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A Level Chemistry Acid-Base Titrations and Standard Solutions Practical

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A Level Chemistry Acid-Base Titrations and Standard Solutions Practical

Prepare a sodium carbonate primary-standard solution, use it to standardise hydrochloric acid, and then use the standardised acid to determine the concentration of an unknown sodium hydroxide solution. The guide covers accurate volumetric technique, calculations, indicator choice, concordant titres, uncertainty, troubleshooting, exam preparation and teacher/technician support.

A-Level student carrying out a titration using a burette

Teacher note: The techniques in this guide align closely with UK A-Level requirements for preparing volumetric solutions and carrying out acid-base titrations. Examination boards may prescribe different reagents or a different titration direction. Centres should adapt the chemical system, quantities, assessment evidence and risk assessment to the current specification and local laboratory procedures they use.

Level
A-Level Chemistry
Topic
Physical chemistry
Practical sequence
Three linked stages
Core techniques
Volumetric solution + titration
Indicators
Methyl orange + phenolphthalein
Suggested teaching time
3 × 50-75 min or 2 extended blocks

Why this practical matters

Titration is one of the most widely used quantitative techniques in chemistry. It allows an unknown concentration to be determined from accurately measured volumes and a balanced chemical equation.

Related methods are used in pharmaceutical manufacture, food and drink analysis, environmental monitoring, water treatment and quality control.

The full analytical chain

  • Part A: prepare 250.0 cm3 of an approximately 0.1000 mol dm−3 sodium carbonate primary-standard solution.
  • Part B: use the sodium carbonate solution to standardise hydrochloric acid.
  • Part C: use the standardised hydrochloric acid to determine the concentration of an unknown sodium hydroxide solution.

Practical overview

The aim is to prepare a primary-standard solution accurately, use it to standardise an acid by titration, and then use the standardised acid to determine the concentration of an unknown alkali.

Learning objectives

  • Calculate the mass of solid needed to prepare a solution of a chosen concentration and volume.
  • Measure mass accurately by difference.
  • Dissolve a solid and carry out a quantitative transfer into a volumetric flask.
  • Make a solution up to the calibration mark and mix it thoroughly.
  • Prepare and use a burette and volumetric pipette correctly.
  • Select a suitable indicator and identify a reproducible endpoint.
  • Obtain and select concordant titres.
  • Calculate concentrations from mass, volume and stoichiometric data.
  • Distinguish accuracy, precision, repeatability, uncertainty and error.
  • Evaluate the effect and direction of important procedural errors.

Success criteria

  • Preparation: clear solution quantitatively transferred, made to the mark at eye level, mixed and labelled.
  • Technique: valid burette readings, safe pipette use and a dropwise endpoint approach.
  • Data: a justified concordant set using the centre's stated criterion.
  • Calculation: balanced equations, conversions, mole ratios, working and significant figures shown.
  • Evaluation: key uncertainties quantified where possible and improvements linked to specific causes.

Background theory

What is a titration?

A titration is a quantitative technique in which a measured amount of one solution is reacted with another solution whose concentration is known. The volume delivered from the burette is used with the balanced equation to determine an unknown amount or concentration.

Equivalence point and endpoint

Equivalence point: the theoretical point at which reactants have been mixed in the exact stoichiometric ratio shown by the balanced equation.

Endpoint: the observed indicator colour change used to estimate the equivalence point.

A suitable indicator changes colour within the steep part of the titration curve, so its endpoint lies close to the equivalence point.

Standard-solution terminology

Term Meaning
Primary-standard solution Prepared directly from an accurately measured mass of a suitable high-purity solid and an accurately known final volume.
Standardised solution A solution whose concentration has been determined experimentally by titration against a primary standard.
Aliquot A measured portion of solution transferred using a pipette.
Titre The volume delivered from the burette: final reading − initial reading.

Part B reaction

Na2CO3(aq) + 2HCl(aq) → 2NaCl(aq) + H2O(l) + CO2(g)

Stoichiometric ratio: 1 mol Na2CO3 : 2 mol HCl.

Part C reaction

HCl(aq) + NaOH(aq) → NaCl(aq) + H2O(l)

Stoichiometric ratio: 1 mol HCl : 1 mol NaOH.

Part A - prepare a primary-standard solution

Prepare 250.0 cm3 of an approximately 0.1000 mol dm−3 solution of anhydrous sodium carbonate, Na2CO3. Confirm the exact formula, grade and supplier assay before calculating the concentration.

Do not use the wrong formula: the calculation below uses anhydrous sodium carbonate with M(Na2CO3) = 106.0 g mol−1. Hydrated sodium carbonate or washing soda has a different formula mass and cannot be substituted using the same target mass.

Calculate the target mass

1. Convert the volume

250.0 cm3 ÷ 1000 = 0.2500 dm3

2. Calculate moles

n = cV = 0.1000 × 0.2500 = 0.02500 mol

3. Convert to mass

m = nM = 0.02500 × 106.0 = 2.650 g

Target mass: aim to transfer approximately 2.650 g. Do not waste time trying to obtain exactly 2.650 g; record the mass actually transferred and use that value to calculate the prepared concentration.

