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Titration Equivalence Point Calculator

Enter three of the four titration values — acid concentration, acid volume, base concentration and base volume — and let the calculator solve for the fourth.

Titration values

Enter the three known values, then choose which one to solve for.

Solved value—Enter your known values above.
Moles of acid—
Moles of base—
Equation used—
Quick insight

Titration Equivalence Point Calculator

Enter three known titration values to solve for the fourth.

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What Is a Titration Equivalence Point Calculator?

A titration reaches its equivalence point when the moles of acid added exactly equal the moles of base present (or vice versa) — the same amount of acidic and basic "equivalents" have reacted completely. For a simple 1:1 acid-base reaction, that balance point is described by Ca×Va = Cb×Vb, where each concentration (C) is multiplied by its matching volume (V). This calculator rearranges that equation so you can solve for whichever of the four values you don't already know.

It's the same relationship used in every general chemistry lab report when back-calculating an unknown concentration from titration data, or when planning how much titrant you'll need before starting an experiment.

How to Read Your Results

Solved Value

This is the concentration or volume you selected in the "Solve for" dropdown, calculated so that moles of acid equal moles of base.

Moles of Acid / Moles of Base

These show the actual amount (in moles) of acid and base reacting at the equivalence point. At a correctly solved equivalence point, these two numbers should match.

Equation Used

A reminder of the underlying relationship, Ca×Va = Cb×Vb, so you can double-check the math by hand if needed.

Real-World Example

Suppose you titrate 25.0 mL of an HCl solution of unknown concentration with 0.100 M NaOH, and it takes 22.4 mL of NaOH to reach the equivalence point (as shown by a phenolphthalein color change).

QuantityValue
Base concentration (Cb)0.100 mol/L
Base volume (Vb)22.4 mL
Acid volume (Va)25.0 mL
Acid concentration (Ca) — solved≈0.0896 mol/L

Plugging in Cb×Vb = 0.100 × 22.4 = 2.24 mmol of NaOH, and dividing by Va = 25.0 mL, gives Ca ≈ 0.0896 mol/L — the unknown HCl concentration.

Tips for Accurate Titrations

  • Use a properly calibrated burette — volume-reading errors are the most common source of titration inaccuracy.
  • Choose an indicator whose color-change range straddles the pH at the true equivalence point.
  • Run at least two or three trials and average your titrant volumes for a more reliable result.
  • Remember this formula assumes 1:1 stoichiometry — adjust manually for polyprotic acids or bases that react in different ratios.

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Note: This calculator assumes a simple 1:1 mole ratio between acid and base and an ideal, complete reaction. It does not account for polyprotic stoichiometry, weak acid/base equilibrium effects, or indicator error — verify results against your own lab data.

Last updated: August 2026 · Reviewed by: Simple Calculator Tools Editorial Team