Solution Dilution Calculator

C₁V₁ = C₂V₂. The concentration times volume of the stock equals that of the diluted solution, because the amount of solute does not change.

Solve for V₁ = C₂V₂ / C₁. To make 100 mL of 1 M from a 10 M stock, take 1 × 100 / 10 = 10 mL of stock and add 90 mL of solvent.

The ratio C₁/C₂ (equivalently V₂/V₁). A 10 M stock diluted to 1 M is a 10× (1:10) dilution.

Both concentrations must use the same unit and both volumes the same unit, since C₁V₁ = C₂V₂ is a ratio. This tool enforces that with shared unit pickers.

The formula gives V₂, the final volume of the whole mixture. The solvent to add is V₂ − V₁. Taking 10 mL of stock up to 100 mL means adding 90 mL, and adding 100 mL to the 10 mL would leave you with 110 mL at the wrong concentration.

Yes. The relationship only requires that the amount of solute stays the same, so any concentration unit works as long as both sides use it — molarity with molarity, percent with percent. What it does not cover is a change in the substance itself, such as a reaction or a temperature-dependent density.