Abstract
Particle size dependence of CO2 absorption rate of powdered Ba2Fe2O5 with three kinds of particle size was studied by XRD, SEM, particle size distribution measurement and thermogravimetry. From the particle size distribution measurement, average particle sizes of the powdered Ba2Fe2O5 samples were estimated about 52.5 μm, 77.5 μm and 100.0 μm, respectively. Results show that the reaction of CO2 with Ba2Fe2O5 was controlled by the diffusion step in the product layer, and the kinetics process could be described by the RPP model (Real Physical Picture). Moreover, Ba2Fe2O5 exhibits a good recycling performance though the adsorption capacity is reduced slightly during the cycle processes, and the pathway of the CO2 adsorption–desorption on Ba2Fe2O5 has also been obtained, which suggested that Ba2Fe2O5 is a promising CO2 absorbent material.
Introduction
Due to the industrial revolution, greenhouse gases caused by human beings increased year by year. So the atmospheric greenhouse effect is enhanced largely, thus causes a series of serious problems such as global warming, which attract global attention [1, 2,3,4]. Since carbon dioxide is the main component of greenhouse gases, looking for a suitable material to capture and store CO2 is an important research subject. Different kinds of materials have been proposed as CO2 captors, for example polymeric membranes, zeolites, and different oxides [5, 5,6,7,8,9]. Nevertheless, all of these materials present one or more disadvantages. Hence, new materials for CO2 capture must possess the following properties: high selectivity and sorption capacity for CO2 at elevated temperatures, adequate absorption/desorption kinetics for CO2, good recyclability for the absorption/desorption process, and good hydrothermal and mechanical properties [10, 11].
Ba2Fe2O5, as a new CO2 captor, was reported by Miyoshi [12], and the absorption is supposed to depend on the following reaction:
Compared with other CO2 captors, Ba2Fe2O5 has some outstanding properties. For instance, the CO2 chemisorption of Ba2Fe2O5 can be performed in a wide range of temperature, from 500 ℃ to 1100 ℃. Moreover, it has been confirmed that the reaction (1) is reversible, that is, the reaction (1) progresses toward the right direction below 1100 ℃, and the left direction over 1100 ℃, which means that Ba2Fe2O5 can be repeatedly used as a novel CO2 absorbent. Fujishiro et al. researched that kinetics and mechanism of chemical reaction of CO2 and Ba2Fe2O5 under various CO2 partial pressures [13], in addition, the reaction of CO2 and Ba2Fe2O5 should be influenced by the size of powdered Ba2Fe2O5, but for now, relevant papers have not found. Multicycle property is also an important property for an outstanding CO2 captor. Therefore, in this paper, we study particle size dependence of the reaction rate of the powered Ba2Fe2O5 with three kinds of particle size and multicycle property by means of XRD, SEM observation, particle size distribution measurement, and thermo-gravimetric analyzer, and the kinetics process is also described by the RPP model (Real Physical Picture).
Experimental
