Pressure from Kinetic Theory (P = (1/3)nm·v²_rms = (1/3)ρ·v²_rms)

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P = (1/3)nm·v²_rms = (1/3)ρ·v²_rms

What each symbol means

SymbolWhat it stands for
PPressure of gas (Pa)
mMass of one molecule (kg)
nNumber density = N/V (molecules per m³)
ρMass density = nm (kg/m³)
v²_rmsMean of squared speed (m²/s²)

When to use this

Derived assuming elastic collisions, isotropic velocity distribution, negligible molecular volume. The 1/3 factor arises from isotropy: v²_x = v²_y = v²_z = v²/3.