Chemistry 9701/51 — May/June 2021
Cambridge A-Level · Planning, Analysis and Evaluation · worked solutions for every part, with the mark scheme
Topics Planning · Analysis, Conclusions and Evaluation
Hydrogen peroxide decomposes slowly at room temperature to give water and oxygen.
The initial rate of this reaction can be increased by the addition of a metal oxide catalyst.
A student is asked to investigate which metal oxide catalyst is best at increasing the initial rate of this reaction by using a method which involves the collection of oxygen.
The student is provided with the following metal oxides: copper(II) oxide, iron(III) oxide, manganese(IV) oxide, nickel(II) oxide and titanium(IV) oxide.
The student is also provided with an excess volume, of a known concentration, of aqueous hydrogen peroxide and any laboratory equipment needed.
State the independent variable.
Answer
The metal oxide (used as a catalyst).
The metal oxide
Background Concept
In any scientific investigation, variables are categorised into three types: independent, dependent, and controlled. The independent variable is the factor that the experimenter deliberately changes or selects to observe its effect. The dependent variable is the factor that is measured or observed in response to changes in the independent variable. Controlled variables are all other factors that could affect the outcome and must be kept constant to ensure a fair test.
Understanding the Question
The student is investigating which metal oxide catalyst is best at increasing the initial rate of hydrogen peroxide decomposition. This means the student is choosing different metal oxides to test and measuring how fast the reaction goes.
Approach
Identify what is being changed between the different trials (the independent variable) and what is being measured as a result (the dependent variable).
Step-by-Step Reasoning
- The student is testing different metal oxides (copper(II) oxide, iron(III) oxide, etc.) to see which is the best catalyst. Therefore, the identity of the metal oxide is the independent variable.
- The goal is to find which catalyst increases the initial rate the most. The rate can be measured by observing how much oxygen is produced in a given time, or how long it takes to produce a given amount of oxygen. Thus, the dependent variable is a measure of the rate, such as the volume of oxygen produced in a set time.
Key Takeaways
Correctly identifying the independent variable is the first step in planning any practical investigation. It is the 'cause' being tested, while the dependent variable is the 'effect' being measured.
Common Mistakes
- Stating 'the rate of reaction' as the independent variable. The rate is what you are trying to measure (dependent), not what you are changing.
- Stating 'the type of reaction' as the independent variable. The reaction is the same; only the catalyst is changing.
Things to Be Careful About
Ensure the answer is specific. 'The catalyst' is acceptable, but 'the metal oxide' is more precise and directly matches the context of the question.
State the dependent variable.
Answer
The volume of oxygen produced in a set time (or the time taken to produce a set volume of oxygen, or the number of bubbles in a set time).
The volume of oxygen produced in a set time
Background Concept
The dependent variable is what you measure to see how it responds to changes in the independent variable. In kinetics experiments, the rate of reaction is the primary dependent variable. Rate can be expressed as the change in amount of product formed per unit time, or the change in amount of reactant used per unit time.
Understanding the Question
The question asks to state the dependent variable for an investigation comparing the initial rates of oxygen production using different catalysts.
Approach
Think about what physical quantity can be measured to determine the rate of oxygen production. Since the reaction produces oxygen gas, measuring the gas volume over time is the most direct method.
Step-by-Step Reasoning
- The reaction produces oxygen gas: .
- To find the initial rate, the student can measure the volume of oxygen collected at specific time intervals.
- Alternatively, they could measure the time taken to collect a fixed volume of oxygen, or simply count the number of bubbles produced in a set time (though this is less accurate).
- Therefore, the dependent variable is a measure of the rate, such as the volume of oxygen produced in a set time.
Key Takeaways
The dependent variable must be a measurable quantity that reflects the rate of reaction. For gas-evolving reactions, gas volume or mass loss are the standard dependent variables.
Common Mistakes
- Writing 'the rate of reaction' as the dependent variable. Rate is a calculated value (dependent variable / time); the actual measured dependent variable is volume, mass, or concentration.
- Writing 'the time' as the dependent variable. Time is usually the independent variable when plotting a graph of volume against time, or it is the dependent variable if measuring time for a fixed volume. Both are acceptable as long as they represent a rate measurement.
