What theoretical principles provide the conceptual framework for chemical engineering practices, guiding the design and optimization of industrial processes and materials? Explore the foundational theories that underpin the field, such as thermodynamics, kinetics, and transport phenomena, and their applications in diverse industries. How do these theoretical constructs elucidate the behavior of chemical substances at molecular and macroscopic scales, facilitating the development of efficient processes and innovative materials? Investigate the role of mathematical modeling in translating theoretical concepts into practical solutions, enabling engineers to predict and control complex reactions and transport processes. Furthermore, delve into the intersection of chemical engineering with other disciplines, such as quantum chemistry and materials science, and how these interdisciplinary approaches enhance our understanding and manipulation of chemical systems. Ultimately, how do theoretical frameworks empower chemical engineers to address pressing challenges and drive technological advancements in society?