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This lecture covers the concept of phase diagrams, focusing on eutectic type phase diagrams and the liquidus slope. It explains how different concentrations of solute affect the phases present in a system, and how to determine the liquidus and solidus curves. The lecture also discusses the segregation coefficient, liquid and solid fractions, and the law of levers in equilibrium conditions. Additionally, it explores the construction of phase diagrams based on the minimization of Gibbs free energy. The indeterminacy of solid and liquid fractions at certain points is addressed, along with Scheil's law for estimating solute distribution during phase transitions.