Graham's Law Calculator (Effusion Rate)

Graham's law calculator: relative effusion or diffusion rates of two gases from their molar masses, or an unknown molar mass.

r1r2 = √M2M1

How to use this calculator

  1. Choose the quantity you want under “Solve for”.
  2. Type the known values and pick their units: any combination works.
  3. The result updates as you type. Open “Show the steps” to see the substitution.

Lighter gases escape faster: r₁/r₂ = √(M₂/M₁).

Formula

r1r2 = √M2M1

SymbolQuantityUnits
M1Molar mass of gas 1g/mol, kg/mol
M2Molar mass of gas 2g/mol, kg/mol
r1/r2Rate ratio r₁/r₂—

Worked example

Given: M1 = 2.016 g/mol · M2 = 32 g/mol

r1/r2 = √(M2/M1)

Result: r1/r2 = 3.9841

Frequently asked questions

How much faster does H₂ effuse than O₂?

About 3.98 times faster.

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