ISIJ International
Online ISSN : 1347-5460
Print ISSN : 0915-1559
ISSN-L : 0915-1559
Regular Article
Thermodynamic Calculation of Reaction and Equilibrium between Coal and FeO-containing Slag in the Atmosphere of CO2 Gas
Yan WuHiroyuki Matsuura Zhangfu YuanFumitaka Tsukihashi
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2017 Volume 57 Issue 4 Pages 593-601

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Abstract

High temperature slags could act as not only heat carrier and catalyst but also reactants in some chemical reactions to produce syngas due to the individual components in slags. A new method is put forward to utilize the thermal energy of converter slags to generate CO gas which could improve the energy utilization efficiency. Thermodynamics of the reactions among coal, FeO–CaO–SiO2 slag and gas was studied by thermodynamic calculation under steady temperature condition or no enthalpy change condition. The effects of FeO amount in initial slag, mass%CaO/mass%SiO2 ratio of slag, and slag temperature on the behavior of the production of H2 and CO gases were clarified.

1. Introduction

The ironmaking and steelmaking process by blast furnace and basic oxygen converter furnace consumes considerable amount of energy and generates CO2 in large quantity.1,2,3) Under this situation, the steel industry faces a serious challenge to meet the target that global CO2 emissions are cut to less than 50% of 2000 levels by 2050.4) Therefore, it is urgent to reduce CO2 emission from steel industries and develop environmental-friendly ironmaking and steelmaking processes.5)

Nowadays China has been the largest steel producer and its annual crude steel output reached 823 Mt in 2014.6) Accordingly, about 110 Mt converter slags were discharged. The total waste heat associating with these slags is estimated to be more than 1.76 × 1017 J with the slag enthalpy of 1.6 GJ per ton of slag,7,8) which corresponds to around 5.85 million ton of coal. As high temperature slags carry a substantial amount of high quality thermal energy, they could represent the largest undeveloped energy source in the steel industry.9,10)

High temperature slags could act as not only thermal media but also good catalyst, for promoting decomposition of coal.11) Steelmaking slag contains from 15 to 30 mass% FeO, which could contribute to chemical reactions to produce syngas. The conventional method based on sensible heat storage is an indirect process that uses ceramics, water, etc., and requires an additional heat exchange.12,13) From the viewpoint of energy cascade utilization, it is important to use high temperature waste heat as a heat source in the chemical industry.14,15) Some processes have been identified to recover thermal energy from molten slag by water vapor, because of its huge potential. Matsuura et al.16) have calculated the generation of H2 gas by the reaction between FeO in steelmaking slag and steam, and it was found that the increase of introduced gas temperature, the ratio of mass%CaO to mass%SiO2 and FeO content in slag could improve the productivity of H2 gas. Sato et al.17) conducted the laboratory-scale experiments to examine this reaction. It was indicated that at 1723 K the increase of FeO content and the ratio between mass%CaO and mass%SiO2 enhanced the production of H2 gas, which was consistent with the calculated results.

The conventional gas-solid coal gasification has a series of drawbacks for both the plant and the environment. Akiyama et al.18,19) pointed that gasification of carbon was more suitable for the recycling of molten BF slag and developed a process to promote the endothermic reaction to produce H2 and CO using BF slag waste heat.20) Then Purwanto and Akiyama21) or Maruoka et al.22) carried out a large number of experiments, the exergy recovery rate of which reached 85%. Li et al.23,24,25,26) proposed a new system using the BF slag waste heat to ensure the requirement of heat for coal gasification. According to their analysis, about 0.4 Mt tons of CO was generated by 1 Mt slag and the conversion efficiency from thermal to chemical reached 35%.

According to all the references, the utilization of BF slag provides a valuable reference to our study of steelmaking slag. On the basis of these facts related to CO2 emission and steelmaking slag, the utilization of steelmaking slag as a catalyst and heat carrier for coal reforming to produce CO, H2 gases and carbonaceous materials is attractive to solve these problems. To develop the new slag utilization method, sufficient understanding of the chemical reactions among FeO-containing slag, coal and gas is essential.

