At a constant temperature, the volume of a given mass of an ideal gas is inversely proportional to its pressure.
This means that if you double the pressure, the volume will be halved.
Here's the mathematical representation:
* P₁V₁ = P₂V₂
Where:
* P₁ = Initial pressure
* V₁ = Initial volume
* P₂ = Final pressure
* V₂ = Final volume
Example:
If you have a gas with a volume of 10 liters at a pressure of 1 atmosphere, and you double the pressure to 2 atmospheres, the new volume will be:
* V₂ = (P₁V₁) / P₂ = (1 atm * 10 L) / 2 atm = 5 L
Important Note: This relationship holds true for ideal gases, and it's important to consider that real gases may deviate from this behavior at high pressures.