Things to Be Careful About
Be specific about what is being measured. 'Volume of oxygen' is better than just 'volume'. 'In a set time' clarifies that it is a rate measurement.
State two variables that would need to be controlled.
Answer
Any two from:
- The volume of the hydrogen peroxide solution.
- The concentration of the hydrogen peroxide solution.
- The temperature.
- The particle size (or mass) of the metal oxide catalyst.
Volume and concentration of hydrogen peroxide, temperature, and particle size of the catalyst (any two)
Background Concept
For an experiment to be a fair test, only the independent variable should affect the dependent variable. All other factors that could influence the rate of reaction must be kept constant; these are controlled variables.
Factors affecting the rate of a heterogeneous catalysed reaction (solid catalyst, liquid reactant) include:
- Concentration of the reactant (more particles = more frequent collisions).
- Temperature (higher kinetic energy = more frequent and more energetic collisions).
- Surface area of the solid catalyst (more exposed particles = more active sites for reaction).
- Volume of the reactant solution (must be consistent to ensure comparable conditions, though technically concentration is the key factor, volume is often controlled to keep the total system volume constant).
Understanding the Question
The student is testing different metal oxides. To ensure that any difference in the initial rate is only due to the identity of the metal oxide, all other conditions must be identical.
Approach
List the standard factors that affect reaction rates and select two that are relevant to this specific experimental setup.
Step-by-Step Reasoning
- Concentration of H₂O₂: If one trial uses a more concentrated solution, the rate will naturally be higher, ruining the comparison. Must be controlled.
- Volume of H₂O₂: While concentration is the primary factor, keeping the volume constant ensures the total amount of reactant and the depth of the liquid (affecting pressure/temperature distribution) are consistent.
- Temperature: Reaction rates are highly temperature-dependent. The experiment must be conducted at a constant temperature (e.g., room temperature, or in a water bath).
- Particle size of the metal oxide: The reaction occurs on the surface of the solid catalyst. A finer powder has a larger surface area and will react faster than a large lump, even if the mass is the same. Particle size must be controlled.
- Selecting any two of these provides the required answer.
Key Takeaways
When planning a kinetics experiment, always consider the collision theory factors: concentration, temperature, surface area, and catalyst mass/type. All must be controlled except the one being investigated.
Common Mistakes
- Suggesting 'the mass of the metal oxide' as a controlled variable without also mentioning 'particle size'. If you change the particle size but keep the mass the same, the surface area changes, altering the rate. (Though mass is often controlled, surface area/particle size is the more scientifically precise answer for heterogeneous catalysis).
- Suggesting 'the time' as a controlled variable. Time is what you measure or set as an interval; it is not a condition of the reaction environment.
Things to Be Careful About
The mark scheme accepts 'particle size'. 'Surface area' is also acceptable and is the underlying physical reason why particle size must be controlled. Ensure you specify which concentration or volume (e.g., 'concentration of hydrogen peroxide', not just 'concentration').
Draw a labelled diagram of the assembled apparatus that could be used to carry out these experiments. The apparatus should allow the accurate recording of the oxygen produced.
Answer
A conical flask containing aqueous hydrogen peroxide and the solid metal oxide catalyst, sealed with a rubber bung. A delivery tube passes through the bung and leads into an inverted, water-filled measuring cylinder (with graduation marks) submerged in a trough of water, or into a gas syringe.
See diagram
Background Concept
To measure the rate of a reaction that produces a gas, the gas must be collected and its volume measured over time. Two common methods are:
- Over water: The gas is collected in an inverted measuring cylinder or burette filled with water, submerged in a water trough. The gas displaces the water, and the volume is read from the graduations.
- Gas syringe: The gas is collected directly in a calibrated gas syringe, avoiding the solubility issues of some gases in water (though O₂ is only slightly soluble, making the water method acceptable here).
The apparatus must be gas-tight (sealed) so that all generated gas is directed into the collection device and not lost to the atmosphere.
Understanding the Question
The student needs to collect oxygen gas accurately to measure its volume over time. The question asks for a labelled diagram of the assembled apparatus.
Approach
Draw a standard gas-collection-over-water setup or a gas syringe setup. Ensure all key components are labelled: the reaction vessel, the seal, the delivery tube, and the gas collection device.
