Acid-Base Neutralization Volume Calculator
Find the volume of base needed to neutralize an acid from their concentrations and proton counts.
How it works
nₐ · Cₐ · Vₐ = n_b · C_b · V_b → V_b = (nₐ · Cₐ · Vₐ) / (n_b · C_b)
Neutralization is complete when the moles of H⁺ supplied by the acid equal the moles of OH⁻ supplied by the base. Multiplying concentration by volume gives moles, and the proton/hydroxide counts scale for polyprotic acids or dihydroxide bases. Rearranging for the base volume gives the titration endpoint volume.
Worked example
To neutralize 25 mL of 0.10 mol/L HCl (1 H⁺) with 0.10 mol/L NaOH (1 OH⁻): moles H⁺ = 0.10 × 0.025 = 0.0025 mol, so V_b = 0.0025 / 0.10 = 0.025 L = 25 mL.
Frequently asked questions
How do I handle sulfuric acid?
Set acidic protons per acid to 2, because each H₂SO₄ can donate two H⁺. That doubles the moles of base required for the same acid volume.
Does this give the equivalence point?
Yes — it returns the volume where moles of acid equal moles of base. The pH at that point depends on whether the acid and base are strong or weak.
What if I want the acid volume instead?
The relation is symmetric; just swap the roles. Rearrange nₐ·Cₐ·Vₐ = n_b·C_b·V_b to solve for Vₐ.
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