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Showing papers on "Standard molar entropy published in 2018"


Journal ArticleDOI
TL;DR: In this paper, an explicit representation of molar entropy for gaseous substances was established based on the improved Rosen-Morse oscillator for describing the internal vibration of a molecule, using the dissociation energy, equilibrium internuclear distance and harmonic vibrational frequency.

101 citations


Journal ArticleDOI
TL;DR: In this article, an explicit representation of molar entropy for gaseous substances is presented, and the molar entropies can be successfully predicted by applying experimental values of only four molecular constants for the carbon monoxide, hydrogen chloride, hydrogen fluoride, deuterium fluoride and nitrogen monoxide.

83 citations


Journal ArticleDOI
TL;DR: In this article, the authors synthesize and characterize Cl-bearing Mg-Al-LDH (MgxAlyZrz(OH)2Cl(2x+3y+4z−−2)) with different Zr-content and evaluate their thermodynamic properties, especially their solubility as a function of temperature.

32 citations


Journal ArticleDOI
Pengshuai Zhang1, Rui Zhao1, Chi Zhang1, Yameng Wan1, Tao Li1, Baozeng Ren1 
TL;DR: In this paper, the experimental results reveal that the mole fraction solubility of cyromazine increased with the increase of temperature in the three solvents, and the positive values of ΔsolH0, ΔsolG0, ζH≥ 0.5984 and ζTS

32 citations


Journal ArticleDOI
TL;DR: An updated group-contribution method with additional curated thermodynamic data used in fitting and capabilities to calculate equilibrium constants as a function of temperature is presented.

31 citations


Journal ArticleDOI
TL;DR: The correlation between the degree of proton transfer and aqueous ΔpKa or ΔrHmθ was investigated and it was found that in some special cases, ΔrSmθ, especially the entropy change of symmetry, also plays an important role in affecting thedegree ofProton transfer.
Abstract: The degree of proton transfer and thermodynamic parameters of six acetate-based protic ionic liquids (PILs) were measured using nuclear magnetic resonance spectroscopy and calculated by van't Hoff analytical method, respectively. The degree of proton transfer of these PILs at 298 K spread over a large range, which is from 39.6% (1-methylpyrrolidinium acetate, [MpyrH][AcO]) to 94.4% (1-butylimidazolium acetate, [BuimH][AcO]). The calculated standard enthalpy change of the reaction (ΔrHmθ) is from -23.30 to -7.80 kJ mol-1 and the standard entropy change of the reaction (ΔrSmθ) is from -42.70 to -8.07 J mol-1 K-1. The correlation between the degree of proton transfer and aqueous ΔpKa or ΔrHmθ was investigated as well. Furthermore, in some special cases, ΔrSmθ, especially the entropy change of symmetry, also plays an important role in affecting the degree of proton transfer.

28 citations


Journal ArticleDOI
TL;DR: In this paper, a set of vaporization and formation enthalpies for the diphenyl oxide at 298.15 K (in kJ·mol−1) were derived from the transpiration method.

24 citations


Journal Article
TL;DR: The degree of proton transfer and thermodynamic parameters of six acetate-based protic ionic liquids (PILs) were measured using nuclear magnetic resonance spectroscopy and calculated by van't Hoff analytical method, respectively as discussed by the authors.
Abstract: The degree of proton transfer and thermodynamic parameters of six acetate-based protic ionic liquids (PILs) were measured using nuclear magnetic resonance spectroscopy and calculated by van’t Hoff analytical method, respectively. The degree of proton transfer of these PILs at 298 K spread over a large range, which is from 39.6% (1-methylpyrrolidinium acetate, [MpyrH][AcO]) to 94.4% (1-butylimidazolium acetate, [BuimH][AcO]). The calculated standard enthalpy change of the reaction (ΔᵣHₘᶿ) is from −23.30 to −7.80 kJ mol–¹ and the standard entropy change of the reaction (ΔᵣSₘᶿ) is from −42.70 to −8.07 J mol–¹ K–¹. The correlation between the degree of proton transfer and aqueous ΔpKₐ or ΔᵣHₘᶿ was investigated as well. Furthermore, in some special cases, ΔᵣSₘᶿ, especially the entropy change of symmetry, also plays an important role in affecting the degree of proton transfer.

