This lecture introduces the concept of a flash drum, a device used for the separation of liquid and vapor phases in chemical engineering. The instructor explains the operational principles of the flash drum, emphasizing the process of partial vaporization. The lecture details the mass and energy balance equations necessary for understanding the relationships between various components, such as feed, liquid, and vapor. The instructor discusses the importance of defining the system and the components involved, including ethanol and water, and how to perform mass balances for each component. The equilibrium relationship is also covered, along with the energy balance that accounts for the heat added during the separation process. The lecture further explores the complexities of multi-component systems and introduces the Rachford-Rice equation, which is essential for solving these systems. The instructor highlights the iterative methods used to find solutions in cases where multiple components are involved, ensuring a comprehensive understanding of the flash drum's role in separation processes.