In the present study, equilibrium among coal, FeO–CaO–SiO2 slag and gas was studied by thermodynamic calculations in the condition of steady temperature or no enthalpy change. Also, the effects of slag composition and slag temperature on the producing behavior of H2 and CO gases were clarified. The results indicate the possibility of realizing a process of producing CO from coal and steelmaking slag. Furthermore, the proposed system will contribute to promoting energy conservation in the steelmaking industry by reducing CO2 gas emission in the atmosphere, which will be useful for mitigating the global warming.

2. Thermodynamic Calculation at Steady Temperature Condition

2.1. Calculation Conditions

A commercial thermodynamic calculation software FactSage 6.3 was applied to estimate the equilibrium state of the system. Table 1 shows the details of calculation conditions. Firstly, the initial condensed phases including molten slag and solid oxides were prepared by inputting oxide constituents with prescribed compositions and equilibrating at initial slag temperature. Subsequently, the prepared condensed phases were equilibrated with coal and CO2 gas.16) The composition of coal used for calculation is shown in Table 2.

Table 1. Conditions for calculations in the case of steady temperature condition.
Slag preparation
ReactionFeO(s)+CaO(s)+SiO2(s)→FeO–CaO–SiO2(slag) + other condensed phases
AmountTotal: 10 kg
CompositionFeO: from 10 mass% to 40 mass% step 1 mass% mass%CaO/mass%SiO2: from 1 to 4
Temperature1773, 1823, 1873, 1923 or 1973 K
Slag-gas equilibrium
ReactionFeO–CaO–SiO2(slag)+other condensed phases+5 kg Coal+20 kg CO2(1 atm)
→FeO–Fe2O3–CaO–SiO2(slag)+other condensed phases+ H2O–H2–CO–CO2(g)
Pressure1.0 atm
Table 2. Composition of coal used for calculation.
ComponentCH2OCH4SiO2CaOAl2O3
Composition (mass%)8634421

2.2. Effect of FeO Amount in Initial Slag

Various conditions of slag temperature from 1773 to 1973 K and initial FeO content from 10 mass% to 40 mass% were examined in the steady temperature condition. In the prepared slag, 5 kg coal was added and 20 kg CO2 was constantly introduced. The initial mass% CaO/mass%SiO2 ratio of slag was 1.

The mole fraction of CO, H2, CO2 and H2O in gas phase was around 86%, 3%, 10% and 1%, respectively. They were barely changed with the change of FeO content in initial slag, and the effect of temperature was unobvious on the mole faction of gas.

Figure 1 shows the produced amount of CO, H2 and H2O gases and the amount of remaining CO2 gas with FeO content in initial slag at steady temperature condition. Higher the reaction temperature was, more CO was produced and less H2 was produced. The CO2 gas left after equilibrium was the opposite with the produced amount of CO gas, while the produced amount of H2O was the opposite with that of H2. The following ΔG° was calculated by FactSage 6.3 Software and the calculated temperature range is from 1600 K to 2100 K.   

C( s ) + CO 2 ( g ) 2CO( g ) , ΔG°=161   000-168.1   T      J/mol (1)
Fig. 1.

Produced amount of CO, H2 and H2O gases and the amount of remaining CO2 gas with FeO content in initial slag at steady temperature condition.

Coal reacted with CO2 in the reduction reaction to produce the combustible gas. Firstly, CO2 contacted with the surface of the coal granules and was absorbed by carbon to create intermediate complex.27) Then, CO was generated by the reduction reaction. Since this reaction is a highly endothermic reaction,28) the reduction of CO2 is promoted and more CO is produced with the increase of temperature. At the same time, the increase of CO amount with increasing temperature restrained the following reaction. Therefore, the production of H2 was suppressed.   

C( s ) + H 2 O( g ) CO( g ) + H 2 ( g ) , ΔG°=133   500-141.9   T      J/mol (2)

In the case of 1773 K, 1823 K and 1873 K, the produced amount of CO and H2 decreased with the increase of FeO content higher than 30 mass% in the initial slag, which have the opposite change trends to the produced solid Fe amount as shown in Fig. 2. The activity of FeO in slag phase relative to liquid FeO with the increase of FeO content in initial slag is shown in Fig. 3. When FeO content in initial slag was 20 or 40 mass%, FeO content in slag phase after equilibrium was 19.2 or 33.5 mass% and the activity of FeO in slag phase relative to liquid FeO was 0.29 or 0.58, respectively. It could be seen that the activity of FeO in slag phase was not proportional to the FeO content when FeO content in initial slag was higher than 30 mass%, which was also a proof of the consumption of FeO. With the increase of the activity of FeO, metallic Fe can be formed more easily by carbon in coal. More CO could be produced through the CO2 reduction compared with the FeO reduction according to the reaction equations. Therefore, in larger FeO activity case, some carbon was consumed for Fe formation and total generated CO amount decreased with the formation of metallic iron.

