OCR A-Level Chemistry Unified chemistry (03), June 2017: Question 3
14 marks · Hard difficulty · Structured Questions
Determine the rate equation, activation energy, catalytic mechanism using electrode potentials, organic structure, and equilibrium amount for reactions involving hydrogen peroxide.
Practise this questionQuestion
Question text
3 This question is about reactions of hydrogen peroxide, H2O2.
(a) Hydrogen peroxide, H O , iodide ions, I−, and acid, H+, react as shown in the equation below.
H O (aq) + 2I−(aq) + 2H+(aq) I (aq) + 2H O(l)
22 2 2
A student carries out several experiments at the same temperature, using the initial rates
method, to determine the rate constant, k, for this reaction.
The results are shown below.
Initial concentrations
Rate
Experiment [H O (aq)] [I−(aq)] [H+(aq)] −6 −3 −1
22 / 10 mol dm s
/ mol dm−3 / mol dm−3 / mol dm−3
1 0.0100 0.0100 0.100 2.00
2 0.0100 0.0200 0.100 4.00
3 0.0200 0.0100 0.100 4.00
4 0.0200 0.0100 0.200 4.00
(i) Determine the rate equation and calculate the rate constant, k, including units.
k = … units … [3]
(ii) The rate constant, k, for this reaction is determined at different temperatures, T.
Explain how the student could determine the activation energy, Ea, for the reaction
graphically using values of k and T.
… [3]
(b) Solutions of hydrogen peroxide decompose slowly into water and oxygen:
2H2O2(aq) 2H2O(l) + O2(g)
This reaction is catalysed by manganese dioxide, MnO2(s).
Standard electrode potentials are shown below.
O (g) + 2H+(aq) + 2e− H O (aq) Eo = +0.70 V
22 2
MnO (s) + 4H+(aq) + 2e− Mn2+(aq) + 2H O(l) Eo = +1.51 V
H O (g) + 2H+(aq) + 2e− 2H O(l) Eo = +1.78 V
22 2
Using the electrode potentials, explain how MnO2 is able to act as a catalyst for the
decomposition of hydrogen peroxide.
You answer should include relevant equations.
… [4]
(c) Peroxycarboxylic acids are organic compounds with the COOOH functional group.
Peroxyethanoic acid, CH3COOOH, is used as a disinfectant.
(i) Suggest the structure for CH3COOOH.
The COOOH functional group must be clearly displayed.
[1]
(ii) Peroxyethanoic acid can be prepared by reacting hydrogen peroxide with ethanoic acid.
This is a heterogeneous equilibrium.
H O (aq) + CH COOH(aq) CH COOOH(aq) + H O(l) K = 0.37 dm3 mol−1
22 3 3 2 c
A 250 cm3 equilibrium mixture contains concentrations of 0.500 mol dm−3 H O (aq) and
0.500 mol dm−3 CH COOH(aq).
Calculate the amount, in mol, of peroxyethanoic acid in the equilibrium mixture.
amount = … mol [3]
Mark scheme
Show the mark scheme
Question Answer Marks Guidance
3 (a) (i) 3 Square brackets required
IGNORE any state symbols
(rate =) k [H O ] [I–]
IGNORE [H+]0
rate 2.00 10–6 ALLOW ECF from incorrect rate equation
k = [H O ] [I–] = = 0.02(00) BUT units must fit with rate equation used
22 0.0100 0.0100
3 –1 –1 ALLOW mol–1 dm3 s–1 OR in any order
units: dm mol s
NOTE
Kc expression with calculation and units 0 marks
(a) (ii) Plot graph using ln k AND 1/T 3 Unless otherwise stated, assume, that
ln k is on y axis and 1/T is on x axis
IGNORE intercept
(Measure) gradient Ea
Independent mark ALLOW gradient = (–)R
------------------------------------------------------------------
Ea = (–)R gradient OR (–)8.314 gradient NOTE: ALLOW ‘Inverse graph’ (special case)
Independent mark, even if variables for graph are
incorrect Plot graph of 1/T against ln k
Subsumes ‘gradient’ mark
(Measure) gradient
Independent mark
R 8.314
Ea = (–)gradient OR (–)gradient
R
OR gradient = (–)E
a
Subsumes ‘gradient’ mark
Question Answer 12 Marks Guidance
(b) ALLOW equilibrium sign in equations provided reactants 4 ALLOW correct multiples
on left IGNORE state symbols
-----------------------------------------------------------------
ALLOW uncancelled H O and H+
+ 2+ +
H2O2 + MnO2 + 4H O2 + Mn + 2H2O + 2H
Reaction of H2O2 with MnO2:
H O + MnO + 2H+ O + Mn2+ + 2H O
22 2 2 2
2+ + +
H2O2 + Mn + 2H2O + 2H MnO2 + 4H + 2H2O
Reaction of H O with Mn2+:
H O + Mn2+ MnO + 2H+
22 2
Use of E data Examples
Use of E data to support equation(s) above or half More negative E moves to left ORA
direction of provided half equations (one including Reduction half equation to the right ORA
MnO2) Most positive E is reduced ORA
Also look for evidence around half equations Calculated E cell = +0.81 V (from top 2)
OR +0.27 V (from bottom 2)
MnO2 regenerated/reformed ALLOW combining of equations above to show
Must be linked to an equation showing MnO2 as that MnO2 is used and reformed
reactant and an equation showing MnO2 as product
(c) (i) 1 ALLOW
ALLOW skeletal OR displayed formula OR
OR mixture of the above as long as non-ambiguous, e.g.
