3.1.1. Raw Material Properties and Batch Calculation
The reduction smelting experiment was conducted using the roasted briquettes of JR. The purpose of this process is to reduce Zn and In, causing them to volatilize and enter the smoke dust while separating them from the slag, and to ensure that Ga enters the pig iron. It is assumed that the slag and iron are completely separated, meaning that Fe and Ga all enter the hot metal and that SiO
2, Al
2O
3, CaO, MgO, and Na
2O from the roasted briquettes all enter the slag phase. In this case, the contents of SiO
2, Al
2O
3, CaO, MgO, and Na
2O in the slag are as follows: SiO
2 = 18.31%, Al
2O
3 = 27.71%, CaO = 1.75%, MgO = 15.61%, and Na
2O = 36.62%, with a basicity of 0.096. The SiO
2—Al
2O
3—Na
2O phase diagram (by using FactSage software 8.0) for the fixed slag, with CaO = 1.75% and MgO = 15.61%, is shown in
Figure 3. It can be seen that the melting point of this slag is approximately 1700 °C, which is too high and exceeds the requirements for conventional electric furnace smelting. Therefore, adjustments to the slag system are necessary to reduce the melting point and viscosity of the slag as much as possible to meet the requirements of conventional electric furnace smelting.
Assuming a reduction smelting test with 100 kg of roasted briquette, the calculation for the charge materials is as follows:
The required carbon amount for reducing iron oxide is calculated based on the reaction: 3C + Fe2O3 = 2Fe + 3CO. The carbon amount required is
The required carbon amount for reducing zinc oxide is calculated based on the reaction: C + ZnO = Zn + CO. The required carbon amount is
The amount of carbon required to reduce 100 kg of roasted briquette is M1 + M2 = 19.48 kg. Assuming a coke utilization rate of 95%, the required amount of coke is = 23.96 kg.
The masses of SiO2, Al2O3, CaO, MgO and Na2O in 100 kg of roasted briquette are as follows:
The typical high furnace slag contains 15% Al
2O
3, 8.0% MgO, and a slag basicity of 1.0–1.1 [
28,
29,
30]. Therefore, the designed slag basicity is 1.1, Al
2O
3 content is 15.0%, MgO content is 8.0%, and the slag composition is 31.55% CaO, 28.62% SiO
2, 15.0% Al
2O
3, 8.0% MgO, and 16.83% Na
2O. According to the CaO-SiO
2-Na
2O-Al
2O
3-MgO five-component slag phase diagram, the melting point of the slag composition is 1450–1500 °C (see point F2 in Figure 14). Therefore, the additional mass of SiO
2, Al
2O
3, CaO, and MgO fluxes added to 100 kg of roasted briquette (considering the SiO
2, Al
2O
3, CaO, and MgO brought in by the coke ash) is as follows: M
SiO2 = 2.76 kg, M
Al2O3 = 0.31 kg, M
CaO = 4.2 kg, M
MgO = 0.11 kg.
Apart from the melting point, viscosity is an important property of slag, which affects whether the smelting process can proceed smoothly and whether the metal can adequately settle and separate through the slag layer [
31]. Therefore, the smelting process requires slag with appropriate viscosity. The liquid phase amount and viscosity of the initial slag during the smelting separation of JR briquettes at 1300–1500 °C under different basicities were calculated using the Equilib and Viscosity modules of the thermodynamic software FactSage 8.0. The Viscosity module in the software applies to fully liquid phases, whereas the initial slag at lower temperatures is not entirely liquid, necessitating correction using the Einstein–Roscoe equation, as shown below [
8]:
where
η—viscosity of the slag, Pa∙S;
η0—viscosity of the slag in a fully liquid phase, Pa∙S;
c—solid phase content, %.
The changes in the liquid phase amount and viscosity of the initial slag during the smelting separation of JR briquettes at 1300–1500 °C under different basicities are shown in
Figure 4. As seen in
Figure 4, with the increase in basicity and temperature, the slag viscosity generally shows a downward trend. Therefore, to achieve suitable fluidity, the temperature and basicity can be appropriately increased.
