molecules Article Experimental Investigation and Simplistic Geochemical Modeling of CO2 Mineral Carbonation Using the Mount Tawai Peridotite Omeid Rahmani 1, *, James Highfield 2 , Radzuan Junin 3,4 , Mark Tyrer 5 and Amin Beiranvand Pour 6 1 2 3 4 5 6 * Department of Petroleum Engineering, Mahabad Branch, Islamic Azad University, Mahabad 59135-433, Iran 560 Yishun Avenue 6 #08-25 Lilydale, Singapore 768966, Singapore; [email protected] Department of Petroleum Engineering, FCEE, Universiti Teknologi Malaysia (UTM), Skudai 81310, Johor, Malaysia; [email protected] or [email protected] Universiti Teknologi Malaysia-Malaysia Petroleum Resources Corporation (UTM-MPRC), Institute for Oil and Gas, Universiti Teknologi Malaysia (UTM), Skudai 81310, Johor, Malaysia Mineral Industry Research Organisation, Wellington House, Starley Way, Birmingham International Park, Solihull, Birmingham B37 7HB, UK; [email protected] Geoscience and Digital Earth Centre (Geo-DEC), Research Institute for Sustainability and Environment (RISE), Universiti Teknologi Malaysia (UTM), Skudai 81310, Johor, Malaysia; [email protected] or [email protected] Correspondence: [email protected] or [email protected]; Tel.: +98-914-442-2009 Academic Editor: Derek J. McPhee Received: 16 January 2016 ; Accepted: 8 March 2016 ; Published: 16 March 2016 Abstract: In this work, the potential of CO2 mineral carbonation of brucite (Mg(OH)2 ) derived from the Mount Tawai peridotite (forsterite based (Mg)2 SiO4 ) to produce thermodynamically stable magnesium carbonate (MgCO3 ) was evaluated. The effect of three main factors (reaction temperature, particle size, and water vapor) were investigated in a sequence of experiments consisting of aqueous acid leaching, evaporation to dryness of the slurry mass, and then gas-solid carbonation under pressurized CO2 . The maximum amount of Mg converted to MgCO3 is ~99%, which occurred at temperatures between 150 and 175 ˝ C. It was also found that the reduction of particle size range from >200 to <75 µm enhanced the leaching rate significantly. In addition, the results showed the essential role of water vapor in promoting effective carbonation. By increasing water vapor concentration from 5 to 10 vol %, the mineral carbonation rate increased by 30%. This work has also numerically modeled the process by which CO2 gas may be sequestered, by reaction with forsterite in the presence of moisture. In both experimental analysis and geochemical modeling, the results showed that the reaction is favored and of high yield; going almost to completion (within about one year) with the bulk of the carbon partitioning into magnesite and that very little remains in solution. Keywords: CO2 sequestration; forsterite; ex-situ; in situ; mineral carbonation 1. Introduction Carbon dioxide (CO2 ) is the principal greenhouse gas released into the atmosphere during fuel combustion, particularly due to the extensive use of fossil fuels for energy production from coal, oil, and natural gas since the industrial revolution [1]. Moreover, atmospheric CO2 has recently surpassed 400 ppm, and is predicted to increase to nearly 1000 ppm by the end of the 21st Century [2,3]. The related global temperature rise (exceeding 2 ˝ C) [3] will almost certainly result in irreversible climate change with potentially disastrous consequences. Researchers have studied ways to mitigate the amount of greenhouse gases released into the atmosphere by sequestration of CO2 through different approaches, including aquifer storage, deep Molecules 2016, 21, 353; doi:10.3390/molecules21030353 www.mdpi.com/journal/molecules Molecules 2016, 21, 353 2 of 19 sea storage, and mineral carbonation in particular [1,4–14]. Minerals and rocks rich in magnesium (Mg2+ )/calcium (Ca2+ ) are commonly considered as candidates due to their wide availability, low cost, and environmentally benign nature. [8,12,15] During mineral carbonation, CO2 reacts with Mg2+ or Ca2+ -rich minerals (e.g., olivine and gypsum) to form solid carbonates, which are expected to be stable over geologic time periods. The minerals olivine [(Mg,Fe)2 SiO4 ] and forsterite [Mg2 SiO4 ], containing up to 33.6 wt. % Mg, have the highest capacity to trap CO2 as magnesium carbonates, and a high rate of dissolution among rock-forming silicate minerals [16]. Formation of magnesite from forsterite, the Mg-end member of the olivine solid solution series, is thermodynamically favorable based on the negative Gibbs free energy of Reaction (1). 1{2Mg2 SiO4 ` CO2 ÑMgCO3 ` 1{2SiO2 ` 95 kJ{mol (Rx. 1) According to Lackner et al. [17] the chemical reactions in mineral carbonation process can be very slow under ambient conditions and, therefore, activation processes such as exposure to acid, heat [8], and water [18–21] have been used to accelerate the carbonation rate. These processes are tedious and require additional energy input, which has made acid/heating approach less attractive than some others. The rates of carbonation can be raised by increasing surface areas of the mineral or its intermediates and by elevating the temperatures, resulting in lower kinetic constraints [15,16,22–29]. Moreover, an in situ CO2 sequestration system with mineral carbonation can be treated as a fully-coupled problem between rock deformation, pore-fluid flow, heat transfer, mass transport, and chemical reaction processes. Three types of models are commonly employed in computational petroleum geoscience and engineering research methodologies. These approaches are geological/geochemical (conceptual), mathematical, and/or numerical simulation. The purpose of this study was to do ex situ (laboratory) studies of the factors affecting the rates of (forsterite) mineral carbonation (i.e., particle size, water vapor, and reaction temperature) in support of an in situ geochemical conceptual model. A transport reaction modeling software PHREEQC (version 2.18, US Geological Survey (USGS), Reston, WV, USA), was applied for simulating the chemical reactions and transport processes in the forsterite mineral carbonation process. Pre-treatment of forsterite in a quantitative equivalent of mineral acid (HCl), i.e., dissolution to neutrality, was taken as a suitably fast process (in extracting most of the Mg ion) for practical experimentation. One advantage of this process is that the formation of magnesium carbonate (MgCO3 ) releases heat, which can in principle be cycled back to other endothermic steps (see Reactions (2)–(4) in Section 3.3) through heat integration in a commercial process. 2. Results and Discussion 2.1. Mineral Characterization The elemental composition of the peridotite mineral was determined by XRF analysis as MgO (51.9%), SiO2 (41.1%) as major components with minor levels of FeO, Al2 O3 , Na2 O, K2 O, and CaO (see details in Table 1). Table 1. Chemical composition of fresh peridotite mineral (wt. %) as determined by XRF analysis. Al2 O3 0.204 CaO 0.061 FeO 5.969 MgO 51.921 K2 O SiO2 Na2 O Cr2 O3 Volatiles C + CO2 H2 O 0.005 41.072 0.083 0.034 <0.352 0.291 Mg 1.812 K 0.004 Si 0.995 Na 0.008 Cr - - Number of ions on the basis of O Al 0.001 Ca 0.004 Fe 0.161 Na 0.001 Molecules 2016, 21, 353 Molecules 2016, 21, 353 3 of 19 3 of 19 Molecules 2016, 21, 353 3 of 19 XRDanalysis analysisof ofthe theHCl-cleaned HCl-cleanedstarting startingmaterial material(Figure (Figure1)1)shows showsaacharacteristic characteristicpattern patternof of XRD ˝ ˝ ˝ ˝ ˝ ˝ ˝ olivine (2θ= = 11.8 11.8°,, 23.6 23.6°, 29.3°, some quartz olivine (2θ , 31.1°, 31.1 , 33.6°, 33.6 ,40.8°, 40.8 ,and and43.6°), 43.6 ),with with somecontamination by quartz XRD analysis of the, 29.3 HCl-cleaned starting material (Figure 1) shows acontamination characteristic by pattern ofor ˝ ˝ ˝ ˝ free silica (2θ = 20.9°, 26.5°, 50.5° and 68.7°). In view of the fairly low level of Fe and its own capacity orolivine free silica = 20.9 , 26.5 ). and In view of with the fairly level of Feby and its own (2θ =(2θ 11.8°, 23.6°, 29.3°,, 50.5 31.1°, and 33.6°,68.7 40.8°, 43.6°), some low contamination quartz orfor carbonation (as FeCO 3 ), modeling studies (vide infra) were based for simplicity on the pure forsterite capacity for(2θ carbonation (as FeCO studies (vide infra) were based simplicity on the pure free silica = 20.9°, 26.5°, 50.5° and 68.7°). In view of the fairly low level of Fefor and its own capacity for 3 ), modeling composition (MgFeCO 2SiO4(Mg Mg-end member of the olivine solid solution series. forsterite composition SiO ), the Mg-end member of the olivine solid solution series. carbonation (as 3), ), the modeling studies (vide infra) were based for simplicity on the pure forsterite 2 4 composition (Mg2SiO4), the Mg-end member of the olivine solid solution series. 