Dilution Calculator (M₁V₁ = M₂V₂)
Find target volume or concentration when diluting a stock solution.
Result
Final volume V₂
50.000
Add 40.000 of solvent to 10 of stock.
- FormulaM₁V₁ = M₂V₂
- V₂50.0000
- Solvent to add40.0000
Step-by-step
- M₁V₁ = 5 × 10 = 50.000.
- V₂ = M₁V₁ / M₂ = 50.000 / 1 = 50.000.
- Solvent to add = V₂ − V₁ = 50.000 − 10 = 40.000.
How to use this calculator
- Enter stock concentration and volume, plus target concentration.
- Read final volume and how much solvent to add.
About this calculator
When diluting a stock solution to a target concentration, M₁V₁ = M₂V₂. Solve for V₂ to find the final volume; the difference V₂ − V₁ is the solvent (usually water) you need to add. Units of M and V must match between sides of the equation.
Frequently asked
Yes — as long as both sides use the same volume unit. mL, L, µL all work.
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