Chemistry 9701/38 — May/June 2025
Cambridge AS Level · Advanced Practical Skills · worked solutions for every part, with the mark scheme
Topics Manipulation, Measurement and Observation · Analysis, Conclusions and Evaluation · Presentation of Data and Observations · Qualitative Analysis
Iron is an element that is essential in the human diet. Some people need to take iron supplement tablets to ensure an adequate intake of iron.
You will investigate the mass of iron in an iron supplement tablet by titrating a solution with potassium manganate(VII).
FB 1 is an aqueous solution of iron supplement tablets made by dissolving 14 tablets in of solution. The iron in each tablet is iron(II) sulfate, .
FB 2 is acidified aqueous potassium manganate(VII), .
FB 3 is dilute sulfuric acid, .
Method
- Fill a burette with FB 2.
- Pipette of FB 1 into a conical flask.
- Use the measuring cylinder to add of FB 3 to the conical flask.
- Perform a rough titration and record your burette readings in the space below.
The rough titre is .............................. .
- Carry out as many accurate titrations as you think necessary to obtain consistent results.
- Make sure any recorded results show the precision of your practical work.
- Record, in a suitable form in the space below, all your burette readings and the volume of FB 2 added in each accurate titration.
Rinse the burette with distilled water and leave to drain while you continue Question 1.
Results
Answer
Record the rough titre, e.g. 18.90 cm3.
Results table (example):
| Rough | 1 | 2 | |
|---|---|---|---|
| initial burette reading / cm3 | 0.00 | 0.00 | 0.00 |
| final burette reading / cm3 | 18.90 | 18.80 | 18.80 |
| titre / cm3 | 18.90 | 18.80 | 18.80 |
All burette readings are recorded to the nearest 0.05 cm3. The accurate titres are concordant (within 0.10 cm3 of each other).
Candidate-dependent; see working (example mean titre 18.80 cm3)
Background Concept
In a redox titration, a solution of known concentration (the titrant) is added from a burette to a measured volume of analyte until reaction is complete. Here potassium manganate(VII), KMnO4, is the oxidising agent and iron(II) ions are the reducing agent. The end point is the first permanent pale pink colour caused by a tiny excess of MnO4-. Because the end point can be overshot, a rough titration is done first to find the approximate volume, then accurate titrations are repeated until concordant (within 0.10 cm3). Burette readings are made to the nearest 0.05 cm3 because the graduations are usually 0.1 cm3 apart and the half-division can be estimated.
Understanding the Question
This part asks you to carry out the titration and record the rough and accurate results in a suitable table. There are no single correct numbers because the readings depend on your practical work. The mark scheme rewards completeness of data, correct headings and units, readings to 0.05 cm3, and concordant accurate titres.
Approach
Fill the burette with FB 2. Pipette 25.0 cm3 of FB 1 into a conical flask and add 10.0 cm3 of FB 3. Run FB 2 in quickly for a rough titre, then do accurate titrations, adding the manganate(VII) dropwise near the end point until one drop gives a permanent pink colour. Record initial and final burette readings and the titre for each run.
Step-by-Step Reasoning
- The rough titre gives an approximate end point, e.g. 18.90 cm3. It is not used in the mean.
- Accurate titrations should agree with each other to within 0.10 cm3. If they do not, repeat.
- A suitable results table has columns for initial burette reading / cm3, final burette reading / cm3 and titre / cm3, with units stated in the headings.
- Example: accurate titres of 18.80 cm3 and 18.80 cm3 are concordant and would be used for the mean.
- All readings should be recorded to 0.05 cm3, e.g. 18.80 cm3, not 18.8 cm3 or 18.800 cm3.
Key Takeaways
Good titration technique involves a rough run, repeated accurate runs, concordant results, and precise recording. The mean is calculated only from accurate concordant titres.
Common Mistakes
- Forgetting to include units in table headings or with each reading.
- Recording burette readings to 0.01 cm3 rather than 0.05 cm3.
- Including the rough titre in the mean.
- Stopping after one accurate titration; the mark scheme requires at least two.
- Not checking that accurate titres are within 0.10 cm3 of each other.
Things to Be Careful About
- Read the burette at eye level to avoid parallax error.
- Ensure no air bubbles are trapped in the burette tip.
- The end point is the first permanent pink colour; if it fades, the end point has not been reached.
- The mark scheme allows readings to 0.05 cm3 and requires concordant accurate titres.
From your accurate titration results, calculate a suitable mean value to use in your calculations. Show clearly how you obtain the mean value.
of FB 1 required .............................. of FB 2.
Working
Using the two accurate titres 18.80 cm3 and 18.80 cm3:
Answer
25.0 cm3 of FB 1 required 18.80 cm3 of FB 2.
18.80 cm3
Background Concept
The mean titre is the average of two or more accurate titres that agree closely. In CIE practical papers, the selected titres must have a total spread of not more than 0.20 cm3. The mean is quoted to 2 decimal places, rounding to the nearest 0.01 cm3.
Understanding the Question
After recording accurate titrations in (a), you must choose the best two (or more) concordant results, show how you selected them, and calculate the mean. The mark scheme requires working or ticks next to the selected readings.
Approach
Look at the accurate titres, ignore the rough titre, and identify two or more that are within 0.20 cm3 of each other. Average them and round to 2 d.p.
Step-by-Step Reasoning
Suppose the accurate titres are 18.80 cm3 and 18.80 cm3. They are identical, so they are concordant. Mean = (18.80 + 18.80)/2 = 18.80 cm3. If the values were 26.67 and 26.68, the mean would be 26.675 cm3, which rounds to 26.68 cm3.
Key Takeaways
Concordance is judged by the spread of the selected titres, and the mean must be quoted to 2 d.p.
Common Mistakes
- Averaging the rough titre with accurate titres.
- Using values that are not concordant.
- Quoting the mean to 3 or 4 d.p. instead of 2.
- Not showing which readings were selected.
Things to Be Careful About
- The spread is the difference between the largest and smallest selected titres, not the difference from the mean.
- Rounding: 26.675 cm3 becomes 26.68 cm3.
Calculations
Give your answers to (c)(ii), (c)(iii) and (c)(iv) to an appropriate number of significant figures.
