The current industrially relevant CO₂ capture technologies require high operating and capital costs or are energy-intensive, rendering them inefficient and unsustainable for long-term use. The higher operating cost is primarily due to the energy-intense swing of pH- or temperature-dependent equilibrium of CO₃²⁻ and HCO₃⁻ to capture CO₂. CO₂ can be captured in an aqueous solution with OH⁻ to convert it into HCO₃⁻, which can be turned back into CO₃²⁻ and CO₂ using either temperature or pH swing. This captured CO₂ can be either sequestered or chemically transformed into a usable product. The challenges with this technology are the limited carbon capacity of the aqueous solvent system, higher energy requirement for solvent regeneration, and loss of solvent through evaporation. The water-dependent equilibrium of CO₂ with CO₃²⁻ and HCO₃⁻ can be a cost-effective alternative to the existing technologies. Here, we exploit this phenomenon by establishing a water gradient across an anion exchange membrane that separates organic solvent and an aqueous solution. The organic solution contains ethylene glycol saturated with KOH that captures CO₂ from dilute sources such as air or flue gas and produces a high concentration of HCO₃⁻ that migrates towards the aqueous side, where HCO₃⁻ converts back to CO₂ for its end-use. The current efficiency of CO₂ capture is nearly 100%, with a tunable flux CO₂ capture flux that is controlled by the applied current density. The water-dependent CO₂ capture and release kinetics are measured using in situ Fourier-transform infrared spectroscopy and validated using density functional theory. A detailed transport model confirms the CO₂ capture, transport, and release mechanism for varying water concentration in the organic solution, membrane thickness, and the applied current. Machine learning model predicts the performance curve for this process that relates CO₂ saturation in aqueous solution to the CO₂ capture efficiency, relative humidity of flue gas, and current density. The validated prototype of the electrodialysis system showed an unprecedented CO₂ capture flux of 2.3 mmol m⁻² s⁻¹, which is 100 times higher than the state-of-the-art existing CO₂ capture technologies. The technoeconomic analysis predicts ∼$145 per ton of CO₂ for 1000 ton per hour of CO₂ capture capacity.