5070/42

Chemistry 5070/42May/June 2021

Cambridge O-Level · Alternative to Practical · worked solutions for every part, with the mark scheme

5
questions
60
marks
60
minutes

Topics Use of Techniques, Apparatus and Materials · Experimental Contexts · Planning Experiments and Investigations · Analysis, Conclusions and Evaluation · Observations and Measurements · Qualitative Analysis

Q112MUse of Techniques, Apparatus and MaterialsPlanning Experiments and InvestigationsObservations and MeasurementsAnalysis, Conclusions and EvaluationFree sample

Hydrated magnesium sulfate has the formula MgSO4xH2O\text{MgSO}_4 \cdot x\text{H}_2\text{O}.

When hydrated magnesium sulfate is heated, it loses the water of crystallisation to form anhydrous magnesium sulfate.

MgSO4xH2O(s)MgSO4(s)+xH2O(g)\text{MgSO}_4 \cdot x\text{H}_2\text{O(s)} \rightarrow \text{MgSO}_4\text{(s)} + x\text{H}_2\text{O(g)}
(a)

A student does an experiment to find the value of xx in MgSO4xH2O\text{MgSO}_4 \cdot x\text{H}_2\text{O}.

The student:

1 records the mass of a crucible
2 adds hydrated magnesium sulfate to the crucible and records the mass again
3 heats the crucible strongly
4 allows the crucible and contents to cool and then records the mass again
5 repeats 3 and 4 until the same mass is recorded twice
6 uses the results to calculate the initial mass of MgSO4xH2O\text{MgSO}_4 \cdot x\text{H}_2\text{O} and the final mass of MgSO4\text{MgSO}_4.

(i)

Suggest why a crucible is used instead of a glass beaker.

______

1M
DifficultyEasy
Worked solution

Answer

Glass may break or melt when heated strongly, whereas a crucible (ceramic) withstands high temperatures. A crucible is also a better thermal conductor, allowing the solid to heat evenly and completely.

Final answer

Glass may break or melt; crucible is a better thermal conductor.

Detailed explanation

Walkthrough

The experiment requires strong heating to drive off water of crystallisation. Glass beakers are not designed to withstand the high temperatures of a Bunsen burner flame directly and may crack or melt. A crucible is made of ceramic (e.g., porcelain) which has a high melting point and is chemically inert. Additionally, ceramic is a better thermal conductor than glass, ensuring the contents heat through efficiently.

Key Takeaways

Always select apparatus appropriate for the thermal conditions of the experiment. Crucibles are used for strong heating of solids.

Common Mistakes

  • Saying "glass is too hot" (glass doesn't get too hot, it breaks). Must mention breaking or melting.
  • Forgetting the ORA (Opposite Reason Answer): if you say glass breaks, you can also say crucible conducts heat better.

Things to Be Careful About

The question asks to suggest why a crucible is used instead of a glass beaker. Focus on the limitations of glass (breaking/melting) or the advantages of a crucible (thermal conductivity, heat resistance).

Techniques used
compare thermal properties of glass and ceramic cruciblesjustify apparatus choice for strong heating
(ii)

Suggest why 3 and 4 are repeated until the same mass is recorded twice.

______

1M
DifficultyMedium-Easy
Worked solution

Answer

The heating and cooling are repeated until a constant mass is recorded to ensure that all the water of crystallisation has been driven off. If the mass changes, it means more water is still leaving the solid; constant mass confirms the sample is fully anhydrous.

Final answer

To ensure all water is driven off / sample is fully anhydrous.

Detailed explanation

Walkthrough

Heating hydrated salts drives off water. If heating is stopped too early, some water remains, making the final mass too high and the calculated water lost too low. By repeating the heating, cooling, and weighing process, the student checks if the mass is still decreasing. When two consecutive readings are the same (constant mass), no more water is being lost, meaning the dehydration is complete.

Key Takeaways

"Heating to constant mass" is a standard technique to ensure a reaction or physical change is complete.

Common Mistakes

  • Saying "to make the experiment accurate" (too vague). Must specify what is being made accurate (complete removal of water).
  • Saying "to get a better average" (this is for repeated readings of the same measurement, not for driving a reaction to completion).

Things to Be Careful About

The mark scheme accepts "to make sure ALL the water driven off" or "no water remains". Be specific about the water.

Techniques used
explain the purpose of heating to constant mass
(b)

Several students do the same experiment with different initial masses of MgSO4xH2O\text{MgSO}_4 \cdot x\text{H}_2\text{O}.

The results are shown in the table.

initial mass of MgSO4xH2O/g\text{MgSO}_4 \cdot x\text{H}_2\text{O} / \text{g}0.520.981.502.042.532.99
final mass of MgSO4/g\text{MgSO}_4 / \text{g}0.250.480.831.001.231.46
mass of H2O\text{H}_2\text{O} lost / g\text{g}0.500.671.301.53
(i)

Complete the table.

