Abstract
Alkaline high-level nuclear wastes in the United States contain large inventories of sodium oxalate (Na2C2O4) immersed in Na+-, \( {\text{NO}}_{3}^{ - } \)- and OH−-bearing electrolyte solutions. Dissolution and precipitation of Na2C2O4 will likely influence the treatment of this waste. The Pitzer model has been widely used to model electrolyte solubility during high-level nuclear waste processing. The present study determines the anion–anion (θ) and ternary cation–anion–anion (ψ) Pitzer interaction parameters for oxalate Na2C2O4–NaNO3–H2O and Na2C2O4–NaOH–H2O systems by fitting the Pitzer model with Na2C2O4 solubility data in aqueous NaNO3 and NaOH solutions. The \( {\text{C}}_{2} {\text{O}}_{4}^{2 - } \)–\( {\text{NO}}_{3}^{ - } \) and \( {\text{C}}_{2} {\text{O}}_{4}^{2 - } \)–OH− θ parameters were found to be 0.02369 and −0.005304, respectively. The Na–\( {\text{C}}_{2} {\text{O}}_{4}^{2 - } \)–\( {\text{NO}}_{3}^{ - } \) and Na–\( {\text{C}}_{2} {\text{O}}_{4}^{2 - } \)–OH− ψ parameters were found to be 0.04069 and 0.017044, respectively. The solubility data could be modeled with temperature independent θ and ψ values over the experimental range investigated, which was 20–75 °C for the Na2C2O4–NaNO3–H2O system and 0–50 °C for the Na2C2O4–NaOH–H2O system.
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Sharma, A.K., Clauss, S.A., Mong, G.M., Wahl, K.L., Campbell, J.A.: Analysis and quantification of organic acids in simulated Hanford tank waste and Hanford tank waste. J. Chromatogr. A 805, 101–107 (1998)
Toste, A.P., Lechner-Fish, T.J., Scheele, R.D.: Organics in a Hanford mixed waste revisited: myriad organics and chelator fragments unmasked. J. Radioanal. Nucl. Chem. 296, 523–530 (2013)
Reynolds, J.G., Cooke, G.A., Herting, D.L., Warrant, R.W.: Salt mineralogy of Hanford high-level waste staged for treatment. Ind. Eng. Chem. Res. 52, 9741–9751 (2013)
Toste, A.P.: Degradation of chelating and complexing agents in an irradiated, simulated mixed waste. J. Radioanal. Nucl. Chem. 161, 549–559 (1992)
Toste, A.P.: Gamma radiolysis of EDTA in a simulated, mixed nuclear waste. J. Radioanal. Nucl. Chem. 235, 213–219 (1998)
Toste, A.P.: Detailed study of the γ-radiolysis of nitrilotriacetatic acid in a simulated, mixed nuclear waste. J. Radioanal. Nucl. Chem. 239, 433–439 (1999)
Toste, A.P.: The gamma-radiolysis of HEDTA in a simulated, mixed waste. J. Radioanal. Nucl. Chem. 249, 283–288 (2001)
Toste, A.P., Pilot, T.: Detailed study of HEDTA’s chemodynamics upon gamma-radiolysis in a simulated, mixed waste. J. Radioanal. Nucl. Chem. 277, 5–10 (2008)
Warrant, R.W., Cooke, G.A.: Characterization of the solids waste in the Hanford waste tanks using a combination of XRD, SEM and PLM. Adv. X-Ray Anal. 46, 251–256 (2003)
Reynolds, J.G., Cooke, G.A., Herting, D.L., Warrant, R.W.: Evidence for dawsonite in Hanford high-level nuclear waste tanks. J. Hazard. Mater. 209–210, 186–192 (2012)
McGinnis, C.P., Welch, T.D., Hunt, R.D.: Caustic leaching of high-level radioactive tank sludge: a critical literature review. Sep. Sci. Technol. 34, 1479–1494 (1999)
Russell, R.L., Snow, L.A., Peterson, R.A.: Methods to avoid post-filtration precipitation in treatment of high-level waste. Sep. Sci. Technol. 45, 1814–1821 (2010)
Okemgbo, A.A., Hill, H.H., Metcalf, S.G., Bachelor, M.A.: Determination of nitrate and nitrite in Hanford defense waste by reverse-polarity capillary zone electrophoresis. J. Chromatogr. A 844, 387–394 (1999)
Poirier, M.R., Hay, M.S., Herman, D.T., Crapse, K.P., Thaxton, G.D., Fink, S.D.: Removal of sludge heels in Savannah River site waste tanks with oxalic acid. Sep. Sci. Technol. 45, 1858–1875 (2010)
Rao, V.K., Pius, I.C., Subbarao, M., Chinnusamy, A., Natarajan, P.R.: Precipitation of plutonium oxalate from homogeneous solutions. J. Radional. Nucl. Chem. 100, 129–134 (1986)
Tachimori, S., Nakamura, H.: Extraction of some elements by mixture of DIDPA–TBP and its application to actinoid partitioning process. J. Nucl. Sci. Technol. 19, 326–333 (1982)
Jackson, P.E.: Analysis of oxalate in Bayer liquors: a comparison of ion chromatography and capillary electrophoresis. J. Chromatogr. A 693, 155–161 (1995)
Qafoku, O., Felmy, A.R.: Development of accurate chemical equilibrium models for oxalate species to high ionic strength in the system: Na–Ba–Ca–Mn–Sr–Cl–NO3–PO4–SO4–H2O at 25 °C. J. Solution Chem. 36, 81–95 (2007)
Königsberger, E., Eriksson, G., May, P.M., Hefter, G.: Comprehensive model of synthetic Bayer liquors. Part 1. Overview. Ind. Eng. Chem. Res. 44, 5805–5814 (2005)
