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Chemistry

Solution dilution (C₁V₁ = C₂V₂) calculator

Stock volume and diluent needed to hit a target concentration.

What this calculator does

Solution dilution (C₁V₁ = C₂V₂) works out stock volume and diluent needed to hit a target concentration. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaC₁V₁ = C₂V₂ → V₁ = C₂V₂ / C₁

The inputs explained

FieldWhat to enter
Stock concentration (mol/L)A number, measured in mol/L. Starts at 5.
Target concentration (mol/L)A number, measured in mol/L. Starts at 0.5.
Target final volume (mL)A number, measured in mL. Starts at 1000.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with stock concentration

Every other input is held at the calculator’s starting values while stock concentration varies. Select any row to load that scenario into the calculator.

How the answer changes with stock concentration
Stock concentration (mol/L)Stock volume neededDiluent to addDilution factor
2.5200.00 mL800.00 mL5.000×
3.75133.33 mL866.67 mL7.500×
5100.00 mL900.00 mL10.000×
7.566.67 mL933.33 mL15.000×
1050.00 mL950.00 mL20.000×
1533.33 mL966.67 mL30.000×