3.1. Effect of temperature on reaction efficiency
The XRD analysis of the 45⁰C_n, 60⁰C_n, and 80⁰C_n samples are shown in Figs. 3A, B, and C, respectively. Upon reaction, only Ca(OH)2, Na2CO3, Na2CO3∙H2O and unreacted CaCO3 could be detected, with respective main reflection angles at 2θ of 29.5⁰ [25], 34.1⁰ [26], 16.9⁰ [27] and 30.1⁰ [28]. No additional phases were detected, suggesting the absence of secondary and competing reactions to occur.
The TG data for the 45⁰C_n, 60⁰C_n and 80⁰C_n series is shown in Fig. 4A, B and C, respectively.
The phase quantification could be performed through the weight losses observed in the TG data for CaCO3 (at 560–800°C), Ca(OH)2 (at 310–470°C) and Na2CO3∙H2O (at 50–130°C). The estimated quantities for all the samples discussed are summarised in Table 2, where the processing conditions used are stated in the sample IDs.
Table 2
Processing conditions and phases composition gained from thermogravimetric analysis, together with the Loss On Ignition (LOI) expressed in % and the Na2CO3.H2O/Ca(OH)2 molar ratio registered for all the samples discussed.
Sample ID | CaCO3 (wt.%) | Ca(OH)2 (wt.%) | Na2CO3∙H2O (wt.%) | Na2CO3 (wt.%) | LOI (%) | Na2CO3.xH2O/Ca(OH)2 (mol%/mol%) |
45⁰C_1min | 13.7 | 34.5 | 6.6 | 45.2 | 15.4 | 1.1 |
45⁰C_2min | 6.4 | 35.6 | 23.6 | 34.4 | 14.9 | 1.1 |
45⁰C_3min | 4.2 | 34.3 | 55.9 | 5.6 | 18.3 | 1.1 |
45⁰C_4min | 4.8 | 32.9 | 59.6 | 2.7 | 18.8 | 1.1 |
45⁰C_5min | 3.2 | 33.5 | 61.6 | 1.7 | 18.5 | 1.1 |
45⁰C_RT_5min | 4.6 | 34.7 | 57.0 | 3.7 | 18.7 | 1.1 |
60⁰C_1min | 8.9 | 34.8 | 15.1 | 41.2 | 14.6 | 1.1 |
60⁰C_2min | 4.5 | 36.8 | 18.0 | 40.7 | 13.5 | 1.1 |
60⁰C_3min | 4.2 | 37.7 | 8.6 | 49.5 | 12.2 | 1.1 |
60⁰C_4min | 4.3 | 36.7 | 8.9 | 50.1 | 15.0 | 1.1 |
60⁰C_5min | 3.1 | 37.8 | 11.1 | 48.0 | 12.2 | 1.1 |
60⁰C_RT_5min | 3.2 | 33.5 | 61.6 | 1.7 | 18.5 | 1.1 |
80⁰C_1min | 8.5 | 34.7 | 11.1 | 45.7 | 13.8 | 1.2 |
80⁰C_2min | 6.1 | 35.9 | 11.0 | 47.0 | 13.0 | 1.2 |
80⁰C_3min | 5.2 | 36.1 | 6.6 | 52.1 | 12.0 | 1.2 |
80⁰C_4min | 5.5 | 36.1 | 7.9 | 50.5 | 12.3 | 1.2 |
80⁰C_5min | 5.2 | 35.8 | 11.2 | 47.8 | 12.6 | 1.2 |
80⁰C_RT_5min | 6.0 | 35.2 | 15.0 | 43.8 | 13.4 | 1.2 |
It must be mentioned that the content of Na2CO3 was calculated by subtracting the sum of the other quantified phases Ca(OH)2¸ CaCO3 and Na2CO3∙H2O from the total mass (100%). In fact, since it would start decomposing above 851⁰C [29], it could not be directly quantified by TG analysis (up to 800⁰C) through the detection of the relevant peak. A higher content in Na2CO3 could also be suggested by the lower LOI registered for samples with similar reaction efficiencies (Table 2). This aspect will be extensively discussed in Section 3.2. However, the quantification was considered reliable since the XRD analysis confirmed the absence of any additional phases in the solid products. Moreover, the ratio between the mol% of Na2CO3.H2O/Na2CO3 and Ca(OH)2 revealed a good accordance to the stoichiometry expressed in Eq. 1, since the values were close to the unity. In fact, the conversion of 1 mole of CaCO3 should theoretically lead to the precipitation of 1 mole of both Na2CO3.xH2O and Ca(OH)2 (Eq. 1). Specifically, the ratios were suggesting a slight over-production of Na2CO3.H2O and Na2CO3 with respect to Ca(OH)2 for all the systems studied, and that could possibly be referring to the distribution of the ionic sites Ca2+ and CO32− of the surface of the CaCO3 crystals used, with an average particle size of 27.5 µm (Dx50) and specific surface area of 126.8 m2 kg− 1. Statistically, a 27% excess of negatively charged sites may be found on the CaCO3 surface [30], justifying the greater affinity of the CaCO3 to interact with the cationic species Na+ in the liquid bulk.
