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Calcimator

Titration Calculator

Calculate the equivalence point volume for acid-base titrations. Includes an interactive titration curve for strong acid-strong base reactions.

About this calculator

A titration finds the volume of titrant needed to exactly neutralize a known amount of analyte, and this calculator gets there from the equivalence condition Ma × Va × na = Mb × Vb × nb — moles of acid protons equals moles of base hydroxide at the equivalence point. Solving for the base volume, it accounts for valence (the acid and base "n" values), which is what lets it handle polyprotic species correctly: sulfuric acid (H₂SO₄, valence 2) delivers two neutralizable protons per molecule, so it takes half the moles of a monoprotic acid like HCl to reach the same equivalence point. Skipping the valence adjustment — leaving it at the default 1 for a diprotic or triprotic species — is the most common way this calculation goes wrong.

Beyond the equivalence volume itself, the engine reports acid moles and base moles at equivalence, then generates a full simulated titration curve by sweeping base volume added and computing pH at each point using strong-acid/strong-base chemistry: excess acid drives pH from the leftover [H⁺], excess base drives it from 14 minus the leftover [OH⁻] (pOH), and the two meet at pH 7 right at equivalence. That pH-7 equivalence point is only strictly correct for a strong acid neutralized by a strong base — a weak acid or weak base system has an equivalence point that sits above or below neutral pH because the conjugate species left in solution is itself a weak acid or base, something this simplified curve does not model. Treat the curve as illustrative of the volume-versus-pH shape rather than a precise prediction whenever either species is weak.

Inputs

M
mL
M

Results

Equivalence Volume (Base)

50 mL

Acid Moles0.005 mol
Base Moles at Equiv.0.005 mol
Total Volume at Equiv.100 mL
How to Use This Calculator
  1. Enter acid molarity, acid volume (mL), base molarity, and acid and base valences.
  2. Review Equivalence Volume of Base (mL) and Acid Moles.
  3. Use the equivalence volume to know exactly how much titrant to add for neutralization.

How the result changes with Base Molarity

Base MolarityEquivalence Volume (Base)
0.05100 mL
0.0866.667 mL
0.1533.333 mL
0.2520 mL

What each input means

Acid Molarity
Molar concentration of the acid solution being titrated
Acid Volume
Volume of acid solution in the flask
Base Molarity
Molar concentration of the base titrant in the burette
Acid Valence (nₐ)
Number of H⁺ ions per acid molecule (e.g., HCl=1, H₂SO₄=2)
Base Valence (n_b)
Number of OH⁻ ions per base molecule (e.g., NaOH=1, Ca(OH)₂=2)

How this is calculated

Formula

Mₐ × Vₐ × nₐ = M_b × V_b × n_b

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Acid Molarity = 0.1, Acid Volume = 50, Base Molarity = 0.1, Acid Valence (nₐ) = 1 = 5 input(s) provided
  2. Calculate Equivalence Volume
    Equivalence Volume
    50 = 50
  3. Calculate Acid Moles
    Acid Moles
    0.005 = 0.005
  4. Calculate Base Moles at Equiv.
    Base Moles at Equiv.
    0.005 = 0.005

Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does valence matter for the equivalence volume, and when do I need to change it?

Valence represents how many H⁺ or OH⁻ ions each molecule of acid or base can donate — HCl and NaOH each have a valence of 1, but H₂SO₄ has an acid valence of 2 because it can donate two protons per molecule, and Ca(OH)₂ has a base valence of 2. Leaving valence at the default 1 for a polyprotic acid or a base like Ca(OH)₂ will make the calculator overstate the equivalence volume, since it will assume each molecule neutralizes only half of what it actually can.

Why does the titration curve always cross pH 7 at the equivalence point?

The chart is built assuming a strong acid reacting with a strong base, where the only species left at equivalence are spectator ions that don't affect pH, so the curve is forced through neutral pH 7 exactly where moles of acid and moles of base added are equal. If either your acid or base is actually weak, the true equivalence point sits above or below pH 7 because the leftover conjugate acid or base reacts with water — something this simplified curve doesn't model.

What's the difference between the Equivalence Volume output and the Total Volume at Equiv. output?

Equivalence Volume is just the volume of base titrant needed to reach the equivalence point, calculated from Ma × Va × na = Mb × Vb × nb. Total Volume at Equiv. adds that base volume to the original acid volume in the flask, giving the full volume of the combined solution once neutralization is complete — useful if you need to know the final concentration of any spectator ions in solution.

Can I use this calculator for a base being titrated into a flask of acid, or does the order matter?

The math only cares about total moles of H⁺ versus total moles of OH⁻ at equivalence, so the labels of 'acid in the flask, base in the burette' reflect the most common lab setup but the equivalence volume calculation itself is symmetric — swapping which species is the analyte and which is the titrant doesn't change the underlying mole-balance formula, only which volume you're solving for.

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