Heat capacity singularity of binary liquid mixtures at the liquid-liquid critical point.

The critical anomaly of the isobaric molar heat capacity for the liquid-liquid phase transition in binary nonionic mixtures is explained through a theory based on the general assumption that their partition function can be exactly mapped into that of the Ising three-dimensional model. Under this approximation, it is found that the heat capacity singularity is directly linked to molar excess enthalpy. In order to check this prediction and complete the available data for such systems, isobaric molar heat capacity and molar excess enthalpy near the liquid-liquid critical point were experimentally determined for a large set of binary liquid mixtures.

Association effects in the {methanol + inert solvent} system via Monte Carlo simulations. II. Thermodynamics.

Mixtures containing associated substances show a singular thermodynamic behaviour that has attracted to scientific community during the last century. Particularly, binary systems composed of an associating fluid and an inert solvent, where association occurs only between molecules of the same kind, have been extensively studied. A number of theoretical approaches were used in order to gain insights into the effect of the association on the macroscopic behaviour, especially on the second-order thermodynamic derivatives (or response functions).

Association effects in the {methanol + inert solvent} system via Monte Carlo simulations. I. Structure.

In this work, the clusters residing in the {methanol + inert solvent} binary system have been characterized using a specific methodology in the framework of Monte Carlo molecular simulations. The cluster classification scheme considered distinguishes into five types: linear chains, cyclic clusters or isolated rings, branched linear chains, branched cyclic clusters, and composite rings. The procedure allows one to compute the next rich structural information: the fraction of molecules in the monomer or associated state, the fraction of each type of aggregate with a given size (and of molecules belonging to them), and the most probable and average cluster size for each type; likewise, the degree of branching in branched linear chains and the size distribution of the inner ring in branched cyclic clusters can be quantified.

Association effects in pure methanol via Monte Carlo simulations. II. Thermodynamics.

A simple methodology [P. Gómez-Álvarez, A. Dopazo-Paz, L.

Association effects in pure methanol via Monte Carlo simulations. I. Structure.

A methodology for the determination of the oligomers residing in a pure associated fluid was developed in the framework of the molecular simulation technique. First, the number of hydrogen bonds between each pair of molecules of the fluid is computed by using a specific criterion to define the hydrogen bonding formation. Secondly, sets of molecules linked by hydrogen bonds are identified and classified as linear chains, cyclic aggregates, branched linear chains, branched cyclic aggregates, and the rest of clustering.

Thermal properties of ionic systems near the liquid-liquid critical point.

Isobaric heat capacity per unit volume, C(p), and excess molar enthalpy, h(E), were determined in the vicinity of the critical point for a set of binary systems formed by an ionic liquid and a molecular solvent. Moreover, and, since critical composition had to be accurately determined, liquid-liquid equilibrium curves were also obtained using a calorimetric method. The systems were selected with a view on representing, near room temperature, examples from clearly solvophobic to clearly coulombic behavior, which traditionally was related with the electric permittivity of the solvent.

On the isobaric thermal expansivity of liquids.

The temperature and pressure dependence of isobaric thermal expansivity, α(p), in liquids is discussed in this paper. Reported literature data allow general trends in this property that are consistent with experimental evidence to be established. Thus, a negative pressure dependence is to be expected except around the critical point.

Thermodynamic consistency near the liquid-liquid critical point.

The thermodynamic consistency of the isobaric heat capacity per unit volume at constant composition C(p,x) and the density rho near the liquid-liquid critical point is studied in detail. To this end, C(p,x)(T), rho(T), and the slope of the critical line (dT/dp)(c) for five binary mixtures composed by 1-nitropropane and an alkane were analyzed. Both C(p,x)(T) and rho(T) data were measured along various quasicritical isopleths with a view to evaluate the effect of the uncertainty in the critical composition value on the corresponding critical amplitudes.

Heat capacity of associated systems. Experimental data and application of a two-state model to pure liquids and mixtures.

The predictions from a recently reported (J. Chem. Phys.

Griffiths-Wheeler geometrical picture of critical phenomena: experimental testing for liquid-liquid critical points.

An experimental approach to the verification of specific relations between thermodynamic properties as predicted from the Griffiths-Wheeler theory of critical phenomena in multicomponent systems is developed for the particular case of ordinary liquid-liquid critical points of binary mixtures. Densities rho(T) , isobaric heat capacities per unit volume C(p)(T) , and previously reported values of the slope of the critical line (dT/dp)c for five critical mixtures are used to check the thermodynamic consistency of C(p) and rho near the critical point. An appropriate treatment of rho (T) data is found to provide the key solution to this issue.

Towards an understanding of the heat capacity of liquids. A simple two-state model for molecular association.

A model for the temperature dependence of the isobaric heat capacity of associated pure liquids C(p,m)(o)(T) is proposed. Taking the ideal gas as a reference state, the residual heat capacity is divided into nonspecific C(p) (res,ns) and associational C(p) (res,ass) contributions. Statistical mechanics is used to obtain C(p)(res,ass) by means of a two-state model.