This is based on Boyle's Law, which states that for a fixed amount of gas at a constant temperature, the pressure and volume are inversely proportional.
Mathematically, this is represented as:
P₁V₁ = P₂V₂
Where:
* P₁ = Initial pressure
* V₁ = Initial volume
* P₂ = Final pressure
* V₂ = Final volume
If P₂ = 2P₁ (pressure is doubled), then:
P₁V₁ = 2P₁V₂
V₂ = V₁ / 2