Chromatography, meaning 'color writing,' is a method for separating mixtures of organic and inorganic compounds based on different properties such as solubility and molecular size. It involves various techniques including liquid, gas, thin-layer, and paper chromatography, each with specific applications like forensic analysis and pollution testing. The process allows scientists and law enforcement to identify and quantify substances in complex mixtures through differential migration of solutes in a mobile phase relative to a stationary phase.