Fig. 2.

Produced solid Fe amount with FeO content in initial slag at steady temperature condition.

Fig. 3.

Activity of FeO in slag phase relative to liquid FeO with FeO content in initial slag at steady temperature condition.

2.3. Effect of mass%CaO/mass%SiO2 Ratio in Initial Slag

Various conditions of slag temperature from 1773 to 1973 K and the initial mass% CaO/mass%SiO2 of slag from 1 to 4 were examined in the steady temperature condition. In the prepared slag, 5 kg coal was added and 20 kg CO2 gas was introduced. FeO content in initial slag was fixed as 20 mass%.

The effects of slag temperature and the initial mass%CaO/mass%SiO2 ratio of slag were unobvious on the mole fraction of H2 in gas phase after equilibrium, which was about 2.6%. Apart from the area where the initial mass%CaO/mass%SiO2 ratio of slag was from 1.4 to 2.1, the effects of slag temperature and the initial mass%CaO/mass%SiO2 ratio of slag were small on the mole fraction of CO and CO2 in gas phase after equilibrium, which was about 86.6% and 9.5%, respectively. The mole fraction of CO decreased while that of CO2 increased with the decrease of temperature in the range of mass%CaO/mass%SiO2 between 1.4 and 2.1.

Figure 4 shows the produced amount of CO, H2 and H2O gases and the amount of remaining CO2 gas with the initial mass%CaO/mass%SiO2 ratio of slag at steady temperature condition. In the case of 1923 K and 1973 K, the effect of mass%CaO/mass%SiO2 ratio of slag was unobvious. In the case of 1773 K, 1823 K and 1873 K, there was a smooth transition point of the amount of CO, CO2, H2 and H2O in gas phase after equilibrium around 1.8 of mass%CaO/mass%SiO2. The mole fraction of CO and H2 in gas phase after equilibrium initially decreased, and then turned to increase and finally became unchanged with the increase of the initial mass%CaO/mass%SiO2 ratio of slag. The change trend of CO2 was opposite to that of CO while the change trend of H2O was opposite to that of H2.

Fig. 4.

Produced amount of CO, H2 and H2O gases and the amount of remaining CO2 gas with the initial mass%CaO/mass%SiO2 ratio of slag at steady temperature condition.

In the database of FactSage 6.3, “solid solution phase” represents the phase formed by reaction among FeO, Fe2O3 and CaO, while “α-2CaO·SiO2” presents one kind of 2CaO·SiO2. The production behavior of “solid solution phase” and “α-2CaO·SiO2” are shown in Fig. 5. The activity of FeO in slag phase relative to liquid FeO with the initial mass%CaO/mass%SiO2 ratio in slag at steady temperature condition is shown in Fig. 6. When the mass%CaO/mass%SiO2 ratio of slag was lower than 1.8, the activity of FeO increased with the increase of the mass%CaO/mass%SiO2 ratio of slag and reached the maximum. Then the activity of FeO decreased and became stable with the further increase of the mass%CaO/mass%SiO2 ratio of slag. When the mass%CaO/mass%SiO2 ratio of slag was less than 1.8, the 2CaO·SiO2 phase was formed continuously from the initial slag with the increase of mass%CaO/mass%SiO2 ratio. So the FeO content in remaining liquid phase increased with the increase of solid phase fraction. More oxide ions would be taken in with the increase of CaO content, which made the increase of O2− in slag. On the one hand, the complicated silicate anions would be depolymerized to form relatively simple structure. On the other hand, Fe2+-O2− was formed from the increased O2− and Fe2+ while Ca2+ existed beside the relatively simple complex anions after depolymerization. This made the concentration of Fe2+-O2− in slag increase, so the activity of FeO increased.29) When the mass%CaO/mass%SiO2 ratio of slag was higher than 2.6, “solid solution phase” was produced because of the reaction between surplus CaO and FeO. Therefore, the activity of FeO was decreased and then became unchanged.