Step-by-Step Reasoning
- Reaction vessel: A conical flask is ideal as it can be stoppered and allows for easy addition of the solid catalyst to the liquid. It must contain the reactants: hydrogen peroxide (liquid) and the metal oxide (solid).
- Seal: The flask must be sealed with a rubber bung (stopper) to prevent gas from escaping.
- Delivery tube: A delivery tube (or glass tube with rubber tubing) must pass through the bung to transport the gas from the flask to the collection device.
- Collection device: An inverted measuring cylinder (with graduation marks) filled with water and placed in a trough of water is a standard, accurate method. Alternatively, a gas syringe is acceptable and often more accurate as it doesn't rely on water displacement.
- Labels: The diagram must clearly label the contents of the flask ('hydrogen peroxide', 'metal oxide') and the collection device ('measuring cylinder' or 'gas syringe').
Key Takeaways
Gas collection apparatus must be a closed system from the reaction vessel to the measuring device. Always label the contents of the reaction vessel and the measuring device.
Common Mistakes
- Forgetting to draw a stopper/bung in the flask. Without a seal, the gas will escape through the top of the flask, and the volume collected will be inaccurate.
- Drawing the delivery tube extending into the liquid in the flask. The delivery tube should just pass through the bung; if it is in the liquid, the gas will have to bubble through the liquid, which is unnecessary and could cause pressure buildup or liquid to be pushed out.
- Not labelling the contents. The mark scheme specifically rewards identifying 'contents of flask'.
Things to Be Careful About
- If drawing the water displacement method, ensure the measuring cylinder is inverted and submerged in water. The delivery tube should be positioned under the mouth of the inverted cylinder.
- State symbols are not required in an apparatus diagram, but clear labels are essential.
- A gas syringe is a perfectly valid alternative and is often preferred in modern practicals to avoid the slight solubility of oxygen in water and the difficulty of reading a meniscus in a small cylinder.
What measurements need to be recorded during the course of each experiment to allow the initial rate to be determined?
Answer
The volume of oxygen gas produced and the corresponding time.
Volume of oxygen and time
Background Concept
The rate of reaction is defined as the change in concentration (or amount) of a reactant or product per unit time. For a gas-evolving reaction, the rate can be determined by measuring the volume of gas produced at regular time intervals.
Understanding the Question
The question asks what measurements must be recorded during the experiment to determine the initial rate. To plot a rate graph, you need a dataset of paired values.
Approach
Identify the two variables that form the axes of a rate-time graph: the amount of product (volume of gas) and the time elapsed.
Step-by-Step Reasoning
- To find the rate, you need to know how much product is formed. So, record the volume of oxygen (or gas) collected.
- You also need to know when that volume was reached. So, record the time at which each volume reading is taken.
- By recording volume at multiple time points (e.g., every 10 seconds), you build a dataset to plot a graph.
Key Takeaways
Rate determination requires paired data: the quantity of product (or reactant) and the time at which it was measured.
Common Mistakes
- Stating only 'volume of gas'. Without time, you cannot calculate a rate (rate = volume / time).
- Stating 'mass of oxygen'. While technically correct, the apparatus described collects volume, not mass. Stick to what is measurable with the given apparatus.
Things to Be Careful About
Be specific. 'Volume of oxygen' is better than 'volume of gas', though 'gas' is often accepted. 'Time' should be 'time elapsed' or 'time at which the volume was measured'.
How is the initial rate determined using these measurements?
Answer
Plot a graph of volume of oxygen against time. Draw a tangent to the curve at (the start) and measure its gradient.
Plot a graph of volume against time and measure the gradient of the tangent at t=0
Background Concept
The initial rate of a reaction is the rate at the very beginning (), before the concentration of reactants has significantly decreased. On a graph of product volume against time, the curve is steepest at the start and gradually flattens as the reaction slows down.
The instantaneous rate at any point on a curve is given by the gradient of the tangent to the curve at that point.
Understanding the Question
The student has a set of volume vs. time data points. How do they use this data to find the initial rate specifically?
Approach
Explain the graphical method for determining an initial rate from time-series data.
Step-by-Step Reasoning
- Plot the data: Create a graph with time on the x-axis and volume of oxygen on the y-axis.
- Draw a curve of best fit: Connect the data points with a smooth curve (not a straight line, as the rate decreases over time).
