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A Level Chemistry H3 Stoichiometry Moles Quiz
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A-Level Chemistry H3 Quiz - Stoichiometry Moles - Answer Key
Total Marks: 50
Section A: Multiple Choice Questions (15 marks)
1. A. CH Marks: 3 Explanation:
- Moles of CO₂ = 0.785 g / 44.0 g mol⁻¹ = 0.01784 mol
- Moles of C in sample = 0.01784 mol (since 1 mol CO₂ contains 1 mol C)
- Mass of C = 0.01784 mol × 12.0 g mol⁻¹ = 0.2141 g
- Moles of H₂O = 0.321 g / 18.0 g mol⁻¹ = 0.01783 mol
- Moles of H in sample = 2 × 0.01783 mol = 0.03566 mol (since 1 mol H₂O contains 2 mol H)
- Mass of H = 0.03566 mol × 1.0 g mol⁻¹ = 0.03566 g
- Check: 0.2141 g + 0.03566 g = 0.2498 g ≈ 0.250 g (confirms no oxygen)
- Mole ratio C : H = 0.01784 : 0.03566 ≈ 1 : 2
- Empirical formula = CH₂ Common mistake: Forgetting to multiply moles of H₂O by 2 to get moles of H.
2. D. 0.200 Marks: 3 Explanation:
- Molar mass Na₂CO₃ = (2×23.0) + 12.0 + (3×16.0) = 106.0 g mol⁻¹
- Moles Na₂CO₃ = 2.65 g / 106.0 g mol⁻¹ = 0.0250 mol
- Concentration Na₂CO₃ = 0.0250 mol / 0.250 dm³ = 0.100 mol dm⁻³
- [Na⁺] = 2 × 0.100 mol dm⁻³ = 0.200 mol dm⁻³ (since each Na₂CO₃ gives 2 Na⁺) Common mistake: Forgetting to multiply by 2 for the sodium ion concentration.
3. B. 0.1225 Marks: 3 Explanation:
- Moles KMnO₄ = 0.0200 mol dm⁻³ × (24.50/1000) dm³ = 4.90 × 10⁻⁴ mol
- From equation: 2 mol MnO₄⁻ reacts with 5 mol H₂O₂
- Moles H₂O₂ = (5/2) × 4.90 × 10⁻⁴ mol = 1.225 × 10⁻³ mol
- Concentration H₂O₂ = 1.225 × 10⁻³ mol / (10.0/1000) dm³ = 0.1225 mol dm⁻³ Common mistake: Using the wrong stoichiometric ratio (e.g., 2/5 instead of 5/2).
4. B. C₂H₄O₂ Marks: 3 Explanation:
- Assume 100 g sample: C = 40.0 g, H = 6.67 g, O = 53.3 g
- Moles C = 40.0/12.0 = 3.33 mol; H = 6.67/1.0 = 6.67 mol; O = 53.3/16.0 = 3.33 mol
- Ratio C : H : O = 3.33 : 6.67 : 3.33 = 1 : 2 : 1
- Empirical formula = CH₂O, empirical mass = 30.0
- n = 60.0 / 30.0 = 2
- Molecular formula = (CH₂O)₂ = C₂H₄O₂ Common mistake: Not calculating the empirical formula mass correctly or forgetting to multiply by n.
5. A. 0.717 g Marks: 3 Explanation:
- Moles AgNO₃ = 0.100 mol dm⁻³ × (50.0/1000) dm³ = 5.00 × 10⁻³ mol
- Moles NaCl = 0.200 mol dm⁻³ × (30.0/1000) dm³ = 6.00 × 10⁻³ mol
- AgNO₃(aq) + NaCl(aq) → AgCl(s) + NaNO₃(aq)
- AgNO₃ is the limiting reagent (5.00 × 10⁻³ mol < 6.00 × 10⁻³ mol)
- Moles AgCl = 5.00 × 10⁻³ mol
- Mass AgCl = 5.00 × 10⁻³ mol × (107.9 + 35.5) g mol⁻¹ = 5.00 × 10⁻³ × 143.4 = 0.717 g Common mistake: Not identifying the limiting reagent correctly.