Answer
Final answers to (c)(ii), (c)(iii) and (c)(iv) are quoted to 3 significant figures.
3 significant figures
Background Concept
Significant figures indicate the precision of a measurement. In calculations, the final answer should not imply more precision than the data justify. The mark scheme for this question accepts 3 or 4 significant figures for the final answers in (c)(ii), (c)(iii) and (c)(iv).
Understanding the Question
This is an instruction, not a calculation. You must make sure the numerical answers you give in the next three parts are quoted to an appropriate number of significant figures.
Approach
Use 3 significant figures for all three final answers. This is consistent with the data (0.0100 mol dm-3 has 3 significant figures).
Step-by-Step Reasoning
For example, 1.88 × 10^-4 mol, 0.0376 mol dm-3 and 2.10 g dm-3 all have 3 significant figures. Avoid giving 0.0376000 mol dm-3 or 0.04 mol dm-3.
Key Takeaways
Always check the number of significant figures in the least precise given value and quote final answers to a similar number.
Common Mistakes
- Quoting too many significant figures, e.g. 0.0376000.
- Quoting too few, e.g. 0.04 instead of 0.0376.
- Inconsistent significant figures across related answers.
Things to Be Careful About
- The concentration of FB 2 is given as 0.0100 mol dm-3, which has 3 significant figures.
- The mean titre is quoted to 2 d.p., but that is a burette reading precision, not the number of significant figures for the final concentration.
Calculate the amount, in mol, of manganate(VII) ions in the volume of FB 2 in (b).
amount of = .............................. mol
Working
Using the mean titre 18.80 cm3:
Answer
amount of = 1.88 × 10^-4 mol
1.88 × 10^-4 mol
Background Concept
The amount of a solute in moles is given by amount = concentration × volume, where volume is in dm3. Since burette readings are in cm3, they must be converted by dividing by 1000.
Understanding the Question
You must calculate the moles of manganate(VII) ions in the mean volume of FB 2 found in (b). Use the concentration 0.0100 mol dm-3 and the mean titre, e.g. 18.80 cm3.
Approach
Convert the volume to dm3, then multiply by the concentration.
Step-by-Step Reasoning
Volume = 18.80 cm3 = 18.80/1000 = 0.0188 dm3. Amount = 0.0100 × 0.0188 = 1.88 × 10^-4 mol.
Key Takeaways
Always convert cm3 to dm3 before using concentration in mol dm-3.
Common Mistakes
- Using the volume in cm3 directly: 0.0100 × 18.80 = 0.188 mol, which is wrong.
- Quoting too many significant figures.
Things to Be Careful About
- The answer must be in mol, not mol dm-3.
- Use the mean titre, not the rough titre.
Use your answer to (c)(ii) and the equations at the start of the question to calculate the concentration, in , of iron(II) ions in FB 1.
concentration of = ..............................
Working
From the half-equations, 1 mol reacts with 5 mol .
This is in 25.0 cm3 = 0.0250 dm3.
Answer
concentration of = 0.0376 mol dm^-3
0.0376 mol dm^-3
Background Concept
The two half-equations show that one MnO4- ion accepts 5 electrons while each Fe2+ loses 1 electron. Therefore 1 mol MnO4- reacts with 5 mol Fe2+. This 5:1 ratio is essential for the calculation.
Understanding the Question
You now know the moles of MnO4- used. Use the stoichiometric ratio to find the moles of Fe2+ in the 25.0 cm3 sample of FB 1, then divide by the volume in dm3 to get concentration.
Approach
Multiply moles of MnO4- by 5 to get moles of Fe2+. Then divide by 0.0250 dm3.
Step-by-Step Reasoning
Moles Fe2+ = 5 × 1.88 × 10^-4 = 9.40 × 10^-4 mol. Volume = 25.0 cm3 = 0.0250 dm3. Concentration = 9.40 × 10^-4 / 0.0250 = 0.0376 mol dm-3.
Key Takeaways
The stoichiometric ratio from the half-equations is the bridge between the titrant and the analyte.
Common Mistakes
- Using a 1:1 ratio instead of 5:1.
- Forgetting to convert 25.0 cm3 to dm3.
- Using the total volume of the conical flask contents instead of the volume of FB 1.
Things to Be Careful About
- The 25.0 cm3 is the volume of FB 1 pipetted, not the volume after adding FB 3.
- The concentration is of Fe2+ ions, not of FeSO4·7H2O formula units.
Use your answer to (c)(iii) to calculate the concentration, in , of iron(II) ions in FB 1.
concentration of = ..............................
Working
Answer
concentration of = 2.10 g dm^-3
2.10 g dm^-3
Background Concept
Concentration in g dm-3 is obtained by multiplying concentration in mol dm-3 by the molar mass (in g mol-1). For Fe2+, use the atomic mass of iron, 55.8 g mol-1.
Understanding the Question
Convert the molar concentration of Fe2+ from (c)(iii) into a mass concentration.
Approach
Multiply 0.0376 mol dm-3 by 55.8 g mol-1.
Step-by-Step Reasoning
0.0376 × 55.8 = 2.10 g dm-3.
Key Takeaways
Mass concentration = molar concentration × molar mass.
Common Mistakes
- Using the molar mass of FeSO4·7H2O (278.0) instead of Fe (55.8).
- Forgetting units: g dm-3, not mol dm-3.
Things to Be Careful About
- The question asks for iron(II) ions, so use the atomic mass of Fe.
- Keep 3 significant figures.
The manufacturer of the iron supplement tablets used to make FB 1 claims that each tablet contains a minimum of of .
Use your answer to (c)(iv) and the information given about FB 1 to determine whether this claim is correct. Show your working.
Working
FB 1 is made by dissolving 14 tablets in 1.00 dm3.
Mass of in 1.00 dm3 = 2.10 g = 2100 mg.
Mass per tablet = 2100 / 14 = 150 mg.
150 mg is equal to the claimed minimum of 150 mg, so the claim is correct.
Answer
Correct: each tablet contains 150 mg .
Correct: 150 mg per tablet
Background Concept
FB 1 was made by dissolving 14 tablets in 1.00 dm3 of solution. Therefore the mass of Fe2+ in 1.00 dm3 is the total mass from 14 tablets. Dividing by 14 gives the mass per tablet.
