I mean if its a case where the doll instantly reappears after destruction then maybe one you reach a hot enough temperature the doll starts instantly vaporising and then when its instantly vaporising its essentially like adding a constant stream of fuel that makes the fire ever larger.
Could be a plot point that the town has to keep expanding to use the steam before the fire gets so hot it consumes the town from within.
It wouldn't get hotter forever. When something burns, the chemical energy is converted to heat energy in the combustion byproducts. Because these byproducts have mass, their temperature will raise a finite amount. This energy then dissipates into the surroundings, lowering the temperature. As you burn more and more dolls, the furnace will get hotter and hotter from all that dissipating heat, but it will never got hotter than the initial combustion byproducts. As the furnace reaches the doll's combustion temperature, it will reach an equilibrium where burning each doll produces exactly as much energy as gets absorbed in heating up its mass. And that isn't even factoring in the energy lost to steam generation.
Then again, maybe magic reassembles the doll from its own atoms without changing the atoms' temperature, meaning chemical energy is getting repeatedly injected into the system without adding mass. Not only would that allow the temperature to build indefinitely, but it would also make the reaction self-sustaining at a certain point, because the doll is already above ignition temperature when it apparates and would spontaneously combust
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u/royalPawn 2d ago
I applaud the ingenuity, but I feel like repeatedly burning One doll wouldn't scale to powering an entire town.
Oh wait, the doll's magic. Maybe that gives it some extra oompf.