Apparatus and pre-start checks

Measurement and transfer

  • Balance readable to at least 0.01 g; 0.001 g is preferable.
  • Clean, dry weighing bottle or suitable weighing container.
  • Spatula.
  • Label and permanent marker.
  • Approximately 2.7 g anhydrous sodium carbonate of suitable grade.

Dissolution and final volume

  • 250 cm3 beaker.
  • Glass stirring rod.
  • Small funnel.
  • 250.0 cm3 volumetric flask with stopper.
  • Wash bottle of distilled or deionised water.
  • Clean Pasteur or dropping pipette.

Pre-start: confirm that the balance is clean, level and at zero; the weighing container is clean and dry; the volumetric flask is the correct capacity with a matching stopper; the calibration mark is visible; the glassware is undamaged; and the chemical formula, grade and assay have been checked.

Accurate weighing by difference

1

First mass

Place the closed weighing bottle containing sodium carbonate on the balance, wait for a stable reading and record the mass before transfer, m1.

2

Transfer the solid

Transfer approximately 2.650 g into the 250 cm3 beaker. If solid is spilled elsewhere, stop and repeat with a new measurement.

3

Second mass

Reweigh the bottle and remaining solid and record m2.

4

Calculate the transferred mass

mass transferred = m1 − m2

Good weighing practice: use the same balance for both readings; record every mass exactly as displayed; keep the weighing bottle closed except while transferring; and do not return unused solid to the stock bottle.

Dissolving and quantitative transfer

  1. Add approximately 100 cm3 distilled or deionised water to the beaker and stir until every crystal has dissolved.
  2. Place a clean funnel in the neck of the 250.0 cm3 volumetric flask and transfer the solution.
  3. Rinse the beaker and glass rod with small portions of water and transfer the washings to the flask.
  4. Repeat the beaker-and-rod rinse at least twice.
  5. Rinse the inside and stem of the funnel into the volumetric flask, then remove the funnel.

Quantitative transfer: all of the dissolved sodium carbonate must reach the volumetric flask - original solution, beaker washings, glass-rod washings and funnel washings. The wash water does not change the amount of sodium carbonate; the final volume is adjusted later to the calibration mark.

Make up to the mark, mix and label

  1. Add water until the liquid is about 1-2 cm below the mark. If the solution is noticeably warmer or cooler than room temperature, allow it to return to room temperature before the final dilution.
  2. Place the flask upright on a level surface and bring your eye to the height of the calibration mark.
  3. Use a clean Pasteur pipette to add water one drop at a time until the bottom of the concave meniscus just touches the line.
  4. Insert the stopper and invert the flask repeatedly; ten complete inversions is a useful routine.
  5. Label with sodium carbonate / Na2CO3(aq), the calculated concentration, mass transferred, final volume, date and name/initials, plus any locally required hazard/storage information.

If the flask is overfilled: do not remove some solution and continue. Removing liquid removes both solute and solvent and does not restore the intended concentration. Prepare the solution again.

Worked concentration example

Measurement Mass / g
Weighing bottle + solid before transfer 24.817
Weighing bottle + solid after transfer 22.160
Mass transferred 2.657

m = 24.817 − 22.160 = 2.657 g

n(Na2CO3) = 2.657 ÷ 106.0 = 0.02507 mol

c(Na2CO3) = 0.02507 ÷ 0.2500 = 0.1003 mol dm−3

General equation: c = (m1 − m2) ÷ (M × V), with masses in g and V in dm3.

If a certified assay is supplied and the centre's method requires the correction: effective mass = mass transferred × assay ÷ 100.

Part B - standardise the hydrochloric acid

Use the sodium carbonate primary-standard solution prepared in Part A to determine the concentration of approximately 0.100 mol dm−3 hydrochloric acid. The balanced equation is:

Na2CO3(aq) + 2HCl(aq) → 2NaCl(aq) + H2O(l) + CO2(g)

Stoichiometric ratio: 1 mol Na2CO3 reacts with 2 mol HCl.

Arrangement used in Part B

  • Burette: hydrochloric acid, approximately 0.100 mol dm−3.
  • 10.00 cm3 volumetric pipette: prepared Na2CO3 solution.
  • Conical flask: 10.00 cm3 Na2CO3 plus 2-3 drops methyl orange.
  • Initial colour: yellow.
  • Endpoint: the first persistent orange colour after thorough swirling.

Why methyl orange?

Sodium carbonate reacts with strong acid in stages. Methyl orange is suitable for detecting the complete neutralisation endpoint used here. Phenolphthalein would change colour at an earlier carbonate-to-hydrogencarbonate stage and is therefore not appropriate for the full reaction represented by the equation above.

Expected observation: carbon dioxide effervescence is normal. Add acid more slowly near the endpoint and never stopper the conical flask during the reaction.