Section B: Short-Answer Questions (20 marks)
6. (a) Mg(s) + 2HCl(aq) → MgCl₂(aq) + H₂(g) [2 marks] (b) Moles H₂ = 240 cm³ / 24000 cm³ mol⁻¹ = 0.0100 mol [1 mark] From equation: 1 mol Mg produces 1 mol H₂, so moles Mg = 0.0100 mol [1 mark] Mass Mg = 0.0100 mol × 24.3 g mol⁻¹ = 0.243 g [1 mark] (c) Mass MgO = 0.500 g - 0.243 g = 0.257 g [1 mark] % MgO = (0.257 g / 0.500 g) × 100% = 51.4% [1 mark] Total: 7 marks Common mistake: Using molar volume at r.t.p. incorrectly (24.0 dm³ mol⁻¹, not 22.4 dm³ mol⁻¹).
7. (a) MCO₃(s) + 2HCl(aq) → MCl₂(aq) + CO₂(g) + H₂O(l) [1 mark] (b) Initial moles HCl = 0.500 mol dm⁻³ × (50.0/1000) dm³ = 0.0250 mol [1 mark] Moles NaOH used in titration = 0.100 mol dm⁻³ × (15.0/1000) dm³ = 1.50 × 10⁻³ mol [1 mark] Moles excess HCl = 1.50 × 10⁻³ mol (1:1 reaction with NaOH) Moles HCl reacted with MCO₃ = 0.0250 - 1.50 × 10⁻³ = 0.0235 mol [1 mark] (c) From equation: 2 mol HCl reacts with 1 mol MCO₃ Moles MCO₃ = 0.0235 mol / 2 = 0.01175 mol [1 mark] Molar mass MCO₃ = 1.00 g / 0.01175 mol = 85.1 g mol⁻¹ [1 mark] Ar of M = 85.1 - 12.0 - 48.0 = 25.1 g mol⁻¹ The metal is likely magnesium (Mg, Ar = 24.3). [1 mark] Total: 7 marks Common mistake: Forgetting to subtract the excess HCl before calculating moles of MCO₃.
8. (a) Mass of water lost = 0.200 g - 0.109 g = 0.091 g [1 mark] (b) Moles H₂O lost = 0.091 g / 18.0 g mol⁻¹ = 5.06 × 10⁻³ mol [1 mark] Moles FeSO₄ = 0.109 g / (55.8 + 32.1 + 64.0) g mol⁻¹ = 0.109 g / 151.9 g mol⁻¹ = 7.18 × 10⁻⁴ mol [1 mark] (c) x = moles H₂O / moles FeSO₄ = 5.06 × 10⁻³ / 7.18 × 10⁻⁴ = 7.05 ≈ 7 [2 marks] Total: 5 marks Common mistake: Using incorrect molar mass for FeSO₄ (e.g., forgetting to include all atoms).
9. (a) 2Mg(s) + O₂(g) → 2MgO(s) [1 mark] (b) Moles Mg = 0.486 g / 24.3 g mol⁻¹ = 0.0200 mol [1 mark] From equation: 2 mol Mg reacts with 1 mol O₂ Moles O₂ = 0.0200 mol / 2 = 0.0100 mol [1 mark] Volume O₂ at r.t.p. = 0.0100 mol × 24.0 dm³ mol⁻¹ = 0.240 dm³ = 240 cm³ [1 mark] Total: 4 marks
10. (a) Moles NaOH = 0.100 mol dm⁻³ × (25.0/1000) dm³ = 2.50 × 10⁻³ mol [1 mark] (b) From equation: 1 mol H₂SO₄ reacts with 2 mol NaOH Moles H₂SO₄ = 2.50 × 10⁻³ mol / 2 = 1.25 × 10⁻³ mol [1 mark] (c) Concentration H₂SO₄ = 1.25 × 10⁻³ mol / (10.0/1000) dm³ = 0.125 mol dm⁻³ [1 mark] Total: 3 marks
11. (a) Moles KBr = 2.38 g / (39.1 + 79.9) g mol⁻¹ = 2.38 g / 119.0 g mol⁻¹ = 0.0200 mol [1 mark] (b) Concentration KBr = 0.0200 mol / 0.250 dm³ = 0.0800 mol dm⁻³ [1 mark] (c) [Br⁻] = 0.0800 mol dm⁻³ (since each KBr gives 1 Br⁻) [1 mark] Total: 3 marks
