Solvent extraction, also known as liquid-liquid extraction, is a method used to separate compounds based on their relative solubilities in two different immiscible liquids, usually water and an organic solvent. It involves transferring solutes from a feed solution to another immiscible liquid called the extract. Solvent extraction was first developed in analytical chemistry and is now widely used in hydrometallurgy and other industries to separate and extract various metals, rare earth elements, and other compounds. Key aspects of solvent extraction processes include the selection of appropriate organic solvents and diluents, extraction equipment like mixer-settlers or columns, and multi-stage counter-current contacting to efficiently separate solutes.