Maria
Tou
a,
Jian
Jin
bc,
Yong
Hao
bc,
Aldo
Steinfeld
a and
Ronald
Michalsky
*a
aDepartment of Mechanical and Process Engineering, ETH Zürich, 8092 Zürich, Switzerland. E-mail: michalskyr@ethz.ch
bInstitute of Engineering Thermophysics, Chinese Academy of Sciences, 11 Beisihuanxi Rd., Beijing 100190, P. R. China
cUniversity of Chinese Academy of Sciences, No.19A Yuquan Rd., Beijing 100049, P. R. China
First published on 14th March 2019
We report on the first ever experimental demonstration of simultaneous thermolysis of CO2 and H2O with in situ separation of fuel and oxygen in a solar-driven membrane reactor. Gaseous CO2/H2O mixtures at molar ratios from 3:4 to 2:1 were fed to a mixed ionic–electronic conducting non-stoichiometric ceria (CeO2−δ) membrane enclosed in a solar cavity receiver and exposed to simulated concentrated solar radiation of up to 4200 suns. Reaction rates were measured under isothermal and isobaric conditions in the range of 1723–1873 K and 0.2–1.7 Pa O2, yielding a maximum combined CO and H2 fuel production rate of 2.3 μmol cm−2 min−1 at 1873 K and 0.2 Pa O2 at steady state, which corresponded to a conversion of reactants of 0.7%. Under all conditions tested, CO production was favored over H2 production, as expected from theory. Experimental results followed the same trends as the thermodynamic equilibrium limits of membrane-assisted thermochemical fuel production.
Solar thermochemical redox cycles utilize the entire spectrum of solar radiation concentrated to high-temperature process heat to drive the splitting of CO2 and H2O and produce CO and H2 at high rates, selectivity, mass conversions, and efficiencies.4–6 However, the temperature swing required between the redox steps induces significant material stresses and energy irreversibility, which prompted the search for alternative isothermal processes.7–9 One promising approach is the use of a dense, ceramic, mixed ionic–electronic conducting (MIEC) membrane for the continuous separation of oxygen and fuel (H2 and/or CO) derived from the thermolysis of CO2 and H2O at high temperatures, as pioneered for solar water splitting by Fletcher and co-workers.10,11 We recently demonstrated the proof-of-concept utilization of a solar-driven membrane reactor for splitting of CO2.12 Other investigations of thermochemical membrane reactors, both theoretical and experimental, have also only focused on either CO2- or H2O-splitting.10,13–18 This work goes further and demonstrates the feasibility of co-feeding both CO2 and H2O and assesses the relative favorability between the two thermolysis reactions occurring simultaneously. The desired dissociations are chemical equilibrium reactions in the gas phase described by:
(1) |
(2) |
The reactions are analogous; that is, both are endothermic and thermolytic, but their reaction energetics differ. This is described by the standard Gibbs free energy changes at equilibrium (ΔG = 0):
(3) |
(4) |
Fig. 1 (a) Equilibrium contours for separate thermolysis of CO2 (light-colored) or H2O (dark-colored) at 1 bar total pressure as a function of T and pO2 (according to eqn (3) and (4)) for various mole fractions of CO or H2, respectively. Contours extend until pCO or pH2 = 2pO2, and increasing pO2 beyond this point no longer provides benefit over unperturbed thermolysis. (b) Schematic of the tubular redox membrane reactor for splitting of CO2 and H2O. CO2 and H2O are fed to the inner side of the membrane and dissociate into fuel and O2, with the latter selectively crossing the membrane into the Ar sweep gas. |
The membrane reactor concept used in this work for the co-thermolysis of H2O and CO2 is shown schematically in Fig. 1b. CO2 and H2O are fed to the inner side of a capped tubular non-stoichiometric ceria membrane. Ceria has become the benchmark material for oxygen-cycling applications due to its stability and fast kinetics.22–24 In our previous work it was also found to be an effective material for oxygen-conducting membranes.12 The supply of concentrated solar process heat at high temperatures drives the thermolysis, producing CO, H2, and O2. The latter adsorbs on the inner membrane surface, dissociates, and is transported across the membrane in an ionic form along a chemical potential gradient. O2− then associates into O2 at the outer membrane surface and desorbs into an inert sweep gas contained in a shell tube. This in situ removal of one of the reaction products drives the reactions forward towards dissociation and avoids downstream recombination. The counter-flow configuration of the reactant and product gases favorably maximizes the gradient of pO2 along the length of the membrane. By placing this reactor in a solar cavity receiver, the high-temperature heat for the reactions is provided by concentrated solar radiation incident on the shell tube.
