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chemistry

Titration Calculator

Calculate the unknown concentration of an acid or base from titration data using the equivalence-point relationship.

By Christopher FloiedPublished Updated

Minimum: 0

Known concentration of the titrant (solution in the buret).

Minimum: 0

Volume of titrant used to reach the equivalence point.

Must be greater than 0

Volume of the unknown solution in the flask.

Must be greater than 0

Coefficient of the titrant in the balanced equation (1 for NaOH in HCl + NaOH; 2 for NaOH in H₂SO₄ + 2 NaOH).

Must be greater than 0

Coefficient of the analyte in the balanced equation (1 for HCl in HCl + NaOH; 1 for H₂SO₄ in H₂SO₄ + 2 NaOH).

Results

Analyte Concentration (M)

0.1 M

Learn with a worked scenario

Analyte concentration from titrant concentration, equivalence volume and balanced reaction coefficients.

Question

A 1:1 reaction uses 18.0 mL of 0.100 mol/L titrant for 25.0 mL of analyte.

  1. Titrant moles = 0.100 × 0.0180 = 0.00180 mol.
  2. A 1:1 reaction gives 0.00180 mol analyte.
  3. Analyte concentration = 0.00180 / 0.0250 = 0.0720 mol/L.

The analyte concentration is 0.0720 mol/L.

Precision: The concentration is rounded to at most 4 decimal places, with trailing zeros dropped; values below 0.001 are shown in scientific notation.

Load this example in the calculator

Try a variation

Keep 18.0 mL of 0.100 mol/L titrant and 25.0 mL of analyte, but make the titrant coefficient 2 (analyte coefficient 1). What happens to the analyte concentration? Predict the answer before you reveal it.

Predict, then reveal

It halves, to 0.0360 mol/L. Two moles of titrant react with each mole of analyte, so the 0.00180 mol of titrant at equivalence consumed only 0.000900 mol of analyte.

Change one input and compare
Titrant volume, 1:1 reactionAnalyte concentration
18 mL0.072 mol/L
20 mL0.080 mol/L
25 mL0.100 mol/L
Load the variation in the calculator

Check the assumptions

  • The balanced reaction and equivalence-point volume are known.
  • Use analyte coefficient divided by titrant coefficient.
  • This is a concentration calculation, not a pH curve or endpoint model.

Common mistake: Assuming every titration uses a 1:1 mole ratio.

Method reference: OpenStax Chemistry: Quantitative Chemical Analysis. These examples illustrate the method; they do not validate every possible input.

How to Use This Calculator

1

Enter your input values

Fill in all required input fields for the Titration Calculator. Follow the units and input format printed next to each field. Where a unit selector is available, choose the units that match your data.

2

Review your inputs

Double-check that all values are correct and match the units or format shown for each field. Incorrect units are the most common source of calculation errors and can produce results that are off by factors of 2, 10, or more.

3

Read the results

The Titration Calculator computes the output in your browser and displays the results, with units clearly labeled, as soon as they are ready — no data sent to a server.

4

Explore parameter sensitivity

Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.

When to Use This Calculator

  • •Use the Titration Calculator when you need accurate results quickly without the risk of manual computation errors or unit conversion mistakes.
  • •Use it to verify calculations made by hand or in spreadsheets — an independent check can catch errors before they lead to costly decisions.
  • •Use it to explore how changing input parameters affects the output — a quick way to develop intuition and identify the most influential variables.
  • •Use it when collaborating with others to ensure everyone is working from the same numbers and applying the same assumptions.

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About Titration Calculator

The titration calculator determines the unknown concentration of an acid or base from the measured volume of a titrant of known concentration needed to reach the equivalence point. Titration is a core analytical technique in chemistry where a standard solution (titrant) is added incrementally to an unknown solution (analyte) until the reaction is complete. The equivalence point is detected using a color-change indicator, a pH meter, or a conductance meter. By recording the volume of titrant consumed and knowing the reaction stoichiometry, you can calculate the analyte concentration. This calculator supports any stoichiometric ratio, accommodating monoprotic, diprotic, and polyprotic acid-base reactions.

The Math Behind It

At the equivalence point of an acid-base titration, the moles of acid equal the moles of base (adjusted for stoichiometry). For a monoprotic strong acid and strong base (e.g., HCl + NaOH), the relationship is C_acid × V_acid = C_base × V_base. For a diprotic acid like H₂SO₄ reacting with NaOH, one mole of acid reacts with two moles of base, so the general form is C_a × V_a / n_a = C_t × V_t / n_t, where n_a and n_t are the coefficients of the analyte and the titrant in the balanced equation (for H₂SO₄ + 2 NaOH, n_a = 1 and n_t = 2). The equivalence point is not the same as the endpoint: the equivalence point is the theoretical point of exact stoichiometric balance, while the endpoint is the experimentally observed signal (indicator color change). A good indicator changes color within ±0.1 pH unit of the equivalence point. For strong acid-strong base titrations, the equivalence-point pH is 7.0. For weak acid-strong base titrations, the equivalence-point pH is above 7 due to hydrolysis of the conjugate base. Selecting an indicator whose transition range matches the equivalence-point pH is essential for accurate results.

Formula Reference

Titration Equivalence

C_a × V_a / n_a = C_t × V_t / n_t

Variables: C = concentration; V = volume; n = stoichiometric coefficient; a = analyte; t = titrant

Worked Examples

Example 1: NaOH titrating HCl

25 mL of unknown HCl titrated with 0.1 M NaOH; equivalence at 25 mL.

Step 1:Both are monoprotic: n = 1 for each.
Step 2:C_HCl = (0.1 × 25 × 1) / (25 × 1) = 0.1 M.

The HCl concentration is 0.1 M.

Common Mistakes & Tips

  • !Reading the buret at the wrong point (endpoint vs. equivalence point).
  • !Forgetting stoichiometric coefficients for diprotic or triprotic acids.
  • !Not rinsing the buret with titrant solution before filling, leading to dilution error.

Related Concepts

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Frequently Asked Questions

What indicator should I use for a strong acid / strong base titration?

Phenolphthalein (transition at pH 8.2–10.0) or bromothymol blue (pH 6.0–7.6) both work well because the pH changes very steeply near the equivalence point (pH 7) for strong acid-strong base titrations.

Can I use this for redox titrations?

The mole-ratio concept applies to any titration, but you need to use the correct stoichiometric coefficients based on the balanced redox reaction rather than acid-base coefficients.

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