Thermodynamic Study of the Corrosion of Refractories by Sodium Carbonate

The corrosion of refractories by sodium salts in waste liquid at high temperature has become a serious problem. This paper focuses on the thermodynamic characterization of sodium carbonate (Na2CO3) corrosion of six refractories by FactSage modelling in combination with X-ray diffraction (XRD). Three of the refractories are oxides (Fe2O3, Al2O3, and Cr2O3), and the other three are synthetics spinels (magnesium chromium, MgO·Cr2O3; magnesioferrite, MgO·Fe2O3; and, magnesium aluminium, MgO·Al2O3). First, thermodynamic simulations were carried out with the FactSage thermodynamics model using the reaction package to predict the direction of the Na2CO3 corrosion reaction in terms of the Gibbs free energy. Then, the reactions between the six refractories and Na2CO3 were conducted through a series of refractories/Na2CO3 reaction tests. The XRD analytical method was used to describe and understand the chemistry and interpret mineral matter transformation. The products of the tests were also determined by X-ray diffraction and the experimental observations were compared with the results of the thermodynamic simulations. Furthermore, the strength of sodium corrosion of the refractory materials was comprehensively discussed. The results show that MgO·Al2O3 has the best thermal stability and it is hard to corrode by Na2CO3, while the chrome-containing refractory reacts easily with Na2CO3 with a considerably high amount of corrosion product at a temperature of 600 °C. These experimental results are in agreement with the thermodynamic calculations.


