Here's why:
* Pressure and Volume are Inversely Proportional: Boyle's Law states that at a constant temperature, the pressure of a gas is inversely proportional to its volume. This means that if you increase the volume of a gas, the pressure will decrease proportionally, and vice versa.
* Molecular Collisions: Pressure in a gas is caused by the collisions of gas molecules with the walls of their container. When you increase the volume, the molecules have more space to move around. This means they collide with the walls less frequently, resulting in lower pressure.
Mathematical Representation:
Boyle's Law is expressed mathematically as:
P₁V₁ = P₂V₂
where:
* P₁ is the initial pressure
* V₁ is the initial volume
* P₂ is the final pressure
* V₂ is the final volume
Example:
If you double the volume of a gas while keeping the temperature constant, the pressure will decrease by half.