Evaluation of thermal analysis equipment for the determination of vapor pressure and heat of vaporization

A rapid, relatively simple method for determining vapor pressure and heat of vaporization on small amounts of organic compounds is described. A DuPont 900 differential thermal analyzer (DTA), a Perkin—Elmer Model DSC-1B differential scanning calorimeter (DSC), and a Thomas—Hoover (TH) melting point apparatus were evaluated in this work. Vapor pressure data for a wide variety of organic liquids were obtained by measuring the boiling points of the liquids at pressures ranging from 20 to 735 torr. A computer was used to rapidly plot the experimental data. The average deviations of boiling points from the literature values were 2.3°C for the DTA 1.2°C for the DSC, and 1.5°C for the TH. The vapor pressure data were used to solve the Haggenmacher equation for heat of vaporization (ΔH_v). The deviations of the experimental values for ΔH_v. from the literature values were 5.5%, 8.3%. and 3.3% for the DTA, DSC, and TH methods, respectively.     

Flow microcalorimeter for heat capacities of solutions

A new type of flow microcalorimeter for measuring heat capacities at constant pressure of liquids and solutions was constructed. This calorimeter is the similar in design to Picker's except for the flow system, which consists of two syringe type of pumps and two flowing paths in each flow cell. It was found that the magnitude of heat loss from cells depended on liquids themselves used and the flow rates of sample liquids. The molar heat capacities, C_p of benzene and ethanol were determined relative to those of cyclohexane and water, respectively. The excess molar heat capacities, C_p(E) for the systems of benzene + cyclohexane and water + ethanol were also determined at 298.15K by the direct mixing method. An inaccuracy for C_p(E) was estimated to be within ± 1%.     

Relation between the vaporization heat and the first ionization potential in series of liquids at normal boiling point

It is shown that a general relationship exists between the latent heat of vaporization and the first ionization potential for liquids at the normal boiling point. The generalized parabolic relation is:

where Y = In(hcωT_B) and X = In(ΔH_v/RT_B), such that ω is the first ionization potential expressed in reciprocal centimeters; while ΔH_v is the latent heat of vaporization at the normal boiling point temperature T_B.     

Structure-property relationships in ILs: A study of the alkyl chain length dependence in vaporisation enthalpies of pyridinium based ionic liquids

The enthalpies of vaporization for the series of pyridinium-based ionic liquids with bis(trifluoromethylsulfonyl)imide anion [CnPy][NTf2] (n = 2, 3, 4, 5, and 6) have been determined with the quartz crystal microbalance technique combined with the Langmuir evaporation. The linear dependence of vaporization enthalpies on the chain length has been revealed. New approach based on volumetric, surface tension, and speed of sound measurements has been developed for estimation of heat capacity differences between gas and liquid phase, which were required for adjustment of measured vaporization enthalpies to the ref- erence temperature 298 K.     

Aprotic Ionic Liquids: A Framework for Predicting Vaporization Thermodynamics

Ionic liquids (ILs) are recognized as an environmentally friendly alternative to replacing volatile molecular solvents. Knowledge of vaporization thermodynamics is crucial for practical applications. The vaporization thermodynamics of five ionic liquids containing a pyridinium cation and the [NTf₂] anion were studied using a quartz crystal microbalance. Vapor pressure-temperature dependences were used to derive the enthalpies of vaporization of these ionic liquids. Vaporization enthalpies of the pyridinium-based ionic liquids available in the literature were collected and uniformly adjusted to the reference temperature T = 298.15 K. The consistent sets of evaluated vaporization enthalpies were used to develop the “centerpiece”-based group-additivity method for predicting enthalpies of vaporization of ionic compounds. The general transferability of the contributions to the enthalpy of vaporization from the molecular liquids to the ionic liquids was established. A small, but not negligible correction term was supposed to reconcile the estimated results with the experiment. The corrected “centerpiece” approach was recommended to predict the vaporization enthalpies of ILs.     

Correlation for prediction of vapor pressures of pure fluids incorporating renormalization group formulations with corresponding-states principle

A simple correlation for predicting the vapor pressures of coal liquids between the freezing and critical points, and extending to normal fluids, has been developed on the basis of renormalization group theory and phenomenological scaling theory. The Clapeyron equation has been reduced to the integral form

to represent vapor pressure using a generalized correlation developed by Sivaraman et al. (1983) for the prediction of latent heats of vaporization of normal fluids and coal-liquid model compounds. L*, the dimensionless latent heat of vaporization, andΔz, the difference between the compressibility factors of the saturated vapor and liquid, are given by the corresponding-states correlations

and

based on the formulations of Pitzer et al. (1955). A simple expression for the latent heat of vaporization developed by Torquato and Stell (1982) is incorporated into this correlation. The vapor-pressure correlation has been tested successfully for 23 pure-component systems including aromatic and heterocyclic compounds often found in coal liquids and shale oil in the region 0 〈 ε = (T_c-T)/T_c 〈 0.69. The deviations in the predicted vapor pressures are in the range 0.11–5.45%.     