Based on the TG data, extent of reaction (α) was calculated for each system, and the outcomes are reported in Fig. 5.
The conversion of CaCO3 was high in the tested reaction conditions, since extents of 0.7–0.8 were obtained. The general trends of the extent of reaction coincides with that of XRD data (Figs. 3A, B, and C) which shows progressive decrease in the intensity of the CaCO3 main peak at 29.5⁰ 2θ. In the first 60 seconds, temperature had a significant impact on the extent of reaction, showing enhanced efficiency of CaCO3 conversion at higher temperatures, while limited effects of temperature were observed at longer reaction times. This is because the reaction is nearly completed with the longer reaction time even at the lower temperatures. Likely, the higher conversion registered at short residence time and higher temperature could be linked to the lower viscosity of the NaOH solutions, favouring the ionic mobility and the further interaction between the dissolved species and the solid surface and bulk.
The efficiency of the system may also be expressed in terms of CO2 capture, expressed as moles of CO2 precipitated as Na2CO3.xH2O per second of reaction progression. As reported in Fig. 6, the CO2 capture rate was decreasing from ~ 4.5*10− 4 molCO2·sec− 1 in the first 60 seconds of reaction down to two order of magnitude below (~ 10− 6 molCO2·sec− 1) after 300 seconds of contact time. In other terms, around the 80% of the total process CO2 initially introduced was effectively captured after 60 seconds of reaction.
The samples reacted without actively maintaining the temperature after the initial heating at 45, 60 and 80°C (temperatures of 21.5, 42.1, and 53.6°C were registered at the end of the reaction, respectively), indicated extent of reactions similar to those reacted at a constant temperature after 300 seconds (Fig. 5). Since the reaction proceeds fast, majority of the reaction must have happened before the temperature decreases significantly.
This is beneficial because a 20m NaOH solution (cp = 3,370 J kg− 1 ⁰C− 1 [31]) would only require an initial energy input of 67.4, 117.9 and 185.3 kJ∙kg− 1 to reach the temperature of 45, 60 and 80°C, respectively, from ambient conditions (25°C, 1 atm). As a result, energy inputs of 206, 350 and 589 kJ are required to chemically decarbonise 1 kg of CaCO3 at Ti of 45, 60 and 80⁰C, respectively. It follows that the decarbonisation route proposed here requires a much lower energy input with respect to the conventional calcination route, where 1819.4 kJ is required (thermodynamically) to decarbonise 1 kg of CaCO3 [32]. Naturally, this comparison can only be done on a laboratory-scale, whereas additional energy expenditures should be taken into account when considering an industrial case, such as the handling of the materials, transport of the reactants and products, maintenance of the reactors.
3.2. Proportioning of Na2CO3∙H2O and Na2CO3
The reaction at different conditions resulted in sequestration of CO2 by forming Na2CO3∙H2O and Na2CO3 in different proportion, with the x value (Eq. 1) equal to 1 and 0, respectively. To further study this phenomenon, the proportion between Na2CO3∙H2O and Na2CO3 was examined. Based on the data obtained from TGA (Figs. 4A, B and C), the molar fraction ν of precipitated Na2CO3 was calculated by dividing the moles of Na2CO3 in the samples by the total moles of Na2CO3∙H2O and Na2CO3. As reported in Fig. 7, at a constant temperature of 45⁰C, νNa2CO3 decreased significantly from 0.88 to 0.11 in the first 3 minutes, whereas the precipitation of Na2CO3 was dominant at 60 and 80°C for all the residence times investigated.
