Titration Skills and Error Sources

Learn and apply Titration Skills and Error Sources in the published Chemistry course sequence.

  • GCE A-Level H2 Chemistry 9476-2027
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Titration Skills and Error Sources: Orientation

Titration marks are mostly method marks: correct technique, correct recording, and correct evaluation language. Most “lost marks” come from vague phrasing and not stating the direction of errors.

Use this with Paper 4 Skills: Planning, MMO, PDO, ACE and the Practical and QA (A Level) hub so method, data, and evaluation marks stay aligned.

Definitions (Must Know)

A. Titre

The titre is the volume delivered from the burette to reach the end-point, calculated as:

  • titre = final burette reading − initial burette reading

B. End-point

The end-point is when the indicator changes colour (the observation you use to stop the titration).

C. Rough titre

A rough titre is a first trial to locate the approximate end-point (it is usually not used in the mean).

D. Concordant titres

Concordant titres are titres that agree closely (follow the instruction given, e.g. “within 0.10 cm³”).

E. Parallax error

Parallax error is a reading error caused by viewing the meniscus from above/below eye level.

Detailed Explanations

A. Workflow: setting up and running a titration

  1. Rinse the burette with distilled water, then with the titrant solution.
  2. Fill the burette, run some solution through the jet to remove any air bubble, and remove the funnel.
  3. Pipette a fixed volume into a conical flask (use a pipette filler), add indicator.
  4. Record the initial burette reading (read the lower meniscus at eye level).
  5. Titrate with swirling; near the end-point, add titrant dropwise.
  6. Rinse flask walls with distilled water during titration (does not change moles; it just washes splashes down).
  7. Record the final burette reading and calculate the titre.

Mini example (recording):

  • initial = 0.10 cm³, final = 25.30 cm³ → titre = 25.20 cm³

B. Workflow: concordant titres and the mean

  1. Do one rough titration to find the approximate end-point.
  2. Do repeat titrations until two (or more) titres are concordant (use the exam’s tolerance).
  3. Mean only the concordant titres.

Mini example:

  • titres: 24.95, 25.05, 25.00 (within 0.10 cm³) → mean = 25.00 cm³

C. Writing “error → effect → improvement” (ACE marks)

Good evaluation answers are specific and directional.

Example: air bubble in burette tip Because some of the burette reading is used to fill the tip before any solution is delivered, therefore the recorded volume is larger than the true delivered volume (titre is too high).

Then the improvement targets that weakness:

  • “Ensure the jet is filled and free of bubbles before starting.”

D. Preparing a standard solution

  1. Accurately weigh a suitable primary standard. If the method uses weighing by difference, record both balance readings and subtract them.
  2. Dissolve the solid completely in a beaker using distilled water.
  3. Transfer the solution quantitatively into a volumetric flask. Rinse the beaker, stirring rod and funnel into the flask so that no measured solute is left behind.
  4. Add distilled water to just below the mark, then use a dropping pipette until the bottom of the meniscus is on the mark at eye level.
  5. Stopper and invert the flask several times so that the concentration is uniform.

Calculate the concentration only after converting the flask volume to dm³:

c = n/V

Common mistake

Making the solution up to the mark before all the solid has been transferred gives too few moles in the fixed volume. The concentration is then too low; adding extra water later cannot replace the lost solute.

E. Redox titrations

The glassware technique is similar, but the chemistry at the endpoint is an electron-transfer reaction rather than neutralisation.

  1. Write the balanced overall redox equation, using half-equations if needed.
  2. Use the measured titre to find the amount of titrant.
  3. Apply the stoichiometric ratio from the balanced equation. Do not assume a 1:1 ratio.
  4. Use the endpoint method stated for that system. Potassium manganate(VII) can be self-indicating; other systems may need a suitable indicator.
  5. If acid is required, use the acid specified. Another acid may take part in a side reaction.
Exam guidance

Keep technique and calculation separate in your answer: first establish reliable reacting amounts, then follow the electron ratio in the equation.

F. Iodimetric and other indirect titrations

In an indirect titration, the substance being measured first produces a second substance, which is then titrated. In an iodometric titration, the analyte often liberates iodine from iodide ions. The iodine is then titrated with thiosulfate. This differs from direct iodimetry, in which iodine itself is the titrant.

I₂ + 2S₂O₃²⁻ → 2I⁻ + S₄O₆²⁻

Work backwards through both equations:

n(S₂O₃²⁻) → n(I₂) → n(analyte)

Add starch only when the iodine solution has become pale yellow. Adding it too early produces an intense iodine–starch colour that can make the endpoint slow and difficult to judge. Near the endpoint, add thiosulfate dropwise until the blue-black colour just disappears.

What the titre measures

The burette does not measure the analyte directly. It measures the iodine formed from it, so both reaction ratios must appear in a complete calculation.

