Derive the relationship between v1 and v2, the volumes of a gas at two pressures, p1 and p2

P₁V₁ = P₂V₂.

Explanation:

So, for two different values of both P and V:

∴ P₁V₁ = P₂V₂.

the old alchemists made significant contributions to science even though there starting premises were off a bit. their conclusions after failure would steer them into better directions for investigation. science is no more than close observation and the initial mistakes result in rethinking and retrying experiments.