Abstract
The phosphate-enrichment behavior has experimentally been investigated in CaO-SiO2-FeO-Fe2O3-P2O5 steelmaking slags. The reaction ability of structural units in the slags has been represented the mass action concentration \( N_{i} \) from the developed ion and molecule coexistence theory (IMCT)-\( N_{i} \) model based on the IMCT. The defined enrichment possibility \( N_{{{\text{c}}i{\text{ {-}c}}j}} \) and enrichment degree \( R_{{{\text{c}}i{\text{{-}c}}j}} \) of solid solutions containing P2O5 from the developed IMCT-\( N_{i} \) model have been verified from the experimental results. The effects of binary basicity, the mass percentage ratio \( {{ ( {\text{pct Fe}}_{t} {\text{O)}}} \mathord{\left/ {\vphantom {{ ( {\text{pct Fe}}_{t} {\text{O)}}} { ( {\text{pct CaO)}}}}} \right. \kern-0pt} { ( {\text{pct CaO)}}}} \), and mass percentage of P2O5 in the initial slags on phosphate-enrichment behavior in the slags has also been discussed. The results show that the P2O5 component can easily be bonded by CaO to form tricalcium phosphate 3 CaO·P2O5, and the formed 3CaO·P2O5 can react with the produced dicalcium silicate 2CaO·SiO2 to generate solid-solution 2CaO·SiO2-3CaO·P2O5 under fixed cooling conditions. The maximum value of the defined enrichment degree \( R_{{{\text{C}}_{ 2} {\text{S{-}}} {\text{C}}_{ 3} {\text{P}}}} \) of solid-solution 2CaO·SiO2-3CaO·P2O5 is obtained as 0.844 under conditions of binary basicity as 2.5 and the mass percentage ratio \( {{ ( {\text{pct Fe}}_{t} {\text{O)}}} \mathord{\left/ {\vphantom {{ ( {\text{pct Fe}}_{t} {\text{O)}}} { ( {\text{pct CaO)}}}}} \right. \kern-0pt} { ( {\text{pct CaO)}}}} \) as 0.955 at fixed cooling conditions.
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Abbreviations
- \( a_{{{\text{R,}}i}} \) :
-
Activity of components i in slags relative to pure solid or liquid component i as standard state with mole fraction \( x_{i} \) as concentration unit and following the Raoult’s law, i.e., \( a_{{{\text{R,}}i}} = x_{i} \gamma_{i} \), (−)
- \( b_{i} \) :
-
Mole number of component i in 100-g slags before reaction equilibrium, having the same meaning with \( n_{i}^{0} \), (mol)
- \( \Delta_{\text{r}} G_{{{\text{m, }}i}}^{\Theta } \) :
-
Standard molar Gibbs free energy change of reaction for forming component i or structural unit i, (J/mol)
- \( K_{i}^{\Theta } \) :
-
Standard equilibrium constant of chemical reaction for forming component i or structural unit i, (−)
- M i :
-
Relative atomic mass of element i or relative molecular mass of component i, (−)
- \( n_{i} \) :
-
Equilibrium mole number of structural unit i or ion couple i in 100-g slags based on the IMCT, (mol)
- \( \Sigma n_{i} \) :
-
Total equilibrium mole number of all structural units in 100-g slags based on the IMCT, (mol)
- \( N_{i} \) :
-
Mass action concentration of structural unit i or ion couple i in slags based on the IMCT, (−)
- \( N_{{{\text{c}}i {\text{{-}c}}j}} \) :
-
Defined enrichment possibility of solid solution containing P2O5 based on the calculated mass action concentration \( N_{i} \) of complex molecule ci and cj, (−)
- R :
-
Gas constant, (8.314 J/(mol·K))
- \( R_{{{\text{c}}i {\text{{-}c}}j}} \) :
-
Defined enrichment degree of solid solution containing P2O5, (−)
- \( R_{\text{P}} \) :
-
Determined enrichment ratio \( R_{\text{P}} \) of phosphorus, (−)
- T :
-
Absolute temperature, (K)
- (pct i):
-
Mass percentage of component i in slags, (−)
- (i):
-
Species i in slag phase, (−)
- \( \gamma_{i} \) :
-
Activity coefficient of component i in slags related with activity \( a_{{{\text{R,}}i}} \), (−)
- ci :
-
Molecule ci or compound ci or compound i of calcium silicates, (−)
- cj :
-
Molecule cj or compound cj or compound j containing P2O5, (−)
References
H. Ono, A. Inagaki, T. Masui, H. Narita, T. Mitsuo, S. Nosaka, and S. Gohda: Tetsu-to-Hagané, 1980, vol. 66, no. 9, pp. 1317-23.
K. Morita, M.X. Guo, N. Oka, and N. Sano: J. Mater. Cycles Waste Manag., 2002, vol. 4, no. 2, pp. 93-101.
S. Takeuchi, N. Sano, and Y. Matsushita: Tetsu-to-Hagané, 1980, vol. 66, no. 14, pp. 2050-7.
Z.T. Sui and P.X. Zhang: ACTA Metall. Sin, 1997, vol. 33, no. 9, pp. 943-51.
