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How do I calculate how much air expands when heated? Answered

I want to build an air operated damper control for a wood stove. I'm thinking of a tube attached to the stack, so that the air in it expands and moves a piston or diaphram to work the damper.


PV = NRT. T is absolute temperature (in Kelvins), N is the number of atoms, and R is Rankine's constant.