Titration Calculator

Calculate an unknown molarity or volume from titration data and balanced-reaction stoichiometry.

Titration calculation
Choose the unknown, enter the other three measurements, and include the balanced equation coefficients.

About titration calculations

A titration determines an unknown solution concentration by reacting it with a solution whose concentration is known. The known solution is the titrant, commonly delivered from a burette, while the sample being measured is the analyte. At the equivalence point, the reacting amounts match the mole ratio in the balanced chemical equation. This calculator rearranges that relationship to solve for analyte molarity, analyte volume, titrant molarity, or titrant volume. It is useful for acid-base titrations, redox titrations, complexometric work, and other reactions with a clear stoichiometric endpoint. The core relationship compares moles divided by each species' stoichiometric coefficient. Because molarity multiplied by volume gives an amount proportional to moles, the equation can use both volumes in milliliters as long as they share the same unit. The conversion factors cancel. Coefficients must come from the balanced reaction, not from subscripts in a chemical formula. For a one-to-one reaction such as hydrochloric acid with sodium hydroxide, both coefficients are one. For sulfuric acid reacting completely with sodium hydroxide, the acid coefficient is one and the base coefficient is two. Select the quantity you need before entering data. The calculator hides that unknown and requires positive values for everything else. Report molarity in moles per liter and volumes in milliliters. The numerical result should still be interpreted using the precision of the experimental measurements. Burette readings, endpoint detection, solution preparation, temperature, and glassware calibration all contribute uncertainty that a purely arithmetic result cannot remove. An equivalence point is the theoretical point where stoichiometric amounts have reacted. An indicator color change or an instrument signal marks an observed endpoint, which may differ slightly. This tool assumes that the selected endpoint accurately represents equivalence and that the reaction is complete, selective, and described by the entered coefficients. It does not calculate a full pH curve or choose an indicator. For laboratory reporting, retain the original observations, repeat concordant trials, average acceptable titres, and apply the laboratory's significant-figure and uncertainty rules.

Titration examples

These examples apply the equivalence relationship to common laboratory setups.

Known dataCalculated valueInterpretation
25 mL analyte, 20 mL of 0.100 mol/L titrant, 1:10.080 mol/L analyteA monoprotonic acid-base titration.
0.200 mol/L analyte, 30 mL, 0.100 mol/L titrant, 1:2120 mL titrantTwo titrant units react per analyte unit.
0.150 mol/L analyte, 10 mL, 15 mL titrant, 1:10.100 mol/L titrantThe unknown is the standardized titrant concentration.

How to use the titration calculator

  1. Balance the chemical equation and identify the analyte and titrant coefficients.
  2. Choose the molarity or volume that should be calculated.
  3. Enter the three known measurements using the displayed units.
  4. Enter both positive whole-number stoichiometric coefficients.
  5. Calculate and round the result according to your experimental precision.

Frequently asked questions

What equation does the titration calculator use?

It equates analyte moles per analyte coefficient with titrant moles per titrant coefficient. Each mole amount is calculated from molarity multiplied by volume.

Can I enter both volumes in milliliters?

Yes, provided both volume entries use milliliters. Their identical conversion factors cancel when the equation is rearranged.

When are both coefficients equal to one?

Use one and one when one mole of analyte reacts with one mole of titrant. Always verify this ratio from the balanced equation rather than assuming it.

Is the endpoint the same as the equivalence point?

The equivalence point is the theoretical stoichiometric point, while the endpoint is the observed signal. A suitable indicator or instrument makes the difference small but not necessarily zero.

Why must every entered value be positive?

Physical molarity, volume, and stoichiometric coefficients in this model must be greater than zero. A zero or negative entry cannot describe the intended titration relationship.