Abstract
Solubility modeling in the binary system Fe(NO3)3–H2O, Co(NO3)2–H2O and the ternary system Fe(NO3)3–Co(NO3)2–H2O is presented. The extended UNIQUAC model was applied to the thermodynamic assessment of the investigated systems. The model parameters obtained were regressed simultaneously using the available databank but with more experimental points, recently published in the open literature. A revision of previously published parameters for the cobalt ion and new parameters for the iron(III) nitrate system are presented. Based on this set of parameters, the equilibrium constants of hydrates are determined. The model represents the experimental data with good accuracy from the freezing point region to the boiling points of the solutions.
Similar content being viewed by others
Abbreviations
- A D–H :
-
Debye–Hückel parameter (kg1/2·mol−1/2)
- K :
-
Equilibrium constant
- A :
-
Activity
- A, B, C, D and E :
-
Parameters of Eq. 22
- aq:
-
Aqueous
- b :
-
Debye–Hückel parameter (kg1/2·mol−1/2)
- I :
-
Ionic strength based on molality
- m :
-
Molality (mol·kg−1 H2O)
- p :
-
Pressure (kPa)
- q :
-
Surface area
- R :
-
Gas constant (J·mol−1·K−1)
- r :
-
Volume parameter
- T :
-
Temperature (K)
- u, u 0 u t :
-
UNIQUAC interaction parameters
- x :
-
Mole fraction
- \( M_{w} \) :
-
Molecular weight of water (kg·mol−1)
- n :
-
Mole number
- \( \gamma \) :
-
Activity coefficient
- ∞:
-
Infinite dilution
- 0:
-
Standard state
- *:
-
Asymmetrical
- ex:
-
Excess
- i :
-
Index
References
Slick, P.I.: In: Wohlfarth, E.P. (ed.) Ferromagnetic Materials, vol. 2, pp. 189–241. North Holland, New York (1980)
Kulilowski, J., Lesniewski, A.: Properties of Ni–Zn ferrites for magnetic heads: technical possibilities and limitations. J. Magn. Mater. 19, 117–119 (1980)
Brockner, W., Ehrhardt, C., Gjikaj, M.: Thermal decomposition of nickel nitrate hexahydrate, Ni(NO3)2·6H2O in comparison to Co(NO3)2·6H2O and Ca(NO3)2·4H2O. Thermochim. Acta 456, 64–68 (2007)
Iliuta, M., Thomsen, K., Rasmussen, P.: Modeling of heavy metal salt solubility using the extended UNIQUAC model. AIChE J. 48, 2664–2689 (2002)
Thomsen, K., Rasmussen, P., Gani, R.: Correlation and prediction of thermal properties and phase behavior for a class of electrolyte systems. Chem. Eng. Sci. 51, 1787–1802 (1996)
Abrams, D.S., Prausnitz, J.M.: Statistical thermodynamics of liquid mixtures: a new expression for the excess Gibbs energy of partly or completely miscible systems. AIChE J. 21, 116–128 (1975)
Maurer, G., Prausnitz, J.M.: On the derivation and extension of the UNIQUAC equation. Fluid Phase Equilib. 2, 91–99 (1978)
Sander, B., Fredenslund, A., Rasmussen, P.: Calculation of vapour–liquid equilibria in mixed solvent/salt systems using an extended UNIQUAC equation. Chem. Eng. Sci. 41, 1171–1183 (1986)
El Goundali, B., Kaddami, M.: Système ternaire: H2O–Fe(NO3)3–Co(NO3)2: Isotherme: 30°C. C. R. Seances Chim. 9, 1488–1492 (2006)
El Goundali, B., Kaddami, M.: The ternary system: H2O–Fe(NO3)3–Co(NO3)2 isotherms −15 and −25 °C. J. Alloys Compd. 460, 544–548 (2008)
El Goundali, B., Kaddami, M.: The ternary system H2O–Fe(NO3)3–Co(NO3)2 isotherms 0 and 15 °C. Fluid Phase Equil. 260, 295–299 (2007)
