Edexcel A-Level Chemistry Paper 2, June 2017: Question 4

6 marks · Medium difficulty · Calculations

Calculate the mass of nitrogen gas in a car tyre using the ideal gas equation and explain atomic radius trends between nitrogen and oxygen.

Practise this question

Question

Exam question 4 about nitrogen gas in car tyres. Part (a)(i) asks to calculate the mass of nitrogen gas in grams present in a car tyre with volume 8.98 dm3, pressure 207 kPa at 20 degrees Celsius using the Ideal Gas Equation (3 marks). Part (a)(ii) asks to deduce the effect of temperature increase on pressure (1 mark). Part (b) asks to explain why a nitrogen atom is larger than an oxygen atom (2 marks). Total for question 4 is 6 marks.
Question text

4 Traditionally, high-flying aircraft and Formula 1 racing cars have had their tyres

inflated with nitrogen gas instead of air. Recently, this practice has been extended to

some other cars.

(a) A car tyre is filled with nitrogen gas to a volume of 8.98 dm3 and a pressure of

207 kPa at 20 °C.

(i) Using the Ideal Gas Equation, calculate the mass of nitrogen gas, in grams,

present in the car tyre under these conditions. Give your answer to an

appropriate number of significant figures.

(3)

(ii) During a car journey, the tyres become warm. Use the Ideal Gas Equation to

deduce the effect that this has on the pressure in the tyres.

(1)

(b) One reason for the use of nitrogen gas in car tyres is that less gas is lost from the

tyres during use because nitrogen molecules are larger than oxygen molecules.

A suggested explanation for this is that nitrogen atoms are larger than oxygen atoms.

Explain why a nitrogen atom is larger than an oxygen atom.

(2)

(Total for Question 4 = 6 marks)

Mark scheme

Show the mark scheme Mark scheme for question 4. Part 4(a)(i) awards 3 marks for unit conversions, rearranging pV=nRT to find n, and converting moles to mass with correct significant figures. Part 4(a)(ii) awards 1 mark for stating pressure increases as it is proportional to temperature. Part 4(b) awards 2 marks for stating nitrogen has fewer protons and thus weaker nuclear attraction with the same shielding.

Question

Answer Additional Guidance Mark

Number

4(a)(i) Example of calculation: (3)

conversion of pressure, volume and temperature to correct 207kPa = 207 000 Pa

units (1) 8.98 dm3 = 0.00898 m3,

20°C = 293 K

rearrangement of ideal gas equation so n=PV ÷ RT and n= 207 000 x 0.00898 =

calculation of n (1) 8.31 x 293

= 0.7634…

conversion of answer into mass to 2/3 SF (1) = 0.7634…. x 28 = 21.37647..

= 21.4 / 21 (g)

Correct answer with no working

scores 3

TE on both parts of the calculation

Question

Answer Additional Guidance Mark

Number

4(a)(ii) The temperature increase will result in an increase in Allow p ∝ T (1)

pressure because p is (directly) proportional to T Reference to p=nRT/V

(at constant volume and moles of gas)

Question

Answer Additional Guidance Mark

Number

4(b) An explanation that makes reference to the following points: Reference to molecule scores (0) (2)

fewer protons (in nitrogen) (1) Accept reverse arguments in

terms of oxygen

Allow

weaker (effective) nuclear charge

Allow smaller atomic number

result in a weaker nuclear attraction because shielding is the Do not award if incorrect numbers

same/electrons are in the same (sub)shell (in oxygen)/same of protons stated or if ions

number of electron shells (1) referred to

Do not award ‘charge density’

Ignore references to electron

repulsion and electronegativity

(Total for Question 4 = 6 marks)

How to answer it

Ideal Gas Equations & Periodic Trends Study Guide

What this question tests

This question assesses your ability to apply the Ideal Gas Equation (PV = nRT) with strict unit conversions, evaluate proportional relationships in gases, and explain periodic atomic radius trends using nuclear charge and electron shielding.

Question 4(a)(i) - Ideal Gas Calculation

Using the Ideal Gas Equation to find mass (3 marks)

✅ Correct Answer

  • Moles: n = 0.7634... mol
  • Mass: 21.4 g or 21 g

💡 Key Knowledge

  • Ideal Gas Equation: PV = nRT
  • Standard SI units are mandatory: Pressure in Pascals (Pa), Volume in cubic metres (m³), Temperature in Kelvin (K).
  • Molar mass of N₂ = 28.0 g mol⁻¹

🧠 Exam Technique

  • Step 1: Convert units carefully ( kPa to Pa × 10³, dm³ to m³ × 10⁻³, °C to K + 273).
  • Step 2: Rearrange to n = PV / RT and calculate moles.
  • Step 3: Multiply moles by molar mass and round to 2 or 3 significant figures.

❌ Common Errors

  • Forgetting to convert dm³ to m³ (losing a factor of 10⁻³).
  • Using Celsius instead of Kelvin ( 20°C used as 20 instead of 293 K).
  • Using atomic nitrogen mass ( 14.0 ) instead of molecular nitrogen ( 28.0 ).
Mark Breakdown: 1 mark for unit conversions | 1 mark for rearranging PV = nRT and calculating moles | 1 mark for converting moles to mass and giving answer to 2/3 SF.

Question 4(a)(ii) - Proportionality in Gases

Deducing the effect of temperature on pressure (1 mark)

✅ Correct Answer

The pressure in the tyres increases.

💡 Key Knowledge

  • Pressure is directly proportional to temperature at constant volume and moles ( p ∝ T or p = nRT / V ).
  • As a car drives, friction warms the tyre, increasing the kinetic energy and velocity of gas molecules.

🧠 Exam Technique

Keep your answer direct and concise. State clearly that pressure increases and reference either p ∝ T or the ideal gas equation rearranged for pressure.

❌ Common Errors

Stating that volume changes instead. Remember, a car tyre has a relatively fixed rigid volume, so volume cannot expand freely like a balloon.

Mark Breakdown: 1 mark for stating pressure increases with reference to temperature (e.g., p ∝ T or p = nRT / V ).

Question 4(b) - Periodic Trends

Explaining atomic radius differences across atoms (2 marks)

✅ Correct Answer

  • Nitrogen has fewer protons than oxygen (lower nuclear charge).
  • This results in a weaker nuclear attraction on outer electrons, whilst shielding remains the same (same number of electron shells).

💡 Key Knowledge

  • Atomic radius depends on two main factors across a period: nuclear charge (proton number) and shielding.
  • Nitrogen (atomic number 7) vs Oxygen (atomic number 8) both occupy the n = 2 principal quantum shell, meaning inner electron shielding is identical.

🧠 Exam Technique

Always structure period trend explanations using the two-part formula: 1) Compare nuclear charge / proton number. 2) State shielding is constant, leading to stronger/weaker electrostatic attraction on outer electrons.

❌ Common Errors

  • Critical trap: Referring to nitrogen and oxygen as molecules instead of atoms scores 0 marks.
  • Vagueness like "oxygen has more electrons" without mentioning protons or nuclear attraction.
  • Mentioning "charge density" or "electronegativity" which are irrelevant to basic atomic radius size explanations here.
Mark Breakdown: 1 mark for fewer protons / lower nuclear charge in nitrogen | 1 mark for weaker nuclear attraction because shielding is the same (same number of shells).

Topics

Physical Chemistry · Inorganic Chemistry · Topic 5: Formulae, Equations and Amounts of Substance · Topic 1: Atomic Structure and the Periodic Table

Question and mark scheme from the Edexcel A-Level Chemistry examination, Paper 2, June 2017. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.