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If things behaved this way,

If things behaved this way, if trapping heat could raise the temperature above the temperature creating the heat, then ALL of thermodynamic research in the 1800鈥瞫 would have revolved around exploiting this and today we would have devices which could create an internal extremely high temperature (to use for doing useful work with) with only a minuscule, tiny input; say, a AAA battery and tiny resistor could be used to generate 5000K inside a shell, and then you could smelt some steel or something with a AAA battery. Instead they created steam engines powered by coal and developed things like the Carnot Cycle. They never ever developed anything about trapping heat to create higher temperature than the input. What they found when they tried to do so, was what was eventually codified into the Laws of Thermodynamics.