Pitzer, K.S.: Ion interaction approach: theory and data correlation. In: Pitzer, K.S. (ed.) Activity Coefficients in Electrolyte Solutions, 2nd edn, pp. 75–153. CRC Press, Boca Raton (1991)
Reynolds, J.G., Carter, R., Felmy, A.R.: A Pitzer interaction model for the NaNO3–NaNO2–NaOH–H2O system from 0 to 100 °C. Ind. Eng. Chem. Res. 54, 3062–3070 (2015)
Carter, R., Pierson, K.L., Reynolds, J.G.: Binary Pitzer model parameters for predicating the solubility of key electrolytes in Hanford waste. In: Proceedings of Waste Management 2014, Waste Management Symposia Inc., Tucson, Arizona (2014)
Weber, C.F.: Thermodynamic Modeling of Savannah River Evaporators. ORNL/TM-2001/102. Oak Ridge National Laboratory, Oak Ridge (2001)
Weber, C.F., Beahm, E.C., Lee, D.D., Watson, J.S.: A solubility model for aqueous solutions containing sodium, fluoride, and phosphate ions. Ind. Eng. Chem. Res. 39, 518–526 (2000)
Weber, C.F.: Calculation of Pitzer parameters at high ionic strength. Ind. Eng. Chem. Res. 39, 4422–4426 (2000)
Riddle, J.D., Lockwood, D.J., Irish, D.E.: Ion pair formation in NaNO3/D2O solutions: Raman and infrared spectra, partial molal volumes, conductance, and viscosity. Can. J. Chem. 50, 2951–2962 (1972)
Harvie, C.E., Greenberg, J.P., Weare, J.H.: A chemical equilibrium algorithm for highly non-ideal multi-phase systems: free energy minimization. Geochim. Cosmochim. Acta 51, 1045–1057 (1987)
Karpov, I.K., Chudnenko, K.V., Kulik, D.A.: Modeling chemical mass transfer in geochemical processes: thermodynamic relations, conditions of equilibria and numerical algorithms. Am. J. Sci. 297, 767–806 (1997)
Zhikharev, M.I., Kol’ba, V.I., Sukhanov, L.P.: The Na2C2O4–NaNO3–H2O system at 20 °C. Russ. J. Inorg. Chem. 24, 469–470 (1979)
Kol’ba, V.I., Zhikharev, M.I., Sukhanov, L.P.: The Na2C2O4–NaNO3–H2O system at 50 and 75 °C. Russ. J. Inorg. Chem 25, 1583–1584 (1980)
Reynolds, J.G.: Application of mixture models to solubility calculations, using sodium oxalate as an example. Sep. Sci. Technol. 43, 2872–2886 (2008)
Norris, W.H.H.: The system oxalic acid–sodium hydroxide–water. J. Chem. Soc. 373, 1708–1715 (1951)
Tromans, A.J.: Solution Chemistry of Some Dicarboxylate Salts of Relevance to the Bayer Process. Ph.D. Dissertation, Murdoch University, Australia (2003)
Buchner, R., Samani, F., May, P.M., Sturm, P., Hefter, G.: Hydration and ion pairing in aqueous sodium oxalate solutions. ChemPhysChem 4, 373–378 (2003)
Singh, R.P.: On the existence of the NaC2O4 − ion pair complex. Bull. Chem. Soc. Jpn. 62, 4089–4091 (1989)
Tromans, A.J., Hefter, G., May, P.M.: Potentiometric investigation of weak association of sodium and oxalate ions in aqueous solution at 25 °C. Aust. J. Chem. 58, 213–217 (2005)
Menczel, B., Apelblat, A., Korin, E.: The molar enthalpies of solution and solubilities of ammonium, sodium and potassium oxalates in water. J. Chem. Thermodyn. 36, 41–44 (2004)
Leaist, D.G., Goldik, J.: Diffusion and ion association in concentrated solutions of aqueous lithium, sodium, and potassium sulfates. J. Solution Chem. 30, 103–118 (2001)
Capewell, S.G., Hefter, G., May, P.M.: Potentiometric investigation of the weak association of sodium and carbonate Ions at 25 °C. J. Solution Chem. 27, 865–877 (1998)
Harvie, C.E., Møller, N., Weare, J.H.: The prediction of mineral solubilities in natural waters: the Na–K–Mg–Ca–H–Cl–SO4–OH–HCO3–CO3–CO2–H2O system to high ionic strength at 25 °C. Geochim. Cosmochim. Acta 48, 723–751 (1984)
Jones, C.Y., Chen, G., Dai, S., Singh, P.M.: Solubility in the NaOH–Na2CO3–Na2SO4–Na2SO3–Na2S–H2O system, a simulated black liquor recovery boiler smelt. Ind. Eng. Chem. Res. 42, 4228–4233 (2003)
Stieger, M., Kiekbusch, J., Nicolai, A.: An improved model incorporating Pitzer’s equations for calculation of thermodynamic properties of pore solutions implemented into an efficient program code. Constr. Build. Mater. 22, 1841–1850 (2008)
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The authors would like to thank Andrew Felmy for extensive review of this model and assistance in software verification.
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Reynolds, J.G., Carter, R. Pitzer Model Anion–Anion and Ternary Interaction Parameters for the Na2C2O4–NaOH–H2O and Na2C2O4–NaNO3–H2O Systems. J Solution Chem 44, 1358–1366 (2015). https://doi.org/10.1007/s10953-015-0351-z
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DOI: https://doi.org/10.1007/s10953-015-0351-z