Calculation of Activity Coefficients of Uni-Univalent Electrolytes by Equations Containing No Adjustable Parameters in Aqueous Solutions at 298.15 K

Normally either the Güntelberg or Davies equation is used to predict activity coefficients of electrolytes in dilute solutions when no better equation is available. The validity of these equations and, additionally, of the parameter-free equations used in the Bates-Guggenheim convention and in the Pitzerformalism for activity coefficients were tested with experimentally determined activity coefficients of HCl, HBr, HI, LiCl, NaCl, KCl, RbCl, CsCl, NH4Cl, LiBr,NaBr and KBr in aqueous solutions at 298.15 K. The experimental activity coefficients of these electrolytes can be usually reproduced within experimental errorby means of a two-parameter equation of the Hückel type. The best Hückel equations were also determined for all electrolytes considered. The data used in the calculations of this study cover almost all reliable galvanic cell results available in the literature for the electrolytes considered. The results of the calculations reveal that the parameter-free activity coefficient equations can only beused for very dilute electrolyte solutions in thermodynamic studies.

Calculation of Activity Coefficients of Electrolytes of Other Charge Types than 1-1 by Equations Containing No Adjustable Parameters in Aqueous Solutions at 25 0C

Normally either the Güntelberg or Davies equation is used to predict activity coefficients of electrolytes in dilute solutions when no betterequation is available. The validity of these equations and, additionally, of the parameter-free equation used in the Bates-Guggenheim convention for activity coefficients were tested with experimentally determined activity coefficients of LaCl3, CaCl2, SrCl2 and BaCl2 in aqueous solutions at 298.15 K. The experimentalactivity coefficients of these electrolytes can be usually reproduced within experimental error by means of a two-parameter equation of the Hückel type. The best Hückel equations were also determined for all electrolytes considered. The data used in the calculations of this study cover almost all reliable galvanic cell results available in the literature for the electrolytes considered. The results of the calculations reveal that the parameter-free activity coefficient equations can only be used for very dilute electrolyte solutions in thermodynamic studies

Freezing Point Depressions of Dilute Solutions of Alkali Metal Chlorides and Bromides

Freezing point depressions (¿Tf) of dilute solutions of several alkali metal chlorides and bromides were calculated by means of the best activity coefficient equations. In the calculations, Hückel, Hamer and Pitzer equationswere used for activity coefficients. The experimental ¿Tf values available in the literature for dilute LiCl, NaCl and KBr solutions can be predicted within experimental error by the Hückel equations used. The experimental ¿Tf values for dilute LiCl and KBr solutions can also be accurately calculated by corresponding Pitzer equations and those for dilute NaCl solutions by the Hamer equation for this salt. Neither Hamer nor Pitzer equations predict accurately the freezing points reported in the literature for LiBr and NaBr solutions. The ¿Tf values available for dilute solutions of RbCl, CsCl or CsBr are not known at the moment accurately because the existing data for these solutions are not precise. The freezing point depressions are tabulated in the present study for LiCl, NaCl and KBr solutions at several rounded molalities. The ¿Tf values in this table can be highly recommended. The activity coefficient equations used in the calculation of these values have been tested with almost allhigh-precision electrochemical data measured at 298.15 K.

Thermodynamic properties of dilute HBr(aq) and HI(aq)

The theory of electrolyte solutions was described by explaining Debye–Hückel theory and deriving the Debye–Hückel equation for the mean activity coefficient. Simple two-parameter Hückel equation was used for the calculation of the activity coefficients of aqueous hydrobromic and hydriodic acids up to 0.5 mol/kg at temperatures from (0 to 60) °C and from (0 to 50) °C, respectively. The parameters were observed to be independent of the temperature. The Hückel equation for the osmotic coefficients of water in the studied solutions was compared to that of Pitzer model by predicting the vapor pressures up to 1 mol/kg at 25 °C. The experimental vapor pressures over the reference electrolyte solutions were calculated with the Pitzer equation for the osmotic coefficients for isopiestic data in this comparison. The simple Hückel model was found to be equally good as the Pitzer model for both hydrobromic and hydriodic acids up to 0.5 mol/kg at 25 °C but applies also to other temperatures studied.

Crystallization of selected anions and cations from mine waters

The aim of this Master’s thesis was to review some methods that are already being utilized in a field of mine water purification and to find and study possible new methods and chemicals for mine water purification by precipitation. The target was also to list the optimal process conditions for these precipitating chemicals. Separation methods were reviewed for several anions and cations, but being a real topical issue, sulphate removal was selected to be in the main focus. Sulphate salts e.g. Na2SO4 are relatively soluble in water, which makes the separation processes difficult. Eutectic freeze crystallization was studied more closely in laboratory tests for sodium sulphate removal. Gravimetric solubility tests were made for three cases of mixed electrolyte solutions: Na2SO4 – NaOH, BaSO4 – NaOH and Na3PO4 – NaOH. The aim of these experiments was to study the effect of NaOH addition on solubility of the studied salt. These phenomena were however noticed to be difficult to see in the used laboratory tests. Thus mathematical modelling was utilized to contribute the laboratory experiments and to bring additional information of the influence of NaOH presence on solubility of selected electrolytes, Na2SO4 and Na3PO4. The results from mathematical modelling of activity coefficients suggest Na2SO4 and Na3PO4 to be precipitated rather with presence and with higher concentrations of NaOH, since the raise of NaOH concentration decreases the solubility of these electrolytes in water.