8000 Olivine Quartz Olivine Quartz Intensity, Lin (CPS) Intensity, Lin (CPS) 8000 7000 7000 6000 6000 5000 5000 4000 4000 3000 3000 2000 2000 1000 1000 0 0 10 10 20 30 20 30 40 2 Theta - Scale 40 2 Theta - Scale 50 50 60 60 70 70 Figure1.1.XRD XRDpattern patternof ofthe thestarting startingperidotite peridotitemineral. mineral. Figure Figure 1. XRD pattern of the starting peridotite mineral. Morphological and andstructural structuralchanges changes inthe the olivine (nominal composition Mg1.84 0.16SiO4) at Morphological olivine composition Mg FeFe 1.84 0.16 SiO4 ) at Morphological and structural changesinand in the olivine(nominal (nominal composition Mg 1.84Fe0.16SiO4) at various stages during chemical pretreatment carbonation, viz., after leaching in HCl, neutralization various stages pretreatment viz., after after leaching leachingin inHCl, HCl,neutralization neutralization various stagesduring duringchemical chemical pretreatmentand andcarbonation, carbonation, viz., 2+ [as Mg(OH) and precipitation of Mg 2], and exposure to humid CO2 at 4.8 bar and 150˝°C, are best 2+ and ], and and exposure exposure to to humid humid CO CO22atat4.8 4.8bar barand and150 150°C,C,are arebest best andprecipitation precipitationofofMg Mg2+ [as [as Mg(OH) Mg(OH)22], seenby bySEM SEMmicrographs micrographsand andpowder powderXRD XRDininFigures Figures22and and33, respectively. seen respectively. seen by SEM micrographs and powder XRD in Figures 2 and 3, respectively. BySEM, SEM, thefresh fresh olivinesample sample (Figure2a) 2a) consistedtypically typicallyofofpolycrystalline polycrystallinegrains grainsin inthe the By By SEM,the the fresholivine olivine sample(Figure (Figure 2a) consisted consisted typically of polycrystalline grains in the millimetersize size range.After After acidleaching leaching andneutralization neutralizationof ofthe thesieved sievedfraction fraction<75 <75 µm µm(Figure (Figure2b), 2b), millimeter millimeter sizerange. range. Afteracid acid leaching and and neutralization of the sieved fraction <75 µm (Figure 2b), the grains became finer (<5 µm) and the structure more amorphous. In agreement with the findings of the Inagreement agreementwith withthe thefindings findingsofof thegrains grainsbecame becamefiner finer(<5 (<5µm) µm)and andthe the structure structure more more amorphous. amorphous. In Bearatetetal. al. [30]and and Kwonetetal. al. [18],this this islikely likely due to anamorphous amorphousSiO SiO2residue residueafter afterleaching, leaching,any any Bearat Bearat et al.[30] [30] andKwon Kwon et al.[18], [18], thisis is likely due to an amorphous SiO22residue after leaching, any (hexagonal) brucite likely being nanocrystalline. Under humid CO 2, the development of polyhedral and (hexagonal) beingnanocrystalline. nanocrystalline.Under Under humid the development of polyhedral (hexagonal)brucite brucitelikely likely being humid COCO 2, the of polyhedral and 2 , development more sheet-like crystallites (Figure 2c)2c)was evident, probably representing (hydrated) magnesium magnesium and more sheet-like crystallites (Figure was evident, probably representing (hydrated) more sheet-like crystallites (Figure 2c) was evident, probably representing (hydrated) magnesium carbonate, and finally (Figure 2d),the therhombohedral rhombohedralhabit habittypical typicalof ofmagnesite magnesite(MgCO (MgCO 3) was evident. carbonate, of magnesite (MgCO ) wasevident. evident. carbonate,and andfinally finally(Figure (Figure2d), 2d), the rhombohedral 3) was 3 Figure2.2. 2.SEM SEMimages images showing showing (a) (a) the fresh olivine mineral, Figure SEM images showing (a) the thefresh fresholivine olivinemineral, mineral,and andmorphological morphologicalchanges changesduring during Figure and morphological changes during chemical pretreatment and carbonation: (b) the leached/neutralized sample in the presence of humid chemical pretreatment and carbonation: (b) the leached/neutralized sample in the presence of humid chemical pretreatment and carbonation: (b) the leached/neutralized sample in the presence of humid 2 at 150˝ °C during 15 min; (c) 90 min; and (d) 120 min. CO at150 150 °C during 15 15 min; min; (c) (c) 90 90min; min;and and(d) (d)120 120min. min. CO22at CO C during (chemically un-pretreated) mineral, for which evidence has been reported elsewhere [31]. The abundance of quartz (as co-product) cannot be taken as a reliable indicator of the progress of carbonation because it is also a phase contaminant in the original mineral (see Figure 1). Furthermore, similar chemical treatment (flux extraction of Mg2+) from serpentinites did not produce quartz but instead a silica residue 2016, of unusual Molecules 21, 353 structure [27]. The unsystematic peak intensity of quartz seen here by XRD4 may of 19 be due merely to local inhomogeneity in the samples. M: Magnesite HM: Hydromagnesite Ol: Olivine B: Brucite Q: Quartz Ol Intensity, Lin (CPS) Q HM B Q Q B 20 M B M (a) HM M Q 10 B 30 (b) M M 40 M 50 (c) 60 2 Theta - degree Figure 3. 3. XRD olivine mineral mineral during during progressive progressive Figure XRD patterns patterns showing showing structural structural changes changes in in the the olivine carbonation: (a) (a) after and initial initial exposure exposure of of the the damp damp residue residue to to humid humid carbonation: after acid acid leaching, leaching, neutralization, neutralization, and 2 (PCO2 = 4.8 bar, T = 150 °C) during 15 min; (b) after 90 min; and (c) after 120 min. CO ˝ CO2 (PCO2 = 4.8 bar, T = 150 C) during 15 min; (b) after 90 min; and (c) after 120 min. 2.2. Effect of Particle size on the Carbonation of Olivine Figure 3 shows XRD data obtained after the same stages of treatment in parallel with the leaching rate was found be much slower than the optimalolivine carbonation rate (achievable at SEM The analyses. Diffractogram 3atoreveals that although unreacted (Mg1.84 Fe0.16 SiO4 main ˝ 175 °C vide infra), such that the production of magnesite in these experiments reflects mainly variations reflection at 2θ = 11.8 ) is predominant after only 15 min exposure to humid CO2 , hydromagnesite 2+ ion ˝ ) and in the= rate of 2extraction of soluble by acid treatment. Figure 4 shows that (HM Mg5and (CO3efficiency )4 (OH)2 ‚4H O main reflection at 2θMg = 31.3 a little magnesite (M = MgCO 3 main 2+ leaching to ˝ decreasing the grain size from >200 µm to <75 µm caused the limiting degree of Mg reflection at 2θ = 43.15 ), had already formed from brucite [Mg(OH)2 ] precursor, itself created in the increase from 35% to 99%, respectively. It exposure is well-known intuitively obvious that the rate leaching/neutralization stage. At longer timesand (Figure 3b,c), reflections due toreaction brucite and ˝ ˝ ˝ and carbonation were degree can be raised by increasing surface area, e.g., by ,grinding/sieving, as hydromagnesite progressively replaced by those the of magnesite (2θ = 32.25 43.15 , 54.25 ). The shown for example by Garcia et al. [32]. In this work, the smallest particle size (d < 75 µm) is the only ultimate disappearance of olivine is intriguing since it implies direct steam-activated carbonation onethe offering the prospect of full leaching in a practical time. a rule of thumb, 1–2 h for a of (chemically un-pretreated) mineral,(99%) for which evidence hasAs been reported elsewhere [31]. terrestrial (ex-situ) to achieve >90%cannot conversion is taken as a realistic practical target to limit The abundance of process quartz (as co-product) be taken as a reliable indicator of the progress of the scale (and associated costs) of anycontaminant future installation for CO2 mineral sequestration. This 1). particle cut and carbonation because it is also a phase in the original (see Figure Furthermore, 2+ leachingchemical procedure (2 h at 60 °C)extraction were therefore standard fordid allnot samples in subsequent similar treatment (flux of Mgapplied ) fromas serpentinites produce quartz but tests described below. instead a silica residue of unusual structure [27]. The unsystematic peak intensity of quartz seen here by XRD may be due merely to local inhomogeneity in the samples. 2.2. Effect of Particle Size on the Carbonation of Olivine The leaching rate was found to be much slower than the optimal carbonation rate (achievable at 175 ˝ C vide infra), such that the production of magnesite in these experiments reflects mainly variations in the rate and efficiency of extraction of soluble Mg2+ ion by acid treatment. Figure 4 shows that decreasing the grain size from >200 µm to <75 µm caused the limiting degree of Mg2+ leaching to increase from 35% to 99%, respectively. It is well-known and intuitively obvious that the reaction rate and carbonation degree can be raised by increasing the surface area, e.g., by grinding/sieving, as shown for example by Garcia et al. [32]. In this work, the smallest particle size (d < 75 µm) is the only one offering the prospect of full leaching (99%) in a practical time. As a rule of thumb, 1–2 h for a terrestrial (ex-situ) process to achieve >90% conversion is taken as a realistic practical target to limit the scale (and associated costs) of any future installation for CO2 sequestration. This particle cut and leaching procedure (2 h at 60 ˝ C) were therefore applied as standard for all samples in subsequent tests described below. Molecules 2016, 21, 353 5 of 19 Molecules 2016, 21, 353 5 of 19 Mg-leaching (%) Mg-leaching (%) 5 of 19 Effect of particle size on CO2 uptake and Mg-leaching 100 1 99 90 100 80 90 70 80 60 70 50 60 40 50 30 40 20 30 10 20 0 10 0 0 0 Effect of particle size on CO2 uptake and Mg-leaching 99 64.83 64.83 43.01 35 43.01 35 15 30 15 <75 µm 30 45 60 75 90 Time (min.) 75-125 µm 45 60 75125-20090µm 105 120 µm 105>200120 0.9 1 0.8 0.9 0.7 0.8 0.6 0.7 0.5 0.6 0.4 0.5 0.3 0.4 0.2 0.3 0.1 0.2 0 0.1 CO2 input CO(mol/g) 2 input (mol/g) Molecules 2016, 21, 353 0 Time (min.) Figure 4. Effect of particle size<75 onµmMg2+2+ leaching a range as measured by the 75-125 µm over125-200 µm of time >200intervals µm Figure 4. Effect of particle size on Mg leaching over a range of time intervals as measured by the volume of CO2 uptake in the subsequent mineral carbonation process (at 175 °C and 2 h). ˝ volume in thesize subsequent mineral carbonation 175 Casand 2 h). by the 2 uptake Figureof4.CO Effect of particle on Mg2+ leaching over a rangeprocess of time (at intervals measured volume of CO2 uptakeon inthe theCarbonation subsequent mineral carbonation process (at 175 °C and 2 h). 