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Ostwald's Dilution Law Calculator

⚖ Acids, Bases & Equilibrium. Use the Ostwald's dilution law formula to find ka, degree of dissociation α, concentration: pick the value you want, type the others, and the answer updates as you go.

Ka=α2C1−αK_a = \dfrac{\alpha^2 C}{1 - \alpha}
Ka1.739 × 10⁻⁵

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
Kano unit
Degree of dissociation αno unit
Concentrationmol/L

Worked example

Find the ka when Degree of dissociation α = 0.0131, Concentration = 0.1 mol/L.

Using Ka = (α² C)/(1 - α): Ka = 1.739 × 10⁻⁵.

Frequently asked questions

What is the formula for Ostwald's dilution law?

Ka = (α² C)/(1 - α).

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

Ka, Degree of dissociation α, Concentration in mol/L.

How do you calculate ka?

Put the values into Ka = (α² C)/(1 - α). For example, with Degree of dissociation α = 0.0131, Concentration = 0.1 mol/L, ka = 1.739 × 10⁻⁵.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (ka, degree of dissociation α, concentration) and fill in the others: it rearranges the formula for you.

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