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Graham's Law Calculator

💨 Gas Laws & Fluids. Use the Graham's law formula to find rate ratio, molar mass 1, molar mass 2: pick the value you want, type the others, and the answer updates as you go.

Rate1Rate2=M2M1\dfrac{\text{Rate}_1}{\text{Rate}_2} = \sqrt{\dfrac{M_2}{M_1}}

Default: H₂ (2 g/mol) vs O₂ (32 g/mol), H₂ escapes 4× faster.

Rate ratio4

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Rate rationo unit
Molar mass 1g/mol
Molar mass 2g/mol

Worked example

Find the rate ratio when Molar mass 1 = 2 g/mol, Molar mass 2 = 32 g/mol.

Using Rate1/Rate2 = √(M2/M1): Rate ratio = 4.

Frequently asked questions

What is the formula for Graham's law?

Rate1/Rate2 = √(M2/M1). Default: H₂ (2 g/mol) vs O₂ (32 g/mol), H₂ escapes 4× faster.

What do the letters stand for, and what units are used?

Rate ratio, Molar mass 1 in g/mol, Molar mass 2 in g/mol.

How do you calculate rate ratio?

Put the values into Rate1/Rate2 = √(M2/M1). For example, with Molar mass 1 = 2 g/mol, Molar mass 2 = 32 g/mol, rate ratio = 4.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (rate ratio, molar mass 1, molar mass 2) and fill in the others: it rearranges the formula for you.

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