1M
DifficultyEasy
Worked solution

Answer

initial mass of MgSO4xH2O\text{MgSO}_4 \cdot x\text{H}_2\text{O} / g0.520.981.502.042.532.99
final mass of MgSO4\text{MgSO}_4 / g0.250.480.831.001.231.46
mass of H2O\text{H}_2\text{O} lost / g0.270.500.671.041.301.53

Working:

  • For 0.52 g initial: 0.520.25=0.270.52 - 0.25 = 0.27 g
  • For 2.04 g initial: 2.041.00=1.042.04 - 1.00 = 1.04 g
Final answer

0.27 and 1.04

Detailed explanation

Walkthrough

The mass of water lost is the difference between the initial mass of the hydrated salt and the final mass of the anhydrous salt.

  • Row 1, Column 1: 0.520.25=0.270.52 - 0.25 = 0.27 g.
  • Row 3, Column 4: 2.041.00=1.042.04 - 1.00 = 1.04 g.

Key Takeaways

Mass lost = Initial mass - Final mass. Always check units and decimal places.

Common Mistakes

  • Forgetting to copy the table headers correctly.
  • Calculation errors in subtraction.

Things to Be Careful About

Ensure the values are placed in the correct empty cells in the table.

Techniques used
calculate mass of water lost by subtraction
(ii)

On the grid, plot the final mass of MgSO4\text{MgSO}_4 against the mass of H2O\text{H}_2\text{O} lost.

2M
DifficultyMedium-Easy
Worked solution

Answer

Points to plot (x = mass of H2O\text{H}_2\text{O} lost, y = final mass of MgSO4\text{MgSO}_4):

  • (0.27, 0.25)
  • (0.50, 0.48)
  • (0.67, 0.83)
  • (1.04, 1.00)
  • (1.30, 1.23)
  • (1.53, 1.46)
Final answer

Graph with 6 points plotted at (0.27, 0.25), (0.50, 0.48), (0.67, 0.83), (1.04, 1.00), (1.30, 1.23), (1.53, 1.46).

Detailed explanation

Walkthrough

The question asks to plot "final mass of MgSO4\text{MgSO}_4 against the mass of H2O\text{H}_2\text{O} lost". This means:

  • x-axis (horizontal): mass of H2O\text{H}_2\text{O} lost (independent variable, though here it's derived).
  • y-axis (vertical): final mass of MgSO4\text{MgSO}_4 (dependent variable).

The grid provided has x-axis from 0 to 1.60 and y-axis from 0 to 1.60. Major markings are every 0.20. There are 10 small squares between 0.00 and 0.20, so each small square is 0.02.

Plotting the points:

  1. x=0.27 (1.5 small squares past 0.20), y=0.25 (1.25 small squares past 0.20).
  2. x=0.50 (on the line), y=0.48 (1 small square below 0.50).
  3. x=0.67 (3.5 small squares past 0.60), y=0.83 (1.5 small squares above 0.80).
  4. x=1.04 (2 small squares past 1.00), y=1.00 (on the line).
  5. x=1.30 (on the line), y=1.23 (1.5 small squares above 1.20).
  6. x=1.53 (1.5 small squares past 1.50), y=1.46 (3 small squares below 1.50).

Key Takeaways

Always check which variable goes on which axis. Plotting is a key skill in Paper 4.

Common Mistakes

  • Swapping x and y axes.
  • Misreading the grid scale (e.g., thinking each small square is 0.01 or 0.05).

Things to Be Careful About

Use crosses (x) or dots for points. The mark scheme shows crosses. Ensure points are within half a small square of the correct position.

Techniques used
plot data points on a Cartesian gridassign independent variable to x-axis and dependent to y-axis
(iii)

Draw a circle around the anomalous result on your graph.

1M
DifficultyMedium-Easy
Worked solution

Answer

Circle the point at (0.67, 0.83). This point lies significantly above the line of best fit that would pass through the origin and the other points.

Final answer

Circle the point (0.67, 0.83).

Detailed explanation

Walkthrough

Looking at the data, there is a roughly linear relationship. For every ~0.50 g of water lost, ~0.48-0.50 g of MgSO4 remains.

  • Point 1: 0.27 -> 0.25 (ratio ~0.92)
  • Point 2: 0.50 -> 0.48 (ratio ~0.96)
  • Point 3: 0.67 -> 0.83 (ratio ~1.24) -> Anomaly
  • Point 4: 1.04 -> 1.00 (ratio ~0.96)
  • Point 5: 1.30 -> 1.23 (ratio ~0.95)
  • Point 6: 1.53 -> 1.46 (ratio ~0.95)

The third point (0.67, 0.83) has a much higher mass of anhydrous salt than expected for the amount of water lost. It is the outlier.