Understanding the Question
Compare the calculated mass per tablet with the manufacturer's claim of a minimum of 150 mg Fe2+ per tablet.
Approach
Convert the concentration from (c)(iv) to mg dm-3, multiply by 1.00 dm3, divide by 14, and compare with 150 mg.
Step-by-Step Reasoning
2.10 g dm-3 = 2100 mg dm-3. In 1.00 dm3 there is 2100 mg Fe2+. Mass per tablet = 2100 / 14 = 150 mg. Since 150 mg is equal to the claimed minimum, the claim is correct.
Key Takeaways
Scaling a solution concentration back to a single tablet requires using the number of tablets and the total volume.
Common Mistakes
- Forgetting to divide by 14.
- Not converting g to mg before comparing with 150 mg.
- Concluding 'incorrect' if the calculated value is slightly different due to rounding; here it is exactly 150 mg.
Things to Be Careful About
- Use the exact calculated value from (c)(iv) before rounding if possible.
- The claim is a minimum, so any value ≥ 150 mg supports it.
A student used all the FB 3 and suggests that dilute hydrochloric acid would be a suitable replacement.
Suggest whether the student is correct or not. Explain your answer.
Answer
No. Chloride ions from hydrochloric acid would be oxidised by manganate(VII) to chlorine, so extra would be consumed and the titre would be inaccurate. Sulfuric acid is used because sulfate ions are not oxidised.
No; chloride ions are oxidised by MnO4-
Background Concept
In the manganate(VII) titration, acid is needed because the reduction half-equation consumes H+ ions:
Sulfuric acid is chosen because sulfate ions are not oxidised by manganate(VII). Hydrochloric acid would introduce chloride ions, which can be oxidised by MnO4- to chlorine:
This would consume extra manganate(VII), making the titre larger than it should be.
Understanding the Question
The student wants to replace dilute sulfuric acid with dilute hydrochloric acid. You must decide whether this is suitable and explain why.
Approach
Consider whether the anion in the acid could interfere with the redox reaction. Chloride is a reducing agent that can be oxidised by MnO4-, so it is unsuitable.
Step-by-Step Reasoning
- MnO4- is a strong oxidising agent.
- Cl- can be oxidised to Cl2 by MnO4-, so some of the manganate(VII) would react with the acid rather than with Fe2+.
- This would give an incorrectly high titre and a falsely high calculated iron concentration.
- Sulfate, SO4^2-, is not oxidised under these conditions, so H2SO4 is the correct acid.
- The mark scheme also accepts the argument that HCl is monoprotic and may not supply enough H+, or even that HCl is a strong acid and could work, but the chloride oxidation is the most chemically important objection.
Key Takeaways
In redox titrations, the acid must provide H+ without being oxidised itself. Sulfuric acid is the usual choice.
Common Mistakes
- Saying HCl is suitable because it is a strong acid, without considering chloride oxidation.
- Saying H2SO4 is a weak acid (it is strong for its first ionisation).
- Forgetting to mention that extra MnO4- would be consumed, affecting the titre.
Things to Be Careful About
- The mark scheme allows more than one valid explanation, but the clearest is the oxidation of chloride ions.
- Do not write a vague answer such as 'HCl would react with KMnO4'; specify that chloride is oxidised to chlorine.
The reaction between an acid and an alkali is exothermic. You will carry out a neutralisation experiment to determine the enthalpy change involved.
You will mix different volumes of an acid with a fixed volume of an alkali and measure the temperature rises that occur.
FB 4 is aqueous sodium hydroxide, .
FB 5 is hydrochloric acid, .
Method
- Use the thermometer to measure the initial temperature of FB 4. Record this initial temperature in the space for results.
- Support the cup in the beaker.
- Fill one burette with FB 5. Label the burette FB 5.
- Fill the other burette with distilled water.
Experiment 1
- Use the pipette to transfer of FB 4 into the cup.
- Add of distilled water from the burette to the same cup.
- Add of FB 5 from the other burette to the same cup.
- Stir the mixture and use the thermometer to measure the maximum temperature. If necessary, tilt the cup so that the solution covers the bulb of the thermometer.
- Record the maximum temperature in Table 2.1.
- Empty, rinse and dry the cup ready for use in further experiments.
Further experiments
Repeat this method for Experiments 2–5, using of FB 4 and the volumes of water and FB 5 shown in Table 2.1. In each case, measure and record the maximum temperature.
Carry out two further experiments, Experiments 6 and 7, which will enable you to determine more precisely the volume of FB 5 that gives the largest maximum temperature. Record your measurements in Table 2.1.
Results
initial temperature of FB 4 = .............................. °C
Table 2.1
| experiment | volume of water / | volume of FB 5 / | maximum temperature / °C |
|---|---|---|---|
| 1 | 9.00 | 1.00 | |
| 2 | 7.00 | 3.00 | |
| 3 | 5.00 | 5.00 | |
| 4 | 3.00 | 7.00 | |
| 5 | 1.00 | 9.00 | |
| 6 | |||
| 7 |
Answer
Initial temperature of FB 4 = 20.0 °C
Table 2.1
| experiment | volume of water / cm³ | volume of FB 5 / cm³ | maximum temperature / °C |
|---|---|---|---|
| 1 | 9.00 | 1.00 | 21.2 |
| 2 | 7.00 | 3.00 | 23.5 |
| 3 | 5.00 | 5.00 | 26.5 |
| 4 | 3.00 | 7.00 | 25.0 |
| 5 | 1.00 | 9.00 | 23.8 |
| 6 | 4.00 | 6.00 | 26.0 |
| 7 | 6.00 | 4.00 | 24.8 |
Note: The maximum temperatures and the volumes for experiments 6 and 7 are representative examples. In the actual examination, you must record your own measured values. All thermometer readings must be recorded to 1 decimal place ending in .0 or .5. The volumes for experiments 6 and 7 must sum to 10.00 cm³ and be recorded to 2 decimal places.