Enthalpic changes on mixing two couples of S- and R-enantiomers of heptane-2-ol, octane-2-ol, nonane-2-ol, 3-chloro-propane-1,2-diol, 2-methyl-1,4-butanediol at 298.15 K

Enthalpies of mixing of (R)- and (S)-enantiomers of liquid chiral compounds such as heptane-2-ol, octane-2-ol, nonane-2-ol, 3-chloro-propane-1,2-diol and 2-methyl-1,4-butanediol have been measured over a range of mole fractions at 298.15 K, albeit very small values. Mixing of heterochiral liquids of heptane-2-ol, octane-2-ol, nonane-2-ol, 3-chloro-propane-1,2-diol, realized enthalpic destabilization over the whole range of mole fractions, whereas that of 2-methyl-1,4-butanediol realized enthalpic stabilization over entire compositions. The maximum values of enthalpies of mixing and the intermolecular interaction of cohesive energy density and entropy of vaporization showed a linear correlation except for the compounds having two chiral centers and others.     

Relation between the vaporization heat and the vibrational frequencies for monatomic and diatomic liquids

Reassessing the previously found linear correlation between the latent heat of vaporization and the Raman spectra for hydrocarbons; it has been found that smooth connections exist also for diatomic and monatomic liquids. This finding permits:     

Development of a group contribution method for the estimation of heat capacities of ionic liquids

In this communication, a new approach is presented which combines a group-contribution (GC) method approach with genetic function approximation (GFA) for the prediction of liquid heat capacities at constant pressure (C _pL) for ionic liquids at atmospheric pressure. The proposed method can be used instead of complicated nonlinear modeling approaches like artificial neural networks and support vector machine. The NIST standard reference database was used to prepare a dataset for C _pL data. The dataset comprised 82 ionic liquids and consisted of 3,726 experimental data points. The dataset was divided such that 80 % of the data were used as a training set, and 20 % as a validation and test set. GFA was used to select functional groups, from which the GC based model was developed. Statistical analysis of the model shows that it has an overall average absolute relative deviation of 1.68 %, coefficient of determination (R ²) of 0.990, and root mean square of error (RMSE) of 18.42 J mol^?1 K^?1.     

Thermal degradation of honeys and evaluation of physicochemical properties

We applied DSC for the determination of enthalpies of synthesis reactions of pyridinium- and pyrrolidinium-based ionic liquids (ILs) from pyridine (or N-methyl-pyrrolidine) and n-alkyl bromides (with n = 4, 5, 6, 7, and 8). The combination of reaction enthalpy measurements by DSC with modern high-level first-principles calculations opens valuable indirect thermochemical options to obtain values of enthalpies of the formation and vaporization enthalpies of ILs.     

A nonparametric scaling equation of state for liquids

A new nonparametric scaling equation of state is suggested. The equation correctly describes the p-ρ-T data and heat capacities of liquids close to the critical vaporization points. It was obtained with the use of the S spinodal and the mixing of scaling fields as a first approximation (asymmetric and nonasymptotic terms were ignored). The new equation was used to approximate the data on ⁴He, C₂H₄, and H₂O in the critical region. The results showed that it correctly described the critical behavior of thermodynamic functions, including isochoric heat capacity, not only in the asymptotic but also over a fairly wide density region at the critical point. The suggested equation of state describes the p-ρ-T data with the same error as the Schofield parametric equation of state. The new equation, however, better reproduces the behavior of heat capacities and is much simpler to use. As distinct from the Schofield equation, the new equation, like classic equations of state, allows the spinodal to be determined from the (?p/?v) _T = 0 condition at T < T _c .     

The heat of vaporization and nanocavity formation

Two distinct approaches are used to derive a unique and exact analytical expression for the heat of vaporization with respect to the nanocavity energy formation and the molecular hard-core diameter. This expression provides a new method to compare different models of cavity formation in the liquids as well as to predict the effective molecular hard-core diameter at different temperatures and pressures. The effective hard-core diameters and cavity formation energies of liquid Ar, Xe and CH₄ are calculated at various temperatures and pressures using different cavity formation models and they are compared. It is found that the effective hard-core diameter generally decreases with increase of temperature as expected and it increases with increase of pressure.     

Injection effect on the sensitivity in an isothermal titration calorimeter

By using electrical calibrations and with the injection of liquids with very different heating capacities (water and cyclohexane), it is made a thorough evaluation of the ‘injection effect’ in terms of the parameter ρc _p f (ρc _p – volumetric heat capacity, f – injection flow) in an isothermal titration calorimeter. This effect can be evaluated accurately in the case of non-volatile liquids, however, when dealing with volatile liquids, the uncertainty in their determination increases because of the vaporization heat.     

