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Titration calculations for unknown concentration and volume Revision Notes | GCSE Edexcel Higher Chemistry

n = cv means moles = concentration (mol/dm³) × volume (dm³). Free GCSE Edexcel Chemistry notes with key definitions and 3 questions answered.

Updated 23 Mar 2026 · Revise Right Team

Titration calculations for unknown concentration and volume is part of Using concentrations of solutions in mol/dm 3 (chemistry only) (HT only) in GCSE Edexcel Higher Chemistry.

3 min

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41

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GCSE Edexcel Higher

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What this lesson covers

n = cv means moles = concentration (mol/dm³) × volume (dm³). Free GCSE Edexcel Chemistry notes with key definitions and 3 questions answered.

  • 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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Key ideas to keep in view

Use this lesson to stay inside Using concentrations of solutions in mol/dm 3 (chemistry only) (HT only) while connecting the detail back to the wider Topic 5: Separate chemistry 1 topic.

  • Topic 5: Separate chemistry 1
  • Using concentrations of solutions in mol/dm 3 (chemistry only) (HT only)
  • GCSE Edexcel Higher Chemistry

Revision notes

Read the core explanations from Titration calculations for unknown concentration and volume 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]

  1. $\text{HCl} + \text{NaOH} \rightarrow \text{NaCl} + \text{H}_2\text{O}$ — Shows 1:1 mole ratio - this is crucial for the calculation
  2. Volume = 23.2 cm³ = 0.0232 dm³ moles HCl = 0.150 × 0.0232 = 0.00348 mol — [M1] for converting volume, [M1] for calculating moles
  3. From equation: 1 mol HCl neutralises 1 mol NaOH So moles NaOH = 0.00348 mol — Use the 1:1 ratio from the balanced equation
  4. 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]

  1. $M_r$(NaCl) = 23 + 35.5 = 58.5 — Add up all the relative atomic masses
  2. Mass = moles × $M_r$ Mass = 0.200 × 58.5 = 11.7 g — [M1] for using correct formula
  3. 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]

  1. $\text{H}_2\text{SO}_4 + 2\text{KOH} \rightarrow \text{K}_2\text{SO}_4 + 2\text{H}_2\text{O}$ — Shows 1:2 ratio - one H₂SO₄ neutralises two KOH
  2. Volume = 35.6 cm³ = 0.0356 dm³ moles KOH = 0.250 × 0.0356 = 0.00890 mol — [M1] for volume conversion, [M1] for moles calculation
  3. From equation: 2 mol KOH neutralises 1 mol H₂SO₄ moles H₂SO₄ = $\frac{0.00890}{2}$ = 0.00445 mol — [M1] for using correct mole ratio
  4. 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.

Frequently asked questions

What does n = cv mean in titration calculations?

n = cv means moles = concentration (mol/dm³) × volume (dm³). For 23.2 cm³ of 0.150 mol/dm³ hydrochloric acid, the volume is 0.0232 dm³, so n = 0.150 × 0.0232 = 0.00348 mol, and writing using n = cv shows the method clearly.

How do you calculate the concentration of sulfuric acid from a titration?

Sulfuric acid reacts in a 1:2 ratio: H₂SO₄ + 2 KOH → K₂SO₄ + 2 H₂O. If 35.6 cm³ of 0.250 mol/dm³ KOH neutralises 20.0 cm³ of acid, moles KOH = 0.00890, so moles H₂SO₄ = 0.00445 and concentration = 0.00445 ÷ 0.0200 = 0.223 mol/dm³.

Why do you need a balanced equation in titration calculations?

A balanced equation is needed because it gives the mole ratio connecting the moles of one substance to the other. HCl and NaOH react 1:1, but one mole of H₂SO₄ neutralises 2 moles of base, so assuming equal moles in every titration is a common mistake.

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