Apparatus

Volumetric equipment

Reaction equipment

  • 250 cm3 conical flask
  • White tile
  • Wash bottle with distilled or deionised water
  • Two labelled beakers for small working portions of HCl and Na2CO3

Technique checks

  • Clamp the burette vertically and fill below face level.
  • Run acid through the tap and jet to remove air bubbles.
  • Remove the filling funnel before taking any burette reading.
  • Read the bottom of the concave meniscus at eye level.
  • Use a pipette filler - never pipette by mouth.

Correct rinsing

Item Rinse with Why?
Burette A small portion of HCl Prevents residual water diluting the titrant.
10.00 cm3 pipette A small portion of Na2CO3 solution Prevents residual water diluting the aliquot.
Conical flask Distilled or deionised water only Extra water changes concentration in the flask but not the measured moles of Na2CO3.

Burette-reading convention used in this guide: for a burette divided into 0.1 cm3 intervals, estimate to the nearest 0.05 cm3 and record each reading to two decimal places. A valid individual reading will normally end in 0 or 5.

Rough titration

  1. Pipette 10.00 cm3 sodium carbonate solution into a clean conical flask and add 2-3 drops of methyl orange.
  2. Record the initial burette reading.
  3. Add HCl while swirling continuously. In the early stages the acid can be added relatively quickly.
  4. As the colour change becomes slower to reverse after swirling, reduce the flow rate.
  5. Near the endpoint add HCl one drop at a time, swirling thoroughly.
  6. Stop at the first persistent orange colour and record the final burette reading.
  7. Calculate the rough titre: final reading − initial reading.

The rough titre is not included in the mean. It is used to locate the endpoint so that later repeats can be approached quickly and then controlled dropwise.

Controlled repeat titrations

  1. Prepare a fresh 10.00 cm3 aliquot and fresh indicator for every repeat.
  2. Record a new initial burette reading; the burette does not need to start at 0.00 cm3.
  3. Use the rough titre to add HCl rapidly until approximately 1 cm3 before the expected endpoint.
  4. Reduce the flow and add the final acid one drop at a time while swirling.
  5. Stop at the first persistent orange colour.
  6. Repeat until a justified concordant set has been obtained.
  7. Calculate the mean using every titre in the selected concordant set, excluding the rough titre and any result excluded for a documented procedural reason.

Concordance convention in this guide: a selected set is treated as concordant when the largest and smallest titres differ by no more than 0.10 cm3. Follow the precise convention required by your examination board or centre.

Worked standardisation example

Titration Initial / cm3 Final / cm3 Titre / cm3 Use in mean?
Rough 0.20 20.55 20.35 No
Repeat 1 0.10 20.20 20.10 Yes
Repeat 2 1.35 21.40 20.05 Yes
Repeat 3 0.50 20.60 20.10 Yes

Mean titre

(20.10 + 20.05 + 20.10) ÷ 3 = 20.08 cm3

Calculate HCl concentration

n(Na2CO3) = 0.1003 × 0.01000 = 0.001003 mol

n(HCl) = 2 × 0.001003 = 0.002006 mol

c(HCl) = 0.002006 ÷ 0.02008 = 0.09990 mol dm−3

Complete Titration Apparatus Set-Up

Part C - determine the unknown sodium hydroxide concentration

Use the standardised hydrochloric acid from Part B to determine the concentration of an unknown sodium hydroxide solution.

HCl(aq) + NaOH(aq) → NaCl(aq) + H2O(l)

Stoichiometric ratio: 1 mol HCl reacts with 1 mol NaOH.

Arrangement used in Part C

  • Burette: standardised HCl; 0.09990 mol dm−3 in the worked example.
  • 25.0 cm3 volumetric pipette: unknown NaOH solution.
  • Conical flask: 25.0 cm3 NaOH + 2-3 drops phenolphthalein.
  • Endpoint: first permanent disappearance of the pale pink colour after swirling.

Colour sequence

The sodium hydroxide solution is colourless before indicator is added. Phenolphthalein makes the alkaline solution pale pink. As HCl is added, the correct endpoint is the first permanent disappearance of the pale pink colour, not a strongly acidic endpoint after excess HCl has been added.

Prepare the burette

  1. Rinse the burette with a small portion of the standardised HCl.
  2. Fill the burette and run acid through the tap and jet so the tip is full and air bubbles are absent.
  3. Remove the filling funnel before taking a reading.
  4. Record the bottom of the concave meniscus at eye level to the valid precision of the burette.
  5. Do not waste time forcing the initial reading to exactly 0.00 cm3; any valid initial reading can be used.

Prepare the NaOH aliquot

  1. Rinse the volumetric pipette with distilled water if required, followed by a small portion of the NaOH solution.
  2. Use a pipette filler to draw solution above the calibration mark.
  3. Adjust the bottom of the meniscus to the mark at eye level.
  4. Deliver 25.0 cm3 into the conical flask and allow the pipette to drain naturally.
  5. Touch the pipette tip against the inside wall of the flask to remove the hanging drop.
  6. Do not blow out the residual liquid. A transfer pipette is calibrated to deliver its stated volume while retaining that liquid.
  7. Add 2-3 drops of phenolphthalein.