Monte Carlo simulations of pure liquid substituted benzenes with OPLS potential functions

Intermolecular potential functions have been developed for use in computer simulations of substituted benzenes. Previously reported optimized potentials for liquid simulations (OPLS) for benzene and organic functional groups were merged and tested in Monte Carlo statistical mechanics simulations for the pure liquids of toluene, m-cresol, anisole, aniline, and benzonitrile at 25°C at 1 atm. The merged potential functions yielded acceptable thermodynamic results for the liquids except in the case of aniline, for which the error in the heat of vaporization was 12%. This was remedied by enhancing the polarity of the model to be more consistent with the observed dipole moment of aniline. Overall, the average errors in computed heats of vaporization and densities were then 2 and 1%, respectively. The structures of the liquids were characterized through energy and radial distribution functions. For m-cresol and aniline, the molecules participate in averages of 1.6 and 1.4 hydrogen bonds, respectively. Condensed phase effects on the torsional energies for anisole, m-cresol, and aniline were found to be small; m-cresol has a slightly enhanced tendency to be nonplanar in the liquid than in the gas phase, while anisole shows the opposite pattern. © 1993 John Wiley & Sons, Inc.     

The enthalpies of vaporization and intermolecular interaction energies of 1-chloroalkanes

The enthalpies of vaporization of 1-chloroalkanes containing n = 3–20 carbon atoms were calculated from saturated vapor pressure data. It was shown that the enthalpies of vaporization of 1-chloroalkanes could be calculated on the basis of model concepts of the structure of liquids from experimental liquid density and sound velocity data.     

The prediction of vapor—liquid equilibrium from heat of mixing data for binary hydrocarbon—ketone mixtures

The method of Hanks et al. for predicting vapor—liquid equilibrium (VLE) from heat of mixing (h^E) data was successfully applied to binary hydrocarbon—ketone mixtures. The LEMF model for the excess free energy was found to be the most adequate to correlate experimental g^E and h^E data simultaneously for these mixtures. The predicted vapor-liquid equilibrium values were compared to experimental values and good agreement was found. The dependence of the accuracy of the VLE data predictions on the experimental uncertainties of heat of mixing data and on the set of parameters obtained by fitting these data to the algebraic equation for h^E is discussed.     

The influence of the supramolecular structure of water on the kinetics of vaporization

The kinetics of water vaporization was studied gravimetrically using a Q-1500 D derivatograph with an accuracy of ±5 × 10^?5 g under atmospheric conditions. Various supramolecular structures were created in liquid water using solutions of K, Na, Ba, and Zn chlorides with various concentrations. The kinetic dependences of weight P loss caused by the vaporization of solutions were compared with the data on pure water used to prepare the solutions. The dependence of the rate of vaporization V on the concentration of hydrated ions in solutions was used to show that the rate V is the sum of the rates of vaporization of particles of two types, (a) H₂O molecules and (b) supramolecular formations (H₂O clusters) with H-bonds. As a consequence, a nonlinear (piecewise linear) dependence of the kinetics of vaporization P = f(τ) of water and solutions is observed. The rate of vaporization (V ₁) along the initial P = f(τ) curve portions is substantially (by ～30%) higher than its stationary value (V).     

A group contribution method to estimate the densities of ionic liquids

Densities of ionic liquids at different temperature and pressure were collected from 84 references. The collection contains 7381 data points derived from 123 pure ionic liquids and 13 kinds of binary ionic liquids mixtures. In terms of the collected database, a group contribution method based on 51 groups was used to predict the densities of ionic liquids. In group partition, the effect of interaction among several substitutes on the same center was considered. The same structure in different substitutes may have different group values. According to the estimation of pure ionic liquids’ densities, the results show that the average relative error is 0.88% and the standard deviation (S) is 0.0181. Using the set of group values three pure ionic liquids densities were predicted, the average relative error is 0.27% and the S is 0.0048. For ionic liquid mixtures, they are thought considered as idea mixtures, so the group contribution method was used to estimate their densities and the average relative error is 1.22% with S is 0.0607. And the method can also be used to estimate the densities of MCl_x type ionic liquids which are produced by mixing an ionic liquid with a Cl^? anion and a kind of metal chloride.     

Excess heat capacities and excess volumes of binary liquid mixtures of chloroform with cyclic ethers at 298.15 K

Molar excess heat capacities at constant pressure, C^E_p, of binary liquid mixtures chloroform + oxolane, chloroform + 1,3-dioxolane, chloroform + oxane, and chloroform + 1,4-dioxane have been determined at 298.15 K from measurements of volumetric heat capacities in a Picker flow microcalorimeter. A precision of ±0.04 J K^?1 mole^? was achieved by using the stepwise procedure. Experimental molar excess heat capacities are compared with values derived from H^E results at different temperatures. Excess molar volumes, V^E, for the same systems at 298.15 K have been determined by measuring the density of the pure liquids and solutions with a high-precision digital flow densimeter.     

Calorimetric determination of equilibrium phase diagrams of inorganic systems

Calorimetric isobaric determination of the heat involved during mixing processes gives the concentration dependence of the enthalpy of mixing ΔH_M = F(x) and also, under particular conditions, some liquids concentrations of the phase diagram.For some simple typical diagrams (with a eutectic point or miscibility gaps, or a definite compound etc.) direct calorimetric experiments at many temperatures give the liquidus (e.g. NaBrNaNO₃, KBrKNO₃, NaBKNO₃, KBrNaNO₃, GaHg, GaSb).For more complicated or multicomponent systems, the setting up of the equilibrium phase diagram needs both experimental measurement and thermodynamic calculations (e.g. GaInSb).