Typical operating conditions require temperatures around 1773 K and partial pressures of O2 down to 1 Pa. These high temperatures eliminate the need for catalysts but pose significant constraints on the construction materials which must withstand these conditions over extended periods of time. Materials must also resist thermal shock that may occur due to cooling overnight, unless the reactor is equipped with an alternative heat source such as a high-temperature thermal energy storage system.25 A modular tubular membrane design could avoid costly maintenance by allowing for simple replacement of degraded membranes. Maintaining low partial pressures of oxygen is crucial, requiring additional energy for vacuum pumping or gas separation to regenerate the inert sweep gas (such as N2, though here we use Ar for gas analytic considerations).26,27 Alternatively, some studies have reported solar-driven production of pure O2 and inert gas with low partial pressures of oxygen using thermochemical oxygen pumps driven by low-grade process heat.27–29
(5) |
Previous observations with a solar cavity receiver containing a porous ceria structure directly exposed to high-flux irradiation reported that the overall kinetics are not controlled by solid-state diffusion within the crystal lattice.33 This is also expected for a ceria membrane because the measured values of ambipolar diffusion coefficients of oxygen in ceria (1.5 × 10−5–4 × 10−4 cm2 s−1 in the range of 1673–1823 K22) translate to diffusion times in the order of seconds for the length scales across the 0.5 mm-thick membrane. Thus, as far as solid-state diffusion is concerned, the transport of oxygen vacancies through the membrane is almost instantaneous compared with the time scales of data collection.
Reaction rates have an exponential dependence on temperature, scaling with exp(−EA/RT), as seen in the Arrhenius equation. The high temperature in the range of 1723–1873 K and consequent high activity of reactive oxygen vacancies at the surface of the membrane are expected to lead to fast surface exchange of oxygen from the gas into the solid phase.19 While studies of non-isothermal processes show that the heating rate limits the oxygen release rate, heat transfer should not be limiting in this isothermal process because the heat of the reaction is much lower than the heat input.23,33 Likewise, the high temperature, along with the catalytic effect of ceria, implies very fast thermolysis reactions in the gas phase.34 Therefore, a purely thermodynamic model is expected to adequately predict reactor performance.
However, to reach the thermodynamic limit in the countercurrent-flow reactor, there must be a sufficient membrane area and sweep gas flow rate relative to the flow rate of the reactant. To account for the oxygen capacity in a given flow of sweep gas, a thermodynamic model described by Bulfin was applied, which is specific to countercurrent-flow reactors.35 This approach guarantees compliance with the second law of thermodynamics and conservation of mass along the entire reactor by means of a dimensionless oxygen exchange coordinate, κ, defined as the number of moles of O2 crossing the membrane up to a certain point along the length, x, per mole of oxidant fed:
(6) |
The countercurrent-flow thermodynamic model was implemented and solved numerically with Matlab using thermodynamic data from NIST JANAF.36 The model input parameters are T, p, pO2, the relative flow of sweep to oxidant (ṅsweep/ṅoxidant), and the relative flow rates of CO2 and H2O . Note that pO2 refers to the O2 impurity at the inlet of the sweep gas. The values were generally chosen to match experimental conditions as determined from mass flow controller, thermocouple, and GC measurements. For example, the reactor operated at ambient pressure and 1 bar total pressure was set on both sides of the membrane. It was not possible to measure the reaction temperature of the gas inside the membrane. Instead, the measured temperature at the outer wall of the shell tube (certainly greater than the reaction temperature) and a simple heat transfer model were used to estimate the reaction temperature. Consequently, this analysis presents the thermodynamic limits as a shaded region, where the upper and lower bounds are the limits at the maximum measured shell temperature and the estimated reaction temperature, respectively. In the range of operation, the difference between these temperatures is approximately 50 K. The simple heat transfer model used to calculate this temperature difference is described in the ESI.† The outputs of the thermodynamic model are the partial pressures of the products and conversion of the reactants at equilibrium.
