Find moles of the known solution with moles = concentration × volume, use the equation's mole ratio, then divide by the unknown's volume. Free notes.
Updated 22 Mar 2026 · Revise Right Team
Titration Calculations is part of Reactions of acids in GCSE Edexcel Higher Chemistry.
3 min
Reading time
22
Lessons in this topic
GCSE Edexcel Higher
Pathway
Reviewed by Revise Right
Content review
What this lesson covers
Find moles of the known solution with moles = concentration × volume, use the equation's mole ratio, then divide by the unknown's volume. Free notes.
Calculate concentrations in mol/dm³ and g/dm³ from titration data
Apply the relationship between moles, concentration and volume in titration calculations
Determine the concentration of unknown solutions using titration results
Evaluate the accuracy of titration calculations and identify sources of error
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Use this lesson to stay inside Reactions of acids while connecting the detail back to the wider Topic 3: Chemical changes topic.
Topic 3: Chemical changes
Reactions of acids
GCSE Edexcel Higher Chemistry
Revision notes
Read the core explanations from Titration Calculations before testing yourself from memory.
1. Understanding Titration Calculations
You've done titrations in the lab - carefully adding acid to alkali until the indicator changes colour. But here's the real power: those volume readings can tell you the exact concentration of unknown solutions. This is how chemists analyse everything from soil samples to medicines.
The key insight is that at the end point, the moles of acid and alkali react in the ratio shown by the balanced equation, for example 1:1 for HCl and NaOH. Once you know the moles, you can calculate concentration in two different ways - and examiners love to test both.
2. The Essential Formulae
All titration calculations use the same core relationship between moles, concentration and volume. Master this triangle and you'll crack any titration question.
3. Step-by-Step Titration Calculations
Every titration calculation follows the same logical sequence. Let's work through a complete example to see how the pieces fit together.
Worked example: Finding Unknown Concentration (mol/dm³)
25.0 cm³ of sodium hydroxide solution is neutralised by 23.2 cm³ of 0.150 mol/dm³ hydrochloric acid. Calculate the concentration of the sodium hydroxide in mol/dm³. [4 marks]
$\text{HCl} + \text{NaOH} \rightarrow \text{NaCl} + \text{H}_2\text{O}$ — Shows 1:1 mole ratio - this is crucial for the calculation
From equation: 1 mol HCl neutralises 1 mol NaOH
So moles NaOH = 0.00348 mol — Use the 1:1 ratio from the balanced equation
Volume NaOH = 25.0 cm³ = 0.0250 dm³
Concentration = $\frac{0.00348}{0.0250}$ = 0.139 mol/dm³ — [A1] for final answer with correct significant figures
Answer: 0.139 mol/dm³
Notice how we used the balanced equation to find the mole ratio. This is always step 1 - without it, you can't connect the moles of one substance to the other.
4. Converting Between Concentration Units
Examiners often ask you to express concentration in g/dm³ instead of mol/dm³. The trick is to use relative atomic masses to convert between moles and grams.
Worked example: Converting mol/dm³ to g/dm³
A solution of sodium chloride has a concentration of 0.200 mol/dm³. Calculate its concentration in g/dm³. (Relative atomic masses: Na = 23, Cl = 35.5) [3 marks]
$M_r$(NaCl) = 23 + 35.5 = 58.5 — Add up all the relative atomic masses
Mass = moles × $M_r$
Mass = 0.200 × 58.5 = 11.7 g — [M1] for using correct formula
Concentration = 11.7 g/dm³ — [A1] for correct answer with units
Answer: 11.7 g/dm³
5. Complex Titration Problems
Higher-tier questions often involve acids or bases that don't have a 1:1 ratio. The method is identical, but you must use the balanced equation carefully to find the correct mole ratio.
