Nicolas Léonard Sadi Carnot proved a fundamental limitation on engines’ efficiencies, which governs engines that draw energy from heat, rather than from, say, the motional energy of water cascading down a waterfall.
Carnot cap the engines’ efficiencies that prevents engineers from wasting their time on daydreaming about more-efficient engines.
Carnot’s theorem encapsulates the second law of thermodynamics, which helps us understand why time flows in only one direction.
The engine mustn’t waste heat and one can keep the gas quiescent only by running the cycle infinitely slowly, so perfect efficiency is achievable only in principle, not in practice.
Carnot’s theorem provides what physicists call a sanity check whenever researchers devise a new heat engine.
Carnot’s theorem also serves as a school exercise and a historical tipping point.
Carnot’s theorem is practical and fundamental, pedagogical and cutting-edge.
Carnot upper-bounded the efficiency achievable by every heat engine of the sort described above.
Capping engine efficiencies caps the output one can expect of a machine, factory, or economy.
The Carnot cycle provides intuition, serving as a simple example on which thermodynamicists try out new ideas, such as quantum engines.