Open Access Article
Meenesh R.
Singh
a,
Kimberly
Papadantonakis
b,
Chengxiang
Xiang
*b and
Nathan S.
Lewis
*bc
aJoint Center for Artificial Photosynthesis, Lawrence Berkeley National Laboratory, Berkeley CA 94720, USA
bJoint Center for Artificial Photosynthesis, California Institute of Technology, Pasadena CA 91125, USA. E-mail: cxx@caltech.edu; nslewis@caltech.edu
cDivision of Chemistry and Chemical Engineering, California Institute of Technology, 210 Noyes Laboratory, 127-72, Pasadena, CA 91125, USA
First published on 30th June 2015
The solution transport losses in a one-dimensional solar-driven water-splitting cell that operates in either concentrated acid, dilute acid, or buffered near-neutral pH electrolytes have been evaluated using a mathematical model that accounts for diffusion, migration and convective transport, as well as for bulk electrochemical reactions in the electrolyte. The Ohmic resistance loss, the Nernstian potential loss associated with pH gradients at the surface of the electrode, and electrodialysis in different electrolytes were assessed quantitatively in a stagnant cell as well as in a bubble-convected cell, in which convective mixing occurred due to product-gas evolution. In a stagnant cell that did not have convective mixing, small limiting current densities (<3 mA cm−2) and significant polarization losses derived from pH gradients were present in dilute acid as well as in near-neutral pH buffered electrolytes. In contrast, bubble-convected cells exhibited a significant increase in the limiting current density, and a significant reduction of the concentration overpotentials. In a bubble-convected cell, minimal solution transport losses were present in membrane-free cells, in either buffered electrolytes or in unbuffered solutions with pH ≤ 1. However, membrane-free cells lack a mechanism for product-gas separation, presenting significant practical and engineering impediments to the deployment of such systems. To produce an intrinsically safe cell, an ion-exchange membrane was incorporated into the cell. The accompanying solution losses, especially the pH gradients at the electrode surfaces, were modeled and simulated for such a system. Hence this work describes the general conditions under which intrinsically safe, efficient solar-driven water-splitting cells can be operated.
Broader contextContact with strongly acidic or alkaline electrolytes presents significant challenges to the stability of some prospective catalysts and light absorbers, particularly when rare elements are not utilized in the system. Considerable efforts are being directed toward systems that employ electrolytes with neutral or near-neutral pH values to circumvent the materials stability challenge. To develop an efficient, intrinsically safe, and scalable solar-driven water-splitting system that operates at near-neutral pH, the rates of gas crossover, concentration-overpotential losses, electrolyte resistive losses, and electrodialysis processes must be minimized simultaneously. While some studies have shown unassisted solar-driven water-splitting in a membrane-free cell, an efficient and intrinsically safe cell that provides robust gas collection and separation has yet to be demonstrated at near-neutral pH conditions. Herein we have evaluated quantitatively, using mathematical modeling, the various loss mechanisms and safety considerations involved in a one-dimensional (1-D) solar-driven water-splitting system that operates either in concentrated acid, dilute acid or buffered electrolytes at near-neutral pH, with or without membrane separators. |
Contact with strongly acidic or alkaline electrolytes presents significant challenges to the stability of some prospective catalysts and light absorbers, particularly when rare elements (such as Ir) are not utilized in the system, to minimize the materials cost and improve the potential system scalability.22–24 Many technologically important semiconductors (such as Si, GaAs, CdTe, and InP) are unstable in either strong acid or strong base, and to date only catalysts derived from noble metals exhibit active and stable electrocatalysis of the oxygen-evolution reaction (OER) in strong acid.25 Considerable efforts are being directed toward the discovery and development of new earth-abundant light absorbers and electrocatalysts that will be stable under such conditions, whereas other efforts have been directed toward systems that employ electrolytes with neutral or near-neutral pH values.6,26–28 Solar-driven water-splitting devices consisting of a set of discrete photovoltaic cells connected electrically in series with a separate two-electrode electrolysis cell operated using electrolytes with near-neutral pH values have demonstrated solar-to-hydrogen efficiencies as high as 10%.6 However, such systems lack a mechanism for separation of the products, and thus are not intrinsically safe because co-evolved, stoichiometric mixtures of H2(g) and O2(g) are produced. Moreover, the incorporation of membranes, to provide for robust product separation in such near-neutral pH solar-to-hydrogen systems, yields large reductions in the system efficiency and also produces significant pH gradients near the electrode surfaces, subjecting the electrodes to increasingly corrosive local environments and typically changing the chemical form of the electrocatalysts to reflect the change in the local pH near the electrode surface.27
To develop an efficient, intrinsically safe, and scalable solar-driven water-splitting system that operates at near-neutral pH, the rates of gas crossover, concentration-overpotential losses, electrolyte resistive losses, and electrodialysis processes must be minimized simultaneously. The trade-offs between the efficiency of the device and the product-gas crossover in a membrane-based and a membrane-free solar-driven water-splitting system have been evaluated experimentally for operation using a buffered electrolyte.27 The membrane-free device exhibited significant product-gas crossover, with 10% O2(g) found in the cathode chamber and up to 40% H2(g) measured in the anode chamber.27 An accompanying modeling analysis showed that an integrated system operating at a current density of 2.5 mA cm−2 with an electrolyte buffered at pH = 9.2 would locally produce pH > 13 at the photocathode and locally produce pH ≤ 7 at the photoanode, in addition to producing a severe reduction in the system efficiency.27