X.R. Wu, L.S. Li, and Y.C. Dong: ISIJ Int., 2007, vol. 47, no. 3, pp. 402-7.
L. Zhang, L.N. Zhang, M.Y. Wang, G.Q. Li, and Z.T. Sui: ISIJ Int., 2006, vol. 46, no. 3, pp. 458-65.
W. Fix, H. Heyman, and R. Heinke: J. Am. Ceram. Soc., 1969, vol. 52, no. 6, pp. 346-47.
K. Ito, M. Yanagisawa, and N. Sano: Tetsu-to-Hagané, 1982, vol. 68, no. 2, pp. 342-4.
R. Inoue and H Suito: ISIJ Int., 2006, vol. 46, no. 2, pp. 174-9.
H Suito and R. Inoue: ISIJ Int., 2006, vol. 46, no. 2, pp. 180-7.
R. Inoue and H Suito: ISIJ Int., 2006, vol. 46, no. 2, pp. 188-94.
T. Hamano, S. Fukagai, and F. Tsukihashi: ISIJ Int., 2006, vol. 46, no. 4, pp. 490-5.
S. Fukagai, T. Hamano, and F. Tsukihashi: ISIJ Int., 2007, vol. 47, no. 1, pp. 187-9.
X. Yang, H. Matsuura, and F Tsukihashi: ISIJ Int., 2009, vol. 49, no. 4, pp. 1298-307.
X. Yang, H. Matsuura, and F. Tsukihashi: Tetsu-to-Hagané, 2009, vol. 95, no. 3, pp. 268-74.
X. Yang, H. Matsuura, and F. Tsukihashi: ISIJ Int., 2010, vol. 50, no. 5, pp. 702-11.
F. Pahlevani, S. Kitamura, H. Shibata, and N. Maruoka: ISIJ Int., 2010, vol. 50, no. 6, pp. 822-9.
H. Kubo, K. Matsubae-yokoyama, and T. Nagasaka: ISIJ Int., 2010, vol. 50, no. 1, pp. 59-64.
K. Matsubae-Yokoyama, H. Kubo, and T. Nagasaka: ISIJ Int., 2010, vol. 50, no. 1, pp. 65-70.
X.M. Yang, M. Zhang, J.L. Zhang, P.C. Li, J.Y. Li, and J. Zhang: Steel Res. Int., 2014, vol. 85, no. 3, pp. 347-75.
J. Björkvall, D. Sichen, and S. Seetharaman: High Temp. Mater. Processes, 1999, vol. 18, no. 4, pp. 253-68.
S. Basu, A. Lahiri, and S. Seetharaman: Metall. Mater. Trans. B, 2008, vol. 39B, no. 3, pp. 447-56.
J. Bygdén, D. Sichen, and S. Seetharaman: Steel Res., 1994, vol. 65, no. 10, pp. 421-8.
P. Fredriksson and S. Seetharaman: Steel Res. Int., 2004, vol. 75, no. 4, pp. 240-6.
P. Fredriksson and S. Seetharaman: Steel Res. Int., 2004, vol. 75, no. 6, pp. 357-65.
J. Björkvall, D. Sichen, V. Stolyarova, and S. Seetharaman: Glass Phys. Chem., 2001, vol. 27, no. 2, pp. 132-47.
C. Borgianni and P. Granati: Metall. Trans. B, 1977, vol. 8, no. 1, pp. 147-51.
J.D. Sommerville, I. Ivanchev, and H.B. Bell: Proc. Int. Symp. on Metallurgical Chemistry—Applications in Ferrous Metallurgy, The Iron and Steel Institute, London, U.K., 1973, pp. 23–25.
G. Ottonello: J. Non-Cryst. Solids, 2001, vol. 282, no. 1, pp. 72-85.
D.P. Tao: Metall. Mater. Trans. B, 2006, vol. 37B, no. 6, pp. 1091-7.
L. Zhang, S. Sun, and S. Jahanshahi: J. Phase Equilib. Diff., 2007, vol. 28, no. 1, pp. 121-9.
M. Modigell, A. Traebert, P. Monheim, S. Petersen, and U. Pickartz: Comput. Chem. Eng., 2001, vol. 25, nos. 4-6, pp. 723-7.
M.L. Kapoor and M.G. Frohberg: Theoretical Treatment of Activities in Silicate Melts, Chemical Metallurgy of Iron and Steel, The Iron and Steel Institute, London, U.K., 1971, pp. 17-22.
A.T. Dinsdale, J.A. Gisby, T.I. Barry, A. Gibbon, and A.L. Davies: Proceedings of ‘Pyrometallurgy ‘95’, The Institute of Mining and Metallurgy, Cambridge, U.K., 1995.
