OCR A-Level Chemistry Unified chemistry (03), June 2025: Question 6

6 marks · Hard difficulty · Extended Response

Calculate the enthalpy change of reaction for the decomposition of sodium hydrogencarbonate using experimental calorimetry data for sodium carbonate reacting with nitric acid and an enthalpy cycle.

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Question

Question 6 is an extended response question marked with an asterisk, worth 6 marks. It displays three chemical reactions: Reaction 6.1 shows the thermal decomposition of sodium hydrogencarbonate into sodium carbonate, water, and carbon dioxide (enthalpy change ΔH1). Reaction 6.2 shows sodium carbonate reacting with nitric acid (ΔH2), and Reaction 6.3 shows sodium hydrogencarbonate reacting with nitric acid (ΔH3). A student's method is outlined for measuring ΔH2, with tables showing mass readings (mass of bottle + Na2CO3 = 3.26 g, empty bottle = 1.29 g, polystyrene cup = 21.08 g, cup + final solution = 54.58 g) and temperature readings (initial = 20.0 °C, maximum = 24.0 °C). The student finds ΔH3 = +19.8 kJ mol⁻¹. Students are asked to calculate ΔH2, determine ΔH1, and show working including an energy cycle linking the enthalpy changes.
Question text

The enthalpy change of Reaction 6.1, ∆H1, shown below, is difficult to measure directly by

experiment.

2NaHCO3(s) Na2CO3(s) + H2O(l) + CO2(g) ∆H1 Reaction 6.1

The enthalpy changes of reaction for the reactions of Na2CO3 and NaHCO3 with excess HNO3(aq)

can be measured by experiment.

The reactions are shown below as Reaction 6.2 and Reaction 6.3.

Na2CO3(s) + 2HNO3(aq) 2NaNO3(aq) + H2O(l) + CO2(g) ∆H2 Reaction 6.2

NaHCO3(s) + HNO3(aq) NaNO3(aq) + H2O(l) + CO2(g) ∆H3 Reaction 6.3

A student reacts Na2CO3(s) with HNO3(aq) to find ∆H2 for Reaction 6.2.

Student’s method

Weigh a bottle containing Na2CO3(s) and weigh a polystyrene cup.

Add about 30 cm3 of 1.00 mol dm–3 HNO (aq) to the polystyrene cup and measure its

temperature.

Add the Na2CO3(s), stir the mixture, and measure the maximum temperature reached.

Weigh the empty bottle and weigh the polystyrene cup with the final solution.

Mass readings

Mass of bottle + Na2CO3(s) / g 3.26

Mass of empty bottle / g 1.29

Mass of polystyrene cup / g 21.08

Mass of polystyrene cup + final solution / g 54.58

Temperature readings

Initial temperature of HNO3(aq) / °C 20.0

Maximum temperature of final solution / °C 24.0

The student follows a similar method and reacts NaHCO3(s) with HNO3(aq) to find ∆H3 for

Reaction 6.3.

The student calculates ∆H for Reaction 6.3 as +19.8 kJ mol–1.

Calculate ∆H2 for Reaction 6.2 and determine the enthalpy change of Reaction 6.1, ∆H1.

Assume that the density and specific heat capacity, c, of the final solution are the same as for

water.

Show your working, including an energy cycle linking the enthalpy changes.

… [6]

Extra answer space if required.

Mark scheme

Show the mark scheme Mark scheme for Question 6 outlining level descriptors and indicative scientific points for 6 marks. Level 3 (5–6 marks) requires calculating the correct enthalpy change ΔH2 using m = 33.5 g in reaction 6.2 and correct ΔH1 in reaction 6.1 with a well-developed line of reasoning. Level 2 (3–4 marks) requires calculating energy change per mole of Na2CO3 or HNO3 and the correct amount in moles. Level 1 (1–2 marks) processes experimental data with mcΔT. The guidance details two approaches: Approach A based on moles of Na2CO3 gives mass of solution = 33.50 g, q = 560.12 J, n(Na2CO3) = 0.01858 mol, ΔH2 = -30.138 kJ mol⁻¹ (or -30.1 kJ mol⁻¹), and ΔH1 = 2 × ΔH3 - ΔH2 = +69.7 kJ mol⁻¹. Approach B based on moles of HNO3 gives ΔH2 = -37.34 kJ mol⁻¹ and ΔH1 = +76.94 kJ mol⁻¹.

