Study of bromide salts solubility in the ( m 1NaBr + m 2MgBr 2)(aq) system at T = 323.15 K. Thermodynamic model of solution behavior and (solid + liquid) equilibria in the (Na + K + Mg + Br + H 2O) system to high concentration and temperature

► We determined bromide minerals solubility in the mixed system ( m 1NaBr + m 2MgBr 2)(aq) at T = 323.15 K. ► We construct a T-variable equilibrium model for ( m 1NaBr + m 2MgBr 2)(aq) and (Na + K + Mg + Br + H 2O) systems. ► The solubility modeling approach based on Pitzer equations is employed. ► The model gives a good agreement with equilibrium solubility data in ternary and quaternary systems. The bromide minerals solubility in the mixed system ( m 1NaBr + m 2MgBr 2)(aq) have been investigated at T = 323.15 K by the physico-chemical analysis method. The equilibrium crystallization of NaBr·2H 2O(cr), NaBr(cr), and MgBr 2·6H 2O(cr) has been established. The solubility-measurements results obtained have been combined with all other experimental equilibrium solubility data available in literature at T = (273.15 and 298.15) K to construct a chemical model that calculates (solid + liquid) equilibria in the mixed system ( m 1NaBr + m 2MgBr 2)(aq). The solubility modeling approach based on fundamental Pitzer specific interaction equations is employed. The model gives a very good agreement with bromide salts equilibrium solubility data. Temperature extrapolation of the mixed system model provides reasonable mineral solubility at high temperature (up to 100 °C). This model expands the previously published temperature variable sodium–potassium–bromide and potassium–magnesium–bromide models by evaluating sodium–magnesium mixing parameters. The resulting model for quaternary system (Na + K + Mg + Br + H 2O) is validated by comparing solubility predictions with those given in literature, and not used in the parameterization process. Limitations of the mixed solution models due to data insufficiencies at high temperature are discussed.