Conical-flask rinse: the flask may be wet with distilled or deionised water because this does not change the moles of NaOH in the measured aliquot. Do not rinse the conical flask with NaOH: that would add unmeasured moles and make the titre too large.

Rough titration

  1. Record the initial burette reading.
  2. Add HCl to the pale pink NaOH solution while swirling continuously.
  3. Add acid relatively quickly during the early part of the rough titration.
  4. As the pink colour takes longer to return after swirling, reduce the addition rate.
  5. Near the endpoint, add HCl one drop at a time.
  6. Stop at the first permanent disappearance of the pale pink colour after swirling.
  7. Record the final reading and calculate the rough titre.

Wash down splashes: if solution splashes onto the sides of the conical flask, use a small amount of distilled or deionised water to wash it back into the reaction mixture. Do not wash the sides with acid or alkali.

Controlled repeat titrations

  1. Prepare a fresh 25.0 cm3 NaOH aliquot in a clean conical flask and add 2-3 drops of phenolphthalein.
  2. Record the new initial burette reading. Refill only when required.
  3. Use the rough titre to add HCl quickly until approximately 1 cm3 before the expected endpoint.
  4. Reduce the flow, swirl thoroughly and add the final acid one drop at a time.
  5. Stop at the first permanent disappearance of the pale pink colour.
  6. Record the final reading and calculate the titre.
  7. Repeat with fresh aliquots until at least two repeat titres form a concordant set.
  8. Calculate the mean using every titre in the selected concordant set; exclude the rough titre and any justified anomalous result.
Step-by-Step Acid-Base Titration Workflow
how to read a burette correctly

Results, concordance and selecting titres

Record raw burette readings immediately, calculate every titre from final minus initial reading, and keep the rough result visibly separate from controlled repeats.

Illustrative Part C results

Titration Initial / cm3 Final / cm3 Titre / cm3 Selected?
Rough 0.00 24.80 24.80 No
Repeat 1 0.15 24.40 24.25 Yes
Repeat 2 1.05 25.25 24.20 Yes
Repeat 3 0.50 24.75 24.25 Yes

Range

24.25 − 24.20 = 0.05 cm3. This satisfies the ≤0.10 cm3 convention used in this guide.

Mean

(24.25 + 24.20 + 24.25) ÷ 3 = 24.23 cm3.

Interpretation

Concordant titres are evidence of precision and repeatability. They do not prove that the result is accurate because the same systematic error may affect every repeat.

Blank student results table

Titration Initial burette reading / cm3 Final burette reading / cm3 Titre / cm3 Use in mean?
Rough       No
Repeat 1        
Repeat 2        
Repeat 3        
Repeat 4 if required        
Concordant Results Explained

Titration calculations and stoichiometry

A reliable titration calculation should show the measured mean titre, unit conversion, balanced equation, mole ratio and final concentration. Keep unrounded calculator values through intermediate steps and round only the final result to an appropriate number of significant figures.

1. Mean titre

Use all justified concordant repeat titres. Exclude the rough titre.

2. Convert units

Convert cm3 to dm3 by dividing by 1000.

3. Titrant moles

Use n = cV, with V in dm3.

4. Mole ratio

Use the balanced-equation coefficients explicitly.

5. Unknown moles

Convert titrant moles into moles of the unknown species.

6. Aliquot volume

Convert the unknown-solution aliquot from cm3 to dm3.

7. Concentration

Use c = n/V.

8. Report correctly

Include units, working and appropriate significant figures.

General titration relationship

n(titrant) = c(titrant) × V(titrant)

n(unknown) = n(titrant) × [coefficient of unknown ÷ coefficient of titrant]

c(unknown) = n(unknown) ÷ V(unknown)

Avoid an unexplained "mole-ratio factor". Write the balanced equation and state exactly how the coefficients convert moles of one reactant into moles of the other.

Worked Part C example

Given: mean HCl titre = 24.23 cm3; c(HCl) = 0.09990 mol dm−3; NaOH aliquot = 25.0 cm3.

1

Convert the HCl titre

24.23 cm3 = 0.02423 dm3.

2

Calculate HCl moles

n(HCl) = 0.09990 × 0.02423 = 0.002421 mol.

3

Apply the 1:1 ratio

HCl + NaOH → NaCl + H2O, so n(NaOH) = 0.002421 mol.

4

Convert the NaOH aliquot

25.0 cm3 = 0.0250 dm3.

5

Calculate the NaOH concentration

c(NaOH) = 0.002421 ÷ 0.0250 = 0.0968 mol dm−3 to 3 significant figures.

titrations calculations flowchart

Neutralisation theory, indicators and pH curves

Acid-base titrations depend on stoichiometric neutralisation. For hydrochloric acid and sodium hydroxide, the molecular equation and common ionic representations are:

Molecular equation

HCl(aq) + NaOH(aq) → NaCl(aq) + H2O(l)

Net ionic equation

H+(aq) + OH(aq) → H2O(l)

Hydronium representation

H3O+(aq) + OH(aq) → 2H2O(l)

Equivalence point and endpoint

Equivalence point

The theoretical point at which the reactants have been mixed in the exact stoichiometric ratio shown by the balanced equation.