Ba2Fe2O5 samples were synthesized by the solid-state method using barium carbonate (BaCO3, analytically pure) and ferric sesquioxide (Fe2O3, analytically pure). Initially, BaCO3 and Fe2O3 powders were calcined at 150 ℃ for 10 h to remove the adsorbed water, and then they were weighed in the stoichiometric ratio of Ba2Fe2O5 and mixed with ethanol in a agate mortar by hand for 1 h. After that, the mixture was pressed into a disk of 18 mm diameter at 0.4 GPa, and the disk was sintered on an alumina crucible at 1200 ℃ for 10 h in N2 gas flow. The sintered disk was mechanically crushed into powder using an agate mortar, and then the gained powder is divided into three kinds of particle sizes by sieves of different particle size. By this procedure, Ba2Fe2O5 samples with three kinds of particle sizes were obtained. The obtained samples were examined by XRD (Model, TTR Ⅲ, Japan) to confirm whether the Ba2Fe2O5 samples were single phase or not. Median particle size of the powdered Ba2Fe2O5 samples was measured through particle size distribution (frequency distribution and accumulative distribution) by laser diffraction and scattering method.
The CO2 absorption measurement was performed on these three powdered Ba2Fe2O5 samples. For the measurement, about 20 mg of the powdered Ba2Fe2O5 sample was used, respectively. The powdered Ba2Fe2O5 sample was placed in the thermogravimetric instrument, where the experimental temperature raised to 1000 ℃ with a heating rate of 20 ℃/min in N2 gas flow, and then pure CO2 gas flow with 50 mL/min was charged when the temperature reached 1000 ℃ to make the reaction take place in the CO2 atmosphere until the sample mass reached constant. In this process, the thermogravimetric analyzer with sensitivity of 0.001 g was used to monitor the weight change of the powered Ba2Fe2O5 sample continuously. In order to assess the reusability of Ba2Fe2O5, the multicycle test was carried out. Ba2Fe2O5 sample was first heated from room temperature to 1000 °C under a N2 atmosphere, and then N2 flow was switched to the CO2 gas to start the adsorption reaction. After 2500 s, the sample was heated to 1200 °C with a heating rate of 20 °C/min and maintained this temperature for 1200 s to start the desorption reaction in a N2 gas flow, then lowered temperature to 1000 °C at a rate of 20 °C/min. Then, the adsorption and desorption procedures were repeated. Scanning electron microscopy (SEM: Model S250MK3, CAMBRIDGE) was used to measure the morphology of the specimens before and after the TG measurement.
Results and discussion
Sample preparation
The XRD result of Ba2Fe2O5 is presented in Figure 1, from which it can be seen that the pure Ba2Fe2O5 can be prepared by BaCO3 and Fe2O3 at the temperature of 1200 ℃ using solid-state method. And the reaction kinetics of Fe2O3 and BaCO3 to prepare Ba2Fe2O5 was studied in our previous paper [14]. SEM photograph of the Ba2Fe2O5 sample is shown in Figure 2(a), from which it can be seen that the product is built by unregularly polyhedron-shaped and dense particles with sizes ranging within 1.0–3.0 μm. For the CO2 absorption measurement, three kinds of powdered Ba2Fe2O5 samples were prepared from the Ba2Fe2O5 samples by the procedure mentioned under the experimental part. In order to measure average particle size of the three kinds of powered samples, particle size distribution measurement was performed on the powdered samples. Accumulative distribution and measured frequency distribution of the powdered samples are shown in Figure 3. According to the figure, it could be recognized that the frequency distributions of the samples look almost symmetry, and median particle sizes of the samples were measured that 52.5 μm, 77.5 μm and 100.0 μm, respectively. Because of symmetry of the frequency distribution, the median particle size would be equal to average particle size.