See working / candidate-dependent
Background Concept
In a neutralisation experiment, an acid and an alkali react to form a salt and water. The reaction is exothermic, meaning it releases heat, which causes the temperature of the mixture to rise. To determine the enthalpy change of neutralisation, we must measure the maximum temperature rise () that occurs when a specific amount of acid and alkali react. By varying the ratio of acid to water while keeping the total volume and the amount of alkali constant, we can identify the stoichiometric point (the intersection of two lines on a graph) where the maximum temperature is achieved. This corresponds to the exact volume of acid required to neutralise the fixed volume of alkali.
Understanding the Question
This part of the question asks you to record your experimental data correctly. You are given a fixed volume of sodium hydroxide (FB 4) and a known concentration of hydrochloric acid (FB 5, 2.00 mol dm⁻³). You must:
- Record the initial temperature of the alkali.
- Record the maximum temperatures for experiments 1–5 from the provided table.
- Design and record two additional experiments (6 and 7) with volumes of water and FB 5 that sum to 10.00 cm³ to refine the location of the maximum temperature.
The mark scheme rewards precision: thermometer readings must end in .0 or .5, and volumes must be recorded to 2 decimal places.
Approach
- Record the initial temperature of FB 4 to 1 d.p. (ending in .0 or .5).
- Record the maximum temperatures for experiments 1–5 as measured.
- Choose volumes for experiments 6 and 7 that bracket the expected maximum (likely around 5.00 cm³ of FB 5 based on experiments 3 and 4). Ensure the sum of water and FB 5 volumes is exactly 10.00 cm³ for each.
- Record all volumes to 2 d.p. (ending in .00 or .50).
Step-by-Step Reasoning
- Initial temperature: Read the thermometer and record, e.g., 20.0 °C.
- Experiments 1–5: Fill in the maximum temperatures measured. For example, 1.00 cm³ of acid gives a small rise (21.2 °C), 5.00 cm³ gives a larger rise (26.5 °C), and 9.00 cm³ gives a smaller rise again (23.8 °C) due to excess unreacted acid absorbing the heat.
- Experiments 6 and 7: To pinpoint the maximum, choose volumes closer to the peak. If 5.00 cm³ gave 26.5 °C and 7.00 cm³ gave 25.0 °C, the peak is likely between 5 and 7 cm³. Choose 6.00 cm³ (with 4.00 cm³ water) and 4.00 cm³ (with 6.00 cm³ water). Record the new maximum temperatures.
- Precision check: Ensure all temperatures are to 1 d.p. and all volumes for exp 6 and 7 are to 2 d.p.
Key Takeaways
- Always record thermometer readings to the precision of the instrument (usually 1 d.p. for a standard thermometer), ending in .0 or .5.
- When designing additional experiments to refine a maximum, choose independent variable values that bracket the expected peak and keep all other conditions (total volume, amount of alkali) constant.
- The sum of the volumes of water and acid must remain constant (10.00 cm³) to ensure the total heat capacity of the solution is roughly constant.
Common Mistakes
- Recording temperatures to 0 d.p. or 2 d.p. (must be 1 d.p. ending in .0 or .5).
- Forgetting to record the initial temperature of FB 4.
- Choosing volumes for experiments 6 and 7 that do not sum to 10.00 cm³.
- Recording volumes to 1 d.p. instead of 2 d.p. for the additional experiments.
Things to Be Careful About
- The mark scheme explicitly requires thermometer readings to end in .0 or .5. If your thermometer has 0.1 °C graduations, you must estimate to the nearest 0.5 °C.
- Volumes for experiments 6 and 7 must be recorded to 2 d.p. (e.g., 4.00, not 4.0).
- The total volume for each experiment (water + FB 5) must be exactly 10.00 cm³ to keep the mass of the solution constant.
Plot a graph of the maximum temperature (-axis) against the volume of FB 5 (-axis) on the grid. The scale on the -axis should be suitable for temperature readings to be above the largest maximum temperature.
Label any points you consider to be anomalous.
Draw two lines of best fit, the first for the increase in maximum temperature and the second for after the largest maximum temperature has been reached. Extrapolate both lines so that they intersect.
Answer
The graph shows maximum temperature on the y-axis (e.g., 20 to 28 °C) against volume of FB 5 on the x-axis (0 to 10 cm³). Points are plotted accurately. Two straight lines of best fit are drawn: one rising through the initial points (ignoring any anomalous point) and one falling through the later points. Both lines are extrapolated to intersect at the volume of FB 5 that gives the maximum temperature.
See diagram
Background Concept
Plotting a graph of temperature change against the volume of reactant added is a standard technique in calorimetry to determine the stoichiometric ratio. As the volume of acid increases, more heat is released, and the temperature rises. Once the alkali is completely neutralised, any additional acid adds no more heat but increases the total mass of the solution, which absorbs the heat and lowers the maximum temperature. The graph therefore has a peak. Because experimental data is noisy, we draw two lines of best fit: one for the rising portion (limiting alkali) and one for the falling portion (excess acid). The intersection of these two lines gives the theoretical maximum temperature and the exact volume of acid required for neutralisation.
Understanding the Question
You are asked to plot the data from Table 2.1 on the provided grid. The x-axis is the volume of FB 5 (hydrochloric acid), and the y-axis is the maximum temperature. You must:
- Choose suitable scales for both axes.
- Plot all points accurately.
- Identify and label any anomalous points.
- Draw two lines of best fit (straight lines are acceptable and often preferred for this type of graph) that account for all non-anomalous points.
- Extrapolate both lines so they intersect.
Approach
- Axes: x-axis = volume of FB 5 / cm³ (0 to 10), y-axis = maximum temperature / °C (start at initial temp, go up to at least max temp + 2 °C).
- Plotting: Place each (volume, temperature) pair accurately on the grid.
- Anomalous points: If a point is far from the expected trend (e.g., a point that is much lower than the line), label it as anomalous and do not include it in the line of best fit.
- Lines of best fit: Draw a straight line through the rising points (exp 1 to 3/4) and another through the falling points (exp 4 to 5/6/7). Extend both lines until they cross.
Step-by-Step Reasoning
- Scale selection: If temperatures range from 20.0 to 26.5 °C, the y-axis could go from 19.0 to 28.0 °C (giving 2 °C above the max). The x-axis goes from 0.00 to 10.00 cm³.
- Plotting: For example, (1.00, 21.2), (3.00, 23.5), (5.00, 26.5), (7.00, 25.0), (9.00, 23.8).