24 citations


Journal ArticleDOI
TL;DR: In this paper, the standard entropy and lattice potential energy (UPOT) for pure PILs were estimated from molecular volumes at 298.15 K obtained using experimental density data.
Abstract: Physicochemical properties of diethylammonium (DEA)-based protic ionic liquids and their aqueous solutions were obtained using experimental measurements of density (ρ) at different temperatures from T = (293.15 to 313.15) K and the speed of sound (w) at 298.15 K. Four DEA-based protic ionic liquids (PILs) with carboxylates as anions were synthesized. The standard entropy (S0) and lattice potential energy (UPOT) for pure PILs were estimated from molecular volumes at 298.15 K obtained using experimental density data. Apparent molar volumes (ϕV), isobaric expansivity (α), isentropic compressibility (βS), and isothermal compressibility (βT) have been obtained for aqueous solutions of PILs using experimental density and speed-of-sound data. These data have been further used to understand the electrostriction and concentration dependence of internal pressure. The Passynski method has been used to estimate concentration-dependent hydration numbers of PILs. The results obtained have been discussed in terms of con...

20 citations


Journal ArticleDOI
TL;DR: Though the cobaltite's stability range is wider than nickelate's both in terms of T and pO2, both complex oxides were found to be stable only at reasonably high temperatures and in oxidizing conditions, and metastable at low temperatures.
Abstract: The values of standard enthalpy of formation at 298.15 K and 1 atm for the double perovskites Sr2NiMoO6 and Sr2CoMoO6, measured by means of drop solution calorimetry, were found to be -2418.1 ± 12.4 and -2422.9 ± 9.6 kJ mol-1, respectively. Heat capacity of Sr2NiMoO6 and Sr2CoMoO6 was measured between 2 and 370 K using relaxation and adiabatic calorimetry, and the enthalpy increments - between 373 and 1273 K using drop calorimetry. Low-temperature magnetic and higher-temperature structural phase transformations in Sr2NiMoO6 and Sr2CoMoO6 were discussed from the thermodynamic point of view. Specific heat (Cp), standard enthalpy (ΔT0H0) and standard entropy (S0) functions were derived from the experimental data for both double perovskites. The values of Cp, ΔT0H0 and S0 at 298.15 K were determined to be 202.31 ± 0.61 J mol-1 K-1, 36.12 ± 0.18 kJ mol-1 and 231.3 ± 1.6 J mol-1 K-1 for Sr2NiMoO6, and 212.66 ± 0.64 J mol-1 K-1, 38.25 ± 0.19 kJ mol-1 and 244.4 ± 1.7 J mol-1 K-1 for Sr2CoMoO6, respectively. Additionally, using the thermodynamic data available, phase diagrams with respect to T and pO2 showing stability limits and decomposition products were calculated for Sr2NiMoO6 and Sr2CoMoO6. Though the cobaltite's stability range is wider than nickelate's both in terms of T and pO2, both complex oxides were found to be stable only at reasonably high temperatures and in oxidizing conditions, and metastable at low temperatures.

19 citations


Journal ArticleDOI
TL;DR: A correlation describing the formation of IL-based ABS is shown, based on the hydrogen-bonding interaction energies of ILs obtained by the COnductor-like Screening MOdel for Real Solvents (COSMO-RS) and the molar entropy of hydration of the salt ions.
Abstract: Aqueous biphasic systems (ABS) composed of ionic liquids (ILs) and conventional salts have been largely investigated and successfully used in separation processes, for which the determination of the corresponding ternary phase diagrams is a prerequisite. However, due the large number of ILs that can be prepared and their high structural versatility, it is impossible to experimentally cover and characterize all possible combinations of ILs and salts that may form ABS. The development of tools for the prediction and design of IL-based ABS is thus a crucial requirement. Based on a large compilation of experimental data, a correlation describing the formation of IL-based ABS is shown here, based on the hydrogen-bonding interaction energies of ILs (EHB) obtained by the COnductor-like Screening MOdel for Real Solvents (COSMO-RS) and the molar entropy of hydration of the salt ions. The ability of the proposed model to predict the formation of novel IL-based ABS is further ascertained.

