About this calculator
Find the stock volume to take, the final volume, or either concentration. Use any concentration unit, as long as both match.
How to use it
- Choose what to find, enter the other values with their units, and read the answer in every common unit.
The formula
C₁ × V₁ = C₂ × V₂
- C₁, V₁
- stock concentration and volume
- C₂, V₂
- final concentration and volume
Worked example
Making 200 mL of 0.5 M from 2 M stock
- V₁ = 0.5 × 200 ÷ 2 = 50 mL.
- Add 150 mL of solvent: a 4× dilution.
What the result means
Always add acid to water, never water to concentrated acid.
Assumptions
- Volumes add up exactly.
Limitations
- Mixing some liquids, such as ethanol and water, changes total volume slightly.
Frequently asked questions
What is M1V1 = M2V2?
The same formula written with molarity.
What is a dilution factor?
Final volume ÷ stock volume.
Can I use percentages?
Yes, if both concentrations are in percent.
Last reviewed on 6 October 2026. Found a mistake? Tell us.