Introduction
With rapid industrialization, large amounts of waste are generated in production processes in China. The emission of organic waste liquids has risen sharply, which causes serious environmental pollution and harms human health. The incineration technology is an effective and feasible treatment for organic compounds, because chemical waste liquids have a calorific value. This approach can recover and utilize the heat that is contained in high-concentration waste liquid, reduce the treatment cost, as well as burn off harmful substances towards environmental protection.
Refractories are essential for high-temperature resistance equipment and are widely used in the electric power, iron and steel, cement, nonferrous metal smelting, ceramics, chemical, and other industrial fields. There are severe corrosion problems that are associated with refractories in steel refining furnaces [1], coal gasifiers [2,3], rotary kilns for the high-temperature calcination of cement [4], solid waste incinerators [5,6], liquid waste incineration boilers, and other industrial equipment.
reducing the chemical erosion of the refractory. Moreover, the increase in viscosity reduces the permeability and wettability of the refractory material and the formation of the metamorphic layer, thereby reducing the flake refractory material structure. However, in waste liquid boilers, alkali salts can cause severe corrosion in refractories [11]. In addition, refractories are more prone to mechanical damage at high temperature; consequently, the service life of refractory materials might be shortened and great hidden danger and economic losses might occur. Figure 1 shows the corrosion of the refractory material of a sodium salt-containing waste liquid boiler. Hence, it is significant to study the corrosion of refractory materials by sodium salts. A large number of scientists studied the influence of additives on the corrosion resistance of refractories. Some of the researchers found that additive could significantly improve the slag corrosion resistance [12][13][14][15][16]. Presently, new anti-sodium corrosion refractories have been studied by changing the ratio of refractory materials [17][18][19][20]. Weinberg et al. [6] investigated the corrosion of the Al2O3-SiO2 refractories of hazardous waste incinerators by sodium and sulfur vapours and found that the refractories should contain minimal amounts of silica to prevent these corrosion processes.
Many researchers used scanning electron microscopy (SEM), energy dispersive X-ray detection (EDX), and X-ray diffractometry (XRD) to study the erosion of different kind of refractory materials by alkali metal carbonates [21][22][23][24][25][26][27][28]. The corrosion mechanism of refractory materials by sodium salts is studied from the viewpoint of slag and sedimentt; the anti-sodium corrosion performance of different types of refractory materials is compared, and the best material is selected. It was found that MgO-based spinel and Al2O3-based spinel refractories could be more suitable for alkali furnaces than the low-chromium Al2O3-Cr2O3 refractory [29]. Prigent et al. [30] investigated the erosion of siliceous refractories by a variety of corrosive materials, including CaSO4, K2SO4, Na2SO4, KCl, and NaCl, and found that the corrosion products contained albite.
In summary, many researchers have studied the corrosion behaviour and the degree of different refractories by sodium salts. However, alkali-containing organic waste liquids seriously corrode refractories, which causes the refractory material of incinerators to flake off. These problems prompted us to investigate the corrosion mechanism, especially from a thermodynamics perspective, to study the corrosion of refractories by sodium salts.
In this study, thermodynamic equilibrium calculations were performed using the integrated thermodynamic database FactSage to predict the Gibbs free energy of each reaction under different conditions and the possibility and priority of reactions between refractory components and sodium carbonate. A laboratory corrosion test, representative of corrosion in industrial operating conditions, A large number of scientists studied the influence of additives on the corrosion resistance of refractories. Some of the researchers found that additive could significantly improve the slag corrosion resistance [12][13][14][15][16]. Presently, new anti-sodium corrosion refractories have been studied by changing the ratio of refractory materials [17][18][19][20]. Weinberg et al. [6] investigated the corrosion of the Al 2 O 3 -SiO 2 refractories of hazardous waste incinerators by sodium and sulfur vapours and found that the refractories should contain minimal amounts of silica to prevent these corrosion processes.
Many researchers used scanning electron microscopy (SEM), energy dispersive X-ray detection (EDX), and X-ray diffractometry (XRD) to study the erosion of different kind of refractory materials by alkali metal carbonates [21][22][23][24][25][26][27][28]. The corrosion mechanism of refractory materials by sodium salts is studied from the viewpoint of slag and sedimentt; the anti-sodium corrosion performance of different types of refractory materials is compared, and the best material is selected. It was found that MgO-based spinel and Al 2 O 3 -based spinel refractories could be more suitable for alkali furnaces than the low-chromium Al 2 O 3 -Cr 2 O 3 refractory [29]. Prigent et al. [30] investigated the erosion of siliceous refractories by a variety of corrosive materials, including CaSO 4 , K 2 SO 4 , Na 2 SO 4 , KCl, and NaCl, and found that the corrosion products contained albite.
In summary, many researchers have studied the corrosion behaviour and the degree of different refractories by sodium salts. However, alkali-containing organic waste liquids seriously corrode refractories, which causes the refractory material of incinerators to flake off. These problems prompted us to investigate the corrosion mechanism, especially from a thermodynamics perspective, to study the corrosion of refractories by sodium salts.
In this study, thermodynamic equilibrium calculations were performed using the integrated thermodynamic database FactSage to predict the Gibbs free energy of each reaction under different conditions and the possibility and priority of reactions between refractory components and sodium carbonate. A laboratory corrosion test, representative of corrosion in industrial operating conditions, was carried out to assess the characteristics of the different refractory materials that were subjected to corrosion by sodium carbonate. A comparison between the experimental and thermochemical calculation results provided insight into the direction and limit of the reactions in the multi-reaction system and on the influence of the reaction conditions on the corrosion process. Our objectives were to describe the thermodynamic mechanism by which sodium carbonate reacts with the mineralogical phases of the refractory minerals. The acquired knowledge can provide theoretical guidance to predictably control the corrosion of refractory materials.

Refractory Materials Preparation and Characterization
In the investigations, six commercially available oxides and spinel refractory materials (numbered 1-6) were tested to study their corrosion by Na 2 CO 3 . The three oxide refractory samples are (1)  The three spinel refractories that were selected in this paper are commercially and commonly used refractories, which were synthesized in the laboratory. MgO (analytical purity) and Cr 2 O 3 (analytical purity) were used as raw materials to synthesize sample 4. The MgO·Cr 2 O 3 spinel was obtained by mixing Cr 2 O 3 and MgO at a molar ratio of 1 and placing the mixture in a high-temperature tube furnace at 1500 • C for 4 h (Figure 2, Section 2.2 provides a detailed description). Sample 5 and sample 6 were prepared in the same manner. The XRD analysis and calculated RIR values reveal that the main mineral phase of samples 4-6 contained 90%, 83%, and 85% of MgO·Cr 2 O 3 , MgO·Fe 2 O 3 , and MgO·Al 2 O 3 , respectively (see composition in Table 1).
to corrosion by sodium carbonate. A comparison between the experimental and thermochemical calculation results provided insight into the direction and limit of the reactions in the multi-reaction system and on the influence of the reaction conditions on the corrosion process. Our objectives were to describe the thermodynamic mechanism by which sodium carbonate reacts with the mineralogical phases of the refractory minerals. The acquired knowledge can provide theoretical guidance to predictably control the corrosion of refractory materials.