2.3. Effect of Temperature of Olivine Mg2+ conversion (%) Mg2+ conversion (%) to magnesite (carbonation yield) yield) to magnesite (carbonation 2.3. Effect of Temperature on the Carbonation of Olivine The temperature of the of carbonation process was studied over the interval from 2.3. Effect of Temperaturedependence on the Carbonation Olivine The temperature dependence of the carbonation process studiedafter overstandard the interval from ambient to 175 °C. The effect of temperature on the amount of Mgwas conversion leaching ˝ C. Thedependence The temperature of the carbonation process was studied over the interval from ambient to 175 effect of temperature on the amount of Mg conversion after standard treatment (99% extraction) is illustrated in Figure 5. As expected, the temperature had an important ambient to the 175 °C. The effect of temperature on the amount Mg conversion after standard leaching leaching treatment (99% extraction) is illustrated in Figure 5. extraction As expected, the temperature effect on mineral carbonation process consisting of of Mg and subsequent MgCOhad 3 treatment (99% extraction) is illustrated in Figure 5. As expected, the temperature had an important an precipitation. important effect on the mineral carbonation process of Mg extraction subsequent The amount of Mg converted at the desiredconsisting temperatures was measuredand continuously effect on the The mineral carbonation process consisting of the Mgdesired extraction and subsequent MgCO MgCO The amount of Mg converted at temperatures was measured several times. maximum extent of carbonation of (99%) was attained at temperatures in excess of3 3 precipitation. precipitation. The amount of converted at theof desired temperatures measured continuously 150 °C. Theseveral quantification ofMg the MgCO3 formed in the mineral carbonation was carried out continuously times. The maximum extent carbonation of (99%)was wasprocess attained at temperatures several times. The maximum extent of carbonation of (99%) was attained at temperatures in excess of ˝ by titration against HClquantification at room temperature. Pokrovsky et al.in [33] that the dissolution in excess of 150 C. The of the MgCO thedemonstrated mineral carbonation process was 3 formed 150 °C. The quantification of the MgCO 3 formed in the mineral carbonation process was carried out rate ofout magnesite at 150 °C is lower at 25temperature. °C whereas the rates at 100 150 demonstrated °C in acidic solutions carried by titration against HCl than at room Pokrovsky et and al. [33] that the by against HCl room temperature. Pokrovsky et al. [33] demonstrated that the dissolution ˝C aretitration almostrate the same [34],atsuggesting strong decrease activation energy above 100 °C.˝ C dissolution of magnesite at 150 a˝ C is lower thanofatthe 25apparent whereas the rates at 100 and 150 rate of magnesite at 150 °C is lower than at 25 °C whereas the rates at 100 and 150 °C in acidic solutions According to Saldi et al. [34] the tendency for dissolution rates of MgCO 3 to decrease with increasing in acidic solutions are almost the same [34], suggesting a strong decrease of the apparent activation are almost thecould samebenefit [34], suggesting a strong decrease of the apparent activation energy above 100 °C. temperature CO2 sequestration making magnesite more resistant toof dissolution energy above 100 ˝ C. According to Saldi et efforts al. [34]by the tendency for dissolution rates MgCO3 to According to Saldi et al. [34] the tendency for dissolution rates of MgCO 3 to decrease with increasing in deeper strata, thus preserving the petrophysical integrity of deep carbonate-rich decrease with(hotter) increasing temperature could efforts benefit efforts by making magnesite 2 sequestration temperature could benefit CO2 sequestration byCO making magnesite more resistant to dissolution confining reservoirs. more resistant to dissolution in deeper (hotter) strata, thus preserving the petrophysical integrity in deeper (hotter) strata, thus preserving the petrophysical integrity of deep carbonate-rich of deep carbonate-rich confining reservoirs. confining reservoirs. 100 Effect of temperature on mineral carbonation 95 98.5 Effect of temperature on mineral carbonation 95 100 98.5 95 87 90 95 84 85 80 87 90 78 84 80 75 85 80 72 75 78 70 80 75 67 70 65 72 75 70 65 67 70 25 50 75 100 125 150 65 Temperature (°C) 65 25 50 75 100 125 150 Temperature (°C) 99 99 175 175 Figure 5. The effect of reaction temperature in gas-solid carbonation of fully extracted Mg2+ ion (as Mg(OH)2) to yield MgCO3 (PCO2 = 4.8 bar, humid CO2, t = 2 h). 2+ ion Figure 5. The effect of reaction temperature in gas-solid carbonation of fully extracted Mg Figure 5. The effect of reaction temperature in gas-solid carbonation of fully extracted Mg2+ ion (as (as Mg(OH)2) to yield MgCO3 (PCO2 = 4.8 bar, humid CO2, t = 2 h). Mg(OH)2 ) to yield MgCO3 (PCO2 = 4.8 bar, humid CO2 , t = 2 h). Molecules 2016, 21, 353 6 of 19 It is clear from Figure 5 that several competing factors in the carbonation process reach equilibrium in the temperature range between 150 and 175 ˝ C. Probably the key factor is the relative humidity (RH). Previous work has shown that carbonation accelerates on cooling below 200 ˝ C in a fixed partial pressure of steam or RH ě 20% [35]. Since the presence of liquid water has been shown to be important, it can also be argued that the effect of temperature on the solubility of CO2 may influence the carbonation rate. Chen et al. [36] indicated that increasing temperature from 25 ˝ C to 150 ˝ C generally helps the precipitation of magnesite. The carbonate solubility product (Ksp ), Henry’s constant (KH ), and the first- and second-order dissociation constants of carbonic acid (Ka1 , Ka2 ) are all functions of temperature. Increasing the reaction temperature decreases the value of Ksp and increases the KH value, which lowers the amount of CO2 gas in solution at a given pressure. The dissociation constants of carbonic acid (Ka1 and Ka2 ) are also increased by increasing temperature and promoting solution speciation and carbonation. Thus, increasing temperature has conflicting effects, lowering the level of dissolved CO2 gas via its effect on KH but promoting magnesite precipitation via effects on Ka1 , Ka2 , and Ksp . Furthermore, temperature impacts on the kinetics of magnesite precipitation [37] and also affects the type of Mg-carbonate formed. It is well-known that magnesite precipitation kinetics at ambient temperatures are exceedingly slow, and that metastable hydrated carbonates such as hydromagnesite, dypingite, and nesquehonite almost invariably form instead. 2.4. Effect of Water Concentration Formal carbonation of forsterite [Reaction (1)] does not involve water molecules explicitly, so any beneficial effect of added water is clearly a kinetic effect. As shown in Figure 6, an indication of the importance of water is seen in the modest level of CO2 removal in its absence. By analogy with recent works on brucite and serpentinites, almost regardless of the CO2 pressure utilized, the presence of water vapor in high relative humidity appears crucial to obtaining practical carbonation rates [20,31,38], evidently by establishing a highly polar thin-film aqueous overlayer that facilitates CO2 ingress into the bulk particle. This is supported by independent studies simulating in situ or geochemical carbon sequestration where CO2 was assumed to be in the supercritical state. Felmy et al. [39] studied high-surface-area forsterite in the presence of water-saturated scCO2 . They concluded that the nature of the water in contact with the reacting surface is a key factor in the enhanced magnesite formation. When excess water was added to the forsterite particles, a thin water film was formed on the forsterite surface promoting magnesite formation. Loring et al. [40] declared that this water film provides a distinctive situation for the magnesite formation by decreasing the effective Mg2+ dehydration energy and simplifying the transformation of nesquehonite to magnesite. Otherwise, the presence of liquid water can allow the formation of magnesium bicarbonate in solution that decomposes upon drying to magnesium carbonate. Moreover, Schaef et al. [41,42] revealed that the addition of water to the saturated system noticeably increases the rate of mineral carbonation, facilitating the overall conversion of nesquehonite to magnesite. No evidence of further carbonation was observed under unsaturated conditions below 50 ˝ C. A similar promoting effect of water on brucite carbonation under scCO2 was reported by Loring et al. [43] using in situ Fourier-Transform Infrared (FTIR) spectroscopic experiments. To investigate the effect of humidity, the concentration of water vapor was set at various levels, 5, 10, and 20 vol % prior to carbonation of the brucite extract at 175 ˝ C. As illustrated in Figure 6, above 5 vol % steam, the degree of carbonation increases by almost double in the presence of water vapor such that within 5 min, complete removal of CO2 (15 vol %) was achieved. However, levels of water vapor exceeding 20 vol % had no additional effect on the rate of removal of CO2 . It can be concluded that water vapor is able to solvate CO2 , generate carbonate ions and protons [44], and increase the carbonation degree of Mg(OH)2 as derived from olivine. Moreover, the aforementioned modest uptake of CO2 (~7 vol %) under “dry” conditions may be due to adventitious water not fully removed from the Mg(OH)2 -containing residue. Vitillo [45] declared that in the presence of water vapor, MgCO3 crystalline phase reappeared increasingly, while the magnesium oxide periclase (MgO) phase gradually disappeared. These observations are well in agreement with the thermodynamic Molecules 2016, 21, 353 Molecules 2016, 21, 353 7 of 19 7 of 19 data on MgO, Mg(OH)2 , and MgCO3 systems. The promoting effect of water may be attributed to faster reaction kinetics by offering alternative to magnesite via hydrocarbonate intermediates reaction kinetics by offering alternative routesroutes to magnesite via hydrocarbonate intermediates such such as dypingite. as dypingite. Figure 6. 