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This lecture introduces the Carnot cycle, a key thermodynamic cycle composed of two adiabats and two isotherms, explaining how to calculate its efficiency by analyzing heat exchanges and temperatures. The instructor demonstrates the Carnot cycle's efficiency formula and compares it with the efficiency of an auto-reversible engine, showing that the Carnot cycle's efficiency is always higher. The lecture also highlights the importance of using absolute temperatures in efficiency calculations and discusses the challenges of increasing the high-temperature source in engines. Through detailed diagrams and calculations, the lecture provides a comprehensive understanding of optimizing efficiency in thermodynamic systems.