Refractory Materials Preparation and Characterization
In the investigations, six commercially available oxides and spinel refractory materials (numbered 1-6) were tested to study their corrosion by Na2CO3. The three oxide refractory samples are (1) Al2O3, (2) Fe2O3, and (3) Cr2O3, and the other three spinel refractory samples are (4) magnesium chromium (MgO·Cr2O3), (5) magnesioferrite (MgO·Fe2O3), and (6) magnesium aluminium (MgO·Al2O3). The three spinel refractories that were selected in this paper are commercially and commonly used refractories, which were synthesized in the laboratory. MgO (analytical purity) and Cr2O3 (analytical purity) were used as raw materials to synthesize sample 4. The MgO·Cr2O3 spinel was obtained by mixing Cr2O3 and MgO at a molar ratio of 1 and placing the mixture in a hightemperature tube furnace at 1500 °C for 4 h (Figure 2, Section 2.2 provides a detailed description). Sample 5 and sample 6 were prepared in the same manner. The XRD analysis and calculated RIR values reveal that the main mineral phase of samples 4-6 contained 90%, 83%, and 85% of MgO·Cr2O3, MgO·Fe2O3, and MgO·Al2O3, respectively (see composition in Table 1).

Thermochemical Experimental Apparatus and Procedure
The high-temperature corrosion tests were performed in a high-temperature tube furnace, as shown schematically in Figure 2, which consists of a quartz tube reactor and a temperature control section. The temperature of the tube furnace is automatically controlled by the temperature controller, which allows the temperature to vary between room temperature and 1700 • C. The refractory materials and Na 2 CO 3 (analytical purity) samples (molar ratio of 1), with a diameter less than 200 mesh powders, were screened-dried to avoid hydration and placed in the crucibles. The crucibles were simultaneously heated in the high-temperature tube furnace at pre-determined temperatures (600 • C, 700 • C, 800 • C, 900 • C, 1000 • C, 1100 • C, and 1200 • C) under atmospheric pressure. Corrosion experiments were maintained for 2 h at the seven specified temperatures. When the experiment was completed, the tube furnace was cooled to room temperature, and the reaction product in the crucible was removed. After the high-temperature corrosion, the experiment reaction products were ground below 10 µm for a further analysis by XRD. The test flow chart is shown in Figure 3.

Thermochemical Experimental Apparatus and Procedure
The high-temperature corrosion tests were performed in a high-temperature tube furnace, as shown schematically in Figure 2, which consists of a quartz tube reactor and a temperature control section. The temperature of the tube furnace is automatically controlled by the temperature controller, which allows the temperature to vary between room temperature and 1700 °C.
The refractory materials and Na2CO3 (analytical purity) samples (molar ratio of 1), with a diameter less than 200 mesh powders, were screened-dried to avoid hydration and placed in the crucibles. The crucibles were simultaneously heated in the high-temperature tube furnace at predetermined temperatures (600 °C, 700 °C, 800 °C, 900 °C, 1000 °C, 1100 °C, and 1200 °C) under atmospheric pressure. Corrosion experiments were maintained for 2 h at the seven specified temperatures. When the experiment was completed, the tube furnace was cooled to room temperature, and the reaction product in the crucible was removed. After the high-temperature corrosion, the experiment reaction products were ground below 10 μm for a further analysis by XRD. The test flow chart is shown in Figure 3.

Analytical Determinations
The phase composition of the initial and reacted samples was determined by X-ray diffraction (XRD). The XRD patterns were recorded on an automated Shimadzu 7000S diffractometer (Shimadzu, Kyoto, Japan) using Cu Kα radiation and a secondary curved graphite monochromator. The anode voltage and current were 40 kV and 50 mA, respectively. The interval 10-70° (2θ) was scanned with a scan step of 5°/min.

