The document discusses solubility of liquids in liquids through phase diagrams. It provides examples of complete miscibility (ethanol and water), complete immiscibility (water and mercury), and partial miscibility (water and phenol). Systems can show increasing, decreasing, or unchanged miscibility with temperature. Phase diagrams graph temperature vs. composition to illustrate these relationships. The document also discusses solid-liquid systems and eutectic points, where three phases (liquid, solid A, solid B) coexist at the lowest temperature with a single liquid phase.