Effusion

Definition

Gas escaping through a tiny hole into an empty space. Lighter gases leak out faster, which is how uranium isotopes were once separated.

rate1rate2=M2M1\frac{rate_1}{rate_2} = \sqrt{\frac{M_2}{M_1}}

Technical definition

Effusion is the passage of gas molecules through a pinhole into a vacuum without collisions, with rates governed by Graham's law: the rate is inversely proportional to the square root of molar mass.

Example

Hydrogen (molar mass 2) effuses 4 times faster than oxygen (molar mass 32), since the square root of 32/2 is 4. The same principle was once used to enrich uranium-235.

Common confusion

Graham's law compares rates of effusion, not amounts, and it assumes the gases are at the same temperature, since molecular speed depends on temperature.