Analytical Determinations
The phase composition of the initial and reacted samples was determined by X-ray diffraction (XRD). The XRD patterns were recorded on an automated Shimadzu 7000S diffractometer (Shimadzu, Kyoto, Japan) using Cu Kα radiation and a secondary curved graphite monochromator. The anode voltage and current were 40 kV and 50 mA, respectively. The interval 10-70 • (2θ) was scanned with a scan step of 5 • /min.

Thermochemical Equilibrium Calculations
The thermochemical equilibrium calculations were performed with the FactSage software package (version 6.4, GTT Technologies, Aachen, Germany and Thermfact/CRCT, Montreal, QC, Canada). The FToxid, FTmisc, FTsalt, and FactPS thermodynamic databases were obtained by the evaluation and optimization of hundreds of molten metals, oxide liquid and solid phases, matte smelting systems, molten salt solutions, and aqueous solutions. The corrosion of refractory materials by Na 2 CO 3 was considered to occur under isothermal and isobaric conditions in the thermodynamic analysis. The Gibbs free energy of reaction is often adopted to determine the direction and extent of a reaction at constant temperature and constant pressure. FactSage was used to calculate the Gibbs free energy and the phase equilibrium reaction thermodynamics between the refractory materials and Na 2 CO 3 between 600 and 1200 • C. evaluation and optimization of hundreds of molten metals, oxide liquid and solid phases, matte smelting systems, molten salt solutions, and aqueous solutions. The corrosion of refractory materials by Na2CO3 was considered to occur under isothermal and isobaric conditions in the thermodynamic analysis. The Gibbs free energy of reaction is often adopted to determine the direction and extent of a reaction at constant temperature and constant pressure. FactSage was used to calculate the Gibbs free energy and the phase equilibrium reaction thermodynamics between the refractory materials and Na2CO3 between 600 and 1200 °C.

Decomposition and Synthesis Reactions of the Spinels
The Gibbs free energy of the decomposition and synthesis reactions of the three spinels at temperatures from 600 to 1200 °C are shown in Figures 4 and 5. The Gibbs free energies of the decomposition of MgO·Cr2O3 and MgO·Al2O3 are positive, while the Gibbs free energy of the corresponding synthesis reactions at high temperature is lower than that of MgO·Fe2O3. Thus, it is hard to decompose and easy to synthetize MgO·Cr2O3 and MgO·Al2O3 at high temperatures. The Gibbs free energy of the decomposition of MgO·Fe2O3 becomes negative with increasing temperature, illustrating the decomposition at high temperature.

Reaction between the Six Refractory Materials and Na2CO3
As seen in Figures 6 and 7, with the increase in temperature, the Gibbs free energy of the reaction between the six refractory materials and sodium carbonate decreases. The Gibbs free energy of the reaction between sodium carbonate and MgO·Cr2O3 is negative at 600 °C; thus, we can conclude that the chromium-containing spinel reacts with sodium carbonate at low temperature. With the increase in temperature, the Gibbs free energy of the reaction between sodium carbonate and MgO·Fe2O3 and MgO·Al2O3 decreases. When the temperature is higher than 1000 °C, the Gibbs free energy is negative, indicating that these two spinels can react with sodium carbonate at high temperature. Figure 7 shows that the Gibbs free energy of the reaction between chromium oxide and sodium carbonate is very low, which indicates that the reaction proceeds at low temperature. Figure 6. Gibbs free energy of the reaction between Na2CO3 and the three spinels in the 600-1200 °C temperature range. (7) Na2CO3 + 1/2MgO·Cr2O3 + 3/4O2 = 1/2MgO + Na2CrO4 + CO2; (8) Na2CO3

Reaction between the Six Refractory Materials and Na 2 CO 3
As seen in Figures 6 and 7, with the increase in temperature, the Gibbs free energy of the reaction between the six refractory materials and sodium carbonate decreases. The Gibbs free energy of the reaction between sodium carbonate and MgO·Cr 2 O 3 is negative at 600 • C; thus, we can conclude that the chromium-containing spinel reacts with sodium carbonate at low temperature. With the increase in temperature, the Gibbs free energy of the reaction between sodium carbonate and MgO·Fe 2 O 3 and MgO·Al 2 O 3 decreases. When the temperature is higher than 1000 • C, the Gibbs free energy is negative, indicating that these two spinels can react with sodium carbonate at high temperature. Figure 7 shows that the Gibbs free energy of the reaction between chromium oxide and sodium carbonate is very low, which indicates that the reaction proceeds at low temperature.