- Identifying anomalies: Suppose the point (3.00, 23.5) is slightly off the line. Label it 'anomalous'.
- Drawing lines: Draw a line from (0, 20.0) through (1, 21.2) and (5, 26.5). Draw another line from (5, 26.5) through (7, 25.0) and (9, 23.8). Extend both lines to intersect at approximately x = 5.00 cm³, y = 26.5 °C.
Key Takeaways
- The y-axis must have a suitable scale, extending at least 2 °C above the highest maximum temperature.
- Two lines of best fit are required: one for the increase and one for the decrease. They should be straight lines (or smooth curves, but straight lines are standard here).
- Anomalous points must be labelled and excluded from the lines of best fit.
- The intersection gives the volume of acid for complete neutralisation.
Common Mistakes
- Using a non-linear scale or an axis that doesn't start at zero (for the x-axis) or doesn't cover the data range.
- Drawing a single smooth curve through all points instead of two distinct lines of best fit.
- Forgetting to extrapolate the lines so they actually intersect.
- Not labelling axes with quantities and units.
Things to Be Careful About
- The mark scheme requires unambiguous labelled axes with units or correct units. Write 'maximum temperature / °C' and 'volume of FB 5 / cm³'.
- Points must be plotted accurately; even a small plotting error can shift the intersection and cost marks in part (b)(ii).
- Lines of best fit must account for all plotted points ignoring any points labelled anomalous. Do not force a line through an anomalous point.
- Extrapolation must be clearly shown; do not just draw the lines up to the data points.
Use the intersection on your graph in (b)(i) to determine the volume of FB 5 required to neutralise of FB 4.
volume of FB 5 = ..............................
Answer
volume of FB 5 = 5.00 cm³
(Read the x-coordinate of the intersection point from the graph in part (b)(i). In this example, the lines intersect at 5.00 cm³.)
5.00
Background Concept
The intersection of the two lines of best fit on a temperature vs. volume graph represents the theoretical point of complete neutralisation. At this point, the acid and alkali are in exact stoichiometric proportions, releasing the maximum possible heat. The x-coordinate of this intersection gives the volume of the titrant (FB 5) required to neutralise the fixed volume of the analyte (FB 4).
Understanding the Question
You must read the volume of FB 5 at the intersection point of the two lines drawn in part (b)(i). This value is used in subsequent calculations to determine the moles of acid and alkali.
Approach
- Locate the intersection of the two extrapolated lines on the graph.
- Draw a vertical line down to the x-axis.
- Read the value and record it to the appropriate number of decimal places (usually 2 d.p. for burette/pipette volumes, so 5.00 cm³).
Step-by-Step Reasoning
- In the example graph, the lines intersect at x = 5.00 cm³.
- Record this value as the volume of FB 5 required to neutralise 10.0 cm³ of FB 4.
Key Takeaways
- The intersection point gives the stoichiometric volume. Always read this value carefully from the graph.
- Ensure you read the correct axis (x-axis for volume).
Common Mistakes
- Reading the y-value (temperature) instead of the x-value (volume).
- Not reading to the correct precision (e.g., 5 cm³ instead of 5.00 cm³).
- Using a value from a single data point instead of the intersection.
Things to Be Careful About
- The mark scheme awards the mark for a correctly read volume. If your graph is poor, your reading will be wrong, and you may lose marks in later calculation parts (though ecf is often allowed if you state your assumption clearly, the mark scheme here uses the value from (b)(ii) directly).
- Use the value you read from your own graph, even if it differs from the 'true' value, as error carried forward may apply in later parts (check the specific paper guidance, but here the mark scheme uses 'volume from (b)(ii)').
Calculations
Calculate the amount, in mol, of hydrochloric acid in the volume of FB 5 in (b)(ii).
(If you were unable to determine an answer to (b)(ii), use as the volume of FB 5. This may not be the correct answer.)
amount of = .............................. mol
Deduce the amount, in mol, of sodium hydroxide in of FB 4.
amount of = .............................. mol
Working
Amount of HCl:
Amount of NaOH:
The reaction is . The stoichiometric ratio is 1:1.
Answer
amount of HCl = 0.0100 mol
amount of NaOH = 0.0100 mol
(Note: Use the volume you read from your graph in (b)(ii). If you used a different volume, recalculate accordingly.)
0.0100
Background Concept
The amount of substance (in moles) is calculated using the formula , where is concentration in mol dm⁻³ and is volume in dm³. Since volume is usually given in cm³, we divide by 1000. In a neutralisation reaction between a strong acid (HCl) and a strong alkali (NaOH), the equation is . The mole ratio is 1:1, meaning 1 mole of HCl reacts with exactly 1 mole of NaOH.
Understanding the Question
You are asked to calculate the moles of HCl in the volume determined in part (b)(ii), and then deduce the moles of NaOH in 10.0 cm³ of FB 4. The mark scheme allows the use of 5.10 cm³ if you couldn't answer (b)(ii), but you should use your own graph value.
Approach
- Convert the volume of FB 5 from cm³ to dm³ by dividing by 1000.
- Multiply by the concentration of FB 5 (2.00 mol dm⁻³) to get moles of HCl.
- Use the 1:1 stoichiometry to state that moles of NaOH = moles of HCl.
- Ensure answers are given to 2–4 significant figures.
Step-by-Step Reasoning
- Volume of FB 5 = 5.00 cm³ (from your graph).
- Moles of HCl = mol.
- Since the ratio is 1:1, moles of NaOH = 0.0100 mol.
- Both values are given to 3 significant figures, which satisfies the 2–4 sf requirement.
Key Takeaways
- Always convert volume to dm³ before using .
- Strong acid-strong base neutralisation is always 1:1 for monoprotic acids and monobasic alkalis.
- Pay attention to significant figures; the concentration (2.00) has 3 sf, so the answer should have at least 3 sf.
Common Mistakes
- Forgetting to divide the volume by 1000 (calculating moles as mol).
- Using the wrong volume (e.g., using 10.0 cm³ instead of the intersection volume).
- Not stating the 1:1 ratio explicitly, though the mark scheme just requires the correct final value for NaOH.
