Corresponding states theory and thermodynamic properties of liquid alkali metals

Abstract

According to phenomenological scaling and the law of corresponding states, reduced coordinates F * -T * , where F * represents the reduced thermodynamic properties (enthalpy of vaporization, speed of sound, surface tension, saturated liquid density) and T * is the reduced temperature, are introduced for the prediction of the thermodynamic properties of alkali metals. Values of the thermodynamic properties from the melting point up to boiling point are correlated. It has been shown that the correlation between reduced thermodynamic properties, as well as with the reduced temperature, can be expressed as a unique straight-line plot with a linear correlation coefficient of 0.9998. The proposed correlation has a simple form for easy calculation, requires only the melting and boiling point parameters, which are usually easy to acquire, and can predict the thermodynamic properties from the melting temperature up to the boiling temperature accurately.

Density prediction of liquid alkali metals and their mixtures using an artificial neural network method over the whole liquid range

“…Table 5 shows the AAD% values between the experimental molar density data and calculated values by this work and those calculated using perturbed Lennard-Jones chain (PLJC) EoS with fitted parameters (PLJC-1) [21], PLJC EoS with the predicted parameters from correlations (PLJC-2) [21], perturbed chain statistical associating fluid theory (PC-SAFT) EoS [29], and also with an EoS based on LJ (6-3) potential function [24]. The PLJC EoS belongs to a class of theoretically based EoSs that are formulated based on continuum space (as opposed to lattice space) liquid state perturbation theories.…”

“…During the last decades, many studies have been devoted to prediction of thermodynamic properties of liquid alkali metals [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24], and their alloys [25][26][27][28][29]. Different authors used different equations and methods to predict and reproduce the thermodynamic properties of these systems.…”

Corresponding states theory for the prediction of surface tension of ionic liquids

“…3 Comparison of experimental and calculated surface tension at melting temperature they do well. Moreover, the effectiveness of T m , and T b as scaling parameters has been observed for liquid alkali metals [14]. Thus, we may classify those sets that suggest a universal relation, as desirable from a CST viewpoint.…”

“…Empirical relationships for the surface tension of ILs are shown to follow from the principle of corresponding states and are defined as [14,15]:…”

“…In this work, we propose simple regularities for surface tension of ILs, which has been applied for alkali metals [14] and alkali halides [15]. The reliability and utility of the modification proposed herein are established by performing detailed comparisons of the experimental values from the melting temperature up to the boiling temperature.…”