Colligative properties are solution properties that depend on the number of solute particles, not their identity. The episode focuses on freezing point depression and boiling point elevation. In these calculations, m is molality (moles of solute per kilogram of solvent), Kf​ and Kb​ are solvent-specific constants found on a reference table, and i is the van 't Hoff factor, which accounts for how many particles a solute breaks into. For example, a non-electrolyte like glucose has i=1, while a substance like NaCl has i=2. The episode emphasizes avoiding common errors like confusing molality with molarity and forgetting the van 't Hoff factor, highlighting how these principles explain practical applications like salting roads in winter.