Edexcel A-Level Chemistry Paper 2, November 2020: Question 9
11 marks · Hard difficulty · Calculations
Calculate the activation energy for the decomposition of nitrogen(V) oxide using Arrhenius equation and rate constants at two temperatures, and interpret Maxwell-Boltzmann distribution curves.
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Question text
9 This question is about the effect of temperature on the rate of decomposition of
nitrogen(V) oxide.
2N2O5(g) → 2N2O4(g) + O2(g)
(a) The diagram shows the Maxwell-Boltzmann distribution of molecular energies for
nitrogen(V) oxide at a temperature T1.
Ea is the activation energy of this reaction.
T1
Ea
Energy, E
(i) Give the label for the vertical axis.
(1)
(ii) Draw a second curve on the same set of axes for the same gas at a lower
temperature, T2.
(2)
(iii) Explain, in terms of collisions and energy, why lowering the temperature
decreases the rate of reaction.
(2)
(iv) A catalyst is added to the gas.
Label the diagram above with the symbol Ecat to show a possible activation
energy for the reaction in the presence of a catalyst.
(1)
(b) The rate constant for the decomposition of nitrogen(V) oxide was determined at*P62669A02832*
two temperatures.
Temperature / K Rate constant / s−1
328 1.50 × 10−3
338 4.87 × 10−3
Calculate the activation energy for this reaction.
Include units and give your answer to an appropriate number of significant figures.
You should not attempt to use any graphical method to answer this question.
The Arrhenius equation relating two rate constants, k1 and k2, at two different
temperatures, T1 and T2, can be expressed as
k2 Ea 1 1
ln = − −
k1 R T2 T1
(5)
(Total for Question 9 = 11 marks)
Mark scheme
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How to answer it
Effect of Temperature on the Rate of Decomposition
This question tests your understanding of Maxwell-Boltzmann distribution curves, the qualitative effect of temperature and catalysts on reaction rates, and quantitative problem-solving using the Arrhenius equation. You are required to manipulate natural logarithms, rearrange algebraic expressions, handle units correctly, and apply significant figure rules.
Part (a)(i) — Vertical Axis Label
Maxwell-Boltzmann Distribution Basics
✅ Correct Answer
Fraction / proportion / number of molecules (or particles) with energy, E
❌ Common Errors
Writing just "number of molecules" without referencing energy or probability. The vertical axis represents a distribution relative to energy, not a static count.
Part (a)(ii) — Lower Temperature Curve
Sketching Maxwell-Boltzmann Curves
✅ Correct Answer
- Peak for T₂ shifted to the left (lower modal energy) compared to T₁ .
- Peak for T₂ must be higher than T₁ (maintaining area under the curve).
- Asymptotic tail on the right must be lower than T₁ and MUST NOT touch or cross the x-axis.
🧠 Exam Technique
When drawing a lower temperature curve, remember: taller peak, shifted left, lower right-hand tail. Examiners strictly penalize curves that cross the original curve at unusual angles or touch the axis at the high-energy end.
Part (a)(iii) — Explaining Temperature Effect
Collisions and Energy Explanation
💡 Key Knowledge
- At a lower temperature, molecules have lower kinetic energy / move more slowly.
- Fewer molecules have energy greater than or equal to the activation energy ( E ≥ Eₐ ).
- Consequently, fewer successful/effective collisions occur per unit time.
❌ Common Errors
Students often lose marks by simply stating "there are fewer collisions overall". Examiners require specific reference to the activation energy and the proportion of molecules possessing sufficient energy to react.
Part (a)(iv) — Catalyst Activation Energy
Effect of Catalysts on Activation Energy
✅ Correct Answer
Label Eₙₜ marked clearly to the left of the original Eₐ , specifically positioned underneath the falling curve (between the highest point of the peak and the original Eₐ ).
🧠 Exam Technique
Ensure your label is clearly placed on the energy axis. A catalyst provides an alternative reaction pathway with a lower activation energy, shifting the threshold to the left.
Part (b) — Arrhenius Equation Calculation
Determining Activation Energy ( Eₐ ) from Rate Constants
📐 Step-by-Step Calculation
Step 1: Substitute values into the provided Arrhenius expression
ln(4.87 × 10⁻³ / 1.50 × 10⁻³) = (-Eₐ / 8.31) × ((1 / 338) - (1 / 328))
Step 2: Evaluate both sides
ln(3.2467) = 1.1776
(1 / 338) - (1 / 328) = -9.0201 × 10⁻⁵ K⁻¹
Step 3: Rearrange to isolate Eₐ
Eₐ = (1.1776 × 8.31) / (9.0201 × 10⁻⁵)
Step 4: Calculate final value
Eₐ = +108 493 J mol⁻¹
Step 5: Apply significant figures and units
108 000 J mol⁻¹ OR 108 kJ mol⁻¹ (to 3 SF) or 110 kJ mol⁻¹ (to 2 SF)
❌ Common Calculation Traps
- Sign Errors: Forgetting that subtracting inverted temperatures (1/T₂ - 1/T₁) yields a negative value, which cancels out the negative sign in the Arrhenius formula -Eₐ/R . Never report a negative activation energy!
- Unit Omission: Failing to include J mol⁻¹ or kJ mol⁻¹ loses the final mark.
- Significant Figures: Data is provided to 3 SF, so answers should be given to 2 or 3 significant figures.
Topics
Physical Chemistry · Topic 9: Kinetics I · Topic 16: Kinetics II
Question and mark scheme from the Edexcel A-Level Chemistry examination, Paper 2, November 2020. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.