- Draw a tangent: At (the y-intercept), draw a straight line that just touches the curve. This is the tangent at the start.
- Calculate the gradient: Choose two points on the tangent (far apart to minimise error) and calculate the gradient: . This gradient is the initial rate.
Key Takeaways
The initial rate is the gradient of the volume-time graph at . Always use a tangent for instantaneous rates on a curved graph.
Common Mistakes
- Calculating the average rate over the whole reaction (total volume / total time). This is not the initial rate.
- Drawing a straight line through the data points instead of a curve of best fit, and then taking the gradient of that straight line. The reaction slows down, so the graph must be curved.
- Choosing points too close together on the tangent when calculating the gradient, which amplifies reading errors.
Things to Be Careful About
- Ensure the axes are correctly labelled: 'Volume of oxygen / cm³' on the y-axis, 'Time / s' on the x-axis.
- The gradient calculation must use points on the tangent, not points on the curve itself.
How can the student ensure that the results are reliable?
Answer
Repeat the experiments (for each metal oxide) and calculate a mean, or check that the results are consistent (concordant).
Repeat the experiments until consistent results are obtained
Background Concept
Reliability refers to the consistency of results. If an experiment is repeated and gives similar results, it is reliable. Reliability is improved by repeating measurements and identifying/correcting anomalies.
Accuracy refers to how close a result is to the true value. This is improved by using better apparatus or correcting systematic errors.
Understanding the Question
The question asks how to ensure the results are reliable. This is a standard practical skills question about experimental design.
Approach
State the standard method for improving reliability in any quantitative experiment.
Step-by-Step Reasoning
- To check if the results are consistent, the student should repeat the experiment for each metal oxide.
- This means running the reaction with the same metal oxide multiple times (e.g., 3 times).
- The results can then be compared. If they are close (concordant), the results are reliable. Anomalies can be spotted and excluded, and a mean can be calculated.
Key Takeaways
'Repeat and calculate a mean' or 'repeat until concordant results are obtained' are the standard answers for improving reliability.
Common Mistakes
- Saying 'use better apparatus'. This improves accuracy, not necessarily reliability.
- Saying 'do it more carefully'. This is too vague and not a specific scientific method.
- Confusing reliability with validity. Validity is about whether the experiment tests what it is supposed to test (controlled variables); reliability is about consistency (repeats).
Things to Be Careful About
Be specific. 'Repeat the experiments' is good. 'Repeat until consistent results' is better. Mentioning 'calculate a mean' or 'identify anomalies' adds depth and is often rewarded.
Suggest an alternative method to investigate these reactions which does not include the collection of gas.
Answer
Measure the decrease in total mass of the reaction vessel and its contents over time using a balance.
Measure the decrease in mass of the reaction vessel over time
Background Concept
The rate of a reaction can be monitored by measuring the change in any physical property that is proportional to the amount of reactant used or product formed. For a reaction producing a gas:
- Volume of gas (collected over water or in a gas syringe) — increases over time.
- Mass of the system (reaction vessel + contents) — decreases over time as gas escapes into the atmosphere.
Understanding the Question
The question asks for an alternative method that does not involve the collection of gas (i.e., not measuring volume). How else can we monitor the production of oxygen gas?
Approach
Think about what happens to the system when a gas is produced and escapes. The total mass decreases.
Step-by-Step Reasoning
- The reaction is: .
- If the reaction vessel is left open to the atmosphere (e.g., a conical flask on a balance), the oxygen gas will escape.
- The total mass of the flask and its contents will decrease as the oxygen leaves.
- By placing the reaction vessel on a balance and recording the mass at regular time intervals, the student can plot mass vs. time. The gradient of this graph (or the rate of mass loss) gives the rate of reaction.
Key Takeaways
Mass loss is a standard alternative to gas volume collection for reactions that produce a gas that escapes the system.
Common Mistakes
- Suggesting 'measuring the concentration of hydrogen peroxide'. This is difficult and slow to do (e.g., via titration) and not practical for monitoring initial rates in real-time.
- Suggesting 'measuring the temperature'. The reaction is slightly exothermic, but the temperature change is small and slow to measure, making it a poor method for initial rates.
Things to Be Careful About
Be specific. 'Measuring the mass' is not enough; you must specify 'measuring the decrease in mass' or 'mass loss' over time. Mentioning the use of a 'balance' or 'digital balance' is good practice.