Endpoint

The observed indicator colour change used to estimate the equivalence point. The two are related but are not necessarily identical.

A suitable indicator changes colour within the steep section of the relevant titration curve, so the observed endpoint lies close to the equivalence point.

Indicator selection

Titration type Suitable approach Reason
Strong acid - strong base Phenolphthalein or methyl orange can be suitable. The pH changes very steeply through a broad region near equivalence.
Weak acid - strong base Phenolphthalein is generally preferred. Its transition range lies within the alkaline-side steep section.
Strong acid - weak base Methyl orange is generally preferred. Its transition range lies within the acidic-side steep section.
Weak acid - weak base A simple visual indicator is generally unsuitable. The pH change around equivalence is too gradual for a sharp visual endpoint; use a calibrated pH method where appropriate.
Na2CO3 with strong acid Methyl orange for complete neutralisation. Phenolphthalein responds at the earlier carbonate-to-hydrogencarbonate stage.

Why indicator choice matters

The indicator has a finite transition range, so the visible endpoint can differ slightly from the stoichiometric equivalence point. This introduces a small systematic indicator error. A strong evaluation therefore links the indicator transition range to the steep part of the titration curve rather than simply naming an indicator.

Instrumental alternative

A calibrated pH probe can record a titration curve and allow the equivalence volume to be estimated from the inflection or maximum-gradient region. This reduces subjective colour judgement but introduces different sources of uncertainty, including calibration, probe response, mixing and data treatment.

Particle Model Sequence for Acid-Base Titration

Extension investigation: how NaOH concentration affects titre volume

This extension turns the titration into a controlled investigation. Prepare sodium hydroxide solutions of different initial concentrations by accurate dilution, then titrate the same fixed aliquot volume of each against the same standardised HCl.

Independent variable

Initial concentration of NaOH, prepared accurately by dilution.

Dependent variable

Mean concordant volume of standardised HCl required to reach the endpoint.

Controlled variables

NaOH aliquot volume, HCl concentration, indicator type and drop count, temperature, apparatus, endpoint criterion and technique.

Suggested concentration series

NaOH concentration / mol dm−3 Aliquot / cm3 Mean HCl titre / cm3
0.040 25.0  
0.060 25.0  
0.080 25.0  
0.100 25.0  

Expected relationship: for a fixed 25.0 cm3 NaOH aliquot and fixed HCl concentration, the mean HCl titre should be directly proportional to the initial NaOH concentration for the 1:1 reaction. Plot initial NaOH concentration on the x-axis and mean HCl titre on the y-axis.

Advanced evaluation: uncertainty, error and experimental design

High-quality evaluation identifies the type of error, predicts its direction where possible, quantifies important uncertainty and proposes an improvement that directly addresses the cause.

Uncertainty

The quantified interval associated with a measurement or calculated result.

Random effect

Causes repeated measurements to scatter above and below a central value.

Systematic effect

Biases results consistently in one direction.

Mistake or blunder

A one-off procedural error such as using the wrong solution or misreading a scale.

Direction of important Part C errors

Issue Type / immediate effect Likely effect on calculated NaOH concentration
Endpoint judged inconsistently between repeats Random / variable titre Greater spread and poorer repeatability; no single predictable direction.
Endpoint repeatedly overshot Systematic / titre too large Calculated NaOH concentration too high.
Air bubble initially present in burette jet Some recorded volume fills the jet rather than entering the flask Titre appears too large; calculated NaOH concentration too high.
Burette not rinsed with HCl Residual water dilutes the HCl in the burette A larger titre is required; if the undiluted HCl concentration is used in the calculation, NaOH concentration is overestimated.
Pipette not rinsed with NaOH Residual water dilutes the aliquot Fewer moles of NaOH are delivered; titre and calculated NaOH concentration are too low.
Conical flask rinsed with NaOH Unmeasured additional moles of NaOH enter the flask Titre and calculated NaOH concentration are too high.
Primary standard prepared at wrong concentration Systematic bias propagates into HCl standardisation All later NaOH concentrations may be biased even if Part C titres are highly concordant.

Quantifying percentage uncertainty

Burette reading contribution

Using the conventional school treatment in this guide, each reading has an estimated reading uncertainty of ±0.05 cm3. A titre is the difference between two readings, so the worst-case absolute reading uncertainty is ±0.10 cm3.

For a 24.23 cm3 titre:

(0.10 ÷ 24.23) × 100 = 0.41%

Other contributions

Use the tolerance printed on the actual pipette and volumetric flask, or the manufacturer's certificate. Do not mix tolerance values from different glassware classes or capacities.

