Boyle's Law states that the product of the pressure and volume of a gas is constant at a constant temperature. Mathematically, this can be expressed as:
```
P₁V₁ = P₂V₂
```
where:
* P₁ is the initial pressure
* V₁ is the initial volume
* P₂ is the final pressure
* V₂ is the final volume
If the volume (V₂) decreases, to keep the product constant, the pressure (P₂) must increase.
Think of it this way:
Imagine a fixed number of gas molecules bouncing around inside a container. When you decrease the volume of the container, you're essentially squeezing the molecules closer together. This means the molecules will collide more frequently with the walls of the container, resulting in a higher pressure.
