Dilution Calculator (C1V1 = C2V2)

What is the Dilution Calculator (C1V1 = C2V2)?

Find the volume of stock solution needed to make a dilution. The C₁V₁ = C₂V₂ relationship tells you how much concentrated stock to dilute to reach a target strength and volume.

How to use the Dilution Calculator (C1V1 = C2V2)

1. Enter your stock concentration, your target concentration, your target volume.
2. Results update automatically as you type; you can also press Calculate.
3. Read the output: stock volume needed (v1), diluent to add.
4. Use the 📊 chart to see the result visually, then copy or share it.

Formula and method

Worked example

With stock concentration = 10, target concentration = 2, target volume = 500 mL, the Dilution Calculator (C1V1 = C2V2) returns stock volume needed (v1): 100.000 mL; diluent to add: 400.000 mL.

Where the Dilution Calculator (C1V1 = C2V2) helps in real life

A lab protocol needs 500 mL of 0.1 M solution and the stock is 2 M. The calculator gives the volume of stock to measure, and you top up with solvent to 500 mL.

You are diluting a concentrated cleaning product to the strength on its label. Entering the concentrations and final volume avoids guessing.

Common mistakes to avoid

• Adding the stock to the full final volume of water instead of making up to volume.
• Mixing units like mM and M.
• Using the wrong stock concentration after a previous dilution.
• Adding water to concentrated acid instead of acid to water.

💡 Practical tip: For acids, always add acid to water slowly — never water to acid.

Tips for better results

• Measure the stock first, then add solvent up to the final volume.
• Label dilutions with concentration and date.
• Use volumetric glassware for accurate lab work.

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