Journal ArticleDOI
TL;DR: In this paper, the solvent extraction experiment was investigated to probe the desorption behaviors and mechanism of oily sludge with n-heptane as solvent, and the thermodynamics parameters such as standard free energy, standard enthalpy, standard entropy and standard entropy were calculated.
Abstract: In this study, the solvent extraction experiment was investigated to probe the desorption behaviors and desorption mechanism of oily sludge with n-heptane as solvent. Desorption isotherms were analyzed and fitted by Langmuir, Freundlich and Redlich-Peterson equations at different temperatures. Then, the thermodynamics parameters such as standard free energy (ΔG°), standard enthalpy (ΔH°) and standard entropy (ΔS°) were calculated. Based on thermodynamics analysis and calculation, oil was proved to exist in the form of the colloidal dispersion system. In addition, the kinetics was fitted by the pseudo-first-order kinetic model and the pseudo-second-order kinetic model. Kinetic studies showed that desorption process of asphaltenes was restrained severely due to strong interactions between sludge and asphaltenes, and resins played a crucial role in asphaltenes desorption. The desorption mechanism was discussed based on experimental results and further analysis. The solvent effect and carry-over effect were deemed to be crucial to oil desorption. The carry-over effect is generated from electrostatic interactions, hydrogen bonds, electron donor-acceptor and π-π interactions, which was also the essence of asphaltenes desorption.

Journal ArticleDOI
22 Mar 2018-Energy
TL;DR: The shape of the liquid-vapor saturation curve in a Tr−s∗ diagram for a given fluid is mainly governed by the acentric factor, ω, and the critical molar volume, vc, of the fluid.

Journal ArticleDOI
Qingguo Zhang1, Dongye Liu1, Qing Li1, Xinyuan Zhang1, Ying Wei1, Lang Xiaoshi1 
TL;DR: In this article, two binary systems of ionic liquids (ILs) were prepared over the whole concentration using the COSMO-RS methodology and the Redlich-Kister (R-K) polynomial equation.

Journal ArticleDOI
TL;DR: In this paper, a short-range electrostatic forcefield model was applied for the first time to investigate the Raman and infrared wave numbers in pyrochlore zirconates R2Zr2O7 (R3+ = La, Nd, Sm, Eu).

Journal ArticleDOI
TL;DR: In this article, the authors measured the physicochemical properties of 23 hydrophobic ILs at room temperature and determined the thermal expansion coefficient, molecular volume, standard molar entropy and lattice energy for each IL using empirical and semi-empirical equations.
Abstract: BACKGROUND Ionic liquids (IL) are an interesting solvent choice for specific industrial applications since physicochemical properties can be fine-tuned by modifying the substituent groups or the cation/anion pair. Hydrophobic IL are considered as green solvents and known to be good absorbents for hydrophobic organic compounds. Given their physicochemical properties an industrial application of such compounds can be conceivable. Classical physicochemical properties such as the density, the viscosity and the surface tension have a strong influence on the fluid dynamics, they were therefore measured and determined. RESULTS The density, viscosity and surface tension of 23 hydrophobic IL at room temperature were measured. These compounds are potential candidates for the absorption and biodegradation of Volatile Organic Compounds in a two-phase partitioning bioreactor. The thermal expansion coefficient, molecular volume, standard molar entropy and lattice energy were determined for each IL using empirical and semi-empirical equations based on the density values. Viscosity values were correlated by the Arrhenius equation. Then, the surface excess enthalpy and surface excess entropy were determined from the surface tension values. CONCLUSION The influence of the presence of different functional moieties (unsaturated bonding, oxygenated and cyanide) and the side chain length in the physicochemical properties of these hydrophobic IL was discussed, since their presence affected directly the density, viscosity and surface tension.