6. Effect Effect of of the the presence presence or or absence absence of of water water vapor vapor on on the the rate rate of ofCO CO2 absorption absorption at at 175 175 ˝°C on Figure C on 2 2SiO4 (d < 75 µm) activated by chemical pre-treatment and exposed to 0.5 L/min CO2 gas 10 g Mg 10 g Mg2 SiO4 (d < 75 µm) activated by chemical pre-treatment and exposed to 0.5 L/min CO2 gas bar, PH2O = 1.6–6.4 bar or 18%–72% RH). (PCO2 ==4.8 (P CO2 4.8 bar, PH2O = 1.6–6.4 bar or 18%–72% RH). As a comparison to related work on Mg(OH)2 in the literature, Siriwardane and Stevens [46] As a comparison to related work on Mg(OH)2 in the literature, Siriwardane and Stevens [46] reported good absorption kinetics and reasonable capacity for CO2 in plug-flow reactor experiments reported good absorption kinetics and reasonable capacity for CO2 in plug-flow reactor experiments over a promoted brucite (~3 mol CO2/kg or 20 mol %) in “moist” helium at 200 °C. However, the over a promoted brucite (~3 mol CO2 /kg or 20 mol %) in “moist” helium at 200 ˝ C. However, the promotional effect of water per se was not explored and the sorbent surface area was low (~2.5 m2·g−1). promotional effect of water per se was not explored and the sorbent surface area was low (~2.5 m2 ¨ g´1 ). This compares with our thermogravimetric work [38] showing that Mg(OH)2 extracted from the This compares with our thermogravimetric work [38] showing that Mg(OH) extracted from the 2·g−1). These are 2evidently important mineral is typically obtained in high-surface-area form (~25 m 2 ´ mineral is typically obtained in high-surface-area form (~25 m ¨ g 1 ). These are evidently important factors in attainment of almost quantitative (~100%) carbonation at lower temperature (150–175 °C) factors in attainment of almost quantitative (~100%) carbonation at lower temperature (150–175 ˝ C) in in this work, specifically the higher water levels utilized and the better dispersion of brucite derived this work, specifically the higher water levels utilized and the better dispersion of brucite derived from from the mineral. Based on the thermodynamic equilibrium of Mg(OH)2 formation from MgO, the mineral. Based on the thermodynamic equilibrium of Mg(OH)2 formation from MgO, Siriwardane Siriwardane and Stevens [46] showed that is likely to form Mg(OH)2 under the high steam environment, and Stevens [46] showed that is likely to form Mg(OH)2 under the high steam environment, which which accounts for the subsequent CO2 uptake. It is important to note that the Mg(OH)2 system has the accounts for the subsequent CO2 uptake. It is important to note that the Mg(OH)2 system has the far far lower heat of sorption. This confirms that the regeneration heat (input) needed to displace CO2 from lower heat of sorption. This confirms that the regeneration heat (input) needed to displace CO2 from MgCO3 by water (to form Mg(OH)2) is significantly lower than that required for the decomposition of MgCO3 by water (to form Mg(OH)2 ) is significantly lower than that required for the decomposition of MgCO3 (to MgO + CO2). MgCO3 (to MgO + CO2 ). 2.5. Kinetic Analysis of Mg Extraction by HCl 2.5. Kinetic Analysis of Mg Extraction by HCl Different kinetic analyses including expressions for product layer diffusion, film diffusion, chemical Different kinetic analyses including expressions for product layer diffusion, film diffusion, reaction control, and a combination of chemical reaction control (Equations (4)–(7), respectively, in chemical reaction control, and a combination of chemical reaction control (Equations (4)–(7), Section 3.5), were used to evaluate the integral rate data. The extent of forsterite dissolution, XE, is respectively, in Section 3.5), were used to evaluate the integral rate data. The extent of forsterite taken as fitting parameter but this is actually measured from the amount of magnesite, i.e., the extent dissolution, XE , is taken as fitting parameter but this is actually measured from the amount of of carbonation (= RCO2 in Equation (2)), because dissolution is much slower than carbonation (of the magnesite, i.e., the extent of carbonation (= RCO2 in Equation (2)), because dissolution is much slower Mg(OH)2 extract). Direct carbonation of unreacted forsterite is probably even slower. Thus, dissolution is rate-determining in the overall process. The two best-fit results are illustrated in Figure 7a,b, but the first, a combination of chemical reaction control and product layer diffusion (Equation (7)) provided Molecules 2016, 21, 353 8 of 19 than carbonation (of the Mg(OH)2 extract). Direct carbonation of unreacted forsterite is probably even slower. Thus, dissolution is rate-determining in the overall process. The two best-fit results are illustrated in Figure 7a,b, but the first, a combination of chemical reaction control and product layer Molecules 2016, 21, 353 8 of 19 diffusion (Equation (7)) provided the highest correspondence with the measured data. Thus, it can be concluded a combination of chemical reaction control product layer diffusion is rate-limiting the highestthat correspondence with the measured data. Thus,and it can be concluded that a combination of for Mg extraction. chemical reaction control and product layer diffusion is rate-limiting for Mg extraction. Combination of chemical reaction control and product layer diffusion 0.8 a 175 °C 0.7 y = 9E-05x + 0.0243 R² = 0.9955 125 °C 0.6 75 °C 0.5 25 °C y = 5E-05x + 0.0135 R² = 0.9925 0.4 0.3 y = 3E-05x + 0.0101 R² = 0.983 0.2 0.1 y = 1E-05x + 0.0028 R² = 0.9823 0 0 2000 4000 Time (s) 6000 8000 0.8 b 175 °C The product layer diffusion 0.7 y = 9E-05x + 0.063 R² = 0.9756 125 °C 0.6 75 °C 0.5 25 °C 0.4 y = 4E-05x + 0.0244 R² = 0.9716 0.3 y = 2E-05x + 0.0153 R² = 0.9714 0.2 0.1 y = 1E-05x - 0.0014 R² = 0.9703 0 0 2000 4000 6000 8000 Time (s) Figure 7. 7. Kinetic of olivine olivine dissolution dissolution rate rate (in (in HCl) HCl) by by plotting plotting the the combination combination of of chemical chemical Figure Kinetic analysis analysis of reaction control and product layer diffusion (a) and the product layer diffusion (b) vs. time at various reaction control and product layer diffusion (a) and the product layer diffusion (b) vs. time at various reaction temperatures. temperatures. reaction Activation energies (Ea) for mineral dissolution were determined from simple log/log plots of Activation energies (E ) for mineral dissolution were determined from simple log/log plots of the the time-independent ratea k at various temperatures. These values are presented in Table 2, from time-independent rate k at various temperatures. These values are presented in Table 2, from which which the Arrhenius plots shown in Figure 8 were obtained. Once again, the quality of fit was best the Arrhenius plots shown in Figure 8 were obtained. Once again, the quality2 of fit was best for the for the combination of product layer diffusion and chemical reaction control (R = 0.9917) as compared combination of product layer diffusion and chemical reaction control (R2 = 0.9917) as compared to to product layer diffusion only (R = 0.9764). Considering these models as the controlling mechanisms product layer diffusion only (R = 0.9764). Considering these models as the controlling mechanisms during the dissolution of forsterite, the Ea value was 15.5 kJ/mol for product layer diffusion control, and during the dissolution of forsterite, the Ea value was 15.5 kJ/mol for product layer diffusion control, 16.0 kJ/mol for the combination of product layer diffusion and chemical reaction control. It is likely that and 16.0 kJ/mol for the combination of product layer diffusion and chemical reaction control. It is likely the chemical reaction is initially rate-limiting but product layer diffusion gradually becomes rate limiting as the product layer of silica builds up and the unreacted surface area decreases. According to Gharabaghi et al. [47] a low value of Ea indicates that product layer diffusion is rate-controlling, Therefore, considering the values of multiple regression coefficients for different models and calculated Ea for two selected models, it could be concluded that the dissolution rates of forsterite are kinetically regulated by the combination of chemical reaction control and product layer diffusion. Molecules 2016, 21, 353 9 of 19 that the chemical reaction is initially rate-limiting but product layer diffusion gradually becomes rate limiting as the product layer of silica builds up and the unreacted surface area decreases. According to Gharabaghi et al. [47] a low value of Ea indicates that product layer diffusion is rate-controlling, Therefore, considering the values of multiple regression coefficients for different models and calculated Ea for two selected models, it could be concluded that the dissolution rates of forsterite are kinetically regulated by the combination of chemical reaction control and product layer diffusion. Molecules 2016, 21, 353 Table 2. The rate constant calculation for every experiment at different temperatures. 