% uncertainty in pipette volume = pipette tolerance ÷ pipette volume × 100

% uncertainty in flask volume = flask tolerance ÷ flask volume × 100

Mass by difference

Two balance readings are subtracted. In a simple worst-case treatment, if each reading has uncertainty ±u, the mass difference has uncertainty ±2u.

% uncertainty in mass = (2u ÷ mass transferred) × 100

For multiplication and division, a common A-level treatment is to add the relevant percentage uncertainties. A full uncertainty budget for the final NaOH concentration should include uncertainty in the standardised HCl concentration as well as the Part C titre and pipette volume.

Accuracy, precision, repeatability and concordance

Concept Correct interpretation
Accuracy Closeness of a result to a true or accepted value.
Precision Closeness of repeated measurements to one another.
Repeatability Agreement when the same operator uses the same method and equipment over a short period.
Concordance A practical criterion showing that selected titres are sufficiently close; evidence of precision, not proof of accuracy.

Indicator choice, glassware and design

Improve endpoint detection

  • Use a white tile and consistent lighting.
  • Approach the endpoint dropwise with continuous swirling.
  • Use only the recommended small amount of indicator.
  • Use a calibrated pH probe or automated titration where appropriate.

Improve volumetric measurement

  • Use volumetric pipettes rather than measuring cylinders for fixed critical volumes.
  • Read the markings and tolerance of the actual Class A or Class B apparatus in use.
  • Keep the volumetric flask within its stated calibration-temperature range.
  • Consider digital burettes or automated titrators where available.

Titre size

A larger titre reduces the percentage effect of a fixed burette-reading uncertainty. Where the chemistry and safety allow, a titre of roughly 20-30 cm3 is often preferable to a very small titre.

NaOH storage

Keep sodium hydroxide stoppered and minimise prolonged exposure to air. Changes in composition during storage can create a systematic bias that repeat titrations will not remove.

Random and systematic examples

Random or variable Systematic or biased
Small variation in judging the first permanent colour change Standard solution prepared to the wrong concentration
Minor variation in drop size and swirling near the endpoint Burette consistently read from the wrong eye position
Last-digit variation in meniscus estimation Pipette or burette calibration error

Top-grade evaluation: identify the most significant uncertainty, explain whether the final result becomes too high, too low or simply more variable, support the evaluation with quantitative evidence where possible, and propose a realistic improvement linked directly to the cause. Repeats reduce random variation but do not correct a systematic bias.

Troubleshooting guide

Problem Likely cause Recommended action
Repeat titres are not concordant Endpoint overshoot, inconsistent swirling, reading error or incorrect aliquot Use a fresh aliquot, approach the endpoint dropwise, swirl consistently and read the burette at eye level.
One titre is suddenly much larger Air bubble, leak, wrong solution or extra analyte in the flask Inspect the burette jet and tap, confirm labels, prepare fresh apparatus and repeat.
Burette level changes before titration Filling funnel left in place, leak or solution draining from wet walls Remove the funnel, check the tap and jet, allow drainage, then record a fresh initial reading.
Endpoint is difficult to see Too much indicator, poor lighting, dark background or acid added too quickly Use 2-3 drops, a white tile, consistent lighting and dropwise addition near the endpoint.
No pale pink after adding phenolphthalein to NaOH Indicator omitted/wrong, NaOH too dilute, contaminated or wrong solution Check labels and method, then prepare a fresh aliquot.
Volumetric flask is above the calibration mark Final water added too quickly Discard and remake the standard solution; do not remove liquid to try to correct it.
Results depend on which aliquot is used Volumetric solution was not mixed thoroughly Stopper and invert the flask repeatedly before taking aliquots.
Calculated concentration is implausible Wrong units, formula, mole ratio, selected data or transcription Recheck cm3-to-dm3 conversion, balanced equation, coefficients and raw readings.
Methyl-orange endpoint appears unstable in Part B HCl added too fast while CO2 is evolving Slow the addition rate, swirl thoroughly and follow the centre's validated method.

Common student mistakes and their effects

Mistake Immediate consequence Likely effect on result
Using target mass instead of actual transferred mass Prepared concentration is calculated from the wrong amount Systematic error in every later concentration.
Leaving solution in the beaker, rod or funnel Not all recorded solute enters the volumetric flask Actual standard concentration is lower than calculated.
Making up above the volumetric mark Final volume too large Actual standard concentration too low.
Failing to invert the volumetric flask Solution not homogeneous Aliquots may differ; poor repeatability.
Rinsing the conical flask with NaOH Unmeasured moles added Titre and calculated [NaOH] too high.
Blowing out a transfer pipette More than the calibrated volume delivered Aliquot too large; titre too high.
Recording 24.23 cm3 as an individual burette reading under the 0.05 cm3 convention False precision Technique/recording marks may be lost; reading is not credible.
Including the rough titre in the mean Exploratory value treated as a controlled repeat Mean may be biased.
Using too much indicator Indicator can affect acidity/basicity and colour intensity Endpoint may shift and become less reproducible.