Journal ArticleDOI
TL;DR: In this paper, the enthalpies, entropies and Gibbs energies of Cs3Na(MoO4)2 from its constituting binary and ternary oxides have been calculated.

Journal ArticleDOI
TL;DR: In this article, the authors measured the heat capacity of anatase and rutile with a Quantum Design Physical Property Measurement System (PPMS) over a temperature range from 1.9 to 302 K.

Journal ArticleDOI
TL;DR: In this article, a linear combination of Einstein functions was applied to approximate obtained data on the heat capacity of (NH4) 2Mg(SO4)2·6H2O (CAS: 7785-18-4) was measured by low-temperature vacuum adiabatic calorimetry in the temperature range from 8 to 320

Journal ArticleDOI
28 Sep 2018-Entropy
TL;DR: In this article, Clausius inequality of open systems can be derived by use of the defining inequalities which establish the non-equilibrium quantities contact temperature and nonequilibrium molar entropy which allow to describe the interaction between the Schottky system and its controlling equilibrium environment.
Abstract: Meixner’s historical remark in 1969 “ it can be shown that the concept of entropy in the absence of equilibrium is in fact not only questionable but that it cannot even be defined” is investigated from today’s insight Several statements—such as the three laws of phenomenological thermodynamics, the embedding theorem and the adiabatical uniqueness—are used to get rid of non-equilibrium entropy as a primitive concept In this framework, Clausius inequality of open systems can be derived by use of the defining inequalities which establish the non-equilibrium quantities contact temperature and non-equilibrium molar entropy which allow to describe the interaction between the Schottky system and its controlling equilibrium environment

Journal ArticleDOI
TL;DR: The infrared spectra data of the ILs showed a red shift of the C-H bond stretching vibration of the alkyl chain in the cation and the EPR spectra showed that the crystal field of Cu2+ was kept when the chain length was elongated, which indicated the existence of microphase separation in theILs.
Abstract: The physicochemical properties including melting point, density, viscosity, conductivity, and surface tension as well as spectral properties such as infrared and EPR spectra of the chelate-based ILs [Cnmim][Cu(F6-acac)3] (n = 6, 8, 10, 12, 14) were studied as functions of temperature and chain length. The thermodynamic properties such as the standard molar entropy and crystal energy were estimated by Glasser's theory, the molar enthalpy of vaporization was calculated by Kabo's method, and the ionicity was estimated by the Walden rule. Compared with the common ILs, the chelate-based ILs have larger molecular volume, larger density, smaller crystal energy, poorer ionicity and larger enthalpy of vaporization. The infrared spectra data of the ILs showed a red shift of the C-H bond stretching vibration of the alkyl chain in the cation and the EPR spectra showed that the crystal field of Cu2+ was kept when the chain length was elongated, which indicated the existence of microphase separation in the ILs. This work is helpful in understanding the structure-property relations of chelate-based ILs for further application.

Journal ArticleDOI
TL;DR: In this paper, a charge transfer complex of benzhydryl piperazine as donor with the π-acceptor 2,3-dichloro-5,6-dicyano-p-benzoquinone has been studied spectrophotometrically in acetonitrile medium at different temperatures.
Abstract: The charge transfer complex of benzhydryl piperazine as donor with the π-acceptor 2,3-dichloro-5,6-dicyano-p-benzoquinone has been studied spectrophotometrically in acetonitrile medium at different temperatures. On mixing the donor with acceptor, a reddish brown colored charge transfer complex is formed. Electronic absorption spectra of the complex show charge transfer bands at 587, 546 and 457 nm. The molecular composition of the complex was studied by applying Job’s continuous variation and spectrophotometric titration methods. These results support the formation of the complex in a 1:2 ratio. The Benesi–Hildebrand equation has been applied to compute the formation constant and molecular extinction coefficient. Thermodynamic parameters of the charge transfer complexation reaction (standard entropy, standard enthalpy and standard Gibbs free energy) have been calculated. The results of the spectrophotometric study demonstrated that the charge transfer complex formation is endothermic. The computational studies of the charge transfer complex were performed by using the Gaussian 09 W package of programs. The bond lengths, bond angles, dihedral angles, Mulliken atomic charges, molecular electrostatic potential maps and characterization of the highest occupied molecular orbital and lowest unoccupied molecular orbital surfaces of charge transfer complex were computed.

