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

\(\large{ p_1 \; V_1 = p_2 \; V_2 }\)

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:

\(\large{ p_1 =  \frac  {p_2 \; V_2} {V_1} }\)
\(\large{ V_1 =  \frac  {p_2 \; V_2} {p_1} }\)
\(\large{ p_2 =  \frac  {p_1 \; V_1} {V_2} }\)
\(\large{ V_2 =  \frac  {p_1 \; V_1} {p_2} }\)