Neutralization Calculator

Calculate the unknown variable in an acid-base neutralization reaction using the equation N1V1 = N2V2. Solve for normality or volume of acid or base.

⚗️ Acid-Base Neutralization

Acid

N

Base

N

✅ Result

What Is Neutralization?

Neutralization is a chemical reaction in which an acid and a base react to form water and a salt. It is one of the most fundamental reactions in chemistry, occurring everywhere from industrial processes to the human stomach.

Acid + Base → Salt + Water

For a strong acid and strong base:

H+(aq) + OH(aq) → H2O(l)

The Neutralization Equation

At the equivalence point of a neutralization (complete reaction), the number of acid equivalents equals the number of base equivalents:

Na × Va = Nb × Vb

Where:

This can also be written using molarity and the n-factor:

Ma × na × Va = Mb × nb × Vb

Where na is the number of H+ ions per acid molecule and nb is the number of OH ions per base molecule.

How to Use the Neutralization Formula

  1. Identify the acid and base in the reaction.
  2. Determine the normality of each solution. If given molarity, multiply by the n-factor (number of H+ or OH).
  3. Measure the volumes used in the titration.
  4. Apply NaVa = NbVb and solve for the unknown.
Example: Finding Acid Concentration

50 mL of NaOH (0.1 N) is needed to neutralize 25 mL of HCl. Find the normality of HCl.

Na = Nb × Vb / Va = 0.1 × 50 / 25 = 0.2 N

Normality vs. Molarity in Neutralization

Acid/Basen-factorNormality
HCl (monoprotic)1N = M × 1
H2SO4 (diprotic)2N = M × 2
H3PO4 (triprotic)3N = M × 3
NaOH (monobasic)1N = M × 1
Ca(OH)2 (dibasic)2N = M × 2
Al(OH)3 (tribasic)3N = M × 3

Titration and Neutralization

Titration is the laboratory technique used to determine the unknown concentration of a solution by reacting it with a solution of known concentration (the titrant). In an acid-base titration:

  1. A measured volume of the unknown solution is placed in a flask.
  2. The titrant is slowly added from a burette.
  3. An indicator (e.g., phenolphthalein, methyl orange) signals the equivalence point by changing color.
  4. The volume of titrant used is recorded, and the unknown concentration is calculated using NaVa = NbVb.

Common Indicators for Acid-Base Titrations

IndicatorpH RangeAcid ColorBase Color
Methyl orange3.1–4.4RedYellow
Bromothymol blue6.0–7.6YellowBlue
Phenolphthalein8.2–10.0ColorlessPink
Litmus5.0–8.0RedBlue

Heat of Neutralization

Neutralization is an exothermic reaction. For strong acid + strong base in dilute aqueous solution, the heat released is approximately:

ΔHneutralization ≈ −57.1 kJ/mol

This value is nearly constant because the net ionic reaction is always: H+ + OH → H2O.

Frequently Asked Questions

What is the equivalence point?

The equivalence point is the moment when the number of moles of acid equals the number of moles of base (in terms of equivalents). At this point, neutralization is complete. For a strong acid + strong base titration, the pH at the equivalence point is 7.0.

Can I use molarity instead of normality?

Yes, but you must account for the n-factor: Ma × na × Va = Mb × nb × Vb. For monoprotic acid and monobasic base, normality equals molarity, so MaVa = MbVb.

What happens after the equivalence point?

Adding more acid or base beyond the equivalence point creates an excess of H+ or OH, shifting the pH significantly. The solution is no longer neutral.