Reaction between the Six Refractory Materials and Na2CO3
As seen in Figures 6 and 7, with the increase in temperature, the Gibbs free energy of the reaction between the six refractory materials and sodium carbonate decreases. The Gibbs free energy of the reaction between sodium carbonate and MgO·Cr2O3 is negative at 600 °C; thus, we can conclude that the chromium-containing spinel reacts with sodium carbonate at low temperature. With the increase in temperature, the Gibbs free energy of the reaction between sodium carbonate and MgO·Fe2O3 and MgO·Al2O3 decreases. When the temperature is higher than 1000 °C, the Gibbs free energy is negative, indicating that these two spinels can react with sodium carbonate at high temperature. Figure 7 shows that the Gibbs free energy of the reaction between chromium oxide and sodium carbonate is very low, which indicates that the reaction proceeds at low temperature. Figure 6. Gibbs free energy of the reaction between Na2CO3 and the three spinels in the 600-1200 °C temperature range. (7) Na2CO3 + 1/2MgO·Cr2O3 + 3/4O2 = 1/2MgO + Na2CrO4 + CO2; (8) Na2CO3   Figure 6. Gibbs free energy of the reaction between Na 2 CO 3 and the three spinels in the 600-1200 • C temperature range. (7) Na 2 CO 3 + 1/2MgO·Cr 2 O 3 + 3/4O 2 = 1/2MgO + Na 2 CrO 4 + CO 2 ; (8) Na 2 CO 3 + MgO·Fe 2 O 3 = Na 2 O·Fe 2 O 3 + CO 2 + MgO; (9) Na 2 CO 3 + MgO·Al 2 O 3 = MgO + Na 2 O·Al 2 O 3 + CO 2 .

Reaction of Intermediates
As seen Figure 8, in the temperature range of 600-1200 °C, the trivalent chromium-containing binary sodium salt is easily oxidized into the hexavalent chromium sodium salt in an oxidizing atmosphere. Moreover, sodium chromite is not stable, and it is converted to sodium chromate, regardless of the presence or absence of sodium carbonate. The Gibbs free energy is more negative in the presence of sodium carbonate, indicating that the presence of sodium carbonate is more conducive to the formation of a hexavalent chromium sodium salt. . Gibbs free energy of the reaction between Na 2 CO 3 and the three metal oxides in the 600-1200 • C temperature range. (10) Na 2 CO 3 + Al 2 O 3 = Na 2 O·Al 2 O 3 + CO 2 ; (11) Na 2 CO 3 + l/2Cr 2 O 3 + 3/4O 2 = Na 2 CrO 4 + CO 2 ; (12) Na 2 CO 3 + Fe 2 O 3 = Na 2 O·Fe 2 O 3 + CO 2 .

Reaction of Intermediates
As seen Figure 8, in the temperature range of 600-1200 • C, the trivalent chromium-containing binary sodium salt is easily oxidized into the hexavalent chromium sodium salt in an oxidizing atmosphere. Moreover, sodium chromite is not stable, and it is converted to sodium chromate, regardless of the presence or absence of sodium carbonate. The Gibbs free energy is more negative in the presence of sodium carbonate, indicating that the presence of sodium carbonate is more conducive to the formation of a hexavalent chromium sodium salt.

Reaction of Intermediates
As seen Figure 8, in the temperature range of 600-1200 °C, the trivalent chromium-containing binary sodium salt is easily oxidized into the hexavalent chromium sodium salt in an oxidizing atmosphere. Moreover, sodium chromite is not stable, and it is converted to sodium chromate, regardless of the presence or absence of sodium carbonate. The Gibbs free energy is more negative in the presence of sodium carbonate, indicating that the presence of sodium carbonate is more conducive to the formation of a hexavalent chromium sodium salt.