Quick examiner routine: rinse correctly • read at eye level • record valid two-decimal readings • use fresh aliquots • approach the endpoint dropwise • select a justified concordant set • convert cm3 to dm3 • show the balanced equation and ratio.

Teacher and technician preparation

The full analytical sequence is substantial. The guide recommends delivering it across three 50-75 minute lessons or two extended practical blocks rather than trying to complete every stage in one ordinary lesson.

Suggested quantities per working pair

Material Suggested maximum available Purpose
Anhydrous Na2CO3 Approximately 2.7 g Prepare 250.0 cm3 primary-standard solution.
HCl, approximately 0.100 mol dm−3 Up to 200 cm3 if rough + three repeats are planned in Parts B and C Standardise in Part B and use in Part C.
Unknown NaOH, approximately 0.100 mol dm−3 Up to 110 cm3 25.0 cm3 aliquots plus pipette rinsing.
Methyl orange Less than 1 cm3 2-3 drops per Part B titration.
Phenolphthalein Less than 1 cm3 2-3 drops per Part C titration.
Distilled/deionised water At least 500 cm3 Dissolution, washing and flask rinsing.

Before the lesson

  • Confirm exact reagent formulas, concentrations, indicator formulations and current supplier safety data sheets.
  • Check balances, burette taps, clamps, pipette fillers, volumetric flasks and stoppers.
  • Provide clean weighing containers and suitable labels.
  • Keep NaOH stoppered and minimise prolonged exposure to air.
  • Provide spare burettes and pipette fillers, but do not pre-fill apparatus if student preparation technique is being assessed.
  • Calculate total reagent demand from the number of planned repeats.
  • Confirm sodium carbonate is anhydrous and suitable for primary-standard use; dry, cool and store according to the supplier or centre procedure where required.

Suggested outcome checks

  • Prepared Na2CO3 concentration close to the intended 0.1000 mol dm−3, calculated from the actual transferred mass.
  • HCl standardisation gives a plausible value close to its nominal concentration.
  • Students record valid burette readings and obtain a justified concordant set.
  • The sodium hydroxide result is supported by a complete chain of units, stoichiometry and significant figures.
  • Students can explain the direction of key procedural errors rather than merely listing them.

Suggested lesson timing

Lesson Main activity Suggested time
1 Introduction, target-mass calculation and safety briefing 10-15 min
1 Weighing, dissolution, quantitative transfer and making to the mark 30-40 min
1 Mixing, labelling and actual-concentration calculation 10-15 min
2 Part B set-up and HCl standardisation 35-45 min
2 Concordance, mean titre and HCl calculation 15-20 min
3 Part C rough and repeat titrations 35-45 min
3 NaOH calculation, uncertainty and evaluation 20-30 min

Assessment opportunities

Observe or review Evidence
Practical planning Correct mass calculation, reagent formula and apparatus selection.
Manipulation Safe weighing, quantitative transfer, pipette-filler use, burette preparation and swirling.
Observation and recording Valid burette readings, endpoint description and complete tables.
Data processing Concordant-set selection, mean, unit conversions, stoichiometry and significant figures.
Evaluation Quantified uncertainty, direction of errors and realistic improvements.

Model risk assessment - adapt before use

This table is a starting point only. The centre must use current supplier safety data sheets, exact products and quantities, student needs and local emergency procedures. A safety data sheet informs a risk assessment but is not a substitute for one. Residual risk should be determined and recorded after controls have been matched to the actual chemicals, concentrations, apparatus, room and learners.

Core controls: wear eye protection; use pipette fillers only; fill burettes below face level; keep glassware secured and away from bench edges; use small working quantities; clean spills promptly; never stopper the carbonate-acid reaction while carbon dioxide is being produced.

Hazard or activity Potential harm Control measures Response / disposal
Anhydrous Na2CO3 solid, approx. 2.7 g Dust or splashes may irritate eyes; ingestion or skin contact. Eye protection; avoid dust; use a spatula; keep container closed; wash hands. Rinse affected area with water and follow local first-aid procedure; clean spill using the approved method.
HCl approx. 0.100 mol dm−3, up to 200 cm3 per pair Eye/skin irritation; splash during filling. Eye protection; fill burette below face level; use a small working beaker and funnel; clean spills promptly. Irrigate exposure with water and seek assistance; dispose as directed locally.
NaOH approx. 0.100 mol dm−3, up to 110 cm3 per pair Alkaline solution may irritate eyes/skin; exact classification is supplier-dependent. Eye protection; pipette filler only; keep stoppered; avoid contact. Rinse with water and follow local first-aid and spill procedure.
Methyl orange / phenolphthalein, less than 1 cm3 each Formulation may be flammable or irritating if alcohol-based; supplier-dependent. Use only drops; keep away from ignition; cap promptly; avoid contact. Follow the exact SDS and collect indicator-containing waste as locally directed.
Burette, pipette and volumetric glassware Breakage, cuts or falling apparatus. Inspect glassware; secure clamp and stand; keep away from bench edge; never force fittings. Do not pick up shards by hand; use the designated broken-glass procedure.
Pipetting Ingestion or exposure if mouth pipetting is attempted. Use a compatible pipette filler only and train students before use. Stop work and follow the centre's local exposure procedure.
CO2 evolution in Part B Fizzing and splash risk if acid is added too quickly; pressure risk if the vessel is stoppered. Swirl and add acid more slowly near the endpoint. Never stopper the conical flask during the carbonate-acid reaction. Set the flask down safely; rinse splashes promptly; report exposure and follow local procedures.
Liquid spills Slip, contamination or chemical contact. Keep benches clear, use small working quantities and clean or mark spills immediately. Follow the centre's chemical-spill and disposal procedure for the actual product involved.