Journal ArticleDOI
28 Dec 2018
TL;DR: In this paper, the adsorption of safranin-O dye was performed in batch and continuous column sysytems by polyurethane-type rigid foam produced from peanut shell.
Abstract: The adsorption of safranin-O dye was performed in batch and continuous column sysytems by polyurethane-type rigid foam produced from peanut shell. In batch system, effects of contact time, initial dye concentration, solution pH and temperature on the adsorption were investigated. In column system, solution flow rate and initial dye concentration effect were studied. Under conditions studied, the adsorption of safranin-O was 95-99% for batch system, and 93-99% for column system. Adsorption isotherm best followed the Langmuir model ( R 2 = 0.986). Adsorption kinetics was in consistent with best the pseudo-second order model ( R 2 values ≥ 0.998). Adsorption was of sponteneous nature and in favor of increasing temperature (i.e. endothermic nature). For example, when the temperature was increased from 20 to 60 ° C, standard Gibbs free energy change ( ΔG ° ) dereased regularitly from -5303 to -8170 J mol -1 . The values of standard enthalpy (Δ H ° ) and standard entropy (Δ S ° ) were estimated as 13.35 kJ mol -1 and 0.64 kJ mol -1 K -1 , respectively. Moreover, FTIR and SEM analyses were done, and the results were interpreated in detail.

Journal ArticleDOI
TL;DR: Clausius inequality of open systems can be derived by use of the defining inequalities which establish the non-equilibrium quantities contact temperature and non-Equilibrium molar entropy which allow to describe the interaction between the Schottky system and its controlling equilibrium environment.
Abstract: Meixner's historical remark in 1969 "... it can be shown that the concept of entropy in the absence of equilibrium is in fact not only questionable but that it cannot even be defined...." is investigated from today's insight. Several statements --such as the three laws of phenomenological thermodynamics, the embedding theorem and the adiabatical uniqueness-- are used to get rid of non-equilibrium entropy as a primitive concept. In this framework, Clausius inequality of open systems can be derived by use of the defining inequalities which establish the non-equilibrium quantities contact temperature and non-equilibrium molar entropy which allow to describe the interaction between the Schottky system and its controlling equilibrium environment.

Journal ArticleDOI
TL;DR: In this paper, a comparative analysis of various possible synthesis routes of diethyl carbonates (DEC), a benign organic carbonate, was carried out and the comparative analysis was performed using Gibbs free energy of the system.
Abstract: In this study, thermodynamic analysis of various possible synthesis routes of diethyl carbonates (DEC), a benign organic carbonate, was carried out and a comparative analysis was performed. Chemical equilibrium constants at standard conditions were calculated using Gibbs free energy of the system. The Benson group contribution method was used to estimate standard heat of formation and standard entropy change of some raw materials/components like dimethyl carbonate. Variation of heat capacity (Cp) with temperature was estimated for different components from the Rozicka-Domalski model. Variation of chemical equilibrium constants with temperature and pressure was studied for various routes. Synthesis of DEC from ethylene carbonate (EC) was also found to be better considering equilibrium constants at room temperature. The CO2 route was found to be the most unfavourable route for DEC synthesis due to stability of CO2 molecules. Moreover, DEC synthesis through the urea route was found to be best at high temperatures since the equilibrium constants were found to increase exponentially. Experiments were conducted for DEC synthesis using the EC route at two temperatures. Activity coefficients were calculated using the UNIFAC model. Experimentally and theoretically determined chemical equilibrium constant values were found to be similar. PRO/II was also used to minimize Gibbs free energy of the system and estimate the equilibrium constants and the results were comparable with those obtained by the equilibrium constant method and the trend was found to be the same for both the methods.