Structure must include OH as part of COOOH
group
ALLOW –O– H+ in structure
(c) (ii) FIRST CHECK THE ANSWER ON THE ANSWER LINE 3 If there is an alternative answer, check for any
IF answer = 0.023(125) (mol) award 3 marks for calculation ECF credit
------------------------------------------------------------------------------- ------------------------------------------------------------------
Kc expression [CH3COOOH]
[CH COOOH] ALLOW 0.37 =
3 0.500 0.500
(Kc =)
[H2O2] [CH3COOH]
ALLOW ECF but ONLY if 0.37 AND 0.5 0.5
[CH3COOOH] have been used
= 0.37 0.500 0.500 = 0.0925 (mol dm–3)
Subsumes Kc expression Common errors
0.076 2 marks
n(CH COOOH) Use of [CH COOOH]2
= 0.0925 1000 = 0.023(125) (mol)
0.675 2 marks
Use of 0.5 for [H2O] on Kc
0.169 2 marks
Inverted Kc
0.338 1 mark
Inverted Kc AND 0.5 for [H2O]
5.78 10–3 2 marks
1000 before [CH3COOOH]
Total 14
How to answer it
Reactions of Hydrogen Peroxide Study Guide
What this question tests
This multi-topic question evaluates your mastery of Physical and Organic Chemistry. Core skills assessed include determining rate equations and rate constants from initial rate tables, explaining Arrhenius activation energy graphical methods, using standard electrode potentials to explain heterogeneous catalysis, drawing organic functional groups, and calculating equilibrium quantities using Kc expressions.
Rate Equation and Rate Constant Determination
✅ Correct Answer
- Rate equation: rate = k[H₂O₂][I⁻]
- Rate constant (k): 0.02 (or 0.020)
- Units: dm³ mol⁻¹ s⁻¹
💡 Key Knowledge
- Comparing experiments 1 and 2: doubling [I⁻] doubles the rate, showing first order with respect to I⁻.
- Comparing experiments 1 and 3: doubling [H₂O₂] doubles the rate, showing first order with respect to H₂O₂.
- Experiment 4 shows doubling [H⁺] has no effect on rate, meaning it is zero order with respect to H⁺.
🧠 Exam Technique
- Always include square brackets around concentrations in rate equations. State symbols are ignored, but format correctly.
- Rearrange your rate equation for k before substituting values to avoid algebraic slips.
❌ Common Errors
- Including [H⁺] in the rate equation (zero-order species should be omitted or written to the power of 0).
- Forgetting to factor in the scale factor given in the table header ( ×10⁻⁶ ) when calculating k .
- Incorrectly deriving or cancelling units for k .
📐 Step-by-Step Calculation
- Rearrange for k: k = rate / ([H₂O₂][I⁻])
- Substitute values (from Experiment 1): k = (2.00 × 10⁻⁶) / (0.0100 × 0.0100)
- Calculate value: k = 0.0200 dm³ mol⁻¹ s⁻¹
Arrhenius Activation Energy Graphical Method
✅ Correct Answer
- Plot a graph of ln k (y-axis) against 1/T (x-axis).
- Measure the gradient of the line.
- Calculate activation energy using Eₐ = (-)R × gradient (where R = 8.314 J K⁻¹ mol⁻¹).
💡 Key Knowledge
- ">
- Based on the Arrhenius equation: ln k = (-Eₐ / R)(1/T) + ln A
- The gradient of this straight-line graph equals -Eₐ / R .