9 of 19 Table 2. The rate constant calculation for every experiment at different temperatures. k ln k T (˝ C) T (K) 1/T ln k T (°C) T (K) 1/T k ´5 ´9.313 175 175 448.15 448.15 9.0243 −5 10 9.0243 × 10ˆ −9.313 0.002230.00223 ´5 Combination of chemical Combination of chemical reactionreaction control and ´9.9007 125 398.15 0.00251 5.0135 ˆ 10 5.0135 × 10−5 ´5−9.9007 125 398.15 0.00251 productcontrol layer diffusion and product layer ´10.4109 75 348.15 0.00287 3.0101 ˆ 10 3.0101 × 10−5 ´5 −10.4109 75 348.15 0.00287 ´11.5101 25 298.15 0.00335 1.0028 ˆ 10 diffusion 1.0028 × 10−5 −11.5101 25 298.15 0.00335 ´5 ´9.3086 175 175 448.15 448.15 9.0635 −5 10 −9.3086 9.0635 × 10ˆ 0.002230.00223 ´5 ´10.1205 125 398.15 4.0244 ˆ 10 −5 4.0244 × 10 −10.1205 125 398.15 0.002510.00251 Product layer diffusion ´5 Product layer diffusion 75 348.15 ´10.8121 2.0153 ˆ 10 −5 2.0153 × 10 −10.8121 75 348.15 0.002870.00287 25 298.15 0.00335 1.0014 ˆ 10´5 ´11.5115 −5 1.0014 × 10 −11.5115 25 298.15 0.00335 ln k Kinetic Analysis Kinetic Analysis -9.2 -9.4 -9.6 -9.8 -10 -10.2 -10.4 -10.6 -10.8 -11 -11.2 -11.4 -11.6 -11.8 Combination of chemical reaction control and product layer diffusion Product layer Diffusion y = -1.9199x - 5.0231 R² = 0.9917 y = -1.9266x - 5.1592 R² = 0.9764 2.15 2.3 2.45 2.6 2.75 2.9 1/T (×10-3) 3.05 3.2 3.35 3.5 Figure 8. The Arrhenius plots for the extraction of Mg from forsterite using two selected models of the Figure 8. The Arrhenius plots for the extraction of Mg from forsterite using two selected models of the combination of product layer diffusion and chemical reaction control and the product layer diffusion. combination of product layer diffusion and chemical reaction control and the product layer diffusion. The rate constants generated in this study on forsterite are faster than corresponding rate constants reported generated by Pokrovsky andstudy Schotton[48], who only worked at the temperature rate of 25constants °C. The rate constants in this forsterite are faster than corresponding ˝ Comparison of photomicrographs showing the surface of forsterite presented by Pokrovsky and reported by Pokrovsky and Schott [48], who only worked at the temperature of 25 C. Comparison of Schott [48] and the samples from this study (see Figure 2) demonstrates they consist euhedral photomicrographs showing the surface of forsterite presented by Pokrovsky and of Schott [48]and and the larger crystals due to small adhering particles and their agglomeration in acid solution at the samples from this study (see Figure 2) demonstrates they consist of euhedral and larger crystals due to temperature of 25 °C. In the present study, the rate constants are increased because of the far higher small adhering particles and their agglomeration in acid solution at the temperature of 25 ˝ C. In the density of activated sites per unit surface area at higher temperatures. present study, the rate constants are increased because of the far higher density of activated sites per unit surface area at higher temperatures. 2.6. Thermodynamic Considerations on the Mineral Carbonation As regardsConsiderations the effect of temperature on Carbonation the system, two physical mechanisms interact; the 2.6. Thermodynamic on the Mineral increase of olivine solubility with temperature and, conversely, the reduction of magnesite solubility As regards the effect of temperature on thewas system, two by physical mechanisms increase with increasing temperature. Heat treatment reported O’Connor et al. [49] tointeract; remove the sorbed water solubility and activatewith the mineral surface.and, Theyconversely, suggested that carbonation phase occurssolubility quickly in with of olivine temperature thethe reduction of magnesite the olivine powders Heat at high temperatures, from which we expectet an increase in the sorbed availablewater increasing temperature. treatment was reported by O’Connor al. [49] to remove reactivitythe of mineral with removal of sorbed water and CO2 uptake by the mineral surfacein the and activate mineralsurface surface. They suggested that the carbonation phase occurs quickly and, therefore, more rapid reaction. olivine powders at high temperatures, from which we expect an increase in the available reactivity of Additionally, elevated temperature causes an increase of the olivine dissolution rate, which enhances the overall reaction kinetics. Our results concur with this (see Figure 5) up to the maximum temperature studied (175 °C). The lowest CO2 concentration considered was 0.5% (volume fraction of CO2 unconsumed) indicating olivine samples have efficiently precipitated CO2 as carbonate phase, which is in agreement with the findings of Kwon et al. [18]. Interestingly, the CO2 sequestration capacity of olivine mineral seen here over the temperature range of 150–175 °C was higher than in previous Molecules 2016, 21, 353 10 of 19 mineral surface with removal of sorbed water and CO2 uptake by the mineral surface and, therefore, more rapid reaction. Additionally, elevated temperature causes an increase of the olivine dissolution rate, which enhances the overall reaction kinetics. Our results concur with this (see Figure 5) up to the maximum temperature studied (175 ˝ C). The lowest CO2 concentration considered was 0.5% (volume fraction of CO2 unconsumed) indicating olivine samples have efficiently precipitated CO2 as carbonate phase, which is in agreement with the findings of Kwon et al. [18]. Interestingly, the CO2 sequestration capacity of olivine mineral seen here over the temperature range of 150–175 ˝ C was higher than in previous studies [50–55]. We tentatively suggest that this effect is due to either an increase of the available surface area or available moisture (or a combination of both factors). At the highest temperatures, (e.g., the range of 150–175 ˝ C), Hänchen et al. [56] suggest the olivine samples released more Mg into the solution, which seems a reasonable assumption to adopt here and is confirmed by the calculation shown below. At lower temperatures (less than 100 ˝ C), King et al. [12] found that MgCO3 precipitation was kinetically hindered due to the high activation energy for the de-solvation of the strongly hydrated Mg2+ ions (Reaction (2)). According to Hänchen et al. [57] during low temperature experiments, hydromagnesite [Mg5 (CO3 )4 (OH)2 ‚4H2 O] was precipitated from the solution (Reaction (3)) instead of magnesite (MgCO3 ). When the temperature was increased (up to 125 ˝ C), hydromagnesite was transformed to MgCO3 albeit slowly (more than 15 h). Mg2 SiO4 (sol) ` 2CO2 (gas) ` 2H2 O (liq.) Ñ2 MgCO3 (sol) ` H4 SiO4 (aq.) 5Mg2 SiO4 (sol) ` 8CO2 (gas) ` 20H2 O (liq.) Ñ2r4MgCO3 ‚MgpOHq2 ‚4H2 Os (sol q ` 5H4 SiO4 (aq.) (Rx. 2) (Rx. 3) The work of Hänchen et al. [57] is intriguing, as we found the evidence of hydromagnesite formation in our samples, suggesting that this phase may be as a metastable “intermediate” phase [38] with respect to magnesite, but kinetically favored as a first reaction product under certain conditions (e.g., at low temperature conditions). 2.7. Geochemical Modeling Equilibrium simulations were performed using PHREEQC (version 2.18—Parkhurst and Appello [58] with data from the Lawrence Livermore National Laboratory (LLNL, Livermore, CA, USA, supplied with the code). The first, very simple calculations examined the saturation state of a solution (initially pure water) when equilibrated with either magnesite, or both magnesite and carbon dioxide gas. Figure 9 shows the saturation index of both solutions with respect to magnesium phases which could be formed from the elements in the simulated system. In each case, the solutions suggest saturation with brucite, Mg(OH)2 , would be reached above 25 ˝ C, so the simulations were repeated, but allowing brucite to precipitate when it would otherwise be oversaturated at ambient pressure and it is these conditions which are shown in Figure 9. It is interesting to note that the solution remains undersaturated with respect to hydromagnesite at all temperatures and the influence of CO2 saturation is negligible. This reinforces the view that hydromagnesite is an artifact of rapid precipitation, i.e., a process under kinetic control, in preference to magnesite (in line with experiments by Konigsberger et al. [59] and Power et al. [60]), which, under equilibrium conditions, is the dominant magnesium-bearing phase. Secondly, attempts were made to simulate the reaction of CO2 gas with forsterite in the presence of water, with and without varying amounts of HCl. These results also suggest considerable disequilibrium, in that magnesite would not be the dominant “sink” for magnesium in the presence of the silicate ions liberated from forsterite dissolution. Examination of the saturation state of solutions in which CO2 was sequentially added to forsterite-water mixtures, always suggested a greater tendency for sepiolite precipitation, in preference to magnesite. Over the temperature interval 1 to 175 ˝ C, CO2 gas was sequentially “reacted” (numerically) with an excess of forsterite in the presence of water and these simulations were repeated in the presence of HCl to