"How does the Gibbs Phase Rule govern the number of degrees of freedom in a system and its phases? Explain the significance of critical points in phase diagrams. How does Le Chatelier's Principle apply to chemical equilibria, and what are its implications in industrial processes? Discuss the role of catalysts in chemical reactions, including their mechanisms and effects on reaction rates. Explain the concept of residence time in chemical reactors and its importance in process design. Describe the principles behind distillation and its applications in separating mixtures."