  
Vol 59 (4-5) ◽  
pp. 288-290 ◽  
Author(s):  
D. S. Kanibolotsky ◽  
V. A. Stukalo ◽  
V. V. Lisnyak
Keyword(s):  
Transition Metals ◽  
Thermodynamic Properties ◽  
Electromotive Force ◽  
Thermodynamic Activity ◽  
Raoult’S Law ◽  
Force Method ◽  
Electromotive Force Method ◽  
Raoult's Law

The thermodynamic properties of the liquid silumins (Al0.879Si0.121)1−xTrx, where Tr = Cu, Fe, Ni and Ti, have been measured, using the electromotive force method at 1040 K. It has been found that diluted solutions of Fe or Ni in eutectic silumins at Tr molar fractions of 0 < xFe ≤ 0.035 and 0 < xNi ≤ 0.027 are characterized by positive deviations from ideality for aluminium. However, the deviations become negative at increasing of the Tr concentration. However, molten silumins doped by Ti and Cu show negative deviations from Raoult’s law for aluminium at the studied concentrations. Thermodynamic activity of Al in the silumins decreases in the sequence of Fe→Ni→Cu→Ti for the dopants.

Thermodynamics of mixtures with strongly negative deviations from Raoult’s law

2001 ◽  
Vol 190 (1-2) ◽  
pp. 113-125 ◽  
Author(s):  
S Villa ◽  
N Riesco ◽  
I Garcı́a de la Fuente ◽  
J.A González ◽  
J.C Cobos
Keyword(s):  
Raoult’S Law ◽  
Thermodynamics Of Mixtures ◽  
Raoult's Law

scholarly journals Statistical thermodynamics of mixtures with non-zero energies of mixing

1944 ◽  
Vol 183 (993) ◽  
pp. 213-227 ◽  
Keyword(s):  
Critical Temperature ◽  
Thermodynamic Properties ◽  
Simple Formula ◽  
Chemical Method ◽  
The Other ◽  
Regular Solutions ◽  
First Approximation ◽  
Intermolecular Energy ◽  
Different Types ◽  
Thermodynamics Of Mixtures

A combinatory formula is obtained for g ( N i , X ij ), the number of ways of arranging a mixture of any number of kinds of molecules on a lattice, the values of N i and X ij being specified, where N i denotes the number of molecules of type i, z denotes the number of sites which are neighbours of one site, and zX ij denotes the number of pairs of neighbouring sites occupied one by a molecule of type i . the other by a molecule of type j . Each molecule of type i is assumed to occupy r i sites, where r i is any integer with different values for different types of molecules. This formula is used to derive the thermodynamic properties of mixtures of molecules occupying various numbers of sites, assuming that the intermolecular energy can be regarded as a sum of terms, each pair of neighbours contributing one term. For binary mixtures the formulae obtained are very similar to those previously obtained for ‘regular’ solutions where each molecule occupies one site. A rather simple formula is obtained for the critical temperature and the composition of the critical mixture. The degree of accuracy of the treatment is the same as Chang’s use of Bethe’s first approximation and as the ‘quasi-chemical’ method of approach. A brief investigation of a higher approximation for a binary regular mixture on a close-packed lattice indicates that the errors due to the approximation used are unlikely ever to be serious.

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