X-ray diffraction patterns of Ba2Fe2O5 and reaction products of Ba2Fe2O5.

SEM photographs of the Ba2Fe2O5 sample and reaction products of Ba2Fe2O5.

Accumulative and frequency distributions of the powdered samples, (a) 52.5 μm, (b) 77.5 μm (c) 100.0 μm.
Figure 1 also showed the XRD of reaction products of CO2 and Ba2Fe2O5 that median particle size was 100.0 μm. From the figure, it can be seen that only BaCO3 and BaFe2O4 appeared at the end of reaction. And the SEM of reaction products is shown in Figure 2(b). It was found that secondary particles with diameters of 3–4 μm, which consisted of BaCO3 and BaFe2O4, were observed on large raw particles, and they were dense and homogeneous.
Rate analysis for the CO2 absorption
Weight change of the powdered Ba2Fe2O5 samples was measured with reaction time t at a target reaction temperature T by the thermogravimetric instrument. As a typical example of the estimation, reaction extent (

CO2 adsorption curves under various particle sizes at 1000 ℃.
Chou model
The reaction between CO2 and Ba2Fe2O5 firstly begins from the surface of the Ba2Fe2O5 particle, and the layer of BaCO3 and BaFe2O4 becomes thicker and thicker. Therefore, the rate of the whole reaction will be controlled by the diffusion in the product layer.
Chou et al. [15, 16, 17] have succeeded in establishing a RPP (Real Physical Picture) model to describe the kinetics of reaction controlled by the diffusion process in the solid-product layer, as shown in eq. (2), which is a form of explicit function, so the RPP model is easy to use and enable the easy performance of theoretical analysis.
and
where
The reaction kinetics of CO2 and Ba2Fe2O5 in isothermal can be described by eq. (2). Figure 5 shows the fitting results, and it can be seen that the experimental data and theoretical predicted values are in good agreement which validates the present theoretical approach. The model describing the effects of particle size and time on the reacted fraction is given as follows:

A comparison between experimental data and theoretical predictions from the RPP model.
Multicycle property of Ba2Fe2O5
The multicycle performance of Ba2Fe2O5 in the conditions of adsorption in CO2 gas (1000 ℃) and desorption (1200 ℃) in N2 gas is shown in Figure 6. It can be seen from Figure 6, Ba2Fe2O5 exhibits a good recycling performance though the adsorption capacity is reduced slightly during the cycle processes.

The multicycle performance of Ba2Fe2O5 in the conditions of adsorption in CO2 gas and desorption in N2 gas.
The produced powders of different stages of reaction were characterized SEM analyses by Fujishiro [18]. The morphologies of the specimens at various reaction stages were observed to evaluate the CO2 absorption mechanism. After heating for different temperatures, three types of specimens with reaction ratio of 0.3, 0.5, and 0.9 were obtained by Fujishiro. It can be seen that the as-prepared Ba2Fe2O5 was composed of particles with diameters of 50–70 μm. As the reaction proceeded, secondary particles with diameters of 5–7 μm, which consisted of BaCO3 and BaFe2O4, were observed on large raw particles. Figure 7(a) and 7(b) show the sample SEM images after 1 and 5 times adsorption–desorption cycles, respectively. Compared with the SEM images of adsorbed samples, it can be noticed that the morphologies of the samples after adsorption-desorption test are quite different, and it can be observed that the particles are flawed and loosed, which due to the release of CO2 in desorption stage. Based on the above analysis, the pathway of the CO2 adsorption–desorption on Ba2Fe2O5 can be obtained and shown in Figure 8. At the initial stage of adsorption, the BaCO3 and BaFe2O4 external shell are formed on the surface of Ba2Fe2O5, and as the reaction proceeded, the unreacted center Ba2Fe2O5 is smaller and smaller until completely react. At the desorption stage, BaCO3 reacts with BaFe2O4 to generate Ba2Fe2O5 and CO2, which makes Ba2Fe2O5 flawed and loosed. The multicycle processes of adsorption–desorption take place between the flawed and loosed Ba2Fe2O5 and BaCO3, BaFe2O4.

The sample SEM images of 1 (a) and 4 (b) times adsorption-desorption cycle.

The CO2 adsorption-desorption pathway of Ba2Fe2O5.
Conclusions
Particle size dependence of CO2 absorption rate of the powdered Ba2Fe2O5 with three kinds of particle size was studied by XRD, SEM and TG. From the particle size distribution measurement, average particle sizes of the powdered Ba2Fe2O5 samples were estimated about 52.5 μm, 77.5 μm and 100.0 μm, respectively. From the comparisons of measured kinetic curves with calculated results, it can be concluded that diffusion in the Ba2Fe2O5 product is the rate-controlling step of the reaction of CO2 with Ba2Fe2O5. And the RPP model was well used to describe the reaction kinetics of CO2 and Ba2Fe2O5 in isothermal conditions. The good cycle characteristics show Ba2Fe2O5 is an outstanding CO2 captor.
Acknowledgment
This work was financially supported by National Natural Science Foundation of China (51704271, U1702251)
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