Question Answer Marks Guidance

6 Please refer to the marking instructions on page 5 of this mark scheme 6 TWO APPROACHES: from n(Na2CO3) and from n(HNO3)

* for guidance on how to mark this question.

Level 3 (5–6 marks) SEE NEXT DOUBLE PAGE FOR GUIDANCE.

Calculates CORRECT enthalpy change ∆H2 using m = 33.5 g

in reaction 6.2. PAGE 16 NEEDS ‘SEEN’

AND

CORRECT enthalpy change ∆H1 in reaction 6.1

There is a well-developed line of reasoning which is clear and logically ALLOW omission of trailing zeroes

structured. ALLOW minor slips

The information presented is relevant and substantiated.

3 SF or more throughout

Level 2 (3–4 marks)

Using m = 30 – 33.5 g, c = 4.18/4.2 and ∆T = 4 calculates a value

for energy change per mole of Na2CO3 OR energy change per

mole of HNO3

AND

the CORRECT amount in mol of Na2CO3 OR HNO3

There is a line of reasoning presented with some structure.

The information presented is relevant and supported by some evidence.

Level 1 (1–2 marks)

Processes experimental data to obtain:

Calculates energy change correctly from mc∆T

OR

Attempts to calculate energy change from mc∆T

with two of m (30–33.5g), c (4.18/4.2) and ∆T (4) correct

AND amount in mol of Na2CO3 OR HNO3

There is an attempt at a logical structure with a line of reasoning.

The information is in the most part relevant.

0 marks – No response or no response worthy of credit.

Guidance Guidance

A: APPROACH based on n(Na2CO3) B: APPROACH using n(HNO3)

Indicative scientific points may include: Indicative scientific points may include:

1. Energy change from mcΔT 1. Energy change from mcΔT

33.50 × 4.18 × 4.0 = 560.12 (J) OR 0.56012 (kJ) 33.50 × 4.18 × 4.0 = 560.12 (J) OR 0.56012 (kJ)

OR 30.0 – 33.15, e.g. OR 30.0 – 33.15, e.g.

30 × 4.18 × 4.0 = 501.6 (J) OR 0.5016 (kJ) 30 × 4.18 × 4.0 = 501.6 (J) OR 0.5016 (kJ)

---------------------------------------------------- ----------------------------------------------------

Amount of Na2CO3 Amount of HNO3 and the Na2CO3

1.97 1.00 30.0

n(Na2CO3) = 106 = 0.01858…. (mol) n(HNO3) = = 0.0300 (mol)

1000

Amount of Na2CO3

0.0300

n(Na2CO3) = 2 = 0.0150 (mol)

---------------------------------------------- ----------------------------------------------

2. Energy change per mole of Na CO in kJ mol–1 –1

23 2. Energy change per mole of Na2CO3 in kJ mol

0.56012 0.56012

From m = 33.50 g = ± 0.01858…. = ±30.138… From m = 33.50 g = ± = ± 37.34

0.0150

ALLOW 30.11 → 30.15 0.5016

0.5016 From m = 30 g = ± = ±33.44

0.0150

From m = 30 g = ± = ±26.9896…

0.01858…. ** Some may calculate energy change per mole of HNO3

ALLOW ±27.0 OR ±26.9 giving:

0.56012 0.5016

--------------------------------------------- ± 0.0300 = ± 18.67 and ± 0.0300 = ± 16.67