3.1.2. Thermodynamic Analysis of the Reduction of Roasted JR
The standard Gibbs free energy of a chemical reaction serves as the criterion for determining whether a reaction can proceed. When ΔrGΘm = 0, the reaction reaches equilibrium; when ΔrGΘm < 0, the reaction proceeds in the forward direction; and when ΔrGΘm > 0, the reaction proceeds in the reverse direction. In this study, the calculation of the standard Gibbs free energy for the relevant chemical reactions was performed using the FactSage software.
The roasted product of JR primarily contains hematite and zinc ferrite as the main phases, with the rare metals indium and gallium existing in oxide forms.
Table 4 presents the melting and boiling points of Fe, Zn, In, and gallium oxides and their elemental forms. It can be observed that metallic iron and its oxides have higher melting and boiling points, while Zn, In, and Ga have lower melting points. Zinc is volatile, indium has a relatively low vapor pressure and is difficult to volatilize, and gallium has an extremely low vapor pressure, also making it difficult to volatilize. Through thermodynamic analysis, the possibility of reducing the oxides of iron, zinc, indium, and gallium in the roasted JR is assessed, as well as the forms of the reduction products, to reveal the reduction behavior of each metal oxide during the reduction process of the roasted JR.
(1) Reduction behavior of Fe
The reduction of iron oxides follows the principle of stepwise reduction from higher-valent oxides to lower-valent oxides. In a coal-based direct reduction system, the relationship between the standard Gibbs free energy of the iron oxide reduction reaction and temperature is shown in
Table 5 and
Figure 5.
The relationship between the equilibrium constant of the above reaction and the gaseous equilibrium components is expressed as
Using Equations (R10), the equilibrium gaseous composition of reactions (R5) to (R9) as a function of temperature is calculated and plotted in
Figure 6, alongside the equilibrium composition of the carbon gasification reaction.
As shown in
Figure 6, the equilibrium curve for the reaction between Fe
2O
3 and CO is close to the
x-axis, indicating that the equilibrium CO concentration, φ(CO), is approximately 0. This implies that even trace amounts of CO in the system can reduce Fe
2O
3 to Fe
3O
4. The equilibrium curve of the carbon gasification reaction intersects with the equilibrium curves of the indirect reduction reactions of Fe
3O
4 and FeO at points T
a (683 °C) and T
b (718 °C), respectively. When T < T
a, the CO concentration in the system is lower than the equilibrium CO concentration for the indirect reduction reactions of Fe
3O
4 and FeO, and Fe
3O
4 is the stable phase in the equilibrium system. Within the temperature range T
a < T < T
b, the CO concentration in the system exceeds the equilibrium CO concentration for the indirect reduction reaction of Fe
3O
4, and FeO becomes the stable phase in the equilibrium system. When T > T
b, the CO concentration in the system is higher than the equilibrium CO concentration for the indirect reduction reaction of FeO, and metallic Fe becomes the stable phase in the equilibrium system. Thus, to ensure the reduction of high-valence iron oxides to metallic iron, it is theoretically sufficient to provide an adequate amount of reductant and maintain the reaction system at a temperature above 718 °C.
(2) Reduction behavior of Zn
The melting and boiling points of zinc are 420 °C and 907 °C, respectively, while ZnO has higher melting and boiling points of 1975 °C and 2360 °C. The relationship between the standard Gibbs free energy of the zinc oxide reduction reaction and temperature is shown in
Table 6 and
Figure 7. From the Δ
rG
Θm expression of reaction (R11), it is evident that the reaction can spontaneously occur at a minimum temperature of 348 °C. Within the temperature range of 420–907 °C, if ZnO is reduced to Zn, the metallic zinc will exist in a liquid state, with partial volatilization occurring as zinc vapor. When the reduction temperature exceeds 907 °C, the reduced metallic zinc will exist in a gaseous state.
The relationship between the gaseous equilibrium composition and temperature for the carbon gasification reaction and the various related reduction reactions of zinc ferrite is plotted in
Figure 8.