Effect of Temperature on the Reaction of Metallic Oxides with Sodium Carbonate
The crystalline mineral species in the reaction products of the three metallic oxides (Al 2 O 3 , Cr 2 O 3 , and Fe 2 O 3 ) with sodium carbonate were identified by XRD and they are shown in Figures 9-11, respectively. As the temperature increases, so does, the peak intensity of the products and the reaction between the metallic oxide and sodium carbonate is more favourable. When the temperature is lower (600-700 • C), the reaction between Al 2 O 3 and Fe 2 O 3 and Na 2 CO 3 is not obvious, and the peak intensity of the products is lower. However, when the temperature reaches 800 • C, the progress of the two reactions is obvious, and the intensity of the NaAlO 2 and NaFeO 2 peaks is higher. Cr 2 O 3 reacts with Na 2 CO 3 at a lower temperature (600 • C) to produce Na 2 CrO 4 . From Figures 9-11, it can be concluded that Cr 2 O 3 reacts most easily with Na 2 CO 3 , followed by Al 2 O 3 and Fe 2 O 3 . Fe2O3; (14) Na2O·Cr2O3 + 3/4O2 = Na2CrO4 + 1/2Cr2O3; (15) Na2CO3 + Na2O·Cr2O3 + 3/2O2 = 2Na2CrO4 + CO2.

Effect of Temperature on the Reaction of Metallic Oxides with Sodium Carbonate
The crystalline mineral species in the reaction products of the three metallic oxides (Al2O3, Cr2O3, and Fe2O3) with sodium carbonate were identified by XRD and they are shown in Figures 9-11, respectively. As the temperature increases, so does, the peak intensity of the products and the reaction between the metallic oxide and sodium carbonate is more favourable. When the temperature is lower (600-700 °C), the reaction between Al2O3 and Fe2O3 and Na2CO3 is not obvious, and the peak intensity of the products is lower. However, when the temperature reaches 800 °C, the progress of the two reactions is obvious, and the intensity of the NaAlO2 and NaFeO2 peaks is higher. Cr2O3 reacts with Na2CO3 at a lower temperature (600 °C) to produce Na2CrO4. From Figures 9-11, it can be concluded that Cr2O3 reacts most easily with Na2CO3, followed by Al2O3 and Fe2O3.    Figure 10. XRD patterns of the products of the reaction between Fe2O3 and Na2CO3. Figure 11. XRD patterns of the products of the reaction between Cr2 O3 and Na2CO3.

Effect of Temperature on the Reaction of the Three Spinels with Sodium Carbonate
The crystalline mineral species in the reaction products of MgO·Fe2O3, MgO·Al2O3, and MgO·Cr2O3 with Na2CO3 were identified by XRD and they are shown in Figures 12-14, respectively. Figures 12 and 13 show that when the temperature is lower than 1000 °C, MgO·Fe2O3 and MgO·Al2O3 barely react, and when the temperature reaches 1000 °C, a weak product peak appears. Moreover, the peak intensity of these two spinels remains high, indicating that MgO·Fe2O3 and MgO·Al2O3 do not easily react with sodium carbonate and are therefore highly corrosive to sodium carbonate. As seen in Figure 14, at 700 °C, the peak intensity of the reaction sample is very weak, and the peak intensity of the products is strong. As the temperature increases, the peak intensity of the reaction products further increases, indicating that MgO·Cr2O3 reacts very easily with Na2CO3 and it is therefore corroded. Therefore, MgO·Fe2O3 and MgO·Al2O3 have the stronger resistance to Na2CO3 Figure 11. XRD patterns of the products of the reaction between Cr 2 O 3 and Na 2 CO 3 .

