What factors does the Carnot engine efficiency formula relate to?

The efficiency formula of a Carnot engine is fundamentally linked to the temperature difference between the hot and cold reservoirs. The Carnot efficiency is expressed as the ratio of the difference in temperatures of these two reservoirs to the temperature of the hot reservoir. This relationship highlights that the maximum possible efficiency of a heat engine depends primarily on the temperatures at which it operates.

As the temperature difference increases, the potential efficiency of the engine also increases, demonstrating how the heat energy from the hot reservoir can be more effectively transformed into work. Hence, for an idealized Carnot engine, efficiency is maximized when the temperature difference is significant, emphasizing that only the temperature factors influence its theoretical performance.