Ideal Gas Law

Theorem: Ideal Gas Law

The pressure $p$ which an ideal gas exerts on the walls of the container it occupies is related to the volume $V$, the temperature $T$ of the gas and the number of gas particles $N$ by the equation:

$$pV=k_{B}NT,$$

where $k_B$ is the Boltzmann constant.

NOTE

Alternatively, the law can be expressed via the molar gas constant $R$ and the amount of substance $n$:

$$pV=nRT$$

PROOF

TODO