OCR A-Level Chemistry Unified chemistry (03), June 2017: Question 2

14 marks · Hard difficulty · Structured Questions

Calculate the enthalpy change for the reaction of sodium oxide with water and apply Hess's Law, calculate percentage uncertainties in calorimetric measurements, suggest experimental improvements, name inorganic compounds systematically, determine oxidation numbers in a redox reaction, and construct a balanced chemical equation.

Practise this question

Question

An exam question with multiple parts regarding an enthalpy determination experiment of Na2O, calculation of enthalpy changes using Hess's Law, percentage uncertainty calculations, experimental improvements, systematic naming of NaNO2, oxidation number changes, and equation construction.
Question text

2 A student plans to determine the enthalpy change of reaction 3.1 shown below.

Na2O(s) + 2HCl(aq) 2NaCl(aq) + H2O(l) reaction 3.1

This enthalpy change can be determined indirectly using Hess’ Law from the enthalpy changes of

reaction 3.2 and reaction 3.3 shown below.

Na2O(s) + H2O(l) 2NaOH(aq) reaction 3.2

HCl(aq) + NaOH(aq) NaCl(aq) + H O(l) ∆ H = −57.6 kJ mol−1 reaction 3.3

2 r

The student will determine the enthalpy change of reaction 3.2 as outlined below.

• Weigh a bottle containing Na2O(s) and weigh a polystyrene cup.

• Add about 25 cm3 of water to the polystyrene cup and measure its temperature.

• Add the Na2O(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 + Na2O(s) = 16.58 g

Mass of empty bottle = 15.34 g

Mass of empty polystyrene cup = 21.58 g

Mass of polystyrene cup + final solution = 47.33 g

Temperature readings

Initial temperature of water = 20.5 °C

Maximum temperature of final solution = 55.5 °C

The density and specific heat capacity, c, of the solution are the same as for water.

(a)* Calculate the enthalpy change of reaction 3.2 and the enthalpy change of reaction 3.1.

Show all your working.

… [6]

(b) The uncertainty in each temperature reading is ±0.1 °C.

The uncertainty in each mass reading is ±0.005 g.

Determine whether the mass of Na2O or the temperature change has the greater percentage

uncertainty.

Show all your working.

… [2]

(c) Suggest a modification to this experiment, using the same apparatus, which would reduce

the percentage errors in the measurements.

Explain your reasoning.

… [2]

(d) Sodium oxide, Na2O, can be prepared by the redox reaction of NaNO2 and sodium metal.

Nitrogen gas is also formed.

(i) What is the systematic name for NaNO2?

… [1]

(ii) Using oxidation numbers, with signs, show the element that is oxidised and the element

that is reduced in this reaction.

Element oxidised …

Oxidation number change from … to …

Element reduced …

Oxidation number change from … to …

[2]

(iii) Construct the equation for this reaction.

Equation … [1]

Mark scheme

Show the mark scheme The mark scheme providing detailed calculation steps for enthalpy changes using q=mcT and Hess's Law, percentage uncertainty markings for mass and temperature, evaluation points for reducing percentage error, systematic naming as sodium nitrate(III) or sodium nitrite, redox oxidation number changes, and the balanced equation for the reaction.

Question Answer Marks Guidance

2 (a) Please refer to the marking instructions on page 5 of this 6 Indicative scientific points may include:

mark scheme for guidance on how to mark this question. 1. Masses and ∆T from raw results

Level 3 (5–6 marks) m(Na2O) = 1.24 (g)

A comprehensive conclusion, using all quantitative data, to m(solution) = 25.75 (g)

calculate the energy change and ∆H values for reactions ∆T = 35.0 (ºC)

3.1 and 3.2

AND linking ∆H data using Hess’ Law Energy change from mc∆T

energy released in J OR kJ

There is a well-developed line of reasoning which is clear = 25.75 × 4.18 × 35.0

and logically structured. The working throughout is clearly = 3767 (J) OR 3.767 (kJ)

shown. All values calculated with reasonable numbers of (3.767225 unrounded)

SF and correct signs mostly shown, allowing for ECF. ----------------------------------------------