Fig. 5.

Amount of produced α-2CaO∙SiO2 phase and solid solution phase with the initial mass%CaO/mass%SiO2 ratio in slag at steady temperature condition.

Fig. 6.

Activity of FeO in slag phase relative to liquid FeO with the initial mass% CaO/mass%SiO2 ratio in slag at steady temperature condition.

When the initial mass%CaO/mass%SiO2 ratio of slag was from 1.4 to 2.1, the activity of FeO in slag first increased and then decreased with the mass%CaO/mass%SiO2 ratio, which affected the reaction between FeO in slag and carbon for Fe formation. Therefore, the produced amount of CO and H2 has the according change trend.

3. Thermodynamic Calculation at No Enthalpy Change Condition

In the no enthalpy change calculation, condensed phases after an equilibrium calculation were input as the initial condensed phases in the next calculation and new gas was equilibrated again. The above equilibrium calculation between slag and gas was repeated until temperature decreased below 1722 K. Coal was introduced together with CO2 gas at every step. The composition of coal used for calculation is shown in Table 2. Table 3 shows the calculation conditions by FactSage 6.3 in the case of no enthalpy change.

Table 3. Conditions for calculations in the case of no enthalpy change.
Slag preparationmass%CaO/mass%SiO2: from 1 to 4
FeO: from 10 mass% to 40 mass% step 5 mass% Slag temperature:
1773, 1823, 1873, 1923 or 1973 K Total amount: 10 kg
ReactionFeO–CaO–SiO2(slag)+other condensed phases +5 g coal+10 L CO2(g)
→FeO–Fe2O3–CaO–SiO2(slag)+ other condensed phases
(exclude solid or liquid Fe)+H2O–H2–CO–CO2(g) in every calculation step
Gas conditionGas temperature: 298 K Gas composition: P(CO2)=1.0 atm
TemperatureChange to satisfy no enthalpy change

3.1. Effect of FeO Amount in Initial Slag

Every time 10 L CO2 gas was introduced together with 5 g coal. The initial mass%CaO/mass%SiO2 ratio of slag was 1. Initial slag temperature was 1873 K and temperature of installed gas and coal was 298 K. FeO content in initial slag was from 10 mass% to 40 mass%.

In every calculation step, coal was injected together with the introduced CO2 gas. According to the calculated results, the mole fraction of the gases kept unchanged although CO2 gas and coal were injected continuously under certain FeO content in initial slag condition. This is because the amount of injected CO2 was adequate to make coal react completely. When the FeO content in initial slag was 10 mass%, the mole fractions of CO, CO2, H2 and H2O were 90.8%, 5.2%, 3.3% and 0.7%, respectively. When the FeO content in initial slag was 40 mass%, the mole fractions of CO, CO2, H2 and H2O were 84.8%, 11.2%, 2.7% and 1.3%, respectively.

Figure 7 shows the produced amount of CO, H2 and H2O gas and the amount of remaining CO2 gas with the volume of constantly introduced CO2 gas under different FeO content in initial slag at no enthalpy change condition. Larger the initial FeO content was, smaller the amounts of produced CO and H2 were. Effect on the amount of CO2 was simply opposite to that of CO while the effect on the amount of H2O was opposite to that of H2. With the introduction of CO2 gas, the activity of FeO in slag phase kept unchanged in any initial FeO content condition, which could be seen in Fig. 8. Liquid or solid Fe was generated from the beginning until 80 L of CO2 gas supply as shown in Fig. 9. The produced amount of Fe reduced sharply when the introduced CO2 gas reached 80 L. This is because the produced Fe was not included as the initial condensed phase in the next calculation. So the activity of FeO in slag phase kept unchanged although the Fe amount decreased. More the FeO content in initial slag was, more obvious the increasing trend of the reduced Fe amount with gas volume was.

Fig. 7.

Produced amount of CO, H2 and H2O gases and the amount of remaining CO2 gas with the volume of constantly introduced CO2 gas under different FeO content in initial slag at no enthalpy change condition.

Fig. 8.

