# Boyle's Law

## Boyle's Law

Boyles Law (one of the Gas Laws) is one derivation of the Ideal Gas Law. An alternate derivation is Charle's law. Boyle's law states that the volume occupied by a given mass of gas varies inversely with the absolute pressure if the temperature remains constant. For a fixed amount of gas kept at a fixed temperature, \(p\) and \(V\) are inversely proportional (while one increases, the other decreases). Boyle's law assumes that there is no temperature change in the process.

### Boyle's Law formula

\(\large{ p_1V_1 = p_2V_2 }\)

Where:

\(\large{ p_1 }\) = pressure at state

\(\large{ p_2 }\) = pressure at state

\(\large{ V_1 }\) = volume at state

\(\large{ V_2 }\) = volume at state

Solve for:

\(\large{ p_1 = \frac {p_2V_2} {V_1} }\)

\(\large{ V_1 = \frac {p_2V_2} {p_1} }\)

\(\large{ p_2 = \frac {p_1V_1} {V_2} }\)

\(\large{ V_2 = \frac {p_1V_1} {p_2} }\)

Tags: Equations for Gas