2. ∆rH for reaction 3.2

Level 2 (3–4 marks) 1.24

Attempts to describe all three scientific points but n(Na2O) = 62.0 = 0.0200 (mol)

explanations may be incomplete. 3767

∆ H value – = –188 (kJ mol–1)

OR Explains two scientific points thoroughly with few r 0.0200

omissions. (–188.36125 unrounded)

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

There is a line of reasoning with some logical structure. 3. ∆ H for reaction 3.1

r

There may be minor errors in energy change and errors in

∆H value for reaction 3.1 clearly linked to ∆H

the calculations of ∆H for reaction 3.1 or reaction 3.2. for reaction 3.2 and reaction 3.3 in energy

cycle or an expression:

Level 1 (1–2 marks)

∆H(3.1) = ∆H(3.2) + 2∆H(3.3)

Processes raw mass and temperature data and obtains a

∆H(3.1) = –188 + (2 –57.6)

calculated value for the energy change using mc∆T –1

= –188 – 115.2 = –303(.2) (kJ mol )

OR attempts to obtain values for two scientific points but

(–303.56125 unrounded)

explanations may be incomplete

Note

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

Throughout, ALLOW ECF from previous value

reasoning to obtain a value for energy change. There may

ALLOW omission of trailing zeroes

be minor errors in calculation of energy change.

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

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

Question Answer 9 Marks Guidance

(b) % uncertainties to at least 1 SF, rounded or truncated 2 ALLOW error for uncertainty

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

ONE correct % uncertainty ALLOW ECF from mass and ∆T in 2(a)

BOTH correct % uncertainties IGNORE % uncertainty of mass of solution

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

0.005 × 2 ALLOW one mark for:

mass: 1.24 100 = 0.8/0.81 OR 0.80 (truncated)

2 calculations with both 2 factors missing

0.1 × 2 i.e. mass 0.3% AND ∆T 0.4%

∆T: 35.0 100 = 0.6 / 0.57 (%)

Not converting to %s using 2 factors

Calculator values: i.e. 0.008 AND 0.006

mass: 0.8064516129

∆T: 0.5714285714

(c) ALLOW uncertainty OR error throughout 2 ALLOW up to 2 marks based on a single mass

measurement:

Greater mass of Na2O OR more Na2O one mass measurement

For mass, ALLOW amount/moles/quantity OR measure mass directly

e.g. tare balance

larger ∆T % uncertainty reduced by half

OR reduces % uncertainty in ∆T ------------------------------------------------------------

IGNORE

repeat and take average

read to more figures (same apparatus)

increase volume

(reduces mass error but increases ∆T error)

use a cooling curve

use a lid

(d) (i) sodium nitrate(III) 1 ALLOW sodium nitrite OR sodium nitrite(III)

(d) (ii) Sodium/Na oxidised from 0 to +1 2 ALLOW 1+ for +1 and 3+ for +3

Nitrogen/N reduced from +3 to 0 ALLOW N2 for nitrogen

ALLOW 1 mark for elements AND all oxidation

numbers correct, but N on oxidised line and Na

on reduced line

‘+’ is required in +3 and +1 oxidation numbers

(d) (iii 2NaNO2 + 6Na 4Na2O + N2 1 ALLOW multiples, e.g.

) NaNO2 + 3Na 2Na2O + ½N2

IGNORE state symbols

Total 14

How to answer it

Calorimetry, Hess' Law Cycles, and Redox Chemistry

What this question tests

This multi-step question assesses core physical and inorganic chemistry skills: processing raw mass and temperature calorimetry data to calculate enthalpy changes (q = mcΔT), applying Hess' Law to determine indirect enthalpy changes, calculating percentage uncertainties in apparatus readings, suggesting valid experimental improvements, naming inorganic compounds using systematic nomenclature (oxidation states), assigning oxidation numbers to identify species oxidised and reduced, and balancing redox equations.