represent any carry-over of the acid from Molecules 2016, 21, 353 11 of 19 the previous processing step. Although we recognize that the presence of hydrochloric acid has little influence on the thermodynamic equilibrium position, it has a major role in promoting a rapid increase in the forsterite dissolution kinetics, so it was considered here. In all cases, thermodynamic equilibrium was only reached when sepiolite was allowed to precipitate, which effectively prevented magnesite formation. No evidence of other phases being important in these reactions was seen and the influence of residual HCl was negligible. Molecules 2016, 21, 353 11 of 19 Saturation state of solution equilibrated with magnesite and CO2 1.0 -2.0 pH 10.6 -3.0 -4.0 -5.0 Brucite saturation -1.0 Equilibrium with magnesite only Saturation indices of solution with respect to magnesium phases 0.0 pH 9.7 pH 8.2 pH 8.9 Magnesite Hydromagnesite Brucite Artinite CO2(g) -6.0 -7.0 -8.0 0 25 50 75 100 125 150 175 Temperature / Degrees celsius Figure 9. Saturation state of a solution equilibrated with magnesite and carbon dioxide gas (PCO2 = 4.8 Figure 9. Saturation state of a solution equilibrated with magnesite and carbon dioxide gas bar), allowing brucite to precipitate above 25 °C. (PCO2 = 4.8 bar), allowing brucite to precipitate above 25 ˝ C. Experimentally, no evidence of sepiolite formation was seen and magnesite certainly dominates the solid phase assemblage afterof carbonation this workwas and in the and previous studies certainly cited above. Our Experimentally, no evidence sepiolite in formation seen magnesite dominates observations are that forsterite dissolves andinmagnesite silica precipitate as reaction the solid phase assemblage after carbonation this workand andamorphous in the previous studies cited above. Our products are (see that Figures 2 and 3).dissolves Experimental on theand stability of sepiolite haveprecipitate demonstrated observations forsterite andstudies magnesite amorphous silica as that reaction if the silica activity value is high in alkaline solutions, sepiolite precipitates [61–63]. From this, we must products (see Figures 2 and 3). Experimental studies on the stability of sepiolite have demonstrated assume that the kinetics of sepiolite formation are very slow indeed and consequently it was excluded that if the silica activity value is high in alkaline solutions, sepiolite precipitates [61–63]. From this, from the mineral assemblage in subsequent calculations. Figure 10 shows the solution chemistry we must assume thewhere kinetics of sepiolite formation are very indeed and consequently it predicted in athat system forsterite is carbonated by gaseous COslow 2 in the presence of water. One was excluded from the mineral assemblage in subsequent calculations. Figure 10 shows the solution mole of forsterite (in excess) was sequentially reacted with 0.2 mol of CO2 gas, allowing equilibrium chemistry predicted a system where forsterite is carbonated by gaseous CO2sepiolite in the presence to be reached within both amorphous silica and all possible magnesium phases except (which of prevented forming in the simulations). At all temperatures °C and 175allowing °C water.was One mole of from forsterite (in excess) was sequentially reacted withbetween 0.2 mol 25 of CO 2 gas, carbonation is predicted causeboth dissolution of forsterite precipitation of magnesite and amorphous equilibrium to be reachedtowith amorphous silicaand and all possible magnesium phases except silica, with no other magnesium-bearing phases reaching equilibrium, sepiolite which was25 ˝ C sepiolite (which was prevented from forming in the simulations). At allexcept temperatures between allowed to remain oversaturated in the pore solution. ˝ and 175 C carbonation is predicted to cause dissolution of forsterite and precipitation of magnesite The solid phase chemistry is shown in Figure 11, which plots the ratio of forsterite dissolved and amorphous silica, with no other magnesium-bearing phases reaching equilibrium, except sepiolite against magnesite precipitated (mole ratio) against the number of moles of carbon dioxide consumed whichbywas allowed to remain oversaturated in the pore solution. the reaction. This is in effect the “yield” of the reaction, showing the moles of product formed as The solid phase chemistry is shown in Figure 11, which plots the ratio of forsterite dissolved a function of the moles of reactant consumed. The theoretical stoichiometry (see Equation (1), above) against magnesite precipitated ratio)one against the number of moles of carbon dioxide consumed is that two moles of forsterite(mole react with mole of CO 2 to produce one mole of magnesite and one by the reaction. This is silica. in effect thesimulations “yield” of suggest the reaction, showing the product formed mole of amorphous These that this condition is moles reachedofquite rapidly. After reaction of only 0.9of mol of CO2, consumed. the reaction isThe 97%theoretical complete in stoichiometry stoichiometric terms; that is to (1), as a function of the moles reactant (see Equation sayisthe the CO reacts to form very little partitions liquid phase above) thatbulk twoofmoles of2 forsterite reactmagnesite with one and mole of CO produceinto onethe mole of magnesite 2 to (cf. Figure 10). Figure 11 shows that the temperature does have an effect on the extent of reaction andquite and one mole of amorphous silica. These simulations suggest that this condition is reached efficiency of carbonation in terms of the overall yield. The pseudo steady-state conditions established rapidly. After reaction of only 0.9 mol of CO2 , the reaction is 97% complete in stoichiometric terms; after reaction of 0.2 mol of CO2 are maintained if further reaction is simulated, such that the solution that is to say the bulk of the CO2 reacts to form magnesite and very little partitions into the liquid chemistry remains constant, as does the ratio of forsterite and CO2 consumed to the quantities of amorphous silica and magnesite precipitated. This is shown in Figure 12, where an excess of carbon dioxide eventually exhausts the reserve of forsterite, maintaining the stoichiometry of the reaction throughout. It must be stated that since the simplistic geochemical reaction path modeling is used in Molecules 2016, 21, 353 12 of 19 phase (cf. Figure 10). Figure 11 shows that the temperature does have an effect on the extent of reaction and efficiency of carbonation in terms of the overall yield. The pseudo steady-state conditions established after reaction of 0.2 mol of CO2 are maintained if further reaction is simulated, such that the solution chemistry remains constant, as does the ratio of forsterite and CO2 consumed to the quantities of amorphous silica and magnesite precipitated. This is shown in Figure 12, where an excess of carbon dioxide eventually exhausts the reserve of forsterite, maintaining the stoichiometry of the reaction It must be stated that since the simplistic geochemical reaction Molecules 2016, throughout. 21, 353 12 of 19path modeling is 2016, used21,in353this study, many physical processes, such as material deformation, pore-fluid Molecules 12 of 19flow, study,advection, many physical processes, such as material deformation, pore-fluid flow, be heat transfer, in heat this transfer, diffusion/dispersion, are ignored, although they should considered this study,asdiffusion/dispersion, many processes, such asalthough material deformation, heat work, transfer, advection, are ignored, they should bepore-fluid consideredflow, in as future work, they physical are expected to be important during industrial-scale-up. In future addition, because advection, diffusion/dispersion, are ignored, although they should be considered in future work, as they are expected to be important during industrial-scale-up. In addition, because the chemical the chemical dissolution-front instability is also neglected in this study, many important factors, such they are expected to be important during industrial-scale-up. In addition, because the chemical dissolution-front instability is also neglected in this study, many important factors, such as mineral as mineral reactive surface area, mineral dissolution ratio, solute dispersion, medium anisotropy, dissolution-front instability is dissolution also neglected in solute this study, many important factors, such as mineral reactive surface area, mineral ratio, dispersion, medium anisotropy, medium and medium and fluid compressibility, have also been ignored. To consider these factors appropriately, reactive surface area, mineral dissolution ratio, solute medium anisotropy, medium and fluid compressibility, have also been ignored. To dispersion, consider these factors appropriately, more morecomprehensive comprehensive chemical-transport modeling will be required. fluid compressibility, have also been ignored. To consider these factors appropriately, more chemical-transport modeling will be required. comprehensive chemical-transport modeling will be required. Ions in solution after carbonation Ions in solution after carbonation 0.0008 Moles of element per dm^-3 Moles of element per dm^-3 0.0008 0.0007 0.0007 0.0006 pH 8.0 0.0006 0.0005 pH 8.0 0.0005 0.0004 0.0004 0.0003 0.0003 0.0002 C(4) pH 10.5 C(4) Si pH 10.5 Si Mg Mg pH 9.2 0.0002 0.0001 pH 9.2 0.0001 0 0 25 25 50 50 75 100 125 Temperature / Degrees celsius 75 100 125 150 175 150 175 Temperature / Degrees celsius Figure 10. Solution chemistry predicted after reaction of excess forsterite (1 mol) with carbon dioxide Figure 10. Solution chemistry predicted after reaction of excess forsterite (1 mol) with carbon dioxide Figure Solution predicted after reaction (1 mol) with carbon dioxide gas (0.210. mol of CO2)chemistry over the temperature interval (25 of °Cexcess to 175 forsterite °C). gas (0.2 mol of CO2 ) over the temperature interval (25 ˝ C to 175 ˝ C). Moles of magnesite precipitated per mole Moles of magnesite precipitated per mole forsterite reacted during carbonation forsterite reacted during 'wet''wet' carbonation gas (0.2 mol of CO2) over the temperature interval (25 °C to 175 °C). 