Chemistry Calculator Grade 11–12 Science With Steps

Dilution Calculator with Steps

Use this free dilution calculator to solve dilution problems using the formula C₁V₁ = C₂V₂. You can calculate initial concentration, initial volume, final concentration, or final volume.

Calculate Dilution

What do you want to calculate?

Initial concentration, C1

Initial volume, V1

Final concentration, C2

Final volume, V2

Result:

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What is the Dilution Formula?

The dilution formula is used when a concentrated solution is diluted by adding more solvent. The amount of solute stays the same, but the concentration decreases as volume increases.

C₁V₁ = C₂V₂

C1 = initial concentration
V1 = initial volume
C2 = final concentration
V2 = final volume

Worked Example

What volume of a 2.0 M stock solution is needed to prepare 1.0 L of a 0.5 M solution?

V₁ = C₂V₂ ÷ C₁
V₁ = 0.5 × 1.0 ÷ 2.0 = 0.25 L

You need 0.25 L of the stock solution.

Practice Question

What volume of a 4.0 M stock solution is needed to prepare 2.0 L of a 1.0 M solution?

Your answer for V1