Key Takeaways

An anomalous result is a data point that does not fit the general pattern or trend of the data.

Common Mistakes

  • Circling a point that is just slightly off but part of the trend.
  • Not circling clearly.

Things to Be Careful About

The circle must be around the specific data point (the cross), not just near it.

Techniques used
identify outlier on a scatter graph
(iv)

Suggest a reason for the anomalous result.

______

1M
DifficultyMedium-Easy
Worked solution

Answer

The sample was not heated strongly enough or for a long enough time, so not all the water of crystallisation was driven off. The final mass includes some remaining water, making the mass of MgSO4 appear too high and the mass of water lost too low.

Alternatively: The crucible was not cooled in a desiccator, so it absorbed moisture from the air during cooling.

Final answer

Sample not heated to constant mass / still contains some water / not fully anhydrous.

Detailed explanation

Walkthrough

For the anomalous point (0.67, 0.83):

  • Mass of water lost = 0.67 g (calculated from 1.50 - 0.83).
  • Mass of final solid = 0.83 g.
  • Expected final mass for 0.67 g water lost (based on other points, ratio ~0.95) would be around 0.67×0.950.640.67 \times 0.95 \approx 0.64 g.
  • The actual final mass (0.83 g) is much higher than expected (0.64 g). This means the final solid is heavier than it should be. Since the only thing left after heating should be anhydrous MgSO4, the extra mass must be unevaporated water.
  • Therefore, the heating was insufficient to remove all the water.

Another possible error: If the crucible was left in the open air to cool, anhydrous MgSO4 is hygroscopic and can reabsorb water from the atmosphere, increasing the final mass.

Key Takeaways

An anomalous result where the final mass is too high usually indicates incomplete reaction (not all water removed) or reabsorption of moisture.

Common Mistakes

  • Saying "the balance was wrong" (too vague, needs a specific chemical/physical reason).
  • Saying "too much water was lost" (this would make the final mass lower, not higher).

Things to Be Careful About

The reason must explain why the final mass of MgSO4 is too high (or water lost is too low). "Sample not heated to constant mass" is a key phrase.

Techniques used
propose a source of error for an anomalous result
(v)

Draw a straight line of best fit.

1M
DifficultyMedium-Easy
Worked solution

Answer

Draw a straight line of best fit that passes through the origin (0,0) and the five non-anomalous points: (0.27, 0.25), (0.50, 0.48), (1.04, 1.00), (1.30, 1.23), (1.53, 1.46). The line should not pass through the circled anomalous point (0.67, 0.83).

Final answer

Straight line from origin through the 5 good points, excluding the circled point at (0.67, 0.83).

Detailed explanation

Walkthrough

A line of best fit should represent the trend of the data. Since the relationship is proportional (if 0 g water is lost, 0 g anhydrous salt is produced - well, actually if you start with 0 hydrated salt you get 0, so it passes through origin), the line should go through (0,0).

The line should pass as close as possible to the majority of the points (the 5 good ones), with roughly equal numbers of points above and below the line on either side of the anomaly. The anomalous point (0.67, 0.83) is ignored for the line.

Looking at the points: (0.27, 0.25), (0.50, 0.48), (1.04, 1.00), (1.30, 1.23), (1.53, 1.46). These are very close to a straight line y=0.95xy = 0.95x (roughly). The line should go from (0,0) to roughly (1.53, 1.46).

Key Takeaways

  • Line of best fit must be a straight line (for this data).
  • Must pass through origin if the relationship is proportional (start with 0, get 0).
  • Exclude anomalous points.

Common Mistakes

  • Drawing a curve.
  • Forcing the line through the anomalous point.
  • Not starting the line at the origin (0,0).

Things to Be Careful About

Use a ruler. The line should be thin and clear.

Techniques used
draw line of best fit excluding anomalous point
(c)
(i)

In another experiment, the final mass of MgSO4\text{MgSO}_4 is 1.20 g1.20\text{ g}.

Use your graph to determine the mass of H2O\text{H}_2\text{O} lost.

______ g\text{g}

1M
DifficultyMedium-Easy
Worked solution

Working

Find 1.20 on the y-axis (final mass of MgSO4\text{MgSO}_4). Draw a horizontal line to the line of best fit. Then draw a vertical line down to the x-axis (mass of H2O\text{H}_2\text{O} lost).

Looking at the graph/line: At y=1.20, x is approximately 1.26.

Answer

1.26 g

Final answer

1.26

Detailed explanation

Walkthrough

The question gives a new final mass of 1.20 g. We need to find the corresponding mass of water lost using the graph.

