Titration Skills and Error Sources
Learn and apply Titration Skills and Error Sources in the published Chemistry course sequence.
Continue where you stopped
The core idea
On this page
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
- Rinse the burette with distilled water, then with the titrant solution.
- Fill the burette, run some solution through the jet to remove any air bubble, and remove the funnel.
- Pipette a fixed volume into a conical flask (use a pipette filler), add indicator.
- Record the initial burette reading (read the lower meniscus at eye level).
- Titrate with swirling; near the end-point, add titrant dropwise.
- Rinse flask walls with distilled water during titration (does not change moles; it just washes splashes down).
- 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
- Do one rough titration to find the approximate end-point.
- Do repeat titrations until two (or more) titres are concordant (use the exam’s tolerance).
- 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
- Accurately weigh a suitable primary standard. If the method uses weighing by difference, record both balance readings and subtract them.
- Dissolve the solid completely in a beaker using distilled water.
- 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.
- 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.
- 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
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.
- Write the balanced overall redox equation, using half-equations if needed.
- Use the measured titre to find the amount of titrant.
- Apply the stoichiometric ratio from the balanced equation. Do not assume a 1:1 ratio.
- Use the endpoint method stated for that system. Potassium manganate(VII) can be self-indicating; other systems may need a suitable indicator.
- If acid is required, use the acid specified. Another acid may take part in a side reaction.
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.
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
Problem
Study the worked solution
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.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
Problem
Study the worked solution
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.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.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
Problem
Try this before viewing the solution
Hints
Hint 1: start at the burette
Hint 2: use both equations
View solution step by step
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.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.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
Problem
Try this before viewing the solution
Hints
Hint 1: follow the liquid
Hint 2: compare volumes
View solution step by step
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.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
Learner method
Try this before viewing the solution
View solution step by step
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.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
Examination question
Try this before viewing the solution
View solution step by step
Identify overshoot
1 markMethod
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.Give the direction
1 markMethod
State that the recorded titre is too high.Reason
The final burette reading includes excess titrant.Working
V_recorded > V_endpoint.Prevent the error
1 markMethod
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.
Self-mark with the mark scheme
Compare your response with each mark point. Select a point only when your response contains that evidence.
Self-mark the excess addition, high direction and matched prevention.
Examiner practice 7
Explain the Starch Endpoint
Examination question
Try this before viewing the solution
View solution step by step
Choose the time
1 markMethod
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.State the endpoint
1 markMethod
Add thiosulfate dropwise until the blue-black colour just disappears.Reason
The remaining iodine has reacted.Working
Endpoint: blue-black → colourless.Explain the timing
1 markMethod
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.
Self-mark with the mark scheme
Compare your response with each mark point. Select a point only when your response contains that evidence.
Check the timing, observation and reason.
Challenge 8
Trace Water Left in a Pipette
Technique transfer
Try this before viewing the solution
Hints
Hint 1: locate dilution
Hint 2: follow moles
View solution step by step
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.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.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.