12. (a) 2H₂(g) + O₂(g) → 2H₂O(l) [1 mark] (b) Moles H₂ = 0.200 g / 2.0 g mol⁻¹ = 0.100 mol [1 mark] Moles O₂ = 1.60 g / 32.0 g mol⁻¹ = 0.0500 mol [1 mark] From equation: 2 mol H₂ reacts with 1 mol O₂ 0.100 mol H₂ requires 0.0500 mol O₂ Both reactants are in stoichiometric ratio; neither is in excess. [1 mark] (c) Moles H₂O produced = 0.100 mol (from 2:2 ratio with H₂) [1 mark] Mass H₂O = 0.100 mol × 18.0 g mol⁻¹ = 1.80 g [1 mark] Total: 6 marks
13. (a) Moles CuSO₄·5H₂O = 2.50 g / (63.5 + 32.1 + 64.0 + 90.0) g mol⁻¹ = 2.50 g / 249.6 g mol⁻¹ = 0.0100 mol [1 mark] (b) Moles Cu²⁺ = 0.0100 mol [1 mark] (c) Concentration Cu²⁺ = 0.0100 mol / 0.500 dm³ = 0.0200 mol dm⁻³ [1 mark] Total: 3 marks
14. (a) CaCO₃(s) + 2HCl(aq) → CaCl₂(aq) + CO₂(g) + H₂O(l) [1 mark] (b) Moles CaCO₃ = 1.00 g / 100.1 g mol⁻¹ = 9.99 × 10⁻³ mol [1 mark] Moles HCl required = 2 × 9.99 × 10⁻³ mol = 0.0200 mol [1 mark] Volume HCl = 0.0200 mol / 0.500 mol dm⁻³ = 0.0400 dm³ = 40.0 cm³ [1 mark] Total: 4 marks
15. (a) Moles AgNO₃ = 0.100 mol dm⁻³ × (50.0/1000) dm³ = 5.00 × 10⁻³ mol [1 mark] (b) AgNO₃(aq) + KCl(aq) → AgCl(s) + KNO₃(aq) [1 mark] (c) Moles KCl = 5.00 × 10⁻³ mol (1:1 ratio with AgNO₃) [1 mark] Mass KCl = 5.00 × 10⁻³ mol × (39.1 + 35.5) g mol⁻¹ = 5.00 × 10⁻³ × 74.6 = 0.373 g [1 mark] Total: 4 marks
Section C: Data-Based and Extended-Response Questions (15 marks)
16. (a) Moles KIO₃ = 2.14 g / (39.1 + 126.9 + 48.0) g mol⁻¹ = 2.14 g / 214.0 g mol⁻¹ = 0.0100 mol [1 mark] Concentration KIO₃ = 0.0100 mol / 0.250 dm³ = 0.0400 mol dm⁻³ [2 marks] (b) Moles KIO₃ in 25.0 cm³ aliquot = 0.0400 mol dm⁻³ × (25.0/1000) dm³ = 1.00 × 10⁻³ mol [1 mark] From equation: 1 mol IO₃⁻ produces 3 mol I₂ Moles I₂ = 3 × 1.00 × 10⁻³ mol = 3.00 × 10⁻³ mol [2 marks] (c) From second equation: 1 mol I₂ reacts with 2 mol S₂O₃²⁻ Moles S₂O₃²⁻ = 2 × 3.00 × 10⁻³ mol = 6.00 × 10⁻³ mol [1 mark] Concentration Na₂S₂O₃ = 6.00 × 10⁻³ mol / (30.0/1000) dm³ = 0.200 mol dm⁻³ [2 marks] Total: 9 marks Common mistake: Using the wrong stoichiometric ratio between IO₃⁻ and I₂, or between I₂ and S₂O₃²⁻.
17. (a) Ag⁺(aq) + Cl⁻(aq) → AgCl(s) [1 mark] Ag⁺(aq) + Br⁻(aq) → AgBr(s) [1 mark] (b) Mass NaBr = (0.500 - x) g [1 mark] (c) Moles NaCl = x / 58.5; Moles NaBr = (0.500 - x) / 102.9 [1 mark] Moles AgCl = x / 58.5; Mass AgCl = (x / 58.5) × 143.4 [1 mark] Moles AgBr = (0.500 - x) / 102.9; Mass AgBr = ((0.500 - x) / 102.9) × 187.8 [1 mark] Equation: (x / 58.5) × 143.4 + ((0.500 - x) / 102.9) × 187.8 = 1.20 [1 mark] Solving: 2.451x + 0.912 - 1.825x = 1.20 0.626x = 0.288 x = 0.460 g [1 mark] (d) % NaCl = (0.460 / 0.500) × 100% = 92.0% [2 marks] Total: 9 marks Common mistake: Using incorrect molar masses for the halides or their silver salts.
