Compressibility and volumetric studies of polyethylene-glycols in aqueous,methanolic, and benzene solutions at T = 298.15 K

The speed of sound and density measurements in water, methanol, and benzene solutions for the solutes PEG-400, PEG-1000, and PEG-4000 at T = 298.15 K (0.05 to 0.5 mol · kg⁻¹) are reported. The data obtained are used to calculate thermodynamic parameters such as adiabatic (isentropic) compressibility of solutions (β_ad), apparent molar volume (ϕ_V) and apparent molar compressibility (ϕ_K) for solute molecules in all the solvent media. The limiting partial molar volume $({\varphi }_V^{\circ })$ and limiting partial molar compressibility $({\varphi }_K^{\circ })$ of solute molecules are used to estimate volume of transfer and compressibility of transfer for PEG molecules from methanol to aqueous and benzene to aqueous media. The high observed negative $({\varphi }_K^{\circ })$ values in methanol are interpreted in terms of breakdown of one-dimensional H-bonded structure of methanolic molecules. The (${\varphi }_K^{\circ })$ values observed in water although negative but of small magnitude as compared to salts in water. Attempt is made to estimate hydration number for these molecules in aqueous solutions by applying Shiio’s method and it is observed that PEG-4000 is hydrated most. These results are discussed in terms of solute–solvent and hydrophobic interactions and effects due to conformational characteristic of high molecular weight glycol molecules.     

Thermodynamic and physicochemical properties of binary mixtures of nitromethane with {2-methoxyethanol + 2-butoxyethanol} systems at T = (293.15, 298.15, 303.15, 308.15, and 313.15) K

The density, relative permittivity, viscosity and speed of sound at T = (293.15, 298.15, 303.15, 308.15, and 313.15) K in the binary mixtures of nitromethane with 2-methoxyethanol and 2-butoxyethanol have been measured as a function of composition. From the experimental results, the excess molar volumes V^E, excess Gibbs free energy of activation for viscous flow $(\mathrm{\Delta }{G}^{1E})$, excess isentropic compressibility $({\kappa }_s^E)$ and the deviations in the relative permittivity, viscosity, and speed of sound from a mole fraction average have been calculated. The viscosity data, at T = 298.15 K, were correlated with equations of Hind et al., Grunberg and Nissan, Frenkel, and McAllister. The results are discussed in terms of intermolecular interactions and structure of studied binary mixtures.     

Excess heat capacities of mixtures containing 1-methylpyrrolidin-2-one,chlorotoluenes and benzene

Excess heat capacities, ${(C_P^E)}_{\mathit{ijk}}$ of {1-methylpyrrolidin-2-one (i) + benzene (j) + o- or m- or p-chlorotoluene (k)} and $C_P^E$ of their sub-binary {1-methylpyrrolidin-2-one (i) + benzene (j)}; {benzene (i) + m- or p-chlorotoluene (j)} mixtures have been determined using their measured heat capacities data at T = (293.15, 298.15, 303.15) K and 0.1 MPa using micro differential scanning calorimeter. The results are discussed in terms of Graph (which deals with the topology of the constituent molecules) theory. The results suggest that $C_P^E$ and ${(C_P^E)}_{\mathit{ijk}}$ values commuted by Graph theory compare well with experimental values.     

Physico-chemical properties of some electrolytes in water and aqueous sodiumdodecyl sulfate solutions at different temperatures

The viscosities of some mineral salt viz.; potassium chloride, potassium nitrate, magnesium chloride, magnesium nitrate, at different concentrations have been determined in water and in binary aqueous solution of sodiumdodecyl sulfate (SDS) (0.007 mol · kg⁻¹ and 0.01 mol · kg⁻¹) at different temperatures. The data have been analyzed using Jones–Dole equation and the derivative parameters B and A have been interpreted in terms of ion–solvent and ion–ion interactions respectively. The change of Gibbs free energy of activation $(\mathrm{\Delta }{G}_{\eta }^{\ne })$, enthalpy of activation $(\mathrm{\Delta }{H}_{\eta }^{\ne })$, and entropy of activation $(\mathrm{\Delta }{S}_{\eta }^{\ne })$ for viscous flow of the solutions were calculated using Eyring equation, which depicts the mechanism of viscous flow. The structure making/breaking nature of the studied electrolytes has been discussed in the light of first derivative of B-coefficient (dB/dT) over temperatures. Potassium chloride and potassium nitrate acts as structure breaker in water where as all the salts are structure makers in aqueous SDS solutions, i.e. the postmicellar and pre-micellar regions.     

Partial molar volumes of organic solutes in water. XX. Glycine(aq) and l-alanine(aq) at temperatures (298 to 443) K and at pressures up to 30 MPa

Density data for dilute aqueous solutions of two amino acids (glycine, l-alanine) obtained using a flow vibrating-tube densimeter are presented together with partial molar volumes at infinite dilution (standard molar volumes, $V_{\text{m,}2}^{°}$) calculated from the measured data. The experiments were performed at temperatures from (298 up to 443) K at pressures close to the saturation line of water, at pressures in the range from (15 to 17) MPa, and at 30 MPa. Values of an analogue of isothermal compressibility, ${\kappa }_{T\text{,}2}^{°}=-(1/V_{\text{m,}2}^{°})(?V_{\text{m,}2}^{°}/?p{)}_T$, are also evaluated. Maxima on the curves $V_{\text{m,}2}^{°}(T)$ and ${\kappa }_{T\text{,}2}^{°}(T)$ are observed and discussed. The new data along with literature values of standard molar volumes and heat capacities are used for generating the recommended parameterization of an equation of state for standard molar thermodynamic properties of the aqueous amino acids.     