Activity of FeO in slag phase relative to liquid FeO with the volume of constantly introduced CO2 gas under different FeO content in initial slag at no enthalpy change condition.

Fig. 9.

Produced amount of solid or liquid Fe with the volume of constantly introduced CO2 gas under different FeO content in initial slag at no enthalpy change condition.

3.2. Effect of mass%CaO/mass%SiO2 Ratio of Slag

For each calculation step, 10 L CO2 gas was introduced together with 5 g coal. FeO content in initial slag was 20 mass%. Initial slag temperature was set as 1873 K and introduced gas temperature was 298 K. The initial mass%CaO/mass%SiO2 ratio of slag was 1, 1.2, 1.5, 1.9, 2.3, 3, 4.

The mole fraction of H2 in gas phase was about 3.3%, which was not affected by the initial mass%CaO/mass%SiO2 ratio of slag. The mole fraction of CO and CO2 also did not change with the supply of gas at each different mass%CaO/mass%SiO2 ratio condition. Figure 10 shows the mole fraction of CO, CO2, H2 and H2O in gas phase with the amount of constantly introduced CO2 gas volume under different initial mass%CaO/mass%SiO2 ratio in slag at no enthalpy change condition. The mole fraction of CO was higher than 83.2%. The mole fraction of CO2 was more than 4.1% and less than 12.7%. The applicable condition of those results was that the initial mass% CaO/mass% SiO2 ratios in slag were 1, 1.2, 1.5, 1.9, 2.3, 3 and 4. The effect of mass%CaO/mass%SiO2 ratio was the same as the steady temperature calculation condition. When mass%CaO/mass%SiO2 ratio was 1.9, the mole fraction of CO has the minimum value while the mole fraction of CO2 was the highest.

Fig. 10.

Mole fraction of CO, CO2, H2 and H2O in gas phase with the amount of constantly introduced CO2 gas under different initial mass%CaO/mass%SiO2 ratio in slag at no enthalpy change condition.

Figure 11 shows the produced amount of CO, H2 and H2O gases and the amount of remaining CO2 gas with the amount of constantly introduced CO2 gas under different initial mass%CaO/mass%SiO2 ratio in slag at no enthalpy change condition. The effect of the mass%CaO/mass%SiO2 ratio on produced amount of gas was the same for CO and H2, while that of CO2 was affected oppositely. When mass%CaO/mass%SiO2 ratio was 1.9, the produced amount of CO and H2 were the minimum while that of CO2 and H2O were the maximum. When mass%CaO/mass%SiO2 ratio was 3 or 4, the produced amount of CO and H2 were the most and that of CO2 and H2O were the least.

Fig. 11.

Produced amount of CO, H2 and H2O gases and the amount of remaining CO2 gas with the amount of constantly introduced CO2 gas under different initial mass%CaO/mass%SiO2 ratio in slag at no enthalpy change condition.

The above results were related with the activity of FeO in the slag phase relative to liquid FeO, which is shown in Fig. 12. The activity of FeO in the calculation condition was the same as the aforementioned results in Fig. 6, which further demonstrated that the activity of FeO was affected by the mass%CaO/mass%SiO2 ratio, the amount of produced α-2CaO∙SiO2 phase, and the existence of liquid or solid Fe and the solid solution phases. In large FeO activity case, some carbon was consumed by FeO reduction and total generated CO amount decreased with the formation of metallic iron. In the case of mass%CaO/mass%SiO2 ratio of 3 and 4, the FeO activity was the least and the generated CO amount was the most, which were primarily through the endothermic reaction between carbon and CO2. However, temperature change in one calculation step was smaller than others in those cases, which could be seen in Fig. 13. This is because temperature change of the system depends on not only the reduction of CO2 gas to form CO gas but also the reduction of iron oxide or formation of solid phase. In the case of mass%CaO/mass%SiO2 ratio of 3 and 4, significant amount of solid solution phases were formed.

Fig. 12.

Activity of FeO in slag phase relative to liquid FeO with the amount of constantly introduced CO2 gas under different initial mass%CaO/mass%SiO2 ratio in slag at no enthalpy change condition.

Fig. 13.

Temperature changes during calculations with the amount of constantly introduced CO2 gas under different initial mass%CaO/mass%SiO2 ratio in slag at no enthalpy change condition.