As shown in
Figure 8, zinc ferrite is difficult to reduce at temperatures below 590 °C. When the reduction temperature exceeds 590 °C, zinc ferrite is reduced to ZnO and FeO, and the reduction process becomes increasingly favorable as the temperature rises. Below 907 °C (the boiling point of zinc), ZnO cannot be reduced by CO. However, at temperatures above 907 °C, ZnO is reduced by CO to form gaseous metallic zinc, and the reduction becomes more favorable with increasing temperature.
(3) Reduction behavior of In
After high-temperature roasting of JR, indium exists in the form of In
2O
3. Given the low indium content in the roasted ore and the fact that carbon can only contact the surface of the briquette during the reduction process, In
2O
3 is mainly reduced through indirect reduction reactions. The relationship between the standard Gibbs free energy of the indium oxide reduction reaction and temperature is shown in
Table 7.
The thermodynamic diagram plotted based on reactions (R14) to (R17) is shown in
Figure 9. Analysis of
Figure 9 indicates that the Gibbs free energy Δ
rG
Θm for reaction (R14) is greater than 0, meaning that this reaction cannot proceed in the forward direction. The minimum temperatures for the spontaneous forward reactions (R15) and (R16) are 1197 °C and 1020 °C, respectively. Therefore, during the reduction process, In
2O
3 is reduced by CO to form In
2O(g) and In(l). Studies have pointed out [
32] that In
2O(g) can volatilize significantly at temperatures above 800 °C, while indium itself has a relatively low vapor pressure and is difficult to volatilize, with a vapor pressure of only 106.66 Pa at 1200 °C. However, it can be easily carried by zinc vapor into the flue gas collection system. The above analysis shows that when the reduction temperature exceeds 907 °C, ZnO is easily reduced to form zinc vapor, which facilitates the volatilization of indium.
The relationship between the partial pressures of In(g) and In
2O(g) and temperature in the In
2O
3 reduction system is expressed in Equations (R18) and (R19) [
33].
Based on Equations (R18) and (R19), the relationship between the partial pressures of In(g) and In
2O(g) with temperature in the In-C-O system is shown in
Figure 10. As depicted in
Figure 10, the partial pressures of In(g) and In
2O(g) gradually increase with rising temperature. When the temperature is below 1256 °C, the partial pressure of In(g) exceeds that of In
2O(g), and the main reduction product of In
2O
3 in the system is In(g). Conversely, at temperatures above 1256 °C, the main reduction product of In
2O
3 shifts to In
2O(g).
Gallium in the roasted jarosite briquette exists in the form of oxides, and during the reduction process, carbon can only contact the surface of the briquette. The reduction of gallium oxides primarily occurs through indirect reduction by CO. The order of reducibility of gallium oxides, from easiest to most difficult, is as follows [
7]: Ga
2O
3 → GaO → Ga
2O → Ga. The relationship between the standard Gibbs free energy of the indium oxide reduction reaction and temperature is shown in
Table 8 and
Figure 11.
Based on the thermodynamic calculations for reactions (R20) to (R24), the relationship between the equilibrium gaseous composition of the carbon gasification reaction and the reduction reaction of gallium oxide with temperature is shown in
Figure 12.
As seen in
Figure 12, the equilibrium curve for the reaction between Ga
2O
3 and CO is close to the 100-axis, indicating that the equilibrium CO concentration, φ(CO), is approximately 100. This means that Ga
2O
3 cannot be reduced by CO to form GaO. The equilibrium curve for the carbon gasification reaction intersects with the indirect reduction reaction curves for the formation of Ga and Ga
2O from Ga
2O
3 at points T
a (1039 °C) and T
b (1110 °C), respectively. The equilibrium curve for the reduction of Ga
2O by CO lies below the equilibrium curve for the carbon gasification reaction, suggesting that Ga
2O can be reduced to Ga.
In conclusion, when T > 1039 °C, gallium oxide is reduced by CO to form liquid metallic gallium, and the reduction reaction becomes increasingly favorable as the temperature rises.
From the thermodynamic analysis of carbon reduction of Fe, Zn, In, and Ga roasted jarosite briquette, it is evident that conducting direct reduction experiments on roasted jarosite briquette can result in the reduction and volatilization of Zn and In, which become concentrated in the flue dust, while Fe and Ga are reduced and concentrated in the pig iron.