Permittivity and density of the systems (monoglyme,diglyme, triglyme,or tetraglyme + n-heptane) at several temperatures

Relative permittivity and density on mixing at atmospheric pressure and temperatures from (288.15 to 308.15) K and atmospheric pressure have been measured over the entire composition range of mixing for {CH₃O(CH₂CH₂O)_mCH₃ with m = 1, 2, 3, 4 (also called monoglyme, diglyme, triglyme, or tetraglyme) + n-heptane}. The permittivity values were fitted as a function of the volume fraction and temperature to a logarithmic equation. The excess permittivity is calculated considering a definition that has been recently established in terms of the volume fraction. Excess molar volumes on mixing for the above systems have also been calculated. The density and excess molar volumes were fitted as a function of both mole fraction and temperature to a polynomial equation. The temperature dependence of derived magnitudes, $(?V_{\text{m}}^{\text{E}}/?T{)}_{P\text{,}x}$ and $(?H_{\text{m}}^{\text{E}}/?P{)}_{T\text{,}x}$, was computed, given their importance in the study of specific molecular interactions. The experimental values of permittivity have been compared to those estimated by usual models of literature and the results indicate that the predictions are better when the volume change on mixing is incorporated in calculations. From the values of permittivity and density on mixing the dipole moment for tetraglyme was calculated. The work concludes with an interpretation of the sign of excess permittivity and its behaviour with temperature and that of excess molar volume.     

Phase relations in the system (chromium + rhodium + oxygen) and thermodynamic properties of CrRhO3

Phase relations in the system (chromium + rhodium + oxygen) at T = 1273 K have been determined by examination of equilibrated samples by optical and scanning electron microscopy, powder X-ray diffraction (XRD), and energy dispersive spectroscopy (EDS). Only one ternary oxide, CrRhO₃ with rhombohedral structure ($R\overline{3}$, a = 0.5031, and c = 1.3767 nm) has been identified. Alloys and the intermetallics along the (chromium + rhodium) binary were in equilibrium with Cr₂O₃. The thermodynamic properties of the CrRhO₃ have been determined in the temperature range (900 to 1300) K by using a solid-state electrochemical cell incorporating calcia-stabilized zirconia as the electrolyte. For the reaction,$\begin{array}{cc}\hfill & 1/2{\text{Cr}}_2{\text{O}}_3(\text{solid})+1/2{\text{Rh}}_2{\text{O}}_3(\text{solid})\to {\text{CrRhO}}_3(\text{solid})\text{,}\hfill \\ \hfill & \mathrm{\Delta }{G}^{°}\pm 140/(\text{J}·{\text{mol}}^{-1})=-31967+5.418(T/\text{K})\text{,}\hfill \end{array}$where Cr₂O₃ has the corundum structure and Rh₂O₃ has the orthorhombic structure. Thermodynamic properties of CrRhO₃ at T = 298.15 K have been evaluated. The compound decomposes on heating to a mixture of Cr₂O₃-rich sesquioxide solid solution, Rh, and O₂. The calculated decomposition temperatures are T = 1567 ± 5 K in pure O₂ and T = 1470 ± 5 K in air at a total pressure p^° = 0.1 MPa. The temperature-composition phase diagrams for the system (chromium + rhodium + oxygen) at different partial pressures of oxygen and an oxygen potential diagram at T = 1273 K are calculated from the thermodynamic information.     

Micellization behaviour and thermodynamic parameters of 12-2-12 gemini surfactant in (water + organic solvent) mixtures

The effect of organic solvents on micellization behaviour and thermodynamic parameters of a cationic gemini (dimeric) surfactant, C₁₂H₂₅(CH₃)₂N⁺–(CH₂)₂–N⁺(CH₃)₂C₁₂H₂₅·2Br^?, (12-2-12) was studied in aqueous solutions over the range of T = (293.15 to 323.15) K using the conductometric technique. Ethylene glycol (EG), dimethylsulfoxide (DMSO) and 1,4-dioxan (DO) were used as organic solvents with three different contents. The critical micelle concentration (cmc) and the degree of counter ion dissociation (α) of micelles in the water and in the (water + organic solvent) mixtures including 10%, 20%, and 30% solvent contents were determined. The standard Gibbs free energy $(\mathrm{\Delta }{G}_{\text{m}}^{°})$, enthalpy $(\mathrm{\Delta }{H}_{\text{m}}^{°})$ and entropy $(\mathrm{\Delta }{S}_{\text{m}}^{°})$ of micellization were estimated from the temperature dependence of the cmc values. It was observed that the critical micelle concentration of the gemini surfactant and the degree of counter ion dissociation of the micelle increased as the volume percentage of organic solvent, and temperature increased. The standard Gibbs free energy of micellization was found to be less negative with the increase in the organic solvent content and temperature.     

Standard state thermodynamic properties of aqueous sodium perrhenate using high dilution calorimetry up to 598.15 K

Standard state thermodynamic properties for aqueous sodium perrhenate at temperature in the range of (298.15 to 598.15) K and at p_sat were determined by high dilution solution calorimetry down to 10^?4 m. Standard state partial molar heat capacities, $C_{p\text{,}2}^{°}$, of aqueous sodium perrhenate calculated from present study are compared to literature values up to T = 398.15 K. The differences between $C_{p\text{,}2}^{°}$ of ${\text{ReO}}_4^{-}(\text{aq})$ and Cl^?(aq) at lower temperature is much greater than that due to their internal molecular motions. Consequently, the perrhenate ion appears to have an ionic incomplete primary hydration shell as compared to the chloride ion. The ${\text{ReO}}_4^{-}/{\text{Cl}}^{-}$ difference in thermodynamic functions has now been well defined up to T = 598.15 K for other important high temperature calculations.