Make a dilution that hits a target concentration
C₁V₁ = C₂V₂ solves any single unknown — how much stock to take, how much solvent to add, or what concentration you end up with.
Tools used in this guide
The job
You have a stock solution and need it weaker. The conservation equation C₁V₁ = C₂V₂ relates the stock and final concentrations and volumes; three knowns pin down the fourth.
Solve for one unknown
Fill any three of C₁, V₁, C₂, V₂ and leave the one you want empty. The result shows the solved value plus the dilution factor and how much solvent to add.
- Keep each pair in the same unit: molar with molar, mL with mL. The tool does not convert.
- For a tenfold dilution enter C₁ = 1, V₁ = 1, V₂ = 10 and leave C₂ blank — the solved concentration is 0.1.
Worked example
To make 50 mL of 0.1 M from a 1 M stock, enter C₁ = 1, C₂ = 0.1, V₂ = 50. The answer is V₁ = 5 mL of stock plus 45 mL of solvent — a 10× dilution.
Where it stops
It solves the simple conservation equation only. Serial dilutions, w/v percentages, and density corrections are out of scope, and the final concentration must not exceed the stock. It assumes volumes add linearly, which is approximate for some solvent pairs.