This is due to Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume at a constant temperature.
Mathematically, this can be expressed as:
P₁V₁ = P₂V₂
Where:
* P₁ = Initial pressure
* V₁ = Initial volume
* P₂ = Final pressure
* V₂ = Final volume
Since the volume doubles (V₂ = 2V₁), the pressure must decrease by half (P₂ = P₁/2) to maintain the equality.