The samples reacted at ambient conditions showed enhanced precipitation of Na2CO3∙H2O at initial temperatures Ti of 45 and 60⁰C. Such a different proportion gained at different values of Ti might be explained by taking into account the thermodynamics of the system. Referring to Eq. 1 and considering the x value equal to 0 or 1, the calculation of the reaction standard enthalpy of reaction ΔHR led to values of -54.5 kJ mol− 1 and − 69.2 kJ mol− 1, respectively. The calculation was performed by application of the Hess law and considering standard enthalpies of formation of -1207.4, -426.7, -285.8, -986.1, -1429.7, and − 1129.2 kJ∙mol− 1 for CaCO3 [33], NaOH [34], H2O [34], Ca(OH)2 [34], Na2CO3∙H2O [33], and Na2CO3 [33], respectively. That would suggest that the precipitation of Na2CO3 would be slightly favoured at higher temperatures with respect to Na2CO3∙xH2O, i.e. the reaction with x equal to 1 shows a slightly more exothermic behaviour. In fact, lower Na2CO3 contents were registered for those samples reacted at ambient conditions from a Ti of 45 and 60°C, respect with 80⁰C, with respective final temperatures Tf of 21.5⁰C, 42.1⁰C and 53.5⁰C. This reflects the slightly less exothermic, i.e higher ΔHR, precipitation of Na2CO3 respect with Na2CO3∙H2O. The results of the TG analysis were supported by the XRD patterns reported in Figs. 3A, B and C. In fact, weak signals could be detected at 2θ of 16.9⁰, main peak for Na2CO3∙H2O, for all the 80⁰C_n series, whereas increased intensities were observed for the 45⁰C_n series above 2 minutes of residence time and the sample reacted at ambient conditions with Ti of 60⁰C.
The equilibrium of Na2CO3∙H2O and Na2CO3 was studied by performing targeted simulations of a simplified system using the PHREEQC software [35] with the PITZER(2018) database, and an overview of the outcomes is reported in Figs. 8A and B.
The simulation was conducted for a system composed of both 1 mol of Na2CO3∙H2O and 1 mol of Na2CO3 dissolved in 0.1 kg of water at 45, 60 or 80°C, with increasing NaOH introduction up to 20 m. The simulated system does not contain Ca ions as in the experimentally tested systems, but it is useful to understand the general behaviour of Na2CO3∙H2O and Na2CO3 in the aqueous system with the presence of NaOH at high concentrations. As seen in Fig. 8A, lower molality of NaOH would lead to the dominant precipitation of Na2CO3∙H2O while Na2CO3 is the major precipitate at higher NaOH molality. In the NaOH concentration range of approximately 10 to 12.5 m, co-precipitation of Na2CO3∙H2O and Na2CO3 occurs. This may explain the data presented in Fig. 7 for the samples reacted at 45°C. In fact, a low consumption of NaOH has taken place at the very start of Reaction 1, when the concentration of NaOH is still high (20 m), and Na2CO3 is the main product. When more NaOH is consumed, at enhanced reaction progression, the precipitation of Na2CO3∙H2O is favoured. Although the reaction also produces Ca(OH)2, its solubility is much lower than that of NaOH, and thus, the behaviour of the aqueous system is expected to be dominated by NaOH. Despite the NaOH concentration, the data for 60 and 80°C presented in Fig. 7 indicated that Na2CO3 was the main product throughout the tested period even after significant NaOH consumption. This may be related to the activity of water in the system. As shown in Fig. 8B, the activity of water (aH2O) generally decreases at higher NaOH concentration, in accordance with the literature [36]. The activity of water is lower also when the temperature is higher. By comparing this with Fig. 8A, it can be deduced that Na2CO3 forms when the activity of water is lower (the NaOH concentration is higher), and Na2CO3∙H2O can form when it is higher (the NaOH concentration is lower). Most likely, in these systems, the reaction temperatures (60 and 80 oC) were high enough to maintain the activity of water sufficiently low to form Na2CO3 even after consumption of NaOH. This also suggests that 45oC is not high enough to form Na2CO3, as confirmed with the experiments conducted at ambient conditions. In fact, the system initially heated at 60oC mostly formed Na2CO3∙H2O at the end of the reaction, where the temperature became 42.1°C.
The temperature significantly affects the aH2O values up to a NaOH molality around 10, and, above such a value, the system assumes a transitionary aH2O value of 0.603. That corresponds to a chemical potential u of -241.3 kJ∙mol− 1 (Eq. 6), where u0 is the standard chemical potential of formation of pure water [37], R the gas constant, and T the temperature in K.
$$u={u}_{0}+RTln{a}_{w} \left(6\right)$$
At this point, the transition Na2CO3∙H2O /Na2CO3 is swapped (Fig. 8A), promoting the precipitation of Na2CO3∙H2O and Na2CO3 above and below an activity of water of 0.603, respectively. To explain the constant water activity value of 0.603, the gradual formation of Na2CO3 to the detriment of Na2CO3∙H2O must be taken into account; as a result, water is released into the liquid bulk and it counterbalances the further addition of NaOH. In fact, when all the sodium into the system is converted to Na2CO3 and no more H2O is released by the dissolution of Na2CO3∙H2O, the activity of water rapidly drops down to just above 0.400 at NaOH 20 m. That corresponds to a higher water activity aH2O within the liquid phase of the system (Fig. 8B), and therefore resulting in a higher proportioning of Na2CO3∙H2O with respect to Na2CO3 (Fig. 8A).