Worked example: Diprotic Acid Titration
20.0 cm³ of sulfuric acid is neutralised by 35.6 cm³ of 0.250 mol/dm³ potassium hydroxide. Calculate the concentration of sulfuric acid in mol/dm³. [5 marks]
$\text{H}_2\text{SO}_4 + 2\text{KOH} \rightarrow \text{K}_2\text{SO}_4 + 2\text{H}_2\text{O}$ — Shows 1:2 ratio - one H₂SO₄ neutralises two KOH
From equation: 2 mol KOH neutralises 1 mol H₂SO₄
moles H₂SO₄ = $\frac{0.00890}{2}$ = 0.00445 mol — [M1] for using correct mole ratio
Volume H₂SO₄ = 20.0 cm³ = 0.0200 dm³
Concentration = $\frac{0.00445}{0.0200}$ = 0.223 mol/dm³ — [A1] for final answer
Answer: 0.223 mol/dm³
6. Exam Success Strategies
Titration calculations are mark-heavy questions that follow predictable patterns. Here's how to maximise your marks and avoid the common traps that catch students out.
Common Exam Mistakes: Students often forget to convert volumes or use the wrong mole ratio. The equation H₂SO₄ + 2NaOH shows that 1 mole of acid neutralises 2 moles of base - not 1:1.
Mark Scheme Language: Use phrases like "from the balanced equation" and "using n = cv" to show your method clearly. Examiners give method marks even if your final answer is wrong.
Exam precision note: In Titration Calculations - Titrations (chemistry only) - Reactions of acids, always identify the key chemical idea first, then link it to evidence, data, or an equation. A high-scoring GCSE answer names the particles involved, states what changes, and justifies the conclusion using correct scientific language. Where calculations are used, show each step with units and keep significant figures sensible. Finally, check that terminology matches AQA wording so your answer is unambiguous and mark-scheme friendly.
Titration calculations are most secure when students separate the stages of the method. First, identify the mean titre from concordant results. Second, use concentration and volume to calculate the number of moles in the known solution. Third, apply the balanced equation to find the number of moles in the unknown solution, which may or may not be a 1:1 ratio. Finally, use the flask volume to calculate the unknown concentration if required. This staged approach prevents the common mistake of assuming equal moles in every titration.
Sources and content standards
Published by Revise Right. Use the official specification reference to check the requirements for your course. Content updated: 2026-03-22.
Converting cm³ to dm³ works like this: 23.2 cm³ = 0.0232 dm³ and 35.6 cm³ = 0.0356 dm³. Students often forget to convert volumes in titration calculations.
How do you calculate the mean titre?
The mean titre is the mean of the concordant titres only. It is the first stage of a titration calculation, before working out moles of the known solution.
What is the relative formula mass of sodium chloride?
The relative formula mass (Mr) of sodium chloride, NaCl, is 23 + 35.5 = 58.5. A 0.200 mol/dm³ solution therefore has a concentration of 0.200 × 58.5 = 11.7 g/dm³.
How do you calculate concentration from a titration?
Calculate moles of the known solution with moles = concentration × volume, use the balanced equation to find moles of the unknown, then divide by its volume. For 23.2 cm³ of 0.150 mol/dm³ HCl neutralising 25.0 cm³ of NaOH, moles = 0.00348, so NaOH = 0.00348 ÷ 0.0250 = 0.139 mol/dm³.
How do you convert mol/dm³ to g/dm³?
To convert mol/dm³ to g/dm³, use mass = moles × Mr for 1 dm³ of solution. For 0.200 mol/dm³ sodium chloride, Mr = 23 + 35.5 = 58.5, so the concentration is 0.200 × 58.5 = 11.7 g/dm³.
What are common mistakes in titration calculations?
Students often forget to convert volumes from cm³ to dm³ or use the wrong mole ratio, or assume equal moles in every titration. For example, H₂SO₄ + 2NaOH shows that 1 mole of acid neutralises 2 moles of base, not 1:1.
What are the steps in a titration calculation?
First find the mean titre from concordant results. Second, use concentration and volume to calculate moles in the known solution. Third, use the balanced equation to find moles in the unknown solution, which may not be a 1:1 ratio. Finally, use the flask volume to calculate the unknown concentration.
Do acids and alkalis always react in a 1:1 ratio?
Acids and alkalis do not always react in a 1:1 ratio. HCl and NaOH react 1:1, but H₂SO₄ + 2NaOH shows 1 mole of acid neutralising 2 moles of base, so assuming equal moles is a common mistake.