Such changes in the near-electrode pH that accompany electrolysis in a full system thus confound a strategy of utilizing electrolytes with neutral or near-neutral bulk pH values to relax the requirements for materials stability. Moreover, almost all near-neutral pH devices constructed to date lack a membrane separator that can facilitate transport of buffer ions between the cathode and anode chamber. The lack of a mechanism to prevent the diffusive and convective product-gas crossovers, especially in monolithically integrated solar–hydrogen devices, where the rate of product-gas evolution would be highly non-uniform both spatially and temporally, would present significant safety concerns for deployment of such devices at large scale. Herein we have evaluated quantitatively, using mathematical modeling, the various loss mechanisms and safety considerations involved in a one-dimensional (1-D) solar-driven water-splitting system that operates either in concentrated acid, dilute acid or buffered electrolytes at near-neutral pH, with or without membrane separators. We first describe the 1-D mathematical model for the transport of ionic, neutral, and buffer species in the electrolyte. We then describe the use of the model to explore the effects of the initial electrolyte pH, the convective mixing in the cell, the concentrations and types of buffered species in the electrolyte, and the use of ion-exchange membranes, as well as to understand the operational near-electrode pH values and voltages needed to drive the water-splitting reaction at specific current densities in such systems.
In one set of simulations, the electrolyte in the photoelectrochemical cell was assumed to be stagnant (i.e., without convective flow). A boundary layer thickness of 2 mm was used in the stagnant cell. For comparison, in the other set of simulations, convective forces were introduced by allowing for the evolution of bubbles from the electrode surfaces. This process resulted in a circulatory flow pattern in the electrolyte that determined the thickness of the boundary layer at the electrode surface.30 Effective diffusion coefficients for solution species were employed beyond the hydrodynamic boundary layer in the bulk solution to account for the convective forces in the cell. The detailed calculation of the effective diffusion coefficient based on the solution velocity perpendicular to the electrode surface and the tabulated values can be found in the ESI.† For the bubble-convected cell, the boundary-layer thickness decreased as the operating current density increased. A weak dependence of the measured boundary-layer thickness on the operating current density was observed due to the bubble evolution close to the electrode surface. Moreover, the potential loss at lower current densities was not significant. Hence, a boundary-layer thickness of 50 μm at the electrode surfaces, with the corresponding spatially averaged current density of ∼10 mA cm−2, was assumed in the calculation.30
The bubble-covered electrode surface during HER or OER resulted in a decrease of the active catalyst area and an increase of the kinetic overpotential. Increasing the bubble-coverage area on the electrodes can also increase the mixing in the electrolyte. The percentage coverage of bubbles on electrodes were 5%, 10%, and 20% for normalized current densities of 1 mA cm−2, 10 mA cm−2, and 100 mA cm−2, respectively.31 A 10% bubble coverage that corresponds to the current density of 10 mA cm−2 was used to calculate the average velocity of electrolyte perpendicular to the electrode. Increasing the bubble coverage area to 10% will reduce the exchange-current density in the Butler–Volmer expression by 10%, which does not have a significant effect on the kinetic overpotential. Moreover, the additional kinetic overpotential loss due to the increased bubble coverage at the electrode surface does not affect other solution transport losses in the calculation.
In the simulation of membrane-based cells, the anion-exchange membrane (AEM) was modeled as having diffusion coefficients of anions and cations that were 10−1 and 10−2 lower, respectively, than the corresponding values in the bulk solution. For the cation-exchange membrane (CEM), the diffusion coefficients of anions and cations were modelled as 10−2 and 10−1 lower, respectively, than their corresponding values in the bulk solution. A fixed background charge was assumed in the ion-exchange membranes.
gradients):Δϕcell = E0 + ηOER − ηHER + Δϕsolution + ΔϕpH gradients | (1) |
The solution losses, (Δϕsolution), are the sum of the Ohmic resistance loss (first term) and the electrodialysis loss (second term). These losses can be expressed as:
![]() | (2) |
![]() | (3) |
Fig. 2b shows the transport losses in a pH = 2 solution as a function of the operating current density, in a stagnant cell with or without supporting electrolyte, respectively. Without a supporting electrolyte (solid lines), at high current densities the Ohmic resistance loss (green solid line) dominated the transport loss. Addition of the supporting electrolyte minimized the Ohmic resistance loss (dotted green line), but increased the concentration overpotential associated with the pH gradients at the electrode surface (dotted red line), due to the reduced proton-migration force in the solution. Hence, a lower limiting current density was observed in solutions that contained supporting electrolyte than in those that did not contain added salt. Similar behavior was also observed for the transport losses in bubble-convected systems (Fig. 2d).
