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Question:

Max temperature of a Stirling engine?

also, minimum. how hot does the air get, and how cold does it get?

Answer:

Stirling engine designs require heat exchangers for heat input and for heat output, and these must contain the pressure of the working fluid, where the pressure is proportional to the engine power output. So max temperature depends on the materials the engine is built. More temperature differencial means lower or higher temperatures. Stirling engines thas are used in cryocoolers are able to lift heat down to ?200 °C (73 K)!

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