Effects of additives (methanol and NaCl) from aqueous surfactant solutions on the micellisation of sodium deoxycholate and sodium cholate binary mixture in the temperature interval T = (278.15–318.15) K: The molar excess Gibbs energy and the molar Gibbs energy of the micelle formation

2020 ◽  
Vol 150 ◽  
pp. 106179 ◽  
Author(s):  
Mihalj Poša ◽  
Ana Pilipović
Keyword(s):  
Gibbs Energy ◽  
Binary Mixture ◽  
Temperature Interval ◽  
Excess Gibbs Energy ◽  
Micelle Formation ◽  
Sodium Deoxycholate ◽  
Sodium Cholate ◽  
Molar Gibbs Energy ◽  
Molar Excess ◽  
Surfactant Solutions

scholarly journals Thermodynamic investigation of liquid properties of the Ni–Sn–Ti ternary system using CALPHAD method and geometric models

2016 ◽  
Vol 1 (4) ◽  
pp. 14
Author(s):  
Vanya Gandova
Keyword(s):  
Liquid Phase ◽  
Thermodynamic Properties ◽  
Gibbs Energy ◽  
Excess Gibbs Energy ◽  
Geometric Model ◽  
Calphad Method ◽  
Geometric Models ◽  
Molar Excess Gibbs Energy ◽  
Molar Excess ◽  
Ternary Parameters

Predictions for the liquid Ni–Sn–Ti alloys thermodynamic properties (molar excess Gibbs energy) are presented. The calculations were performed in the temperature range 1000–2000 K.  Geometric models (using data from the binary end-systems) were used and the respective calculated molar excess Gibbs energy values were compared to CALPHAD method assessments. The concentration dependences of the liquid phase thermodynamic properties along different vertical sections Sn:Ti, Ni:Ti and Ni:Sn were estimated.Ternary interaction parameters (L0, L1 and L2) of the liquid phase were determined using General solution (geometric) model from thermodynamic data of the binary end–systems (Ni–Sn, Ni–Ti, Sn–Ti).  Ternary parameters exhibit values: L0 = - 70360.5 - 0.263*T; L1 = -113023 - 11.574*T; L2 = - 131755 - 17.101*T. Negative molar excess Gibbs energies were obtained by all models.

On Temperature Dependence of Excess Gibbs Energy

1999 ◽  
Vol 64 (7) ◽  
pp. 1093-1099 ◽  
Author(s):  
Ivona Malijevská ◽  
Anatol Malijevský
Keyword(s):  
Heat Capacity ◽  
Gibbs Energy ◽  
Temperature Dependence ◽  
Excess Gibbs Energy ◽  
Excess Enthalpy ◽  
Excess Heat Capacity ◽  
Wilson Equation ◽  
Excess Heat ◽  
Energy Excess ◽  
Wilson And Nrtl Equations

Temperature dependence of GE is discussed for three widely used equations linear and nonlinear in parameters. It is shown that the Wilson equation predicts always positive excess heat capacity regardless of values of its parameters. Several temperature modifications of the Redlich-Kister, Wilson and NRTL equations are discussed with respect to the sign of the excess Gibbs energy, excess enthalpy and excess heat capacity.

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