Worked Examples

Build reliable titres

Modelled example 1

Explain Why Concordant Titres Are Used

Core

Problem

Explain why a mean titre is calculated from concordant titres rather than from every titration result.
Study the worked solution
  1. Use agreement as evidence

    Method

    Select titres that agree within the tolerance stated in the question.

    Reason

    Close agreement shows that repeated endpoint technique is consistent.

    Working

    Concordance supports reliability; it does not prove absence of systematic error.
  2. Calculate the representative value

    Method

    Exclude the rough titre and any justified non-concordant result, then average the concordant titres.

    Reason

    A mean of consistent repeats reduces the influence of random variation.

    Working

    V bar = (∑ V_concordant)/n.

Extend to standard solutions and iodine–thiosulfate titrations

Modelled example 2

Prepare a Standard Solution Correctly

Core

Problem

A student uses 1.325 g of anhydrous sodium carbonate, Mᵣ = 106.0, to prepare 250.0 cm³ of standard solution. Describe the preparation and calculate the concentration.
Study the worked solution
  1. Find the amount of solute

    Method

    Convert the measured mass into moles.

    Reason

    The concentration depends on the amount actually transferred.

    Working

    n = 1.325/106.0 = 0.01250 mol.
  2. Transfer quantitatively

    Method

    Dissolve the solid, transfer it to a 250.0 cm³ volumetric flask and rinse the beaker, rod and funnel into the flask.

    Reason

    Every measured mole must reach the final solution.

    Working

    Make up to the mark at eye level, stopper and invert several times.
  3. Calculate the concentration

    Method

    Divide by the final volume in dm³.

    Reason

    Molar concentration uses mol dm⁻³.

    Working

    c = 0.01250/0.2500 = 0.05000 mol dm⁻³.

Guided practice 3

Work Backwards Through an Iodometric Titration

About 8 min

Problem

A 25.0 cm³ bleach sample reacts with excess acidified iodide to form iodine. The iodine requires 18.60 cm³ of 0.100 mol dm⁻³ thiosulfate. Given that 1 mol ClO⁻ forms 1 mol I₂, calculate [ClO⁻].

Try this before viewing the solution

Hints

Hint 1: start at the burette
First calculate moles of thiosulfate.
Hint 2: use both equations
Two moles of thiosulfate react with one mole of iodine; iodine and hypochlorite are 1:1.
View solution step by step
  1. Use the titre

    Method

    Find the amount of thiosulfate delivered.

    Reason

    This is the directly measured reacting amount.

    Working

    n(S₂O₃²⁻) = 0.100(18.60 × 10⁻³) = 1.860 × 10⁻³ mol.
  2. Follow both ratios

    Method

    Convert thiosulfate to iodine, then iodine to hypochlorite.

    Reason

    The analysis is indirect.

    Working

    n(I₂) = (1.860 × 10⁻³)/2 = 9.30 × 10⁻⁴ mol; hence n(ClO⁻) = 9.30 × 10⁻⁴ mol.
  3. Use the sample volume

    Method

    Divide by 0.0250 dm³.

    Reason

    The calculated moles came from the 25.0 cm³ aliquot.

    Working

    [ClO⁻] = 0.0372 mol dm⁻³.

Explain the direction of ordinary titration errors

Guided practice 4

Trace the Effect of an Air Bubble in the Burette Tip

About 6 min

Problem

An air bubble remains in the burette tip when the initial reading is taken. Explain the effect on the recorded titre.

Try this before viewing the solution

Part of indicated volume first
Recorded titre

Hints

Hint 1: follow the liquid
Distinguish movement out of the burette reservoir from delivery into the conical flask.
Hint 2: compare volumes
The reading change includes both tip filling and flask delivery.
View solution step by step
  1. Account for tip filling

    Method

    State that some titrant displaces the air and fills the jet.

    Reason

    That portion changes the burette reading but does not reach the flask.

    Working

    V_reading = Vₜᵢₚ + V_flask.
  2. Give the direction

    Method

    Conclude that the recorded titre is too high.

    Reason

    The indicated volume is larger than the volume that actually reacted in the flask.

    Working

    Improvement: run titrant through the jet and remove bubbles before the initial reading.

Common misconception 5

Correct a Mean That Includes the Rough Titre

Find and correct the mistake

Learner method

A learner averages the rough titre together with all accurate titres because “more values always make a mean more reliable”. Correct the method.

Try this before viewing the solution

Purpose of rough titre
Values to average

View solution step by step
  1. Classify the rough run

    Method

    Use the rough titration only to locate the approximate endpoint.

    Reason

    It is normally performed quickly and is not collected with the controlled dropwise approach used for accurate titres.

    Working

    Rough titre guides later additions.
  2. Select the mean data

    Method

    Apply the stated concordance tolerance and average only the concordant accurate titres.

    Reason

    Adding a lower-quality or inconsistent value can move the mean away from the reproducible endpoint.