  1. Locate 1.20 on the vertical axis (y-axis).
  2. Move horizontally to the right until you hit the line of best fit.
  3. From that intersection, move vertically down to the horizontal axis (x-axis).
  4. Read the value. The line passes through (1.30, 1.23) and (1.04, 1.00). At y=1.20, x is slightly less than 1.30. 1.26 is a reasonable reading.

Note: Reading from a graph always has some uncertainty. The mark scheme accepts 1.26 (likely 1.24 - 1.28 range).

Key Takeaways

Reading values from a graph requires precision and using the line of best fit, not the raw data points (unless reading a specific point).

Common Mistakes

  • Reading the wrong axis.
  • Not using the line of best fit (reading off the anomalous point or a specific data point incorrectly).

Things to Be Careful About

The mark scheme gives 1.26. Ensure your reading is consistent with the line drawn.

Techniques used
read value from graph using line of best fit
(ii)

Calculate the number of moles of water in your answer to (i).

[ArA_r: H, 1; O, 16]

______ mol\text{mol}

2M
DifficultyMedium-Easy
Worked solution

Working

Mass of water = 1.26 g (from part i).
MrM_r of H2O=(2×1)+16=18\text{H}_2\text{O} = (2 \times 1) + 16 = 18.

moles=massMr=1.2618\text{moles} = \frac{\text{mass}}{M_r} = \frac{1.26}{18} moles=0.07 mol\text{moles} = 0.07 \text{ mol}

Answer

0.07 mol

Final answer

0.07

Detailed explanation

Walkthrough

Use the formula: moles=massMr\text{moles} = \frac{\text{mass}}{M_r}.
Mass of water = 1.26 g.
Relative molecular mass (MrM_r) of water (H2O\text{H}_2\text{O}) = 1+1+16=181 + 1 + 16 = 18.

moles of water=1.2618=0.07 mol\text{moles of water} = \frac{1.26}{18} = 0.07 \text{ mol}

Key Takeaways

Always calculate MrM_r correctly. Water is 18, not 17 or 19.

Common Mistakes

  • Using the wrong mass (e.g., using 1.20 g of MgSO4 instead of the water mass).
  • Calculation error: 1.26/181.26 / 18. 18×7=12618 \times 7 = 126, so 1.26/18=0.071.26 / 18 = 0.07.

Things to Be Careful About

The mark scheme awards 1 mark for Mr=18M_r=18 and 1 mark for the correct mole calculation (0.07). Show the working.

Techniques used
calculate moles using mass and molar mass
(iii)

1.20 g1.20\text{ g} of MgSO4\text{MgSO}_4 contains 0.01 mol0.01\text{ mol} of MgSO4\text{MgSO}_4.

Calculate the value of xx in MgSO4xH2O\text{MgSO}_4 \cdot x\text{H}_2\text{O}.

x=x = ______

1M
DifficultyMedium-Easy
Worked solution

Working

Moles of MgSO4\text{MgSO}_4 = 0.01 mol (given).
Moles of H2O\text{H}_2\text{O} = 0.07 mol (calculated in part ii).

The formula is MgSO4xH2O\text{MgSO}_4 \cdot x\text{H}_2\text{O}. The ratio of moles of MgSO4\text{MgSO}_4 to moles of H2O\text{H}_2\text{O} is 1:x1 : x.

moles of H2Omoles of MgSO4=0.070.01=7\frac{\text{moles of } \text{H}_2\text{O}}{\text{moles of } \text{MgSO}_4} = \frac{0.07}{0.01} = 7

So, x=7x = 7.

Answer

7

Final answer

7

Detailed explanation

Walkthrough

We have the moles of both components in the hydrated salt.

  • Moles of anhydrous MgSO4\text{MgSO}_4 = 0.01 mol.
  • Moles of water H2O\text{H}_2\text{O} = 0.07 mol.

The chemical formula MgSO4xH2O\text{MgSO}_4 \cdot x\text{H}_2\text{O} tells us that for every 1 mole of MgSO4\text{MgSO}_4, there are xx moles of water.

Ratio = 0.070.01=7\frac{0.07}{0.01} = 7.

Therefore, x=7x = 7. The formula is MgSO47H2O\text{MgSO}_4 \cdot 7\text{H}_2\text{O} (magnesium sulfate heptahydrate, also known as Epsom salts).

Key Takeaways

To find the number of water molecules in a hydrate, calculate the mole ratio of water to the anhydrous salt.

Common Mistakes

  • Inverting the ratio (calculating 0.01/0.070.01/0.07).
  • Forgetting that the ratio is 1:x1:x, not x:1x:1.

Things to Be Careful About

The question asks for the value of xx, which is a whole number. 7 is a reasonable integer.

Techniques used
calculate empirical formula ratio from moles

The rest of this paper

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  • Q5Use of Techniques, Apparatus and Materials · Experimental Contexts · Planning Experiments and Investigations · Analysis, Conclusions and Evaluation15M
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