Exam preparation and analytical thinking

Common exam questions and model answers

Question Model answer
Why weigh by difference? It gives the mass that actually left the weighing bottle and entered the beaker, provided none was spilled elsewhere.
Why rinse the beaker, rod and funnel into the flask? To transfer all dissolved solute quantitatively.
Why add the final water dropwise? To avoid passing the volumetric calibration mark.
Why invert the volumetric flask? To produce a homogeneous solution before an aliquot is removed.
Why remove the burette funnel? Drops from the funnel could enter after the initial reading and invalidate the measured titre.
Why is the final liquid in a transfer pipette not blown out? A transfer pipette is calibrated to deliver its stated volume while retaining that residual liquid.
Why may the conical flask be wet with distilled water? The extra water does not change the measured number of moles in the aliquot.
Why exclude the rough titre? It estimates the endpoint and was not obtained using the controlled dropwise approach used for repeat titres.
What are concordant titres? Repeat titres that agree within the stated criterion; in this guide the selected range is ≤0.10 cm3.
How can an equivalence volume be estimated instrumentally? Record a calibrated pH titration curve and locate the inflection or maximum-gradient region.

Examiner advice summary

  • State the exact reagent formula and show the target-mass calculation.
  • Describe quantitative transfer, including beaker, rod and funnel washings.
  • State that final water is added dropwise at eye level to the bottom of the meniscus.
  • State that the stoppered volumetric flask is inverted repeatedly.
  • Record burette readings to two decimal places using valid nearest-0.05 cm3 values.
  • Use a pipette filler and do not blow out the retained pipette liquid.
  • Exclude the rough titre and calculate the mean from the full selected concordant set.
  • Convert cm3 to dm3 before using n = cV.
  • Write the balanced equation and state the coefficient ratio explicitly.
  • Include units, working and appropriate significant figures.

Thinking like an analytical chemist

  • Check identity, formula, concentration and units before starting.
  • Record raw data immediately and never manufacture precision.
  • Use the correct rinse for each item of glassware.
  • Control the endpoint through consistent swirling and dropwise addition.
  • Use all justified concordant results, not only the most convenient pair.
  • Carry unrounded values through calculations and round the final result appropriately.
  • Treat uncertainty as part of the result, not an afterthought.
  • Distinguish repeatability from accuracy and random variation from systematic bias.

Key conclusion: a single titre cannot demonstrate repeatability. Concordant titres provide evidence of precision, although a systematic error may still affect them all.

Quick retrieval practice and FAQs

Why should the actual transferred sodium carbonate mass be used rather than the target mass?

The actual transferred mass gives the best estimate of the number of moles that entered the volumetric flask. The target mass is only a preparation aim.

Why are all the beaker, rod and funnel washings transferred?

They contain some of the dissolved solute. Transferring them ensures the transfer is quantitative.

Why does the burette funnel need to be removed before a reading?

Any drop entering from the funnel after the initial reading would add unrecorded titrant and invalidate the titre.

What do concordant titres demonstrate?

They provide evidence of precision and repeatability under the stated criterion, but they do not by themselves prove accuracy.

Why must cm3 be converted to dm3 before using n = cV?

Concentration is expressed in mol dm−3, so the volume must be in dm3 for the units to be consistent.

What is the Part C phenolphthalein endpoint?

The first permanent disappearance of the pale pink colour after swirling.

Why can highly concordant titres still be wrong?

A systematic bias - such as a wrongly prepared standard solution - can affect every repeat in the same direction while leaving the titres close to one another.

Why is a larger titre often preferable?

A fixed burette-reading uncertainty forms a smaller percentage of a larger titre. Where chemistry and safety permit, roughly 20-30 cm3 is often a useful design target.

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About this guide

This guide was written and reviewed by Better Equipped's technical team and further reviewed by former A Level Science Teachers. Our technical team draw on experience supplying practical science equipment to schools, colleges, laboratories and science departments throughout the UK. They include ex-school laboratory technicians and are here to support schools, colleges and laboratories right across the UK. If you have feedback on this guide, we'd love to hear it so please contact us. Don't forget we will be regularly updating our guides and resources on our Better-Resources Hub. If you would like us to cover a particular subject matter in these guides or have some top tips you'd like to share then again we'd love to hear from you.

Last reviewed and updated: August 2026

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