    Working

    Quality and agreement determine inclusion, not raw count alone.

Examiner practice 6

Evaluate Endpoint Overshoot

3 marks

Examination question

A student adds titrant rapidly near the endpoint and the indicator colour passes well beyond the first permanent change. Explain the effect on the titre and state a specific prevention. [3 marks]

Try this before viewing the solution

View solution step by step
  1. Identify overshoot

    1 mark

    Method

    State that excess titrant is delivered after the endpoint is reached.

    Reason

    Rapid addition does not allow the first permanent colour change to be judged promptly.

    Working

    Delivered amount exceeds the equivalence requirement.
  2. Give the direction

    1 mark

    Method

    State that the recorded titre is too high.

    Reason

    The final burette reading includes excess titrant.

    Working

    V_recorded > V_endpoint.
  3. Prevent the error

    1 mark

    Method

    Add titrant dropwise with swirling near the endpoint and use a white tile to see the first permanent change.

    Reason

    Small additions and better contrast reduce the chance of passing the endpoint.

    Working

    Dropwise + swirl + first permanent colour change.

Examiner practice 7

Explain the Starch Endpoint

3 marks

Examination question

In an iodometric titration, explain when starch should be added, describe the final endpoint and state why starch is not added at the start. [3 marks]

Try this before viewing the solution

View solution step by step
  1. Choose the time

    1 mark

    Method

    Add starch when the iodine solution is pale yellow, close to the endpoint.

    Reason

    Only a small amount of iodine remains.

    Working

    Add starch at pale yellow, then continue the titration dropwise.
  2. State the endpoint

    1 mark

    Method

    Add thiosulfate dropwise until the blue-black colour just disappears.

    Reason

    The remaining iodine has reacted.

    Working

    Endpoint: blue-black → colourless.
  3. Explain the timing

    1 mark

    Method

    Do not add starch at the start.

    Reason

    The intense iodine–starch association at high iodine concentration can make the endpoint slow and difficult to judge.

    Working

    High iodine concentration can retain iodine in the complex and delay a sharp colour change.

Challenge 8

Trace Water Left in a Pipette

Minimal support

Technique transfer

A pipette contains residual deionised water before it is filled to the mark with an acid sample. The acid is titrated with alkali of known concentration. Predict the effect on the mean titre and on the calculated acid concentration.

Try this before viewing the solution

Mean titre
Calculated acid concentration

Hints

Hint 1: locate dilution
Water in the pipette mixes with the acid before the aliquot is delivered.
Hint 2: follow moles
Fewer acid moles require fewer alkali moles at equivalence.
View solution step by step
  1. Trace the aliquot

    Method

    State that residual water dilutes the acid inside the pipette, so the delivered aliquot contains fewer acid moles.

    Reason

    The pipette still delivers its nominal total volume, but not the intended acid concentration.

    Working

    n(acid in aliquot) is too low.
  2. Predict the titre

    Method

    Conclude that less alkali is required and the mean titre is too low.

    Reason

    Equivalence moles follow the reaction ratio.

    Working

    V(alkali) is too low.
  3. Predict the reported concentration

    Method

    Conclude that the calculated concentration of the original acid is too low.

    Reason

    The calculation assigns the underestimated moles to the nominal pipette volume.

    Working

    Rinse the pipette with the acid sample before transfer.

Mind Stretchers

Mind stretcher 1: Trace water left in the buretteExtension

In a titration, a student should rinse the burette with 0.100 mol dm⁻³ NaOH(aq) but forgets and leaves some distilled water in the burette. The student then fills the burette with NaOH(aq) and performs the titration to find the concentration of an acid in the conical flask. State the effect on the mean titre and the calculated concentration of the acid.

Show Hint

Trace whether the contamination changes the moles in the flask, the delivered concentration, or only the final volume.

Show Answer

Mark scheme:

  • The NaOH(aq) in the burette is diluted, so its concentration is lower than 0.100 mol dm⁻³.
  • A larger volume of titrant is needed to reach the end-point, so the mean titre is too high.
  • In calculations, the student still uses 0.100 mol dm⁻³, so moles of NaOH (and therefore acid) are overestimated.
  • Calculated concentration of the acid is too high.

Mind stretcher 2: Distinguishing harmless rinsing from a systematic errorExtension

Question. A student rinses the conical flask with deionised water but rinses the burette with deionised water immediately before filling it with titrant. Explain why only one action changes the calculated result and predict the direction of the titre error.

Show Hint

Trace whether the contamination changes the moles in the flask, the delivered concentration, or only the final volume.

Show Answer

Water in the conical flask changes total volume but not the moles delivered by the pipette, so it does not change the equivalence amount. Water left in the burette dilutes the titrant. A larger volume is therefore needed to supply the required moles, so the titre is too high and a concentration calculated by assuming undiluted titrant is biased.