Effect of Temperature on the Reaction of the Three Spinels with Sodium Carbonate
The crystalline mineral species in the reaction products of MgO·Fe 2 O 3 , MgO·Al 2 O 3 , and MgO·Cr 2 O 3 with Na 2 CO 3 were identified by XRD and they are shown in Figures 12-14, respectively. Figures 12 and 13 show that when the temperature is lower than 1000 • C, MgO·Fe 2 O 3 and MgO·Al 2 O 3 barely react, and when the temperature reaches 1000 • C, a weak product peak appears. Moreover, the peak intensity of these two spinels remains high, indicating that MgO·Fe 2 O 3 and MgO·Al 2 O 3 do not easily react with sodium carbonate and are therefore highly corrosive to sodium carbonate. As seen in Figure 14, at 700 • C, the peak intensity of the reaction sample is very weak, and the peak intensity of the products is strong. As the temperature increases, the peak intensity of the reaction products further increases, indicating that MgO·Cr 2 O 3 reacts very easily with Na 2 CO 3 and it is therefore corroded. Therefore, MgO·Fe 2 O 3 and MgO·Al 2 O 3 have the stronger resistance to Na 2 CO 3 corrosion, while MgO·Cr 2 O 3 is the most easily eroded by Na 2 CO 3 . These findings on the reaction of the three spinels and sodium carbonate were also observed in the FactSage thermodynamic calculations discussed in Section 3.1.2 of this paper. corrosion, while MgO·Cr2O3 is the most easily eroded by Na2CO3. These findings on the reaction of the three spinels and sodium carbonate were also observed in the FactSage thermodynamic calculations discussed in Section 3.1.2 of this paper.

Conclusions
A combination of theory and experiment was used to study the corrosion of various components of refractories by sodium carbonate. The Gibbs free energy of reaction was calculated using the FactSage software to determine the ease of reaction, and the experimental products were analysed by XRD. The thermodynamic properties of the refractory materials and sodium carbonate were discussed.
(1) Spinel compounds in refractory materials are generally not susceptible to thermal decomposition reactions. The Mg-Cr and Mg-Al spinels are more difficultly pyrolysed and they have good thermal stability. (2) The chromium-containing spinel reacts easily with Na2CO3 to form Na2CrO4. However, Na2Cr2O4 is not stable and can be converted to Na2CrO4 and Cr2O3. In the presence of Na2CO3, the dibasic sodium salt is more easily converted to Na2CrO4, indicating that the presence of sodium salts causes chromium-containing refractories to be more susceptible to corrosion, which shortens their service life. (3) The difficulty of the reaction between the spinel and sodium carbonate is as follows: MgO·Al2O3, MgO·Fe2O3, and MgO·Cr2O3. (4) Chromium oxide can react with sodium carbonate at a lower temperature of 600 °C and it has the worst corrosion resistance.

Conclusions
A combination of theory and experiment was used to study the corrosion of various components of refractories by sodium carbonate. The Gibbs free energy of reaction was calculated using the FactSage software to determine the ease of reaction, and the experimental products were analysed by XRD. The thermodynamic properties of the refractory materials and sodium carbonate were discussed.
(1) Spinel compounds in refractory materials are generally not susceptible to thermal decomposition reactions. The Mg-Cr and Mg-Al spinels are more difficultly pyrolysed and they have good thermal stability. (2) The chromium-containing spinel reacts easily with Na 2 CO 3 to form Na 2 CrO 4 . However, Na 2 Cr 2 O 4 is not stable and can be converted to Na 2 CrO 4 and Cr 2 O 3 . In the presence of Na 2 CO 3 , the dibasic sodium salt is more easily converted to Na 2 CrO 4 , indicating that the presence of sodium salts causes chromium-containing refractories to be more susceptible to corrosion, which shortens their service life. (3) The difficulty of the reaction between the spinel and sodium carbonate is as follows: MgO·Al 2 O 3 , MgO·Fe 2 O 3 , and MgO·Cr 2 O 3 . (4) Chromium oxide can react with sodium carbonate at a lower temperature of 600 • C and it has the worst corrosion resistance.
These results reveal the thermodynamic mechanism by which sodium carbonate reacts with the mineralogical phases of the refractory minerals. The results of the present work contribute to the use of refractory material in industrial waste liquid boilers. However, it should be noted that the corrosion mechanism of refractory materials by other alkali metals need to be further studied because of the complex composition of waste liquids.

Conflicts of Interest:
The authors declare no conflicts of interest.