http://www.cere.dtu.dk/Expertise/Data-for-aqueous-salt-solutions. Accessed 1 March 2016
Malquori, G.: Il sistema Fe(NO3)3–KNO3–H2O a 25°. Atti Della Reale Accademia Nazionale Dei Lincei 5, 1000–1003 (1927)
Zaslavskii, A., Ravdin, I., Ya, A.: Joint solubility of aluminum, sodium, potassium and iron nitrates in the prescence of aqueous nitric acid. III: The system Al(NO3)3–Fe(NO3)3–H2O. Zh. Obshch. Khim. 7, 1948–1958 (1937)
Jones, H.C., Getman, F.H.: On the nature of concentrated solutions of electrolytes. Hydrates in solution. Am. Chem. J. 31, 303–359 (1904)
Jones, H.C., Getman, F.H., Bassett, H.P., McMaster, L.: Hydrates in Aqueous Solution: Evidence for the Existence of Hydrates in Solution. Their Approximate Composition and Certain Spectroscopic Investigation Bearing upon the Hydrate Problem. Carnegie Institution of Washington (1907)
Robinson, R.A., Wilson, J.M., Aylin, H.S.: The activity coefficients of some bivalent metal nitrates in aqueous solution at 25 °C from isopiestic vapor pressure measurements. J. Am. Chem. Soc. 64, 1469–1471 (1942)
Robinson, R.A., Brown, J.B.: The constitution of cobalt chloride in aqueous solutions. Trans. R. Soc. N. Z. 77, 1–9 (1948)
Sadowska, T., Libuś, W.: Thermodynamic properties and solution equilibria of aqueous bivalent transition metal nitrates and magnesium nitrate. J. Solution Chem. 11, 457–468 (1982)
Goldberg, R.N., Nuttall, R.L., Staples, B.R.: Evaluated activity and osmotic coefficients for aqueous solutions: iron chloride and the bi-univalent compounds of nickel and cobalt. J. Phys. Chem. Ref. Data 8, 924–1003 (1979)
Arrad, M., Kaddami, M., Maous, J., Thomsen, K.: Modeling the binary system Mn(NO3)2–H2O with the extended universal quasichemical (UNIQUAC) model. Fluid Phase Equil. 397, 126–130 (2015)
Druzhinin, I.G., Kondrat’eva, N.G.: The cobalt sulphate–cobalt nitrate–urea water system at 25 °C. Russ. J. Inorg. Chem. 11, 1506–1509 (1966)
Kondrat’eva, N.G., Beskov, S.D.: Solubility in the cobalt nitrate–cobalt sulphate–urea–water system at 40 °C Russ. J. Inorg. Chem. 15, 1558–1560 (1970)
Wilcox, K.W., Bailey, C.: Complex formation amongst the nitrates. Part I. The ternary system copper nitrate–cobalt nitrate–water. J. Chem. Soc. 1927, 150–153 (1927)
Kondrat’eva, N.G., Druzhinin, I.G.: Solubility in the ternary systems of cobalt nitrate or sulfate in aqueous urea solutions at 25 °C. Uch. Zap. Mosk. Obl. Pedagog. Inst. 193, 151–161 (1968)
Funk, R.: Über die Löslichkeit einiger Metallnitrate. Z. Anorg. Chem. 20, 393–418 (1899)
Thomsen, K.: Aqueous electrolytes, model parameters and process simulation. PhD thesis, Technical University of Denmark (1997)
Malquori, G.: The system ferric nitrate–nitric acid–water at 25. Atti della Accademia Nazionale dei Lincei 9, 324–325 (1929)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Arrad, M., Kaddami, M., Goundali, B.E. et al. Solubility Modeling of the Binary Systems Fe(NO3)3–H2O, Co(NO3)2–H2O and the Ternary System Fe(NO3)3–Co(NO3)2–H2O with the Extended Universal Quasichemical (UNIQUAC) Model. J Solution Chem 45, 534–545 (2016). https://doi.org/10.1007/s10953-016-0457-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10953-016-0457-y