Fig. 4b presents the pH at the electrode surface as a function of the operating current density, for membrane-free and membrane-containing cells, respectively. Significant pH gradients were observed in the neutral pH membrane-containing cells, even at operating current densities of <3 mA cm−2. Negligible pH changes were observed in pH 0 electrolytes and significant pH changes were observed for the pH 1 electrolytes at current densities >8 mA cm−2.
:
1O2, a pressure differential will exist between the anolyte and catholyte in any system that facilitates beneficial collection of the H2(g). By Darcy's law, any significant, sustained pressure differential will force fluid from one compartment to the other, eventually leading to catastrophic failure of the system. Hence membranes or separators are integral components of commercial electrolyzer systems. Modern membrane-electrode assemblies (MEA) for use in compact electrolyzers are only efficient and viable in acidic or alkaline media, because protons or hydroxide ions must traverse the membrane to provide charge balance, while neutralizing the pH gradient that would otherwise develop as a result of local acidification of the electrolyte near the anode (while it is producing O2 and thus liberating protons), and local increases in the pH of the electrolyte near the cathode (while it is consuming protons in conjunction with evolution of H2 from water). At near-neutral pH, in the presence of buffers or salts that are needed to provide acceptable conductivity and thus tolerable Ohmic resistance losses, the transference number of the salt far exceeds that of the protons or hydroxide ions, whose concentrations are obviously minimal at near-neutral pH. Hence instead of neutralizing the pH gradient, two concentration gradients are produced, one due to protons and the other due to buffer counter ions that have been driven by migration, in a process called electrodialysis, across the membrane. Note that although either passive or forced convective mixing can establish a steady-state concentration profile in such a system, convection cannot eliminate the local concentration gradient nor the Ohmic resistance losses, and will serve to increase the gas crossover and vulnerability to pressure differentials that the membrane was designed to prevent.
The same principles can be reasonably applied as mandatory design criteria for a deployable solar-driven water-splitting system, whether the system is fully integrated or is instead comprised of a discrete electrolyzer connected to a discrete photovoltaic cell or module. Moreover, for efficient cell operation, the operating electrolysis current densities need to exceed 10 mA cm−2 while solution transport losses are minimized. As shown in Fig. 2, concentrated acids allow for such conditions to be met either in stagnant or in bubble-convected cells, but in the absence of a membrane such systems do not allow for robust product separation and thus are not intrinsically safe. Stagnant systems in the dilute electrolytes or in the buffered electrolyte systems that did not contain a membrane are inefficient and only yield small limiting current densities. In contrast, bubble-induced convection in the dilute electrolytes or in the buffered electrolyte systems significantly reduces the concentration-overpotential loss associated with pH gradients at the electrode surfaces. Hence such systems produce minimal solution transport losses in either buffered electrolytes or in unbuffered solutions with pH ≤ 1. However, such systems are not intrinsically safe because the bubble-induced convection produces stoichiometric mixtures of H2 and O2 in the presence of active catalysts for the recombination of these gases.
When a membrane is introduced in such systems, both to separate the product gases and to hold back pressure differentials between the anolyte and catholyte to thereby allow for beneficial collection of the H2 into a pipeline, significant potential losses are produced from the resulting pH gradients at the electrode surfaces, in both buffered and unbuffered electrolytes. Even at very low operating current densities (∼1 mA cm−2), more than 6 units of pH difference are produced in cells that contain a CEM (Fig. 4b). Consistently, the resulting concentration overpotentials have been observed experimentally to lead to an operational shut-down at steady-state of such membrane-containing solar-driven water-splitting cells that are operated in electrolytes buffered in the bulk to near-neutral pH values.27
If instead a membrane is inserted into the restricted ionic pathways in the 2-dimensional, back-to-back cell configuration, a large concentration overpotential will develop, and the cell will cease operation, regardless of whether the electrolyte is stagnant or is experiencing convection due to bubble formation.27 As shown in Fig. 4, convection on either side of the membrane does not significantly affect transport through the membrane, which occurs predominantly by diffusion. Hence if a membrane is introduced, to maintain intrinsic safety of the system, the operational performance of such near-neutral buffered pH electrolysis cells will be deleteriously affected and only low solar-to-hydrogen conversion efficiencies will be observed at steady-state.
Footnote |
| † Electronic supplementary information (ESI) available. See DOI: 10.1039/c5ee01721a |
| This journal is © The Royal Society of Chemistry 2015 |