Fig. 4 shows the experimental steady-state conversion of CO2 to CO and H2O to H2 as a function of (a) T in the range of 1723–1873 K at pO2 = 1 Pa, ṅsweep/ṅoxidant = 2.4, and (b) ṅsweep/ṅoxidant ranging from 1–5 at T = 1873 K, pO2 = 0.5 Pa. The thermodynamic limits are also indicated, denoted by a band whose upper and lower bounds are calculated as described above at Tshell and the estimated reaction temperature, Tshell − 50 K, respectively. The band is wider for CO2 than that for H2O because its reaction favorability changes more steeply with T. Like the gas production rates, the conversion of reactants shown in Fig. 4a increased with T, as expected. The conversion also increased at higher relative sweep rates shown in Fig. 4b, because ṅsweep/ṅoxidant determines the total amount of O2 that can be removed across the membrane at equilibrium. In fact, the thermodynamic analysis reveals that the trend in production rates observed in Fig. 3c is more attributable to varying ṅsweep/ṅoxidant than pO2. The pO2 in the sweep gas must be lower than pO2 in the oxidant stream at all points along the membrane to drive transfer of O2. At sufficiently low pO2, however, this parameter does not have a strong influence on the conversion of reactants, shown in Fig. S3 in the ESI.† In the range of pO2 observed in the experiments (0.2–0.9 Pa), the theoretical conversion of each reactant at constant ṅsweep/ṅoxidant is almost flat, while the experimental data points exhibit a trend due to varying relative sweep rates. In contrast, the same experimental data plotted against ṅsweep/ṅoxidant shown in Fig. 4b match the shape of the equilibrium limit curves.
In general, the results indicate that the reactor performance indeed approaches the thermodynamic limit for a countercurrent flow reactor. Importantly, the experimental conversion does not exceed the theoretical limit. Furthermore, the experimental points lie closer to the lower bound of the equilibrium region, suggesting that the simple heat transfer model is necessary and effective to estimate the reaction temperature. While the experimental conversion of H2O closely follows the lower bound of the predicted thermodynamic limit, the experimental conversion of CO2 falls short. The discrepancy is less than a factor of two and may be a result of the water–gas shift (WGS) reaction occurring at lower T downstream of the reactor, before the GC analysis. The WGS consumes some CO to produce additional H2 and is thus the difference of the CO2 and H2O dissociation reactions (eqn (2) minus eqn (1)):
CO + H2O ↔ H2 + CO2 | (7) |
In this case, the GC measurements may not be representative of the composition in the reactor; the actual conversion of CO2 may have been higher, and the conversion of H2O lower, potentially equalizing the difference seen in Fig. 4 between the experimental data and the limit for each gas.
Fig. 5 illustrates the effect of the molar feed ratio, CO2:H2O, on the: (a) steady-state average production rates of fuel and O2, (b) conversions of CO2 and H2O, and (c) molar ratio of the two fuels produced, CO:H2. Fig. 5b and c show the comparison of the results measured experimentally with those predicted from thermodynamics. The relative flow rates of CO2 and H2O were varied while maintaining the steam feed rate at 5 g h−1 H2O, temperature at 1873 K, and pO2 at 0.5 Pa. Fig. 5a shows that the overall fuel production (sum of H2 and CO) increased with CO2:H2O, as did the production rate of CO, which occurred because the total feed rate and CO2 feed rate both increased. The production rate of H2, on the other hand, decreased with CO2:H2O. It must be emphasized that ṅsweep/ṅoxidant did not remain constant over experimentation, but rather decreased with CO2:H2O because the flow rate of sweep gas remained constant. A constant flow rate of sweep gas is less effective at maintaining low pO2 as the amount of O2 to be removed increases. In the case of CO, the effect of increasing CO2 feed rate compensated for the decreasing sweep ratio, so that the net production rate increased. However, the H2 production decreased.
