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Graham’s Law of Effusion Calculator

💨 Gas Laws & Fluids. Use the Graham’s law of effusion formula to find rate ratio r₁/r₂, molar mass gas 1, molar mass gas 2: pick the value you want, type the others, and the answer updates as you go.

r1r2=M2M1\dfrac{r_1}{r_2} = \sqrt{\dfrac{M_2}{M_1}}
Rate ratio r₁/r₂4

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 ratio r₁/r₂no unit
Molar mass gas 1g/mol
Molar mass gas 2g/mol

Worked example

Find the rate ratio r₁/r₂ when Molar mass gas 1 = 2 g/mol, Molar mass gas 2 = 32 g/mol.

Using r1/r2 = √(M2/M1): Rate ratio r₁/r₂ = 4.

Frequently asked questions

What is the formula for Graham’s law of effusion?

r1/r2 = √(M2/M1).

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

Rate ratio r₁/r₂, Molar mass gas 1 in g/mol, Molar mass gas 2 in g/mol.

How do you calculate rate ratio r₁/r₂?

Put the values into r1/r2 = √(M2/M1). For example, with Molar mass gas 1 = 2 g/mol, Molar mass gas 2 = 32 g/mol, rate ratio r₁/r₂ = 4.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (rate ratio r₁/r₂, molar mass gas 1, molar mass gas 2) and fill in the others: it rearranges the formula for you.

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