This lecture focuses on the design of distillation columns, emphasizing the importance of feed conditions and equilibrium stages. The instructor begins by discussing the operating lines for both the top and bottom sections of the column, illustrating how they intersect at the feed point. The concept of equilibrium stages is clarified through interactive polling questions, where students identify which components of the distillation setup are not equilibrium stages. The instructor explains the significance of feed quality, detailing how different states of feed—such as subcooled liquid, saturated liquid, and superheated vapor—affect the distillation process. Mathematical relationships are established to describe the interactions between the vapor and liquid phases, leading to the formulation of a feed equation. This equation is crucial for understanding how to calculate the overall performance of the distillation column based on the feed's composition and quality. The lecture concludes with a summary of how to graphically represent these concepts in the context of distillation column design.