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States of Matter & Gas Laws

Graham's Law of Diffusion

The rate at which a gas diffuses or effuses is inversely proportional to the square root of its molar mass.

Formula / equation r₁ / r₂ = √(M₂ / M₁)
Unit Dimensionless

In depth

Since all gases at a given temperature have the same average kinetic energy, lighter molecules must move faster and so escape or spread more quickly. The law provides a simple route to unknown molar masses and was the original basis for separating uranium isotopes.

Examples in the real world

Hydrogen diffuses four times faster than oxygen; ²³⁵UF₆ was enriched by repeated effusion through porous barriers.