The confounding factors of changing both the total feed rate and the relative sweep rate are accounted for by plotting conversion instead of the production rate in Fig. 5b. As seen in Fig. 4, the absolute values of H2O conversion in Fig. 5b again match the model results better than those for CO2. The experimental conversions of both CO2 and H2O decreased slightly with increasing CO2:H2O, in agreement with the trend predicted at equilibrium. There are two contributions to the negative trend in conversion. First, as already mentioned, ṅsweep/ṅoxidant decreased with CO2:H2O, which decreased the conversion. However, the conversion of each reactant is predicted to decrease slightly with CO2:H2O even with a constant ṅsweep/ṅoxidant. The second reason for the trend is related to the difference in favorability of thermolysis of CO2 and H2O. As the feed ratio increases, a higher proportion of the feed is CO2, which has a higher conversion than H2O under these conditions. In fact, the overall conversion of reactants to products actually increased slightly with increasing CO2:H2O. However, the O2 capacity of the sweep gas was unchanged and therefore the conversion of each individual reactant must decrease to balance the production of O2 with its removal. This result indicates that a feed of CO2 requires a higher relative sweep rate than an equal feed of H2O, because its higher potential conversion leads to a larger amount of O2 that must be removed.
Consistent with Fig. 5a, Fig. 5c shows that the product ratio CO:H2 increased with increasing feed ratio CO2:H2O, as expected intuitively. Interestingly, CO:H2 is always greater than the corresponding CO2:H2O, which further confirms that dissociation of CO2 is more favorable than that of H2O under equivalent conditions. The observed experimental trend qualitatively matches equilibrium thermodynamics, though with a smaller slope, because the experimental conversion of CO2 is lower than predicted. In consideration of downstream processing, the Fischer–Tropsch synthesis favors a syngas feed with 1:2 moles CO:H2.37,38 According to Fig. 5c, the product ratio can be adjusted via the feed ratio, and a 1:2 product ratio would require a feed ratio smaller than the minimum tested here.
The maximum conversions observed experimentally were 1.0% CO2 and 0.4% H2O at 1873 K, ṅsweep/ṅoxidant = 5, and 0.2 Pa O2 (0.7% overall conversion of reactants). In general, the absolute values of both theoretical and experimental conversion were lower in the co-feed case tested here than in the pure-CO2 feed case tested previously,12 because the relative sweep rates were lower in this set of experiments. The base case ṅsweep/ṅoxidant was 8 in pure-CO2 experiments and 2.4 in these co-feed experiments. The relative sweep rate is a significant parameter for sweep gas operation, and the application of the countercurrent flow model was essential to accurately predict the behavior of the reactor. Furthermore, although there was no effort to optimize the efficiency of the reactor in these proof-of-concept experiments, ṅsweep/ṅoxidant also impacts efficiency because it determines how much sweep gas must be heated and circulated per unit fuel produced.
The solar thermochemical membrane reactor unifies both CO2 and H2O splitting in a single modular and scalable device and offers a technically viable pathway to single-step syngas production. However, determining an appropriate relative sweep rate is challenging in co-feed operation because the different favorability for thermolysis of CO2 and H2O implies different optimums for each species. In addition, these energetic differences mean that H2O needs to be fed in large excess to achieve a desirable syngas composition. Therefore, it may still be attractive to produce CO and H2 separately and mix them into syngas as needed. Furthermore, the single-step approach incorporated in the membrane reactor must compete with multistep cycles currently available. Thus, further R&D and alternative membrane configurations are needed to boost mass conversions and consequently reach favorable solar-to-fuel energy efficiencies, a challenge because T and pO2 determine the thermodynamic limits.
Footnote |
† Electronic supplementary information (ESI) available. See DOI: 10.1039/c8re00218e |
This journal is © The Royal Society of Chemistry 2019 |