Transfer Mechanism of Lanthanum from Rare Earth Containing Iron Ore to Pig Iron during the Blast Furnace Process

Table 4

The relevant expressions of chemical equations, Gibbs free energy, and mass action concentrations of complicated molecules in the molten slag [21–24].

Chemical equations	ΔG (J/mol)	Ni
3(Ca^2+ + O^2−) + (Al2O3) = (3CaO·Al2O3)	−21771.36 − 29.3076T	N7 = K1N1^3N3
12(Ca^2+ + O^2−) + 7(Al2O3) = (12CaO·7Al2O3)	−103240 − 311.1T	N8 = K2N1^12N3^7
(Ca^2+ + O^2−) + (Al2O3) = (CaO·Al2O3)	−23027.4 − 18.8406T	N9 = K3N1N3
(Ca^2+ + O^2−) + 2(Al2O3) = (CaO·2Al2O3)	−16747.2 − 25.54T	N10 = K4N1N3^2
(Ca^2+ + O^2−) + 6(Al2O3) = (CaO·6Al2O3)	−22608.72 − 31.82T	N11 = K5N1N3^6
(Ca^2+ + O^2−) + (SiO2) = (CaO·SiO2)	−81416 − 10.498T	N12 = K6N1N2
3(Ca^2+ + O^2−) + 2(SiO2) = (3CaO·2SiO2)	−236973 + 9.63T	N13 = K7N1^3N2^2
2(Ca^2+ + O^2−) + (SiO2) = (2CaO·SiO2)	−160431 + 4.106T	N14 = K8N1^2N2
3(Ca^2+ + O^2−) + (SiO2) = (3CaO·SiO2)	−93366 − 23.03T	N15 = K9N1^3N2
3(Al2O3) + 2(SiO2) = (3Al2O3·2SiO2)	−4354.27 − 10.467T	N16 = K10N3^3N2^2
2(Mg^2+ + O^2−) + (SiO2) = (2MgO·SiO2)	−86670 + 16.81T	N17 = K11N4^2N2
(Mg^2+ + O^2−) + (SiO2) = (MgO·SiO2)	−30013 − 5.02T	N18 = K12N4N2
(Mg^2+ + O^2−) + (Al2O3) = (MgO·Al2O3)	−35530 − 2.09T	N19 = K13N4N3
(Al2O3) + (2La^2+ + 3O^2−) = (Al2O3·La2O3)	−80799.277 − 16.49T	N20 = K14N3N6^2
11(Al2O3) + (2La^2+ + 3O^2−) = (11Al2O3·La2O3)	−11202.16 − 80.22T	N21 = K15N3^11N6
7(Al2O3) + 33(2La^2+ 3. 3O^2−) = (7Al2O3·33La2O3)	−383764.045 − 251.01T	N22 = K16N3^7N6^33
2(Ca^2+ + O^2−) + (Al2O3) + (SiO2) = (2CaO·Al2O3·SiO2)	−61964.64 − 60.29T	N23 = K17N1^2N3N2
(Ca^2+ + O^2−) + (Al2O3) + 2(SiO2) = (CaO·Al2O3·2SiO2)	−13816.44 − 55.26T	N24 = K18N1N3N2^2
2(Ca^2+ + O^2−) + (Mg^2+ + O^2−) + 2(SiO2) = (2CaO·MgO·2SiO2)	−73688 − 63.69T	N25 = K19N1^2N4N2^2
3(Ca^2+ + O^2−) + (Mg^2+ + O^2−) + 2(SiO2) = (3CaO·MgO·2SiO2)	−315469 + 24.786T	N26 = K20N1^3N4N2^2
(Ca^2+ + O^2−) + (Mg^2++O^2−) + (SiO2) = (CaO·MgO·SiO2)	−124766.6 + 3.376T	N27 = K21N1N4N2
(Ca^2+ + O^2−) + (Mg^2+ + O^2−) + 2(SiO2) = (CaO·MgO·2SiO2)	−80387 − 51.916T	N28 = K22N1N4N2^2
3(Ca^2+ + O^2−) + 3(Al2O3) + (Ca^2+ + 2F^−) = (3CaO·3Al2O3·CaF2)	−44492 − 73.15T	N29 = K23N1^3N3N5
11(Ca^2+ + O^2−) + 7(Al2O3) + (Ca^2+ + 2F^−) = (11CaO·7Al2O3·CaF2)	−228760 − 155.8T	N30 = K24N1^11N3^7N5