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Neutralization Calculator

Equivalents, so polyprotic acids need no extra step.

Work out Neutralization. Equivalents, so polyprotic acids need no extra step. Free, with no account and nothing to install.

Written and maintained by Mohit PatelLast checked August 4, 2026How we build these
M
mL

HCl 1, H₂SO₄ 2, H₃PO₄ 3

M
mL

NaOH 1, Ca(OH)₂ 2

At the equivalence point

pH 7

2.5 mmol acid against 2.5 mmol base equivalents

Acid equivalents — M × V × protons0.0025 eq
Base equivalents — M × V × hydroxides0.0025 eq
ExcessNone — exactly neutralised
Combined volume50 mL
Base volume for equivalence25 mL

Working in equivalents handles polyprotic acids without a separate stoichiometry step: 0.1 M H₂SO₄ delivers 0.2 equivalents per litre. The pH shown assumes a strong acid and a strong base — with a weak partner the excess is buffered and this figure will be wrong.

How the Neutralization Calculator works

Compares acid and base equivalents to find which is in excess, the pH that follows, and the volume needed to reach equivalence. Working in equivalents rather than moles means a diprotic acid needs no separate stoichiometry step — the proton count is already in the arithmetic.

Also known as: neutralisation calculator · how much base to neutralise this acid · equivalence point volume · acid base equivalents calculator

Why equivalents rather than moles

An equivalent is one mole of transferable protons or hydroxides. Working in equivalents folds the stoichiometry into the concentration, so a diprotic acid needs no separate mole-ratio step — 0.1 M H₂SO₄ is simply 0.2 equivalents per litre, and it neutralises 0.2 equivalents of any base.

Normality is molarity times equivalents per formula unit, and equal volumes of solutions at equal normality neutralise each other exactly, whatever the acids and bases are. That is a genuinely useful property in titration work and it is why the unit survived as long as it did.

It fell out of favour because normality is not a property of a solution alone — it depends on the reaction. Phosphoric acid is 1 N, 2 N or 3 N as a 1 M solution depending on how many of its protons the reaction actually takes, and its three pKa values differ enough that this is a real question rather than a pedantic one. SI recommends molarity for that reason.

The equivalence point is rarely at pH 7

Strong acid with strong base gives pH 7 at equivalence, because the salt formed is neutral and only water contributes. That is the case textbooks introduce first and the only one where the number is 7.

A weak acid with a strong base leaves the conjugate base of a weak acid in solution, and that hydrolyses water to give hydroxide. Acetic acid titrated with sodium hydroxide reaches equivalence around pH 8.7 — the acetate ion is a base, and there is nothing left to neutralise it.

The mirror case runs the other way. Ammonia titrated with hydrochloric acid leaves ammonium, a weak acid, and the equivalence point lands near pH 5.3. Indicator choice follows from this: phenolphthalein, changing between 8.3 and 10, suits a weak acid titration; methyl red, changing between 4.4 and 6.2, suits a weak base one. Using the wrong indicator moves the endpoint away from the equivalence point by a whole titration's worth of error.

What the pH figure here assumes

The pH this page reports comes from the excess strong acid or strong base concentration and nothing else. With a strong acid and a strong base that is correct, because neither the salt nor the conjugate contributes anything.

With a weak partner it is not. The excess is buffered by its own conjugate, so the pH sits near the pKa rather than following the excess concentration, and it can be a unit or more away from what this calculation gives. That case needs the Ka and the Henderson–Hasselbalch relation instead.

The assumption is stated rather than hidden because the failure is invisible otherwise — a wrong pH still looks like a pH. Halfway to equivalence in a weak acid titration, pH equals pKa regardless of concentration, which is a good sanity check that the buffered case is behaving as it should and this calculation is not the right tool for it.

Where to go next

The Neutralization question rarely arrives on its own. These are the ones that usually come with it:

Frequently asked questions

What is an equivalent in acid-base chemistry?

One mole of transferable protons or hydroxides. A mole of H₂SO₄ supplies two equivalents, so 0.1 M sulfuric acid delivers 0.2 equivalents per litre.

How do I find the equivalence point?

Where acid and base equivalents are equal. The required volume is the other solution's equivalents divided by this solution's normality — a single division once you are working in equivalents.

Is the equivalence point always at pH 7?

No, only for a strong acid with a strong base. A weak acid against a strong base leaves a basic conjugate and lands above 7; a weak base against a strong acid lands below.

What is the difference between endpoint and equivalence point?

Equivalence point is the stoichiometric truth; endpoint is where the indicator changes colour. A well-chosen indicator puts them close together, and the small gap between them is the titration error.

Why does the pH shown assume strong acid and strong base?

Because a weak partner buffers the excess, holding pH near its pKa instead of following the excess concentration directly. That calculation needs the Ka as well, so this page states the assumption rather than quietly breaking it.

What is normality?

Molarity multiplied by the number of equivalents per formula unit. 0.1 M H₂SO₄ is 0.2 N. It fell out of favour because the same solution has different normalities in different reactions, but it remains useful in titration work.

How do I pick a titration indicator?

One whose colour change spans the pH at the equivalence point. Phenolphthalein, changing between 8.3 and 10.0, suits a weak acid against a strong base; methyl orange, changing between 3.1 and 4.4, suits a weak base against a strong acid.

What is a primary standard?

A reagent pure and stable enough to be weighed directly into a standard solution — potassium hydrogen phthalate and sodium carbonate are the common ones. Sodium hydroxide is not: it absorbs water and carbon dioxide from air, so it must be standardised against a primary standard rather than weighed out.

Why does a titration curve have a steep section?

Because near the equivalence point almost no unreacted acid or base is left to buffer the solution, so each drop changes the pH sharply. Away from it, the conjugate pair buffers and the curve is flat.

What happens with a polyprotic acid?

There is one equivalence point per proton, provided the pKa values are separated by at least about 4 units. Phosphoric acid shows two clear inflections and a third too weak to see, because its third pKa of 12.3 is too close to water's own ionisation.

Why is my titre consistently high?

Common causes are an air bubble in the burette tip that clears during the run, a wet burette that was not rinsed with the titrant, or overshooting past the true endpoint colour. All three add volume systematically rather than randomly.

What is back titration and when is it used?

Adding a known excess of one reagent, then titrating what is left over. It is used when the reaction is slow or the sample is insoluble — determining calcium carbonate in a shell, for instance, by dissolving it in excess acid and titrating the surplus.

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