Journal ArticleDOI
TL;DR: In this paper, the temperature dependence of the heat capacity of tetraphenylantimony (1-adamantanecarboxylate) was determined in the range 5.6-456 k.
Abstract: In the present work for the first time, the temperature dependence of the heat capacity $$C_{\text{p}}^{\text{o}}$$ = f(T) of tetraphenylantimony (1-adamantanecarboxylate) was determined in the range 5.6–456 K by methods adiabatic vacuum calorimetry and differential scanning calorimetry. The compound fuses in the range 414–446 K without decomposition, and thermodynamic characteristics of fusion were defined and analyzed. Multifractal treatment of low-temperature heat capacity was made as a result topological structure of the compound was established. The complex of standard thermodynamic functions (enthalpy, entropy, the Gibbs energy) was given for crystal and liquid states in the range from T → 0 to 456 K. Also, standard entropy of formation of a substance in the crystalline state at T = 298.15 K was calculated. Comparison of thermodynamic properties was made for the derivatives of antimony studied in the present work and earlier.

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the aggregation behavior of two imidazolium-based surface active ionic liquids (SAILs) in aqueous solutions in presence of varying amount of poly(ethylene oxide) (PEO) to explore the possible SAIL-PEO interactions.

Journal ArticleDOI
TL;DR: In this paper, the EMF measurements allowed the partial molar functions of the Ag2Se-Tl 2Se-Se subsystem to be calculated using the solid-phase equilibria diagram, the potential-forming reactions were defined and the standard thermodynamic functions of formation and standard entropy values of the ternary compounds were calculated.
Abstract: The Ag-Tl-Se ternary system in the composition region Ag2Se-Tl2Se-Se was studied in the temperature range 300–450 K by measuring the electromotive force (EMF) in a concentration cell containing a silver electrode and Ag4RbI5 as a solid electrolyte. A previously constructed solid-phase equilibria diagram of this system that included the ternary compounds AgTlSe, Ag3TlSe2, and Ag7TlSe4 was confirmed. The EMF measurements allowed the partial molar functions $$ \left(\Delta \overline{G},\Delta \overline{H},\Delta \overline{S}\right) $$ of silver in some phase regions of the Ag2Se-Tl2Se-Se subsystem to be calculated. Using the solid-phase equilibria diagram, the potential-forming reactions were defined and the standard thermodynamic functions of formation and the standard entropy values of the ternary compounds mentioned above were calculated. Besides experimental results, data reported in the literature for thermodynamic functions of TlSe as well as the standard entropy values of silver and selenium were used in the calculations. The results of the calculations were compared with relevant data in the literature. The results confirmed that it is possible to study the thermodynamics of silver-containing complex systems using this modified EMF method, even if the system contains a more electropositive component than silver.

Journal ArticleDOI
12 Jul 2018-Entropy
TL;DR: The standard entropies S298°E of deep eutectic solvents (DESs), which are liquid binary mixtures of a hydrogen bond acceptor component and a hydrogen bod donor one, are calculated from their molecular volumes, derived from their densities or crystal structures to obtain the standardEntropies of DES formation ΔfS.
Abstract: The standard entropies S298°E of deep eutectic solvents (DESs), which are liquid binary mixtures of a hydrogen bond acceptor component and a hydrogen bod donor one, are calculated from their molecular volumes, derived from their densities or crystal structures. These values are compared with those of the components—pro-rated according to the DES composition—to obtain the standard entropies of DES formation ΔfS. These quantities are positive, due to the increased number and kinds of hydrogen bonds present in the DESs relative to those in the components. The ΔfS values are also compared with the freezing point depressions of the DESs ΔfusT/K, but no general conclusions on their mutual relationship could be drawn.

Journal ArticleDOI
TL;DR: In this paper, the synthesis of five new Bronsted acidic ionic liquids (BAILs) bearing same anion (camphorsulfonate) but different cations; 3-(3-sulfopropyl)-imidazolium, 1-methyl-3-(4-Sulfobutyl)-IMIDZolium and 1-ethyl-3(3)-SLSI-IMIDAZolium were synthesized and characterized using NMR, FTIR and elemental analysis.