Titration Calculator – Find Unknown Concentration from Titration Data

Solve titration problems quickly with our titration calculator. Enter the volume and concentration of your titrant and analyte to find the unknown concentration of an acid or base. Essential for analytical chemistry labs.

Find

Acid Volume (mL)

Base Volume (mL)

Base Concentration (mol/L)

Acid Stoichiometric Coefficient

Base Stoichiometric Coefficient

What is Titration?

Titration is an analytical technique to determine the concentration of an unknown solution. You add a solution of known concentration (titrant) to the unknown solution until the reaction reaches its endpoint.

Titration Formula

(Ca × Va) / na = (Cb × Vb) / nb

Where:

Ca = Concentration of acid
Va = Volume of acid
na = Stoichiometric coefficient of acid
Cb = Concentration of base
Vb = Volume of base
nb = Stoichiometric coefficient of base

Common Titration Reactions

Reaction	Ratio	Example
HCl + NaOH → NaCl + H₂O	1:1	Strong acid-strong base
H₂SO₄ + 2NaOH → Na₂SO₄ + 2H₂O	1:2	Diprotic acid
H₃PO₄ + 3NaOH → Na₃PO₄ + 3H₂O	1:3	Triprotic acid
CH₃COOH + NaOH → CH₃COONa + H₂O	1:1	Weak acid-strong base

Example Calculation

25.0 mL of HCl requires 30.0 mL of 0.1 M NaOH to reach the endpoint. For a 1:1 reaction:

Ca = (Cb × Vb) / Va = (0.1 M × 30.0 mL) / 25.0 mL = 0.12 M

Titration Curve

Concentration relationship during titration

Enter values and calculate to see the graph

Titration Applications

Determining acidity of vinegar and fruit juices
Measuring water hardness (calcium and magnesium)
Quality control in pharmaceutical manufacturing
Environmental water quality testing
Food industry pH and acidity analysis

How It Works

Select Unknown

Choose whether you need to find the acid concentration or base concentration from your titration data.

Enter Titration Data

Input volumes (mL) and known concentration (mol/L) for both acid and base solutions.

Get Concentration Result

Calculate unknown concentration using stoichiometry and view the titration curve visualization.

Key Features & Benefits

Acid or Base Calculation

Find either unknown acid concentration or unknown base concentration from titration endpoint data.

Stoichiometry Support

Handle reactions with any stoichiometric ratio (1:1, 1:2, 1:3) for polyprotic acids and bases.

Titration Curve Graph

Visualize concentration changes during titration with interactive curve plotting.

Educational Reference

Includes formula explanation, common reaction examples, and step-by-step calculation guide.

Frequently Asked Questions

What is the titration formula?

The titration formula is: (Ca × Va) / na = (Cb × Vb) / nb, where C is concentration, V is volume, and n is the stoichiometric coefficient. At the equivalence point, moles of acid equal moles of base (adjusted for stoichiometry).

How do I calculate unknown concentration from titration?

Rearrange the formula: Cunknown = (Cknown × Vknown × nunknown) / (Vunknown × nknown). For 1:1 reactions, this simplifies to Cunknown = (Cknown × Vknown) / Vunknown.

What is the equivalence point in titration?

The equivalence point is when the amount of titrant added exactly neutralizes the analyte. Moles of H+ equal moles of OH-. This is detected by an indicator color change or pH meter reading.

Why do I need stoichiometric coefficients?

Polyprotic acids (H₂SO₄, H₃PO₄) release multiple H+ ions. Sulfuric acid needs 2 NaOH per molecule (1:2 ratio). Without accounting for stoichiometry, concentration calculations will be wrong.

What units are used in titration calculations?

Concentration is typically in mol/L (Molarity, M). Volume can be mL or L (be consistent). The formula works with any volume unit as long as both volumes use the same unit.

Other Free Tools

Search tools