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This lecture covers the main analytical separation methods based on physical principles, including separations by state change (e.g., distillation, sublimation), phase transfer (e.g., liquid-liquid extraction), phase change (e.g., decantation, centrifugation), membrane separations, and migration separations (e.g., chromatographic, electrophoretic). The instructor explains the principles behind each method and their applications in separating different compounds effectively.