Free Base Dilution Calculator

Calculate the final concentration or volume needed when diluting a base solution using the dilution equation C₁V₁ = C₂V₂.

M
mL
mL

Final Base Concentration (C₂)

0.2400 M

Water to Add480.0 mL

Final Base Concentration (C₂) vs Initial Base Concentration (C₁)

How to Dilute a Base

Formula

C₁V₁ = C₂V₂

Solving for C₂: C₂ = C₁V₁ / V₂

Where:

  • C₁ = initial concentration
  • V₁ = volume of concentrated base
  • C₂ = final concentration
  • V₂ = final total volume
  • Concentrated bases like NaOH are corrosive. Use caution and appropriate PPE.

    Example Calculation

    Dilute 20 mL of 6 M NaOH to a final volume of 500 mL.

    1. 01C₂ = C₁V₁ / V₂
    2. 02C₂ = (6 × 20) / 500
    3. 03C₂ = 120 / 500
    4. 04C₂ = 0.24 M

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