2.00 Yield of carbonation reaction / moles per mole of solid Yield of carbonation reaction / moles per mole of solid 2.00 1.95 25°C 25°C 100°C 1.95 1.90 100°C 125°C 1.90 1.85 125°C 150°C 1.85 1.80 150°C 175°C 1.80 1.75 175°C 1.75 1.70 1.70 0 0 0.005 0.01 0.015 0.01 with excess 0.015 Moles of 0.005 carbon dioxide reacted forsterite 0.02 0.02 Moles of carbon dioxide reacted with excess forsterite Figure 11. Solid phase chemistry predicted after reaction of excess forsterite (1 mol) with carbon Figure 11. chemistry predicted reaction excess forsterite mol)ofwith carbon dioxide gasSolid overphase the temperature interval after (25 °C to 175of°C) expressed as (1 moles magnesite Figure 11. Solid phase chemistry predicted after reaction of excess forsterite (1 mol) with carbon dioxide precipitated/moles forsterite reacted, as a function of carbon dioxide consumed. dioxide gas over the temperature interval (25 °C to 175 °C) expressed as moles of magnesite gas over the temperature interval (25 ˝ C to 175 ˝ C) expressed as moles of magnesite precipitated/moles precipitated/moles forsterite reacted, as a function of carbon dioxide consumed. forsterite reacted, as a function of carbon dioxide consumed. Molecules 2016, 21, 353 13 of 19 Molecules 2016, 21, 353 13 of 19 Moles of solids in equilibrium assemblage Moles of solid present in assemblage 2.5 2.0 1.5 Forsterite 1.0 Magnesite Quartz 0.5 0.0 0.0 0.2 0.4 0.6 0.8 1.0 1.2 Moles of carbon dioxide reacted with 1 mole forsterite Figure 12. Solid phase chemistry predicted after reaction of one mole of forsterite with excess carbon Figure 12. Solid phase chemistry predicted after reaction of one mole of forsterite with excess carbon dioxide gas at 25 °C, showing the stoichiometric relationship between moles of reactant (forsterite) dioxide gas at 25 ˝ C, showing the stoichiometric relationship between moles of reactant (forsterite) consumed to moles of product (magnesite and quartz) precipitated. consumed to moles of product (magnesite and quartz) precipitated. 3. Experimental and Modeling Section 3. Experimental and Modeling Section 3.1. Materials 3.1. Materials Three kilograms of olivine mineral were excavated and collected from different depths of the Mont peridotite stratum in Malaysia. Although and this collected source is from local, different the results can be ThreeTawai kilograms of olivine mineral were excavated depths of the considered as broadly representative of peridotite as the mineral composition is typical. The samples Mont Tawai peridotite stratum in Malaysia. Although this source is local, the results can be considered were crushed by a mechanical grinder into four different size ranges: µm, 75–125 as broadly representative of peridotite asand the sieved mineral composition is typical. The<75 samples were µm, crushed 125–200 µm and >200 µm. Subsequently, they were dried to a constant weight at 120 °C for 2 h. Ten by a mechanical grinder and sieved into four different size ranges: <75 µm, 75–125 µm, 125–200 µm grams of each size fraction were mixed separately in 500 mL of 0.01 M hydrochloric acid (HCl, QRëC and >200 µm. Subsequently, they were dried to a constant weight at 120 ˝ C for 2 h. Ten grams of each reagent grade, 37%) solution to remove impurities. size fraction were mixed separately in 500 mL of 0.01 M hydrochloric acid (HCl, QRëC reagent grade, The olivine samples were characterized using scanning electron microscopy (SEM, S-4700 Hitachi, 37%)Tokyo, solution to remove impurities. Japan) and X-ray diffraction (XRD, X’Pert powder, PANalytical, Almelo, The Netherlands), The olivine samples were characterized using electron microscopy (SEM, S-4700 Hitachi, while elemental composition was measured by scanning X-ray fluorescence (XRF, PW-1410, PANalytical, Tokyo, Japan) and X-ray diffraction (XRD, X’Pert powder, PANalytical, Almelo, The Netherlands), Almelo, The Netherlands). The carbonation yield of the olivine was determined using a total carbon whileanalyzer elemental composition wasCorp., measured by X-ray fluorescence (XRF, PW-1410, PANalytical, Almelo, (TCA, CS844, LECO St. Joseph, MI, USA). The Netherlands). The carbonation yield of the olivine was determined using a total carbon analyzer 3.2. Experimental (TCA, CS844, LECOApparatus Corp., St. Joseph, MI, USA). The experimental equipment for CO2 mineralization consisted of a CO2 analyzer system 3.2. Experimental mounted in aApparatus flow system connected to a cylindrical (500 mm × 10 mm (d)) autoclave reactor with the to supplyequipment diluted COfor 2 and flushing with pure N2 (Figure 13). CO2 was introduced into the Themeans experimental CO2 mineralization consisted of a CO2 analyzer system mounted reactor at different partial pressures (up to 30%). Two flow meters (FM-1050, Matheson Tri-gas, in a flow system connected to a cylindrical (500 mm ˆ 10 mm (d)) autoclave reactor with the means to Basking Ridge, NJ, USA) were used to control the flow rate of the inlet gases. The autoclave reactor supply diluted CO2 and flushing with pure N2 (Figure 13). CO2 was introduced into the reactor at was loaded with mineral and acid, then placed in a furnace where the temperature was measured different partial pressures (up to 30%). Two flow meters (FM-1050, Matheson Tri-gas, Basking Ridge, and controlled using a thermocouple inserted directly into the reactor. NJ, USA)Awere used togenerator control the flow of the inlet The autoclave reactorwas wasmeasured loaded with water vapor was usedrate to humidify the gases. gas stream. CO2 consumption mineral and acid, then placed in a furnace where the temperature was measured and controlled using as the difference between supply and vent level at fixed flow (with integration over time) using an a thermocouple inserted directly into the reactor. optical IR-sensor (GMP221, Vaisala Oyj, Helsinki, Finland), according to Equation (1): A water vapor generator was used to humidify the gas stream. CO2 consumption was measured (pCO − pCO ) × ∆t × Q as the difference between CO supply and vent=level at fixed flow (with integration over time) using uptake (1) an R×T×M optical IR-sensor (GMP221, Vaisala Oyj, Helsinki, Finland), according to Equation (1): ˆ CO2 uptake mol g ˙ ` ˘ n ÿ pCO2 in ´ pCO2 out i ˆ ∆t ˆ Q “ RˆTˆM i (1) Molecules 2016, 21, 353 14 of 19 Molecules 2016, 21, 353 14 of 19 where where pCO2pCO pCO aremean mean value of 2pCO (atm) at the inflow outflowsupplyP (equilibrium out 2and 2 2inin are out and pCO value of pCO (atm)2 at the inflow and outflowand (equilibrium supplyP = 4.8 ∆t Q and areinterval time interval (min) flow rate (L/min), respectively, and T are gas = 4.8 bar),bar), Δt and areQ time (min) and flowand rate (L/min), respectively, R and T are gasRconstant (0.082057 l.atm/mol.K) and temperature (K), respectively, and M is the and massM of forsterite (g). of forsterite (g). constant (0.082057 l.atm/mol.K) and temperature (K), respectively, is the mass 13. Schematic diagram of experimental set-up for CO2 sequestration in chemically pretreated FigureFigure 13. Schematic diagram of experimental set-up for CO2 sequestration in chemically pretreated peridotite mineral from Mount Tawai, Malaysia. peridotite mineral from Mount Tawai, Malaysia. 3.3. Experimental Procedure 3.3. Experimental Procedure In this study, 1 M HCl was used for dissolution of Mg from the mineral matrix of peridotite and Inthe this study, 1 experiment M HCl was used for dissolution of vessel. Mg from thea stoichiometric mineral matrix of peridotite dissolution was conducted in a separate When amount of HCl and solution was added to olivine powder in ainreaction vesselvessel. and stirred with a magnetic stirrer at 60 °Cof HCl the dissolution experiment was conducted a separate When a stoichiometric amount forwas two added h, the entire mass formed a slurry. This slurry was then intoa the autoclave reactor solution to olivine powder in a reaction vessel andtransferred stirred with magnetic stirrer at 60 ˝ C and neutralized by adding a base (NaOH: Fisher Chemicals reagent grade, with purity 99.999%) until for two h, the entire mass formed a slurry. This slurry was then transferred into the autoclave reactor the final pH was increased to above seven. Before heating the reactor, it was purged with nitrogen in and neutralized by adding a base (NaOH: Fisher Chemicals reagent grade, with purity 99.999%) until order to replace the air inside the reactor, then the reactor was pre-heated to 175 °C for 1 h to dry the the final pH and wascooled increased to above Before heating the reactor, it was purged with nitrogen in slurry to ambient. COseven. 