Heat capacity and other thermodynamic properties of Na 2 SO 4 (aq) in hydrothermal solutions and the solubilities of sodium sulfate minerals in the system Na-Cl-SO 4 -OH-H 2 O to 300°C

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Heat capacities of Na 2 SO 4 (aq) solutions have been measured from 140°-300°C at 200 bars using a flowcalorimeter over the molality range of 0.05-1.5 mol·kg -1 . Using the ion-interaction or virial coefficient approach developed by (1973, 1979, 1987) and coworkers, and approximating the pressure-dependencies of the various Na 2 SO 4 (aq) thermodynamic quantities with those of NaCl(aq) calculated from the equations of and (1982), our measured heat capacities were combined with literature values on heat capacities, enthalpies, and osmotic coefficients at temperatures to 225°C and at pressures mostly at 1 bar or vapor-saturation pressure to yield a comprehensive set of equations for the thermodynamic properties of Na 2 SO 4 (aq) at temperatures 25°-300°C, pressure to at least 200 bars, and molalities to 3.0 mol·kg -1 . Standard state chemical potentials and activity and osmotic coefficients of Na 2 SO 4 (aq) derived from our model, together with standard state properties of the solids available in the literature, permit the calculation of sodium sulfate solubilities in water and in electrolyte mixtures to 300°C. Good agreement between experimental and predicted solubilities in water indicate that the ion-interaction model can be used successfully to predict mineral-solution equilibria to 300°C without an explicit accounting for ion-pairs, and demonstrates that heat capacity measurements can be used to obtain reliable high-temperature and high-pressure activity properties of electrolyte solutions. The binary and ternary mixing parameters ü and ük are required by the ion-interaction model for calculations for multicomponent mixtures. It was found sufficient to adopt previously determined values for ü at 25°C without temperature dependence and, from the solubility data, to determine temperature-dependent ük functions.

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