Electrolytically Driven Chemical Reactor

Reaction schemes involving acids and bases; reactors comprising spatially varying chemical composition gradients (e.g., spatially varying pH gradients), and associated systems and methods, are generally described. For example, methods comprising producing an acid and a base via electrolysis; dissolving a material comprising calcium using the acid to produce ions comprising calcium in a region of a reactor with a pH of 6 or less; precipitating solid calcium hydroxide from the ions comprising calcium using the base in a region of a reactor with a pH of 10 or higher; and utilizing the calcium hydroxide in a downstream process to form a cement are described.