the principles of chemical engineering be effectively applied in various industrial processes to optimize reaction kinetics, enhance product yields, and minimize environmental impact? Specifically, how do factors such as thermodynamics, fluid dynamics, mass transfer, and heat transfer contribute to the design and operation of chemical reactors and separation units? Additionally, what theoretical frameworks and mathematical models are utilized to predict and control process behavior, ensuring efficient production while maintaining product quality and safety standards? Furthermore, how do advancements in areas like computational modeling, nanotechnology, and renewable energy integration shape the evolution of chemical engineering theories, paving the way for sustainable and innovative solutions to global challenges?