Part (a) — Enthalpy Calculations via Calorimetry and Hess' Law

Calculating Enthalpy Changes of Reaction 3.2 and 3.1

📐 Step 1: Process Raw Data

  • Mass of Na₂O = 16.58 - 15.34 = 1.24 g
  • Mass of solution = 47.33 - 21.58 = 25.75 g
  • Temperature change (ΔT) = 55.5 - 20.5 = 35.0 °C

📐 Step 2: Energy Change for Reaction 3.2

  • Use q = mcΔT
  • q = 25.75 × 4.18 × 35.0 = 3767 J = 3.767 kJ
  • Moles of Na₂O = 1.24 / 62.0 = 0.0200 mol
  • ΔH (Reaction 3.2) = -3.767 / 0.0200 = -188 kJ mol⁻¹

📐 Step 3: Hess' Law Cycle for Reaction 3.1

  • Target equation: Na₂O(s) + 2HCl(aq) → 2NaCl(aq) + H₂O(l)
  • Related equations:
    • Rxn 3.2: Na₂O(s) + H₂O(l) → 2NaOH(aq)
    • Rxn 3.3: HCl(aq) + NaOH(aq) → NaCl(aq) + H₂O(l) (ΔH = -57.6 kJ mol⁻¹)
  • Apply Hess' Law: ΔH(3.1) = ΔH(3.2) + 2 × ΔH(3.3)
  • ΔH(3.1) = -188 + (2 × -57.6) = -303 kJ mol⁻¹

❌ Common Calculation Traps

  • Using the mass of Na₂O (1.24 g) instead of the total mass of the solution (25.75 g) in q = mcΔT .
  • Forgetting to multiply the enthalpy change of reaction 3.3 by 2 (stoichiometric factor of 2HCl and 2NaOH).
  • Omitting the negative sign on exothermic enthalpy values.
Mark scheme allocation: Level 3 (5–6 marks) requires full quantitative processing of calorimetry data and accurate Hess' Law application.
Part (b) — Percentage Uncertainties

Comparing Uncertainties of Mass and Temperature

✅ Correct Answer & Calculation

  • Remember to account for two readings (initial and final) for both measurements, multiplying the given uncertainty by 2!
  • % uncertainty in mass = (0.005 × 2) / 1.24 × 100 = 0.81%
  • % uncertainty in temperature = (0.1 × 2) / 35.0 × 100 = 0.57%
  • Conclusion: The mass of Na₂O has the greater percentage uncertainty (0.81% > 0.57%).

🧠 Exam Technique

  • Always state your final comparison clearly after calculating both values. Examiners look for a direct, explicit statement of which value is larger.
  • Ensure you evaluate uncertainties to at least 1 significant figure.
Mark scheme allocation: 2 marks total (1 mark for correct calculation of both % uncertainties, 1 mark for the correct final determination/comparison).
Part (c) — Experimental Improvements

Reducing Percentage Errors Using the Same Apparatus

💡 Valid Modifications

  • Use a greater mass / amount of Na₂O (or a larger quantity of solid).
  • Reasoning: A larger mass increases the temperature change (ΔT) while the absolute uncertainty of the thermometer remains fixed, thereby reducing the percentage error in temperature. Alternatively, it increases the mass measured, reducing the percentage error in weighing.

❌ Common Student Errors

  • Suggesting apparatus changes (e.g., "use a 3-decimal place balance" or "use a more sensitive thermometer") — the question specifically states using the same apparatus.
  • Vague answers like "repeat and take an average" which do not directly reduce the percentage error of a single set of measurements.
Mark scheme allocation: 2 marks (1 mark for stating a larger mass/amount of solid, 1 mark for linking it to a larger temperature change or reduced percentage uncertainty).
Part (d) — Inorganic & Redox Chemistry

Systematic Nomenclature, Oxidation Numbers, and Equation Balancing

✅ (i) Systematic Name for NaNO₂

sodium nitrate(III) (Accept: sodium nitrite or sodium nitrite(III))

✅ (ii) Oxidation Numbers and Changes

  • Element oxidised: Sodium / Na
  • Oxidation number change: from 0 to +1
  • Element reduced: Nitrogen / N
  • Oxidation number change: from +3 to 0

✅ (iii) Balanced Redox Equation

2NaNO₂ + 6Na → 4Na₂O + N₂

(Multiples such as halves are also accepted by the mark scheme).

🧠 Top-Level Tips for Redox

  • Always include explicit charge signs for oxidation states (e.g., +1 , not just 1 ).
  • Check element atom balance before balancing coefficients for complex redox equations.
Mark scheme allocation: (i) 1 mark | (ii) 2 marks | (iii) 1 mark. Total for (d): 4 marks.

Topics

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

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.