Physics — Kinetic Theory of Gas Pressure

P = \frac{1}{3}\frac{Nm\langle v^2\rangle}{V}

PV = \frac{1}{3}Nm\langle v^2\rangle

\tfrac{1}{2}m\langle v^2\rangle = \tfrac{3}{2}k_B T

v_{rms} = \sqrt{\langle v^2\rangle}