Things to Be Careful About
- The mark scheme requires both answers to 2–4 sf. 0.0100 is 3 sf. Writing 0.01 might be marked as 1 sf and could lose a mark if the examiner is strict, though often 2 sf (0.010) is accepted. Better to write 0.0100.
- If you used the alternative volume 5.10 cm³, moles HCl = mol. Use your own value consistently.
Calculate the energy change, in J, when the amounts of reagents in (c)(i) neutralise each other. Show your working.
energy change = .............................. J
Working
The total volume of the solution is .
Assume the density of the solution is , so mass .
Assume the specific heat capacity .
(or K)
Answer
energy change = 543 J
(Use your own from the experiment. The formula is Energy = .)
543
Background Concept
The energy change (heat released) in a solution is calculated using the equation , where:
- is the mass of the solution in grams.
- is the specific heat capacity of the solution, typically assumed to be that of water ().
- is the temperature change in °C or K.
For dilute aqueous solutions, we assume the density is , so the mass in grams is equal to the volume in cm³. The total volume here is , so .
Understanding the Question
You must calculate the energy released when the amounts of HCl and NaOH calculated in (c)(i) neutralise each other. This is the energy corresponding to the maximum temperature rise in the experiment where complete neutralisation occurred (at the intersection point).
Approach
- Calculate the total volume of the solution: .
- Assume mass and .
- Calculate .
- Calculate .
- Round to 2–4 significant figures.
Step-by-Step Reasoning
- Total volume = 20.0 cm³, so mass = 20.0 g.
- °C.
- Energy = J.
- Round to 3 sf: 543 J.
Key Takeaways
- The mass is the total mass of the mixed solution, not just the acid or alkali.
- The specific heat capacity is not given in the question; you must assume (value for water).
- is the difference between the maximum temperature and the initial temperature of the alkali (FB 4). Do not use the initial temperature of the acid if it differs (though in this experiment, both are assumed to be at room temperature, so is the same).
Common Mistakes
- Using the wrong mass (e.g., using 10.0 g instead of 20.0 g).
- Forgetting to use and just using the maximum temperature.
- Not showing working; the mark scheme requires the formula and substitution.
Things to Be Careful About
- The mark scheme explicitly states: Energy = . You must use 20 for the mass.
- must be calculated as max T - initial T of FB 4. If your initial temp was 20.0 and max was 26.5, .
- The answer must be in Joules (J), not kJ. The next part will convert it.
Use your answer to (c)(ii) to calculate the enthalpy change, in , when one mole of FB 4 is neutralised by one mole of FB 5.
enthalpy change =
Working
Answer
enthalpy change = -54.3 kJ mol⁻¹
(Sign: negative; Value: 54.3. Use your calculated values from (c)(ii) and (c)(i).)
-54.3
Background Concept
The enthalpy change of neutralisation () is the energy released when one mole of water is formed from the reaction of an acid and an alkali. It is calculated by dividing the total energy change (in kJ) by the number of moles of water formed (which equals the moles of acid or alkali reacted, since the ratio is 1:1).
The negative sign is used because neutralisation is an exothermic reaction (heat is released to the surroundings, so the system loses energy).
Understanding the Question
You must calculate the enthalpy change in kJ mol⁻¹ when one mole of FB 4 is neutralised by one mole of FB 5. This is the standard enthalpy change of neutralisation for a strong acid and strong alkali.
Approach
- Convert the energy change from (c)(ii) from Joules to kilojoules by dividing by 1000.
- Divide by the number of moles of NaOH (or HCl) from (c)(i).
- Apply a negative sign because the reaction is exothermic.
- Round to at least 2 significant figures.
Step-by-Step Reasoning
- Energy change = 543.4 J = 0.5434 kJ.
- Moles = 0.0100 mol.
- .
- Round to 3 sf: -54.3 kJ mol⁻¹.
- The mark scheme requires the sign and the value. The value is typically around -57.1 kJ mol⁻¹ for strong acid/strong base; experimental values are lower due to heat loss.
Key Takeaways
- Always convert J to kJ before calculating enthalpy change in kJ mol⁻¹.
- The sign MUST be negative for exothermic reactions. Forgetting the sign costs a mark.
- The value should be around -57 kJ mol⁻¹; if you get a positive value or a value > -60, check your working.
Common Mistakes
- Forgetting the negative sign.
- Forgetting to divide the energy by 1000 to convert J to kJ (getting -5434 kJ mol⁻¹).
- Dividing by the wrong number of moles (e.g., using 10.0 instead of 0.0100).
- Not rounding to at least 2 sf.
Things to Be Careful About
- The mark scheme explicitly asks for the sign and the value: 'enthalpy change = (sign) (value) kJ mol⁻¹'. Write '-54.3'.
- Ensure you use the moles from (c)(i), not the concentration or volume.
- Experimental enthalpy changes of neutralisation are typically less exothermic than the theoretical -57.1 kJ mol⁻¹ due to heat loss to the surroundings, heat absorbed by the cup, and incomplete mixing. A value of -50 to -55 kJ mol⁻¹ is common and acceptable.
Qualitative analysis
For each test you should record all your observations in the spaces provided.
Examples of observations include:
- colour changes seen
- the formation of any precipitate and its solubility (where appropriate) in an excess of the reagent added
- the formation of any gas and its identification (where appropriate) by a suitable test.
You should record clearly at what stage in a test an observation is made.
Where no change is observed, you should write 'no change'.
Where reagents are selected for use in a test, the name or correct formula of the element or compound must be given.
If any solution is warmed, a boiling tube must be used. If a solid is heated, a hard-glass test-tube must be used.
Rinse and reuse test-tubes and boiling tubes where possible.
No additional tests should be attempted.
FB 6, FB 7 and FB 8 are aqueous solutions of different compounds that each contain at least one oxygen atom.
Carry out the following tests and record your observations in Table 3.1. Three of the tests have been done for you. Use a depth of solution in a test-tube for each test.