3.3. Calculation of the Arrhenius parameters Ea and A
An additional set of experiments was conducted to estimate the activation energy Ea of the decarbonisation reaction at the different starting compositions reported in Table 1, selected from our previous study [13]. Based on the amount of CaCO3 and Ca(OH)2 in the reaction products estimated from their TGA data (Supplementary Electronic Information I - IV), the extent of reaction (α) was calculated for each reaction. As reported in Fig. 9, beneficial effects of raising temperatures were observed at different levels depending on the starting composition.
In these terms, the effects of temperature (T) is commonly expressed in the reaction rate constant (k) using Arrhenius equation (Eq. 7) [38], depending on the pre-exponential factor (A), activation energy (Ea) and gas constant (R).
$$k=A{e}^{\left(-{E}_{a}/RT\right)} \left(7\right)$$
The rate constant k is a change in the extent of reaction (α) per unit time (t). Since the reactions in this sub-set of experiment were all conducted for 1 minute, the extent of reaction obtained (Fig. 9) was directly used in Eq. 7 as representative of the reaction rate, and thus:
$$\alpha =A{e}^{\left(-{E}_{a}/RT\right)} \left(8\right)$$
Taking the natural logarithm, Eq. 8 can also be expressed as:
$$ln\alpha =lnA-\frac{{E}_{a}}{RT} \left(9\right)$$
By plotting ln α against T− 1, the activation energy Ea and pre-exponential factor A can be calculated from the slope (-Ea/RT) and the intercept at T− 1 = 0, respectively.
Figure 10. Linearized Arrhenius plot showing the correlation between lnk and − 1/T (K− 1) for the samples series NaOH_10M_n, NaOH_12M_n, NaOH_15M_n and NaOH_17M_n, reflected by the equations, 9, 10, 11, and 12, respectively.
$$y=3865.1x+10.254 {R}^{2}=1.00 \left(10\right)$$
$$y=2054.3x+5.638 {R}^{2}=0.91 \left(11\right)$$
$$y=1242.1x+3.507 {R}^{2}=0.94 \left(12\right)$$
$$y=933.3x+2.591 {R}^{2}=0.93 \left(13\right)$$
Based on these, the apparent activation energies for NaOH_10M, NaOH_12M, NaOH_15M and NaOH_17M are estimated as 32.1, 17.1, 10.3 and 7.8 kJ mol− 1, respectively, and therefore reflects the limited kinetics at lower NaOH molality.
Despite that, faster kinetics could be observed for all the conditions tested here, with respect to the conventional calcination route of CaCO3 under inert atmospheres (164–225 kJ∙mol− 1 [39]) and with varying CO2 partial pressures (213.3–2142.2 kJ∙mol− 1 [40]). Since the pre-exponential factor A represents the probability of collisions between the reacting components [41], we expected larger values of the pre-exponential factor for the higher NaOH concentration. However, this trend was not clearly observed in the present analysis, as shown in Fig. 11.
Given the lower efficiency reported, it is supposed that such collisions would not fulfil the energy barrier to be overcome for the reaction to occur. According to this data, a first-order kinetic description, only depending on a single parameter (i.e. NaOH concentration), would be supposed; on the other hand, the results reported by Hanein et al. [13] were also suggesting lower conversions at NaOH concentrations higher than 17.0 M. The other factors, such as the concentration of other reactants, and intrinsic properties of both the NaOH solutions [42] used and CaCO3 [43] may also play a determining role for collision of the reacting components. In these terms, previous studies [44–46] already discussed the interaction between solid calcite and dissolved solutes, concluding that the incorporation would occur at the level of the solid surface by adsorption, followed by nucleation/precipitation of the products within the core of solid CaCO3. This may justify the outcomes highlighted here. In fact, lower NaOH molalities could only allow for the saturation of the surface binding sites of calcite, whereas a higher gradient would be required to ensure the following nucleation/precipitation step. Finally, events of ionic competition could occur at too high NaOH concentrations [44, 47], as explained above, leading to hindered conversions; that would also justify the outcomes outlined in [13].