Solve the dilution equation for any unknown — concentration or volume — in one step.
The dilution equation C₁V₁ = C₂V₂ says that the amount of solute stays the same when you add solvent. If you know three of the four values — two concentrations and two volumes — the fourth is arithmetic. This calculator solves for whichever one you leave empty.
It works in any consistent units: mol/L and mL, mg/mL and litres, percent and microlitres — as long as both concentrations use the same unit and both volumes use the same unit, the math does not care which ones you picked. The result is in whatever units you gave it.
A common use in the lab is to prepare a working solution from a stock: you know the stock concentration, the desired final concentration and the final volume, and you need the volume of stock to pipette. In the kitchen the same equation tells you how much juice concentrate to mix with water to reach a target strength.
C₁ × V₁ = C₂ × V₂. Solve for the unknown: C₁ = C₂V₂/V₁, V₁ = C₂V₂/C₁, C₂ = C₁V₁/V₂, V₂ = C₁V₁/C₂.
Only that both concentrations share one unit and both volumes share another. The equation cancels the units — mol/L with mL, percent with litres, anything consistent.
Set C₂ higher than C₁. The equation still works, but in practice you need to evaporate solvent or add solute, not add water.
Yes — each step is one C₁V₁ = C₂V₂ calculation. The final concentration of one step becomes the initial concentration of the next.
No. The calculation is pure arithmetic in JavaScript. Nothing is uploaded.
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