Table 3.1
| test | observations: FB 6 | observations: FB 7 | observations: FB 8 |
|---|---|---|---|
| Test 1 Add a small spatula measure of manganese(IV) oxide. | No change. | No change. | |
| Test 2 Add a length of magnesium. | No change. | ||
| Test 3 Add a few drops of aqueous iron(II) sulfate. |
Answer
| test | observations: FB 6 () | observations: FB 7 () | observations: FB 8 () |
|---|---|---|---|
| Test 1 — add | No change | No change | Fizzing; heat released; gas relights a glowing splint (oxygen) |
| Test 2 — add Mg | Fizzing; heat released; gas gives a pop with a lit splint (hydrogen) | No change | No change |
| Test 3 — add | No change | Green precipitate; turns brown on standing | Solution turns yellow/orange-brown; fizzing; gas relights a glowing splint |
See working — completed observation table for FB 6, FB 7 and FB 8
Background Concept
Qualitative analysis identifies substances by observing how they react with selected reagents. A key skill is linking an observation to a specific chemical reaction. Here three aqueous unknowns are tested with three reagents: manganese(IV) oxide (a catalyst for the decomposition of hydrogen peroxide), magnesium metal (a reducing metal that reacts with acids), and iron(II) sulfate (a source of ions).
Understanding the Question
You are given three aqueous solutions FB 6, FB 7 and FB 8, each containing at least one oxygen atom. You must carry out three tests on each and record observations. The mark scheme rewards specific observations: effervescence, gas identification, colour changes, and precipitate formation.
Approach
Think about what each reagent does:
- catalyses the decomposition of hydrogen peroxide: . Only gives a gas.
- Mg reacts with acids: . Only an acid gives a gas.
- : with alkali (NaOH) gives green precipitate which turns brown on oxidation; with , is oxidised to giving a yellow/brown solution.
Step-by-Step Reasoning
FB 6 = (ethanoic acid):
- Test 1 (): no change — no present to decompose.
- Test 2 (Mg): fizzing — acid reacts with Mg: . The gas gives a pop with a lit splint (). Heat is released (exothermic).
- Test 3 (): no change — does not react with to give a visible change.
FB 7 = :
- Test 1 (): no change.
- Test 2 (Mg): no change — no acid present.
- Test 3 (): green precipitate of forms: . On standing, air oxidises to , which is brown.
FB 8 = :
- Test 1 (): catalyses decomposition: . Fizzing; the gas relights a glowing splint (oxygen).
- Test 2 (Mg): no change — is not acidic enough to react with Mg.
- Test 3 (): oxidises to : . The solution turns yellow/orange-brown (). also decomposes, giving fizzing and oxygen that relights a glowing splint.
Key Takeaways
- Link each observation to a specific reaction.
- Gas tests: relights a glowing splint; gives a pop with a lit splint; turns limewater milky.
- is green and turns brown on oxidation to .
- solutions are yellow/brown.
Common Mistakes
- Writing "gas produced" without identifying it — the mark requires the gas test.
- Not recording "no change" — this is a valid and credited observation.
- Confusing the green precipitate with a brown one; the colour change on standing is a separate mark.
- Forgetting the heat released observation where the mark scheme awards it.
Things to Be Careful About
- Record at what stage an observation is made (e.g. "on warming", "on standing").
- Use the correct formula or name of reagents.
- If a solid is heated use a hard-glass tube; if a solution is warmed use a boiling tube.
- The mark scheme rounds down: 2 asterisks = 1 mark, so partial observations still score.
Use your observations in Table 3.1 to suggest a possible formula for each of FB 6, FB 7 and FB 8.
FB 6 .............................
FB 7 .............................
FB 8 .............................
Answer
FB 6: (ethanoic acid)
FB 7: (sodium hydroxide)
FB 8: (hydrogen peroxide)
FB 6 = CH3COOH; FB 7 = NaOH; FB 8 = H2O2
Background Concept
The observations in (a)(i) are the evidence. Each observation is characteristic of a functional group or compound type: an acid reacts with Mg to give ; an alkali gives a green precipitate with that turns brown; decomposes catalytically to and oxidises to .
Understanding the Question
You must suggest a possible formula for each of FB 6, FB 7 and FB 8 based on your observations. The mark scheme accepts (or any acid containing oxygen), (or any Group 1 hydroxide), and .
Approach
Match the observations to the chemistry:
- Fizzes with Mg, gas → acid. Contains O → .
- Green precipitate with → alkali (). Contains O → .
- Decomposes with giving , oxidises → .
Step-by-Step Reasoning
FB 6: only the Mg test gave a gas (). This identifies an acid. Since it must contain oxygen, (ethanoic acid) is a valid formula. Any acid containing O would score.
FB 7: only the test gave a green precipitate turning brown. This is , requiring ions. (or any Group 1 hydroxide) is the answer.
FB 8: only the test gave oxygen (relights glowing splint), and turned yellow-brown ( formed). Both point to , which decomposes catalytically and is an oxidising agent.
Key Takeaways
- Observations are evidence for functional groups.
- A single distinctive test can identify a compound.
Common Mistakes
- Writing "" instead of — water does not decompose with .
- Giving a formula that does not contain oxygen, contradicting the stem.
Things to Be Careful About
- The stem states each compound contains at least one oxygen atom — your formula must satisfy this.
- The mark scheme allows any acid containing O and any Group 1 hydroxide.
FB 9 contains two anions and two cations, three of which are listed in the Qualitative analysis notes.
To a small spatula measure of FB 9 in a test-tube, add a depth of dilute nitric acid. Record your observations.
Keep the resulting solution for the test in (b)(ii).
Answer
- Fizzing / effervescence
- Colourless solution forms
- Gas produced turns limewater milky (white precipitate) —
CO2 gas evolved — fizzing; gas turns limewater milky
Background Concept
Carbonates react with acids to give : . is confirmed by bubbling it through limewater (), which turns milky due to precipitate.
Understanding the Question
FB 9 contains two anions and two cations. Adding dilute nitric acid to the solid tests for carbonate (or other acid-reactive anions). You record observations and keep the solution for (b)(ii).
Approach
Add dilute nitric acid to the solid. If carbonate is present, effervescence occurs. Test the gas with limewater to confirm .
Step-by-Step Reasoning
- Fizzing on adding : carbonate present, released.
- Colourless solution: the solid dissolves.
- Limewater test: gas bubbled through limewater gives white precipitate (), confirming .
Note: nitric acid is used rather than HCl or because it does not interfere with later halide tests (no or introduced).
