An Extended Belda Equation for Physico-chemical Properties Correlation in Binary Liquid Mixtures at Different Temperatures

Abstract

INTRODUCTIONPhysico-chemical features of fluid systems are essential for recognizing different thermodynamic behaviours. Diverse physico-chemical characteristics such as density, molar volume, viscosity, surface tension and refractive index should be considered for optimizing and designing fluids [1,2].Some published articles concerning the physico-chemical quantities of fluid show that the majority of them display nonideal behaviour or not arranged in a straight line. Accordingly, the estimations of the above quantities or their variations necessitate empirical or semi-empirical formulae able to give a consistent estimation of their specific features [3][4][5].The present research suggests an extension of Belda equation [5][6][7] giving dependable assessment of the special physicochemical or thermodynamic quantities (density, viscosity, molar volume, surface tension and refractive index, etc.) of dual combinations of fluids against of mole composition. The judgment of the investigational data of those quantities versus Belda model and our proposed extension has been carried out.Correlation equations: For most cases mixing operations in applied chemistry and in industrial engineering is difficult due to the non-straight line performance. Then, accurate statistics have to be obtainable with forms able to furnishing a consistent judgment of physical and chemical properties for different behaviours of liquid mixtures. In general, the theoretical description of concepts related to properties is therefore quite complex and exact explicit expressions are absent. This is the reason why several models have been suggested, extended and/ or modified over the years referred on some theories, or empirical and semi-empirical equations which are constantly unrelated to every kind of binary liquid mixtures. Moreover, investigations on the physico-chemical quantities of dual mixtures show that a large amount of them reveal non-ideal or non-linear behaviours. Consequently, the search of these quantities or their excess or variations necessitates mathematical expressions eligible of giving a valid approximation of their behaviours [1][2][3][4][5][6][7][8]. An Extended Belda Equation for Physico-chemical Properties Correlation in Binary Liquid Mixtures at Different TemperaturesIn the present work, different properties (Y) were correlated with molar composition using the Belda [5] correlation equation and our proposed extension which uses a correcting factor to the linearity. The equation has been applied at least to 26 binary liquid mixtures. The validity versus the magnitude and accuracy of the adjustable parameters is compared and discussed for each property.

Boiling point estimation of 1-butanol and nitromethane by the viscosity- temperature dependence study of corresponding binary fluid systems

“…With this finding, we can predict the boiling point of the two pure constituents at constant pressure through investigation of the viscosity-temperature dependence in the corresponding fluid phase. We can add that this paramount finding is also tested for other studied previous works [10,[12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] in different binary systems ( Table 6 ). Taking into consideration the accuracy of data and the errors made in the calculations, we can deduce that the Arrhenius' current temperature at very high concentration of one constituent (TAi) at (xi≈1), is very close to its corresponding boiling temperature while in the other cases, the Arrhenius' current temperatures (TAi) at (xi≠1) is strongly correlated with the vaporization temperature of the isobaric fluid vapor equilibrium of the corresponding binary system.…”

“…Correlation between the Arrhenius' current temperatures (TcAi) / K at (xi≈1) for the pure constituent (i) and the corresponding boiling temperature Tbi / K determined by couple of constituents from some binary fluid systems studied previously (Eqs. 8 or 10) [10,[11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] portrayed in Table 7 is plotted in Fig. 8.…”

“…In this framework, new correlation will be developed for the nanofluids attributes in terms of particles volumetric concentration and absolute temperature measurements. We can add that, due to the cohesive forces, the causal correlation between the Arrhenius parameters and the absolute temperature through the temperature of vaporization is highly affected by the surface tension, enthalpy of vaporization, and the friccohesity [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29].…”