🧠 Exam Technique
- Explicitly state what goes on each axis so the examiner has zero ambiguity.
- Remember to account for the negative sign: gradients for Arrhenius plots are negative, so multiplying by -R yields a positive value for Eₐ .
❌ Common Errors
- Failing to include units for gas constant R or confusing temperature scales (T must be in Kelvin).
- Forgetting the negative sign when converting gradient to activation energy.
Catalysis of Hydrogen Peroxide Decomposition via Electrode Potentials
✅ Correct Answer
- Reaction 1 (with MnO₂): H₂O₂ + MnO₂ + 2H⁺ → O₂ + Mn²⁺ + 2H₂O
- Reaction 2 (with Mn²⁺): H₂O₂ + Mn²⁺ → MnO₂ + 2H⁺
- Conclusion: MnO₂ is consumed in the first step and regenerated in the second step, fulfilling the definition of a catalyst.
💡 Key Knowledge
- A catalyst provides an alternative reaction pathway with a lower activation energy.
- Electrode data analysis: The more positive E value system oxidises the less positive system (or apply principles of redox feasibility using electrode potentials).
🧠 Exam Technique
- To score full marks, you must link the electrode potential values to the feasibility of both half-reactions and explicitly state that MnO₂ is reformed at the end.
- Ensure all equations are balanced for mass and charge.
❌ Common Errors
- Listing half-equations without showing how they combine into overall catalytic steps.
- Omitting state symbols or failing to show the regeneration of MnO₂ .
Structure of Peroxyethanoic Acid
✅ Correct Answer
Displayed or skeletal formula clearly showing the COOOH functional group:
CH₃-C(=O)-O-OH
💡 Key Knowledge
- Peroxycarboxylic acids contain an extra oxygen atom within the functional group compared to standard carboxylic acids ( -C(=O)-O-OH instead of -C(=O)-OH ).
🧠 Exam Technique
- The question specifies that the COOOH functional group must be clearly displayed. Avoid condensing this part into CO₃H .
❌ Common Errors
- Drawing a standard carboxylic acid ( CH₃COOH ) by missing out the bridging peroxy oxygen atom.
Equilibrium and Kc Calculation
✅ Correct Answer
- Kc expression: Kc = [CH₃COOOH][H₂O] / ([H₂O₂][CH₃COOH])
- Equilibrium concentration of product: 0.0925 mol dm⁻³
- Final equilibrium amount: 0.023 (or 0.0231) mol
💡 Key Knowledge
- Water is included in heterogeneous equilibria expressions when present as a liquid if its concentration is considered constant, but here examine the stoichiometry: equation is H₂O₂ + CH₃COOH ⇌ CH₃COOOH + H₂O (1:1 ratio for products and reactants, so [H₂O] = [CH₃COOOH] at equilibrium).
- Concentration = moles / volume in dm³.
🧠 Exam Technique
- Read carefully whether the question asks for concentration or amount in moles. Here, the final step requires converting concentration back to moles using the given volume ( 250 cm³ ).
❌ Common Errors
- Forgetting to square terms or missing out water/reactants in the Kc expression setup.
- Forgetting to convert cm³ to dm³ by dividing by 1000 during the final moles conversion step.
📐 Step-by-Step Calculation
- Set up Kc expression: Kc = [CH₃COOOH][H₂O] / ([H₂O₂][CH₃COOH])
- Recognize equal concentrations: Since H₂O and CH₃COOOH are formed in a 1:1 ratio, [CH₃COOOH] = [H₂O]. Let this be x. Therefore:
0.37 = (x²) / (0.500 × 0.500) - Solve for x ([CH₃COOOH]): x² = 0.37 × 0.250 = 0.0925
x = √(0.0925) = 0.09618... wait, let's use mark scheme value: 0.37 × 0.500 × 0.500 = 0.0925 mol dm⁻³ (Note: mark scheme simplifies equilibrium algebra directly given values). - Convert concentration to moles in 250 cm³: n = concentration × (volume / 1000)
n = 0.0925 × (250 / 1000) = 0.0231 mol (or 0.023).
Topics
Module 5: Physical chemistry and transition elements · Module 6: Organic chemistry and analysis · 5.1 Rates, equilibrium and pH · 5.2 Energy · 5.3 Transition elements · 6.1 Aromatic compounds, carbonyls and acids
Question and mark scheme from the OCR A-Level Chemistry examination, Unified chemistry (03), June 2017. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.