Key Takeaways
- Carbonate test: acid + limewater.
- Nitric acid is the acid of choice before silver nitrate tests.
Common Mistakes
- Using HCl — introduces which would interfere with the silver nitrate test in (b)(ii).
- Not testing the gas with limewater.
Things to Be Careful About
- Record the limewater result as "milky" or "white precipitate".
- Keep the solution for the next test.
To the solution from (b)(i), add a few drops of aqueous silver nitrate. Then add excess aqueous ammonia. Record your observations.
Answer
- Cream / off-white precipitate forms
- Precipitate is insoluble / only partially soluble in excess aqueous ammonia
Cream precipitate of AgBr, insoluble in excess aqueous ammonia
Background Concept
Silver nitrate + halide → silver halide precipitate. is white and soluble in dilute ammonia; is cream and soluble in concentrated ammonia; is yellow and insoluble in ammonia. The colour and ammonia solubility identify the halide.
Understanding the Question
To the solution from (b)(i) (which contains the anions), add then excess . The observation identifies the halide present.
Approach
Add : a precipitate forms. Its colour (cream) suggests . Test solubility in ammonia to confirm.
Step-by-Step Reasoning
- : cream precipitate.
- is only partially soluble / insoluble in aqueous ammonia (unlike which dissolves in dilute ).
Since the precipitate is cream and insoluble in ammonia, the halide is bromide.
Key Takeaways
- white (soluble in dilute ); cream (soluble in concentrated ); yellow (insoluble).
- Ammonia solubility distinguishes halides.
Common Mistakes
- Writing "white precipitate" — that would suggest chloride.
- Saying the precipitate dissolves in ammonia — that would suggest chloride.
Things to Be Careful About
- Use "cream" not "white".
- The solution from (b)(i) is acidic — this is fine for the silver nitrate test.
Make an aqueous solution of FB 9 by adding a depth of distilled water to a spatula measure of FB 9 in a test-tube. Carry out the following tests on the aqueous solution of FB 9 and record your observations in Table 3.2.
Table 3.2
| test | observations |
|---|---|
| Test 1 To a depth in a boiling tube, add aqueous sodium hydroxide, then warm. | |
| Test 2 To a depth in a test-tube, add a few drops of dilute hydrochloric acid, then add a few drops of aqueous chlorine. Empty and rinse the test-tube with water immediately after use. |
Answer
Test 1 (NaOH, then warm): No change / no precipitate; on warming, gas / fizzing; gas turns damp red litmus blue (ammonia)
Test 2 (dilute HCl, then chlorine water): Solution turns brown / yellow (bromine formed)
Test 1: NH3 evolved (turns red litmus blue); Test 2: brown/yellow solution (Br2 formed)
Background Concept
- Ammonium salts + NaOH on warming → gas: . is alkaline, turning damp red litmus blue.
- Halide + chlorine water: displaces the halide: . in solution is brown/orange.
Understanding the Question
Two tests on the aqueous solution of FB 9: (1) NaOH + warm → tests for ; (2) HCl + chlorine water → tests for halide ( gives brown ).
Approach
- NaOH + heat: if present, evolved.
- Chlorine water: if present, formed → brown/yellow solution.
Step-by-Step Reasoning
Test 1: No precipitate with NaOH (no metal cation that precipitates), but on warming is evolved — confirms .
Test 2: HCl acidifies; chlorine water oxidises to . The brown/yellow colour confirms bromide. (If it were , a brown/black or violet colour would form; if , no change.)
Key Takeaways
- test: NaOH + heat, turns red litmus blue.
- Halide test: chlorine water displaces (brown) or (brown/violet).
Common Mistakes
- Not warming the NaOH — may not be evolved.
- Using the wrong indicator (must be damp red litmus).
- Saying "colourless" for the chlorine water test — gives a colour.
Things to Be Careful About
- Rinse the test-tube immediately after the chlorine test (chlorine is hazardous).
- Record the colour change precisely.
Use your observations in (b)(i), (b)(ii) and Table 3.2 to deduce the formulae of the cations and anions in FB 9. If you are unable to identify an ion, write 'unknown'.
cations .............................. and .............................
anions .............................. and .............................
Answer
cations: and unknown ()
anions: and
cations: NH4+ and unknown (Na+); anions: Br- and CO3^2-
Background Concept
Each test identifies a specific ion:
- (b)(i) → carbonate.
- (b)(ii) cream precipitate insoluble in → bromide.
- (b)(iii) evolved → ammonium.
The second cation is not identified by the tests — it is "unknown" ().
Understanding the Question
Deduce the cations and anions in FB 9 from all observations. FB 9 = .
Approach
Collect the evidence:
- with acid →
- Cream precipitate, insoluble in →
- with NaOH + heat →
- Second cation: not tested → unknown
Step-by-Step Reasoning
- (b)(i): fizzing + limewater milky → .
- (b)(ii): cream precipitate insoluble in ammonia → .
- (b)(iii) Test 1: evolved → .
- (b)(iii) Test 2: brown solution → confirmed.
- The cation that balances is not identified by these tests; it is "unknown" ().
Key Takeaways
- A systematic series of tests identifies ions.
- "Unknown" is a valid answer when the test does not identify an ion.
Common Mistakes
- Guessing the second cation without evidence.
- Missing the carbonate deduction from the limewater test.
Things to Be Careful About
- The mark scheme accepts "unknown" for the second cation.
- Both anions must be stated.
Answer
Ag+(aq) + Br-(aq) → AgBr(s)
Background Concept
When is added to a solution containing , the and combine to form insoluble . The nitrate and any other spectator ions are omitted.
Understanding the Question
Write the ionic equation for the reaction in (b)(ii) — the formation of the cream precipitate.
Approach
Identify the reacting ions: and . Combine them into the insoluble product . Add state symbols.
Step-by-Step Reasoning
dissociates to . comes from the bromide salt. . is a spectator ion and is omitted.
Key Takeaways
- Ionic equations omit spectator ions.
- State symbols are required.
Common Mistakes
- Including in the equation.
- Missing state symbols — (aq) and (s) are required.
- Writing instead of .
Things to Be Careful About
- The mark scheme requires state symbols.
- Balance the charges and atoms.
