P₁V₁ = P₂V₂
Where:
* P₁ = Initial pressure
* V₁ = Initial volume
* P₂ = Final pressure
* V₂ = Final volume
Here's how it works:
* Imagine a container with a fixed amount of gas. The gas molecules are constantly moving and colliding with the walls of the container, creating pressure.
* If you decrease the volume of the container (make it smaller), the gas molecules have less space to move around.
* This means they collide with the walls more frequently, increasing the pressure.
* Conversely, if you increase the volume of the container, the gas molecules have more space, collide with the walls less frequently, and the pressure decreases.
Examples:
* A bicycle pump: As you push down on the plunger, you decrease the volume inside the pump. This increases the pressure, which forces air into the tire.
* A balloon: When you blow into a balloon, you increase the volume inside it. The pressure inside the balloon decreases, but the balloon expands to accommodate the added air.
Important Considerations:
* Boyle's Law only applies if the temperature and the amount of substance remain constant. If these factors change, the relationship between pressure and volume will also change.
* This relationship is also important in other contexts, such as in the human body (e.g., breathing), where the pressure difference between the atmosphere and the lungs allows air to flow in and out.
