Scientific Converters Precise unit conversions for science & engineering.

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    Dilution Calculator

    To make 1 L of 0.1 M from a 2 M stock, take 0.05 L (50 mL) of stock and add solvent to 1 L, from C₁V₁ = C₂V₂.

    Solve for:
    Show stock volume needed in:

    Any concentration unit works (%, mg/mL) as long as C₁ and C₂ use the same one.

    Stock volume needed V₁ =

    0.05 L

    In mL
    50 mL
    In µL
    50000 µL
    In m³
    0.00005 m³
    Solvent to add V₂ − V₁
    0.95 L
    Dilution factor V₂/V₁
    20
    Step-by-step solution
    1. V₁ = C₂ × V₂ ÷ C₁
    2. V₁ = 0.1 × 1 ÷ 2
    3. V₁ = 0.05 L

    Dilution Formula

    C₁ V₁ = C₂ V₂

    C₁ stock concentration, V₁ stock volume, C₂ final concentration, V₂ final volume

    Worked Example

    Making 1 L of 0.1 M solution from a 2 M stock:

    1. V₁ = C₂ × V₂ ÷ C₁
    2. V₁ = 0.1 × 1 ÷ 2
    3. V₁ = 0.05 L

    In µL: 50000 µL · In m³: 0.00005 m³ · Solvent to add V₂ − V₁: 0.95 L · Dilution factor V₂/V₁: 20

    Acid safety

    When diluting concentrated acids, add acid to water, never water to acid: the heat released can boil the small amount of water and spatter acid.

    More Moles and Concentration Calculators

    Frequently asked questions

    Can I use % or mg/mL?

    Yes, as long as C₁ and C₂ are in the same unit: the formula is a ratio. Leave the unit choice as it is and read the volumes.

    How do I make a serial dilution?

    Repeat a fixed dilution: 1 mL into 9 mL is 1:10 each step, so three steps give 1:1000.

    Sources

    Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.

    Cite this page

    APA

    Scientific Converters. (2026, October 15). Dilution Calculator. Retrieved October 25, 2026, from https://scientificconverters.com/calculators/dilution-calculator/

    IEEE

    Scientific Converters, "Dilution Calculator," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/calculators/dilution-calculator/

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