18. (a) CaCO₃(s) → CaO(s) + CO₂(g) [1 mark] (b) The mass decreases because carbon dioxide gas is released during the thermal decomposition of CaCO₃. [2 marks] (c) Mass loss = 2.00 g - 1.56 g = 0.44 g (this is the mass of CO₂ lost) [1 mark] Moles CO₂ = 0.44 g / 44.0 g mol⁻¹ = 0.0100 mol [1 mark] From equation: 1 mol CaCO₃ produces 1 mol CO₂ Moles CaCO₃ = 0.0100 mol Mass CaCO₃ = 0.0100 mol × 100.1 g mol⁻¹ = 1.00 g [1 mark] (d) Mass CaO in original mixture = 2.00 g - 1.00 g = 1.00 g [1 mark] % CaO = (1.00 g / 2.00 g) × 100% = 50.0% [1 mark] Total: 8 marks Common mistake: Assuming the mass loss is due to water or other gases, not CO₂.
19. (a) HA(aq) + NaOH(aq) → NaA(aq) + H₂O(l) [1 mark] (b) Moles NaOH = 0.0500 mol dm⁻³ × (20.0/1000) dm³ = 1.00 × 10⁻³ mol [1 mark] From equation: 1 mol HA reacts with 1 mol NaOH Moles HA = 1.00 × 10⁻³ mol [1 mark] (c) Molar mass HA = 0.100 g / 1.00 × 10⁻³ mol = 100 g mol⁻¹ [2 marks] (d) Empirical formula mass of CH₂O = 30.0 g mol⁻¹ n = 100 / 30.0 = 3.33 This is not an integer, so there may be a calculation error or the empirical formula is different. Let's re-check: If Mr = 100 and empirical formula is CH₂O (Mr = 30), n = 100/30 ≈ 3.33. This suggests the empirical formula might be C₂H₄O₂ (Mr = 60), giving n = 100/60 ≈ 1.67. Alternatively, the acid could be C₃H₆O₃ (Mr = 90) or C₄H₈O₄ (Mr = 120). Given Mr = 100, the closest is C₃H₆O₃ (Mr = 90) or C₄H₈O₄ (Mr = 120). With the given empirical formula CH₂O, the molecular formula could be C₃H₆O₃ (Mr = 90) or C₄H₈O₄ (Mr = 120). Since Mr = 100, neither fits exactly. This suggests the empirical formula might be different. If we assume the acid is lactic acid, C₃H₆O₃, Mr = 90, but our calculated Mr is 100. Let's re-examine: 0.100 g / 0.00100 mol = 100 g/mol. If the acid is CH₃CH₂COOH (propanoic acid), Mr = 74, empirical formula C₃H₆O₂. If the acid is C₆H₁₂O₆ (glucose), Mr = 180. Given the discrepancy, the most likely molecular formula with Mr ≈ 100 and empirical formula CH₂O is C₄H₈O₄ (Mr = 120) or C₃H₆O₃ (Mr = 90). For the purpose of this exercise, we'll accept C₃H₆O₃ as the closest match, noting the slight discrepancy. [2 marks] Total: 8 marks Common mistake: Not checking that the calculated Mr is consistent with the empirical formula.
20. (a) Moles S₂O₃²⁻ = 0.0500 mol dm⁻³ × (25.0/1000) dm³ = 1.25 × 10⁻³ mol [1 mark] From second equation: 1 mol I₂ reacts with 2 mol S₂O₃²⁻ Moles I₂ = 1.25 × 10⁻³ mol / 2 = 6.25 × 10⁻⁴ mol [2 marks] (b) From first equation: 2 mol Fe³⁺ produces 1 mol I₂ Moles Fe³⁺ reacted = 2 × 6.25 × 10⁻⁴ mol = 1.25 × 10⁻³ mol [2 marks] (c) From first equation: 2 mol I⁻ produces 1 mol I₂ Moles I⁻ reacted = 2 × 6.25 × 10⁻⁴ mol = 1.25 × 10⁻³ mol [2 marks] (d) Initial moles I⁻ = 0.200 mol dm⁻³ × (25.0/1000) dm³ = 5.00 × 10⁻³ mol [1 mark] Moles I⁻ remaining = 5.00 × 10⁻³ - 1.25 × 10⁻³ = 3.75 × 10⁻³ mol [1 mark] (e) Initial moles Fe³⁺ = 0.100 mol dm⁻³ × (25.0/1000) dm³ = 2.50 × 10⁻³ mol [1 mark] Moles Fe³⁺ reacted = 1.25 × 10⁻³ mol Since only half of the Fe³⁺ reacted, the reaction did not go to completion. This is because the reaction is an equilibrium reaction. [1 mark] Total: 11 marks Common mistake: Assuming the reaction goes to completion without checking the stoichiometric amounts.