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Solution dilution calculator

Solve initial or final concentration and volume with C1V1 = C2V2, and find the solvent volume needed for a dilution.

Calculator

Initial concentration
1
Final concentration
0.1
Stock volume
10
Final solution volume
100
Added solvent volume
90
Dilution factor
10.000000

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How this calculator works

Dilution preserves the amount of solute while adding solvent. Choose any one unknown and provide the other three quantities. Both concentrations must describe the same species and basis. The solvent subtraction assumes additive volumes; for accurate preparation, transfer the stock aliquot and make up to the final marked volume. Evaporation, reaction and mixing two nonzero stocks are separate problems.

Formula

C1 V1 = C2 V2. Dilution factor = C1/C2 = V2/V1. Added solvent = V2 - V1.

Worked example

Diluting 10 mL of 1 mol/L stock to 0.1 mol/L gives 100 mL final volume. For 1 L at 0.5 mol/L from 2 mol/L stock, use 250 mL stock and make up to 1 L.

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Frequently asked questions

Is final volume the water added?

No. Final volume includes the stock aliquot.

Can I increase concentration?

This page models adding solvent. Concentrating by evaporation needs a different process.

Does unit switching affect the result?

Inputs are converted to a common base, so compatible unit choices give the same amount balance.

Sources

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