CIE iGCSE Co-Ordinated Science C3.2 Relative masses of atoms and molecules Exam Style Questions Paper 4
Question


Most-appropriate topic codes (Cambridge IGCSE Co-ordinated Sciences 0654):
• Topic C9.6 — Extraction of metals / Blast furnace (Part (a))
• Topic C9.3 — Alloys and their properties (Part (b)(i), (b)(ii) & (b)(iii))
• Topic C6.1 — Physical and chemical changes / Thermal decomposition (Part (c)(i))
• Topic C3.2 — Relative masses / Stoichiometry (Part (c)(ii))
• Topic C2.6 — Giant covalent structures (Part (c)(iii))
▶️ Answer/Explanation
(a) \( \text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2 \)
(b)(i) Pure iron is an element because it is made of only one type of atom. Iron from the blast furnace is a mixture because it contains two elements (iron and carbon/silicon) that are not chemically combined.
(b)(ii) Iron from the blast furnace is harder because the atoms are different sizes, which prevents the layers of atoms from sliding over each other (unlike in pure iron where all atoms are the same size).
(b)(iii) Pure iron is malleable because layers of atoms can slide / move / slip over each other when a force is applied.
(c)(i) Thermal decomposition
(c)(ii) Mass of CaO = 672 tonnes
(c)(iii) Giant covalent
Question
Most-appropriate topic codes (Cambridge IGCSE Co-ordinated Sciences 0654):
• Topic C3.1 — Formulas (Part (a))
• Topic C12.5 — Qualitative analysis (Part (b)(i), (b)(ii))
• Topic C6.3 — Redox (Part (c)(i))
• Topic C3.2 — Relative masses of atoms and molecules (Part (c)(ii))
• Topic C9.6 — Extraction of metals (Part (c)(i), (c)(ii))
▶️ Answer/Explanation
(a) \( \text{Fe}_2(\text{SO}_4)_3 \)
Iron(III) ions have a charge of \( 3+ \) (\( \text{Fe}^{3+} \)) and sulfate ions have a charge of \( 2- \) (\( \text{SO}_4^{2-} \)). To form a neutral compound, the total positive charge must balance the total negative charge. The lowest common multiple of 3 and 2 is 6. Therefore, we need 2 iron(III) ions (total charge \( 2 \times 3+ = 6+ \)) and 3 sulfate ions (total charge \( 3 \times 2- = 6- \)). Hence, the formula is \( \text{Fe}_2(\text{SO}_4)_3 \).
(b)(i) Red-brown.
When aqueous sodium hydroxide is added to a solution containing iron(III) ions, a red-brown precipitate of iron(III) hydroxide is formed. This is a characteristic test for \( \text{Fe}^{3+} \) ions.
(b)(ii) \( \text{Fe}^{3+}(\text{aq}) + 3\text{OH}^-(\text{aq}) \rightarrow \text{Fe(OH)}_3(\text{s}) \)
The ionic equation shows only the ions that participate in the reaction. The \( \text{Fe}^{3+} \) ions from the iron(III) sulfate solution react with \( \text{OH}^- \) ions from the sodium hydroxide solution to form solid iron(III) hydroxide precipitate. The sodium and sulfate ions are spectator ions and are not included in the ionic equation. The state symbols are (aq) for aqueous ions and (s) for the solid precipitate.
(c)(i) Iron(III) oxide is reduced because it loses oxygen / \( \text{Fe}_2\text{O}_3 \) loses oxygen.
In the blast furnace reaction, iron(III) oxide (\( \text{Fe}_2\text{O}_3 \)) is converted to iron (\( \text{Fe} \)). The iron(III) oxide loses oxygen atoms (it is reduced from \( \text{Fe}_2\text{O}_3 \) to \( \text{Fe} \)). Loss of oxygen is reduction. Carbon monoxide (\( \text{CO} \)) gains oxygen to become carbon dioxide (\( \text{CO}_2 \)), so carbon monoxide is oxidised. This is a redox reaction where reduction and oxidation occur simultaneously.
(c)(ii) Minimum mass of iron(III) oxide required = 40,000 g
Calculation steps:
- \( M_r \) of \( \text{Fe}_2\text{O}_3 = (2 \times 56) + (3 \times 16) = 112 + 48 = 160 \)
- From the equation, \( 2 \text{Fe} \) atoms are produced from 1 \( \text{Fe}_2\text{O}_3 \) molecule.
- Mass of Fe produced from 160 g of \( \text{Fe}_2\text{O}_3 = 112 \text{g} \)
- Mass of \( \text{Fe}_2\text{O}_3 \) required = \( \frac{160}{112} \times 28000 = 40,000 \text{g} \)
OR using moles:
- Moles of Fe = \( 28000 \div 56 = 500 \) moles
- Mole ratio \( \text{Fe}_2\text{O}_3 : \text{Fe} = 1 : 2 \)
- Moles of \( \text{Fe}_2\text{O}_3 = 500 \div 2 = 250 \) moles
- Mass of \( \text{Fe}_2\text{O}_3 = 250 \times 160 = 40,000 \text{g} \)