2 gas (SFE grade, with a purity of 99.99% contained in a dip-tube ˝ C for 1 h to dry the order to replace the air inside the reactor, then was pre-heated to 175 cylinder and purchased from MOX Company,the KL,reactor Malaysia) was passed through the dried slurry at typical flue gas level (15 vol %)2 or 4.8(SFE bar pressure tot = 32 bar) in the presence of slurry aand cooled to ambient. CO gas grade, (P with a purity of absence 99.99% or contained inwater a dip-tube vapor. temperature of MOX the carbonation process was studiedwas overpassed the interval from ambient to slurry cylinder andThe purchased from Company, KL, Malaysia) through the dried 175 °C. at a typical flue gas level (15 vol %) or 4.8 bar pressure (Ptot = 32 bar) in the absence or presence of The reactions involved in the extraction of Mg and carbonation are as follows: water vapor. The temperature of the carbonation process was studied over the interval from ambient 4HCl (liquid) + Mg2SiO4 (solid) → 2MgCl2 (aqueous) + SiO2 (solid) + 2H2O (liquid) (Rx. 4) to 175 ˝ C. The reactions involved in the extraction of Mg and carbonation as follows: In this reaction scheme (Reaction (4)), forsterite dissolves in HCl, are forming soluble MgCl2 (Mg2+ remains in solution), and leaves behind insoluble SiO2. [15] Magnesium hydroxide [Mg(OH)2] is precipitated by ` neutralization (Reaction (5)). Then, by passing Mg(OH) 2 is converted(Rx. 4) 4HCl (liquid) Mg2 SiO4 with Ñ 2MgCl ` SiO `2,2H 2 O (liquid) (solid)NaOH 2 (aqueous) 2 (solid)CO to MgCO3 in a gas-solid carbonation process (Reaction (6)). 2+ In this reaction scheme (Reaction forsterite dissolves in HCl, forming soluble MgCl MgCl2(4)), + 2NaOH → Mg(OH) 2 + 2NaCl (Rx. 5)2 (Mg remains in solution), and leaves behind insoluble SiO2 . [15] Magnesium hydroxide [Mg(OH)2 ] is Mg(OH)2 + CO2 → MgCO3 + H2O (Rx. 6) precipitated by neutralization with NaOH (Reaction (5)). Then, by passing CO2 , Mg(OH)2 is converted of water vapor level on carbonation to MgCO3 The in a effect gas-solid carbonation process (Reactionwas (6)).studied in the range 5–20 vol % H2O, corresponding to a range of relative humidity 18%–72% RH. After completion of the experiment, the samples were collected and filtered using <75 µm pore size Whatman filter papers. The MgCO3(Rx. 5) MgCl 2 ` 2NaOH Ñ MgpOHq2 ` 2NaCl MgpOHq2 ` CO2 Ñ MgCO3 ` H2 O (Rx. 6) The effect of water vapor level on carbonation was studied in the range 5–20 vol % H2 O, corresponding to a range of relative humidity 18%–72% RH. After completion of the experiment, Molecules 2016, 21, 353 15 of 19 the samples were collected and filtered using <75 µm pore size Whatman filter papers. The MgCO3 formed in the sample was quantified by titration against HCl. For the titration, a certain amount of solid (0.5 g) was weighed in a conical flask. Then, 20 mL of 1 M HCl was added into the flask and was allowed about two hours to react with the MgCO3 . The excess HCl was then back-titrated using 0.1 M NaOH solution. From the difference in titrant volume, the HCl consumed was calculated from which the content of MgCO3 was deduced. 3.4. Estimation of Carbonation Yield The extent of CO2 mineral carbonation YCO2 was estimated using the TCA method, ˆ which ˙ is 1 based on the mineralogy of samples tested and the capacity of carbon sequestrated [64]. RCO2 RCO2 is considered as the weight fraction of CO2 that can be trapped in a specific amount of mineral. According to Gadikota et al. [64] the capacity of CO2 sequestration in forsterite (Mg2 SiO4 ) can be expressed as follows: ˆ ˙ YMg WCO2 1 ˆ MWCO2 (2) “ “ Wf o RCO2 MWMg where W f o and WCO2 are weights of forsterite before its mineral carbonation and CO2 sequestrated in the solid phase (i.e., magnesite), respectively. YMg is the mass fraction of Mg2+ in the forsterite (i.e., 34.55%) that can react with carbon dioxide to form stable magnesite. MWmg and MWCO2 are the formula weights of Mg2+ (48.61 mol/g in the forsterite) and CO2 (44.01 mol/g), respectively, in the carbonated forsterite (2MgCO3 & SiO2 —see (Reaction (1))). Therefore, YCO2 is the amount of carbon dioxide sequestrated (as magnesite) relative to the maximum capacity of CO2 sequestration in 1 forsterite p “ 31.27%q. RCO2 ff 3.67 ˆ weight fraction of carbon in MgCO3 ` ˘ ˆ 100% “ RCO2 ˆ 1 ´ 3.67 ˆ weight fraction of carbon in MgCO3 « YCO2 (3) where 3.67 is the CO2 /C mass ratio. The carbonation yields of the forsterite and the effect on these of key empirical variables—reaction temperature, time, and particle size, are compared below. 3.5. Modeling System and Kinetic Analysis Thermodynamic calculations were performed with the PHREEQC program software (version 2.18) with data from the LLNL [58]. Forsterite is the Mg-end member of the forsterite-fayalite solid solution series, and is included in the LLNL database. This program was used to estimate the dissolution and carbonation of forsterite samples in order to predict CO2 uptake processes and potentials. Moreover, thermodynamic equilibrium constants for the mineral carbonation reactions of forsterite were provided by model databases. In doing so, reaction kinetics were implemented by using a BASIC interpreter. The possibility of implementing reactions kinetic into the code as BASIC statements was also used to predict the reaction progress over time. Consequently, the quality and validity of the model system and the determined rate and equilibrium parameters were verified against the results of carbonation experiments with forsterite samples. The data from a sequence of laboratory efforts were applied for that purpose, which were performed in the aqueous autoclave mini reactor. The kinetic analysis of the forsterite dissolution rates was determined according to “standard integral analysis Levenspiel’s method” [65] in Mg-rich solution using HCl. The results were set into several heterogeneous reaction models represented by integral rate equations and then the multiple regression coefficients (R) were calculated. The shrinking core model described by Dri et al. [66] was applied for the constant size of forsterite particles. Based on this method, reaction rates take place at the outer surface of the unreacted particles, and heterogeneous reactions are controlled by the product layer diffusion (Equation (4)), film diffusion (Equation (5)) and chemical reaction control (Equation (6)). In addition, the Molecules 2016, 21, 353 16 of 19 possibility of having a compound effect of “chemical reaction control” and “product layer diffusion” was investigated using Equation (7). 2 kt “ 1 ´ 3p1 ´ XE q 3 ` 2 p1 ´ XE q (4) 1 3 kt “ 1 ´ 3p1 ´ XE q (5) kt “ XE (6) 2 1 3 3 kt “ r1 ´ 3p1 ´ XE q ` 2 p1 ´ XE q s ` r1 ´ 3p1 ´ XE q s (7) In these equations. “t” is time (s) and “k” (s´1 ) and “XE ” denote the rate constant and the extent of reaction, respectively. 4. Conclusions This work has experimentally and numerically modeled the process by which carbon dioxide gas may be sequestered, in situ by reaction with forsterite and/or its extracted intermediate brucite (ex situ) in the presence of moisture. In both cases, we have found that the reaction is favored resulting in a high carbonate yield; going almost to completion with the bulk of the carbon partitioning into magnesite and that very little remaining in solution. In the presence of water vapor, the degree of mineral carbonation was increased, we suggest, due to an alternative carbonation pathway providing for faster reaction kinetics [64]. Despite the observations made in other studies, we suggest that hydromagnesite is an intermediate in these carbonation experiments but is converted into magnesite on the (hours) timescale of reaction studied here, although the mechanism is as yet unclear. Hydromagnesite is less desirable as final product as it corresponds to only 80% sequestration (relative to magnesite) on a molar basis. Moreover, we recognize that this system is itself not at thermodynamic equilibrium, but maybe take a very long period and recrystallization as sepiolite (Mg4 Si6 O15 (OH)2 ¨ 6H2 O) is one possible outcome. However, we have found no evidence that this occurs over the period of one year. The clay mineral sepiolite is known to form in nature from dolomite/silica assemblages in the presence of water, but its formation kinetics are slow and we do not expect its formation to occur spontaneously in an industrial carbonation plant. Thus, we propose that the carbonation of readily available forsterite is a viable route for carbon sequestration. From the computational perspective, a CO2 sequestration system with mineral carbonation can be treated as a fully-coupled problem between rock deformation, pore-fluid flow, heat transfer, mass transport, and chemical reaction processes. The results obtained from this study establish the viability of a geochemical model that can be used in to simulate the dynamic processes involved in CO2 sequestration in the Mount Tawai peridotite, Malaysia. Acknowledgments: The authors appreciate the Division of Research & Technology in IAU-Mahabad Branch for financial support and the Universiti Teknologi Malaysia (UTM) for chemical and structural analyses. The authors are also grateful to Sahar Zarza and Shahram M. Aminpour for valuable comments. Author Contributions: “O.R. conceived and designed the experiments. J.H. assisted with manuscript draft and consultation. R.J. did the interpretation of the due analyses. M.T. contributed in the simulation section and consultation. A.B. prepared the samples and some parts of the revised manuscript.” Conflicts of Interest: The authors declare no conflict of interest. References 1. Rahmani, O.; Junin, R.; Tyrer, M.; Mohsin, R. Mineral carbonation of red gypsum for CO2 sequestration. Energy Fuels 2014, 28, 5953–5958. 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