The specific heat anomaly in some ternary liquid mixtures near a critical solution point

1981 ◽  
Vol 75 (3) ◽  
pp. 1488-1495 ◽  
Author(s):  
E. Bloemen ◽  
J. Thoen ◽  
W. Van Dael
Keyword(s):  
Specific Heat ◽  
Liquid Mixtures ◽  
Critical Solution Point ◽  
Solution Point

Die molare freie Zusatzenthalpie am kritischen Entmischungspunkt als Kriterium für Modelltheorien flüssiger Mischungen / Molar Excess Free Energy at the Critical Solution Point as a Criterion of Model Theories for Liquid Mixtures

1976 ◽  
Vol 31 (6) ◽  
pp. 602-610
Author(s):  
Friedrich Becker ◽  
Michael Kiefer ◽  
Peter Rhensius
Keyword(s):  
Excess Free Energy ◽  
Equilibrium Constants ◽  
Liquid Mixtures ◽  
Model Parameters ◽  
Specific Solvation ◽  
Binary Liquid ◽  
Nearest Neighbours ◽  
Critical Solution Point ◽  
Solution Point ◽  
Critical Mixing

Theoretical expressions of GΕ/RT for symmetric and unsymmetric binary liquid mixtures, as proposed by Guggenheim, Redlich and Kister, van Laar, Renon and Prausnitz, are compared with the equilibrium model theory which we have developed some years ago, with respect to their predictions of GcΕ/RTc, and its dependence on the number of nearest neighbours, on the critical mole fraction, and on other model parameters. Equilibrium models allow discussion of critical mixing by means of a relation between the two equilibrium constants used. This is done for two typical examples: Mutual unspecific solvation of both components, coupled with (1) unsymmetric selfassociation. and (2) unsymmetric specific solvation. A discussion of phase separation at negative values of GcΕ/RTc is given

The specific heat anomaly in triethylamine–heavy water near the critical solution point

1980 ◽  
Vol 73 (9) ◽  
pp. 4628-4635 ◽  
Author(s):  
E. Bloemen ◽  
J. Thoen ◽  
W. Van Dael
Keyword(s):  
Specific Heat ◽  
Heavy Water ◽  
Critical Solution Point ◽  
Solution Point

ChemInform Abstract: THE SPECIFIC HEAT ANOMALY IN TRIETHYLAMINE-HEAVY WATER NEAR THE CRITICAL SOLUTION POINT

1981 ◽  
Vol 12 (10) ◽  
Author(s):  
E. BLOEMEN ◽  
J. THOEN ◽  
W. VAN DAEL
Keyword(s):  
Specific Heat ◽  
Heavy Water ◽  
Critical Solution Point ◽  
Solution Point

Specific heat of the liquid mixtures of neon and hydrogen isotopes in the phase-separation region

Physica ◽  
1970 ◽  
Vol 50 (1) ◽  
pp. 93-124 ◽  
Author(s):  
J.P. Brouwer ◽  
C.J.N. Van Den Meijdenberg ◽  
J.J.M. Beenakker
Keyword(s):  
Phase Separation ◽  
Specific Heat ◽  
Hydrogen Isotopes ◽  
Liquid Mixtures ◽  
Separation Region ◽  
Phase Separation Region

scholarly journals Theoretische Behandlung flüssiger Mischungen mit Hilfe von Gleichgewichtsmodellen. Teil I: Binäre symmetrische Mischungen / Theoretical Treatment of Liquid Mixtures by Means of Equilibrium Models

1972 ◽  
Vol 27 (11) ◽  
pp. 1611-1624
Author(s):  
F. Becker ◽  
M. Kiefer ◽  
P. Rhensius
Keyword(s):  
Molecular Model ◽  
Equilibrium Constants ◽  
Energy Parameter ◽  
Liquid Mixtures ◽  
Mass Action ◽  
Theoretical Treatment ◽  
Excess Functions ◽  
Solution Point ◽  
Self Association ◽  
Point G

Abstract A thermodynamic theory of liquid mixtures based on a simple molecular model is developed which describes the equilibrium state as the result of a coupling between a "chemical" and a "statistical" equilibrium. The intermolecular interactions are taken into account by considering "complexes" formed between a given molecule and its z nearest neighbours. The equilibrium mole fractions of these complexes are calculated by application of the ideal law of mass action to an appropriate set of "exchange equilibria". Formulae for the excess functions GE and HE and for the activities of the components are derived for the cases z=1 and z=4. GE depends on an equilibrium constant K describing the deviation from random distribution of the equilibrium mole fractions of the complexes. HE depends on K and on an energy parameter w which is related to differences of pair interactions. K and w are independent parameters, and there is no limitation in respect to amount and sign of the excess functions. The conditions for the existence of a critical solution point are formulated; at this point GE has a value of about 0.56 R T. If a model with two equilibrium constants is used allowing for instance competition between "self-association" and "complex-formation", the existence of closed miscibility gaps becomes possible. Closed miscibility curves are calculated and the conditions for their appearance are discussed. The relations between this theory and Guggenheim's statistical lattice theory of symmetrical mixtures are pointed out.

scholarly journals THE CRITICAL SOLUTION POINT OF URINE: A NEW PHYSICO-CHEMICAL METHOD OF EXAMINATION

BMJ ◽  
1908 ◽  
Vol 1 (2457) ◽  
pp. 254-257
Author(s):  
W. R. G. Atkins
Keyword(s):  
Chemical Method ◽  
Physico Chemical ◽  
Critical Solution Point ◽  
Solution Point

ChemInform Abstract: SURFACE TENSION OF A TWO-COMPONENT LIQUID MIXTURE NEAR ITS CRITICAL SOLUTION POINT

1983 ◽  
Vol 14 (8) ◽  
Author(s):  
N. NAGARAJAN ◽  
W. W. WEBB ◽  
B. WIDOM
Keyword(s):  
Surface Tension ◽  
Liquid Mixture ◽  
Two Component ◽  
Critical Solution Point ◽  
Solution Point
Sign in / Sign up

Export Citation Format

Share Document