C. Chen and S. Jahanshah: Metall. Mater. Trans. B, 2010, vol. 41B, no. 6, pp. 1166-74.
A.D. Pelton, S.A. Degterov, G. Eriksson, C. Robelin, and Y. Dessureault: Metall. Mater. Trans. B, 2000, vol. 31B, no. 4, pp. 651-9.
A.D. Pelton and P. Chartrand: Metall. Mater. Trans. A, 2001, vol. 32A, no. 6, pp. 1355-60.
P. Chartrand and A.D. Pelton: Metall. Mater. Trans. A, 2001, vol. 32A, no. 6, pp. 1397-407.
A. Pelton, P. Chartrand, and G. Eriksson: Metall. Mater. Trans. A, 2001, vol. 32A, no. 6, pp. 1409-16
Y.B. Kang and A.D. Pelton: Metall. Mater. Trans. B, 2009, vol. 40B, no. 6, pp. 979-94
I.H. Jung, Y.B. Kang, S.A. Decterov, and A.D. Pelton: Metall. Mater. Trans. B, 2004, vol. 35B, no. 2, pp. 259-68.
G Eriksson and A.D. Pelton: Metall. Trans. B, 1993, vol. 24, no. 5, pp. 795-805.
A. Kondratiev and E. Jak: Metall. Mater. Trans. B, 2005, vol. 36B, no. 5, pp. 623-38.
A.D. Pelton and M. Blander: in Second International Symposium on Metallurgical Slags and Fluxes, TMS-AIME, Lake Tahoe, NV, 1984.
S. Ban-ya: ISIJ Int., 1993, vol. 33, no. 2, pp. 2-11.
B. Hallstedt, M. Hillert, M. Selleby, and B. Sundman: CALPHAD, 1994, vol. 18, no. 1, pp. 31-7.
E. Tijskens, W.A. Viaene, and P. Geerlings: Phys. Chem. Miner., 1995, vol. 22, no. 3, pp. 186-99.
L.C. Oertel and A. Costa e Silva:CALPHAD, 1999, vol. 23(3–4), pp. 379–91.
X.M. Yang, J.P. Duan, C.B. Shi, M. Zhang, Y.L Zhang, and J.C. Wang: A Metall. Mater. Trans. B, 2011, vol. 42B, no. 4, pp. 738-70.
X.M. Yang, C.B. Shi, M. Zhang, J.P. Duan, and J. Zhang: Metall. Mater. Trans. B, 2011, vol. 42B, no. 5, pp. 951-76.
X.M. Yang, C.B. Shi, M. Zhang, and J. Zhang: Steel Res. Int., 2012, vol. 83, no. 3, pp. 244-58.
J. Zhang: Computational Thermodynamics of Metallurgical Melts and Solutions, Metallurgical Industry Press, Beijing, China, 2007.
Verein Deutscher Eisenhüttenleute: Slag Atlas, 2nd ed., Woodhead Publishing Limited, Cambridge, U.K., 1995.
J.X. Chen: Handbook of Common Figures, Tables and Data for Steelmaking, Metallurgical Industry Press, Beijing, China, 1984.
C. Nassaralla and R.J. Fruehan: Metall. Trans. B, 1992, vol. 23B, no. 2, pp. 117-23.
M. Timucin and A. Muan: J. Am. Ceram. Soc., 1992, vol. 75, no. 6, pp. 1399-406.
I. Barin, O. Knacke, and O. Kubaschewski: Thermochemical Properties of Inorganic Substances, Supplement. Springer, New York, NY, 1977, p. 392.
E.T. Turkdogan. Physical Chemistry of High Temperature Technology, Academic Press, New York, NY, 1980, pp. 8-12.
K. Narita and K. Shinji: Kobe Steel Eng. Reports, 1969, vol. 19, pp. 25-42.
The Japan Society for the Promotion of Science: The 19th Committee on Steelmaking. Steelmaking Data Sourcebook, Gordon and Breach Science Publishers, New York, NY, 1988.
H. Suito, A. Ishizaka, R. Inoue, and Y. Takahashi: Tetsu-to-Hagané, 1979, vol. 65, no. 13, pp. 1848-57.
E.T. Turkdogan: ISIJ Int., 2000, vol. 40, no. 10, pp. 964-70.
R. Nagabayashi, M. Hino, and S. Ban-ya: Tetsu-to-Hagané, 1988, vol. 74, no. 9, pp. 1770-7.
Acknowledgments
The work was financially supported by the National Natural Science Foundation of China (Nos. 51372019, 51174186, 51072022, and 50874013) and the National Basic Research Program of China (No. 2014CB643401).
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Li, Jy., Zhang, M., Guo, M. et al. Enrichment Mechanism of Phosphate in CaO-SiO2-FeO-Fe2O3-P2O5 Steelmaking Slags. Metall Mater Trans B 45, 1666–1682 (2014). https://doi.org/10.1007/s11663-014-0085-0
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DOI: https://doi.org/10.1007/s11663-014-0085-0