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I have found the following formula to calculate the expansion of air by a temperature change, if the pressure stays at the same level: ΔV = ​ɣ * V0 * ΔT

This would give me an expansion of 46.96m3 in a 4000m3 tank by a temperature change of 3K.

46.96m3 = 1/273 * 4000 * 3

Is there an influence of the air humidity in this calculation and if yes, how much is it and how to calculate it?

I would guess there is a small one since the water expands also somehow on a temperature change.

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