3.3. Effect of Slag Temperature

For each calculation step, 10 L CO2 gas was introduced together with 5 g coal. Supplied gas temperature was 298 K. The initial mass%CaO/mass%SiO2 ratio of slag was 1 and FeO content in initial slag was 20 mass%. Initial slag temperature was varied as 1823 K, 1873 K, 1923 K or 1973 K.

Slag temperature almost has no effect on the mole fraction of CO, H2, CO2 and H2O. Mole fractions of CO, CO2, H2 and H2O were nearly constant at about 90.4%, 5.5%, 3.3% and 0.8%, respectively.

Figure 14 shows the produced amount of CO, H2 and H2O gases and the amount of remaining CO2 gas with the amount of constantly introduced CO2 gas under different initial slag temperature at no enthalpy change condition. Although the lines of CO and H2 have the same slope, they are on the different position of the line with different slag temperature. The maximum amount of produced CO, H2 and H2O gases and the maximum amount of remaining CO2 gas under different initial slag temperature are marked by arrows in Fig. 14. Higher the slag temperature was, more CO and H2 gases were produced, because more CO2 gas can be introduced to the calculation system before the temperature reached 1772 K. When the slag temperature was higher, more energy could be reused and more CO2 gas can be introduced.

Fig. 14.

Produced amount of CO, H2 and H2O gases and the amount of remaining CO2 gas with the amount of constantly introduced CO2 gas under different initial slag temperature at no enthalpy change condition.

Slag temperature has no effect on the gas production amount of CO, H2 and H2O in every introduced 10 L gas. In every 10 L CO2 gas supply, about 0.073 mol, 0.00269 mol and 6.403×10−4 mol of CO, H2 and H2O was produced. Figure 15 shows the activity of FeO in slag phase relative to liquid FeO with the amount of constantly introduced CO2 gas under different initial slag temperature. Slag temperature has little effect on the activity of FeO in slag phase, which could explain the same gas production rate of CO, H2 and H2O under different slag temperature. On the contrary, effect of temperature on the relationship between the amount of remaining CO2 and the introduced CO2 gas amount was different from other gases. The effect of slag temperature on the CO2 amount in gas phase was obvious. If the slag temperature was high, the temperature of the CO2 gas would be higher after heat transfer with slag. Therefore, the amount of CO2 gas was smaller as the introduced gas condition is the same in different slag temperature condition, and thus less CO2 gas would be left compared to the low initial slag temperature condition.

Fig. 15.

Activity of FeO in slag phase relative to liquid FeO with the amount of constantly introduced CO2 gas under different initial slag temperature at no enthalpy change condition.

4. Conclusions

The production process of H2, CO gases by utilizing FeO and thermal energy in steelmaking slag has been considered and thermodynamic conditions of reactions between coal and slag in the atmosphere of CO2 gas has been studied by applying thermodynamic calculation in two different conditions.

In the steady temperature condition, the following results are obtained.

(1) The amount of CO increased and that of H2 decreased with the increase of the reaction temperature.

(2) In the case of 1773 K, 1823 K and 1873 K, the produced amount of CO and H2 became to decrease with FeO content when the FeO content in initial slag exceeded 30 mass%. When the initial mass%CaO/mass%SiO2 ratio was around 1.8, the produced amount and mole fraction of CO and H2 reached the minimum.

In the no enthalpy change condition, the obtained results are summarized as follows.

(1) Lowering the FeO content, the mole fractions of CO and CO2 became larger and smaller, respectively, and more CO and H2 were totally produced.

(2) In the present calculation conditions with mass%CaO/mass%SiO2 ratio varied from 1 to 4, the amount of produced CO and H2 reached the minimum at mass%CaO/mass%SiO2=1.9, while those were at maximum when mass%CaO/mass%SiO2 ratio was 3 or 4.

(3) The amount of CO and H2 gases increased in total with the increase of the initial slag temperature as more CO2 gas can be introduced to the calculation system.

Acknowledgment

This research work was partially supported by the CSC (China Scholarship Council). Authors acknowledge CSC and the National Natural Science Foundation of China (Grant No. 51174008) for the financial support.

References
 
© 2017 by The Iron and Steel Institute of Japan
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