3. ∆H2 and ∆H1 CORRECT with signs (From 33.50 ONLY) ----------------------------------------------

3. ∆H2 and ∆H1 CORRECT with signs (From 33.50 ONLY)

Reaction 6.2: ∆H = –30.138 (kJ mol–1)

ALLOW –30.11 → –30.15 Reaction 6.2: ∆H = –37.34 (kJ mol–1)

Reaction 6.1

∆H1 = 2 ∆H3 – ∆H2 Reaction 6.1

= 2 19.8 – (–30.138….) = ∆H = (+)69.7 (kJ mol–1)

1 ∆H1 = 2 ∆H3 – ∆H2

= 2 19.8 – (–37.34) ∆H = (+)76.94 (kJ mol–1)

NOTE: A clear and logically structured response might include an NOTE: A clear and logically structured response might include

energy cycle and accurate use of SF, 4.18 and signs throughout an energy cycle and accurate use of SF, 4.18 and signs

throughout

How to answer it

Calorimetry & Indirect Enthalpy Determination via Hess's Law

📌 What This Question Tests

This 6-mark Level of Response question assesses experimental data processing, thermochemical calculations, and synthetic problem solving:

  • Calorimetry calculation: Extracting temperature changes and mass values to compute energy released using q = mcΔT .
  • Stoichiometry & Enthalpy of reaction: Calculating moles of reactant added and finding the molar enthalpy change ΔH including the correct sign convention.
  • Hess's Law cycle: Designing an indirect thermochemical cycle linking an unmeasurable thermal decomposition with neutralization data.
  • Algebraic Hess manipulation: Correctly accounting for stoichiometric coefficients (e.g. 2 mol of NaHCO₃) and negative signs.

Question 6* Breakdown & Analysis (6 Marks)

Level of Response: Experimental Data Processing to Hess's Law Determination

📐 Step-by-Step Calculation (Standard Approach)

Step 1: Process experimental masses and temperature

  • Mass of Na₂CO₃ added = 3.26 g - 1.29 g = 1.97 g
  • Mass of final solution ( m ) = 54.58 g - 21.08 g = 33.50 g
  • Temperature change ( ΔT ) = 24.0 °C - 20.0 °C = +4.0 °C

Step 2: Calculate heat energy released ( q )

  • q = m × c × ΔT
  • q = 33.50 g × 4.18 J g⁻¹ K⁻¹ × 4.0 K = 560.12 J
  • q = 0.56012 kJ

Step 3: Moles and enthalpy change of Reaction 6.2 ( ΔH₂ )

  • Molar mass of Na₂CO₃ = (23.0 × 2) + 12.0 + (16.0 × 3) = 106.0 g mol⁻¹
  • n(Na₂CO₃) = 1.97 / 106.0 = 0.018585... mol
  • Since temperature rose, Reaction 6.2 is exothermic:
    ΔH₂ = - q / n = - 0.56012 / 0.018585 = -30.14 kJ mol⁻¹
    (Allow -30.11 to -30.15 kJ mol⁻¹)

Step 4: Hess's Law Cycle & Calculation of ΔH₁

  • From cycle: ΔH₁ = 2(ΔH₃) - ΔH₂
  • ΔH₁ = 2 × (+19.8) - (-30.138)
  • ΔH₁ = +39.6 + 30.138 = +69.7 kJ mol⁻¹ (3 sig figs)

💡 The Enthalpy Cycle Diagram

You must sketch an energy cycle showing how the reactions connect:

2NaHCO₃(s)  ────── ΔH₁ ──────►  Na₂CO₃(s) + H₂O(l) + CO₂(g)
      │                                                     │
+ 2HNO₃(aq)                                         + 2HNO₃(aq)
2 × ΔH₃                                             ΔH₂
      ▼                                                     ▼
└────────► 2NaNO₃(aq) + 2H₂O(l) + 2CO₂(g) ◄────────┘

Applying Hess's Law:

Clockwise route = Counter-clockwise route

2 × ΔH₃ = ΔH₁ + ΔH₂

Rearranging for the target reaction:

ΔH₁ = 2(ΔH₃) - ΔH₂

✅ Level 3 Model Response (6 Marks)

1. Processing experimental data:

Mass of Na₂CO₃ = 3.26 - 1.29 = 1.97 g

Mass of solution = 54.58 - 21.08 = 33.50 g

ΔT = 24.0 - 20.0 = +4.0 °C

2. Energy and enthalpy for Reaction 6.2:

q = 33.50 × 4.18 × 4.0 = 560.12 J = 0.56012 kJ

n(Na₂CO₃) = 1.97 / 106.0 = 0.018585 mol

ΔH₂ = - (0.56012 / 0.018585) = -30.1 kJ mol⁻¹

3. Enthalpy cycle determination for Reaction 6.1:

Using Hess's cycle linking both reactions with aqueous nitric acid:

ΔH₁ = 2(ΔH₃) - ΔH₂

ΔH₁ = 2(+19.8) - (-30.14) = +39.6 + 30.14

ΔH₁ = +69.7 kJ mol⁻¹

Mark Scheme Level 3 Descriptor: Correct calculation of ΔH₂ using m = 33.5 g (-30.1 kJ mol⁻¹) AND correct calculation of ΔH₁ (+69.7 kJ mol⁻¹), supported by a clearly structured line of reasoning with complete Hess cycle diagram.

❌ Common Calculation Traps

  • Wrong mass in q = mcΔT: Many candidates use 30 g (volume of acid) or 1.97 g (mass of solid). The question provides the mass of the cup with final solution (54.58 g) and empty cup (21.08 g), meaning the actual solution mass is 54.58 - 21.08 = 33.50 g .
  • Missing the negative sign on ΔH₂: The temperature increased from 20.0 °C to 24.0 °C (exothermic reaction). Hence, ΔH₂ must carry a negative sign ( -30.1 kJ mol⁻¹ ).
  • Forgetting to multiply ΔH₃ by 2: Reaction 6.1 has 2 NaHCO₃ on the left side, whereas Reaction 6.3 is written for 1 NaHCO₃ . You must double ΔH₃ in your Hess calculation.
  • Double-negative sign error: Subtracting an exothermic ΔH₂ means subtracting a negative number: +39.6 - (-30.1) = +39.6 + 30.1 = +69.7 kJ mol⁻¹ .

🧠 Top Examiner Tips for Level of Response Questions

  • State units and signs explicitly: Never leave an enthalpy change unsigned. Write +69.7 kJ mol⁻¹ , not just 69.7.
  • Always sketch the Hess's Law cycle: Even if your final math slips, having a clearly drawn, labeled cycle often secures Level 2 marks (3-4 marks).
  • Check what's in the cup: When mass of solution is weighed by difference, use that weighed mass (33.50 g) rather than assuming 30 cm³ = 30 g. (Note: using 30 g is credited as an alternative approach in the mark scheme, but yields ΔH₁ = +66.6 kJ mol⁻¹ and caps precision).
  • Alternative approach (HNO₃ limiting): If a student assumes HNO₃ was limiting ( 0.0300 mol HNO₃ reacting with 0.0150 mol Na₂CO₃ ), ΔH₂ becomes -37.34 kJ mol⁻¹ and ΔH₁ becomes +76.9 kJ mol⁻¹ , which is also awarded full credit if logically reasoned.

Topics

Module 1: Development of practical skills in chemistry · Module 2: Foundations in chemistry · Module 3: Periodic table and energy · Practical Activity Groups · 1.1 Practical skills assessed in a written examination · 2.1 Atoms and reactions · 3.2 Physical chemistry · PAG 3: Enthalpy determination

Question and mark scheme from the OCR A-Level Chemistry examination, Unified chemistry (03), June 2025. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.