Once the reaction has finished, how can the student demonstrate that the metal oxide has not been affected by the reaction?
Answer
Filter off the solid metal oxide, dry it, and weigh it to show the mass is unchanged. Alternatively, reuse the metal oxide with fresh hydrogen peroxide and show that the rate of reaction (or total gas volume) is the same.
Filter, dry, and weigh the residue to show mass is unchanged, or reuse it to show the rate is the same
Background Concept
A catalyst is a substance that increases the rate of a reaction without being used up or chemically changed at the end of the reaction. To demonstrate this experimentally, you must show that the catalyst's mass and chemical identity (and thus its catalytic activity) remain unchanged after the reaction.
Understanding the Question
The student has finished the reaction. How can they prove the metal oxide is still the same catalyst and hasn't been consumed or altered?
Approach
Provide two valid experimental methods to verify the catalyst's properties post-reaction: one based on mass conservation, one based on reactivity.
Step-by-Step Reasoning
- Method 1 (Mass check):
- The metal oxide is a solid in a liquid mixture. Separate it by filtering (or centrifuging).
- Wash the residue to remove any adhering hydrogen peroxide or water.
- Dry the solid (e.g., in an oven or between filter papers).
- Weigh the dried solid. If the mass is the same as the mass weighed before the reaction, it has not been consumed.
- Method 2 (Reactivity check):
- Take the recovered solid metal oxide.
- Add it to a fresh sample of hydrogen peroxide (of the same concentration and volume as before).
- Measure the rate of reaction (e.g., volume of gas in a set time).
- If the rate is the same as in the original experiment, the catalyst has not been deactivated or chemically changed.
Key Takeaways
To prove a catalyst is unchanged, show that its mass is conserved and its catalytic activity is retained.
Common Mistakes
- Saying 'it looks the same'. Visual appearance is not proof of chemical identity or mass conservation.
- Forgetting to dry the catalyst before weighing. Wet catalyst will have a higher mass due to water, giving a false result.
- Not specifying 'fresh' hydrogen peroxide in Method 2. If you reuse the same mixture, the hydrogen peroxide is already decomposed, so no reaction will occur.
Things to Be Careful About
The mark scheme accepts either method (mass or reactivity). Both require two clear steps (e.g., filter+dry+weigh, or reuse+compare rate). Ensure the steps are logically ordered.
When aqueous hydrogen peroxide is stored there is a small hole in the lid of the bottle.
Suggest why this is necessary.
Answer
To allow the oxygen (or gas) that is formed from the slow decomposition to escape, preventing a build-up of pressure that could burst the bottle.
To allow the oxygen gas to escape and prevent pressure build-up
Background Concept
Hydrogen peroxide () is unstable and slowly decomposes at room temperature into water and oxygen gas:
This decomposition is accelerated by light, heat, and impurities (including the metal ions in the bottle cap or dust).
Understanding the Question
A bottle of aqueous hydrogen peroxide has a small hole in the lid. Why is this necessary for storage?
Approach
Consider the physical consequences of a gas being produced in a sealed container.
Step-by-Step Reasoning
- As hydrogen peroxide slowly decomposes, oxygen gas is produced.
- If the bottle were completely sealed, the oxygen gas would have nowhere to go.
- The gas would build up, increasing the pressure inside the bottle.
- Over time, the pressure could become high enough to deform or burst the plastic bottle, or blow the lid off, creating a safety hazard.
- The small hole allows the oxygen to diffuse out (escape) slowly, keeping the internal pressure equal to atmospheric pressure.
Key Takeaways
Containers for substances that slowly release gas must have a vent to prevent pressure build-up and potential explosion.
Common Mistakes
- Saying 'to let the air in'. The issue is gas escaping, not air entering.
- Saying 'to prevent it from going bad'. While true that decomposition degrades the peroxide, the hole specifically addresses the physical pressure hazard, not the chemical degradation (which is why peroxide is stored in dark, opaque bottles).
Things to Be Careful About
Focus on the pressure aspect. 'To allow gas to escape' is the core answer. Adding 'to prevent pressure build-up' or 'to prevent the bottle from bursting' demonstrates a deeper understanding of the physical chemistry involved.
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