# Boyle's law

### Boyle's Law

Boyle's law is about the relationship between pressure and volume if temperature and the amount of molecules are held constant.

The volume of a fixed mass of gas is inversely proportional to the pressure at a constant temperature.

The relation can also be written as pressure times volume equals a constant:

#### PV=k

An increasing container volume decreases the pressure.
A decreasing container volume increases the pressure.

At constant temperature
P1V1 = P2V2

When the volume of a container decreases, the distance between the gas molecules shrink. As a result of this they bump into each other more often than if they where farther apart. The increased molecular movements push at the walls inside the container and increases the pressure.

Boyle's law.

Example: A balloon with a volume of 1000.0 L (V2) is filled with a gas at 1 atmospheres (P2). If the pressure is reduced to 0.319 atmospheres (P1) (altitude 8000m) without a change in temperature ( T1 , T2 = 300 Kelvin ), what would be the new volume of the balloon?
Answer ( image below ): 3134 L 