Theoretical thermodynamic efficiency limit of isothermal solar fuel generation from H₂O/CO₂ splitting in membrane reactors

Solar fuel generation from thermochemical H₂ O or CO₂ splitting is a promising and attractive approach for harvesting fuel without CO₂ emissions. Yet, low conversion and high reaction temperature restrict its application. One method of increasing conversion at a lower temperature is to implement oxygen permeable membranes (OPM) into a membrane reactor configuration. This allows for the selective separation of generated oxygen and causes a forward shift in the equilibrium of H₂ O or CO₂ splitting reactions. In this research, solar-driven fuel production via H₂ O or CO₂ splitting with an OPM reactor is modeled in isothermal operation, with an emphasis on the calculation of the theoretical thermodynamic efficiency of the system. In addition to the energy required for the high temperature of the reaction, the energy required for maintaining low oxygen permeate pressure for oxygen removal has a large influence on the overall thermodynamic efficiency. The theoretical first-law thermodynamic efficiency is calculated using separation exergy, an electrochemical O₂ pump, and a vacuum pump, which shows a maximum efficiency of 63.8%, 61.7%, and 8.00% for H₂ O splitting, respectively, and 63.6%, 61.5%, and 16.7% for CO₂ splitting, respectively, in a temperature range of 800^◦ C to 2000^◦ C. The theoretical second-law thermodynamic efficiency is 55.7% and 65.7% for both H₂ O splitting and CO₂ splitting at 2000^◦ C. An efficient O₂ separation method is extremely crucial to achieve high thermodynamic efficiency, especially in the separation efficiency range of 0–20% and in relatively low reaction temperatures. This research is also applicable in other isothermal H₂ O or CO₂ splitting systems (e.g., chemical cycling) due to similar thermodynamics.