Answers and marking notes
Section I — answer key
| Q |
Answer |
Note |
| 1 |
C |
Mostly molecular ⇒ weak; many particles per volume ⇒ concentrated |
| 2 |
C |
[H⁺] = 1.0 × 10⁻³ mol L⁻¹ ⇒ pH 3.0 |
| 3 |
A |
Lowest locant set {2,4}; substituents cited alphabetically (chloro before methyl) |
| 4 |
B |
Solids excluded; CO squared; products over reactants |
| 5 |
D |
Symmetry: four equivalent CH₃ carbons + two equivalent CH carbons = 2 environments |
| 6 |
C |
Q = (2.0 × 10⁻³)(2.0 × 10⁻³)² = 8.0 × 10⁻⁹ < 1.7 × 10⁻⁵ |
| 7 |
B |
⁷⁹Br/⁸¹Br ≈ 1:1 gives equal M and M+2 peaks (Cl would give 3:1) |
| 8 |
D |
Indicator range must span the equivalence pH of 8.9 |
| 9 |
B |
Conjugate acid = HCO₃⁻ + H⁺ = H₂CO₃ |
| 10 |
A |
Hydrophobic tails into grease, hydrophilic heads to water |
| 11 |
B |
Heating favours the endothermic (forward) direction ⇒ blue [CoCl₄]²⁻ |
| 12 |
D |
ΔG = ΔH − TΔS < 0 only at high T requires ΔH > 0 and ΔS > 0 |
| 13 |
B |
Alcohol gives the alkyl part (methyl), acid the -oate part (propanoate) |
| 14 |
C |
Ksp = [Ag⁺]²[CrO₄²⁻] = (2s)²(s) = 4s³ |
| 15 |
C |
AAS is the standard trace-metal technique |
| 16 |
A |
Acidic start (pH 2.9), buffer region, basic equivalence point |
| 17 |
D |
Polyester = diol + dicarboxylic acid condensation |
| 18 |
A |
CH₃ (3H) split by 2H into a triplet; CH₂ (2H) split by 3H into a quartet |
| 19 |
C |
Excess OH⁻ = 1.25 mmol / 50.0 mL = 0.025 mol L⁻¹; pOH 1.60; pH 12.40 |
| 20 |
A |
Ka is temperature-dependent only; equilibrium shifts to ions on dilution |
Section II — marking notes
Q21. X = dilute sulfuric acid (or H₃PO₄) catalyst; major product propan-2-ol (OH on the central carbon per Markovnikov).
Q22 (a). q = 250.0 × 4.18 × 20.0 = 20 900 J = 20.9 kJ; n = 0.850/60.09 = 1.41 × 10⁻² mol; ΔcH = −20.9/0.01415 = −1.48 × 10³ kJ mol⁻¹.
(b). Major heat losses to the surroundings, the can and by incomplete combustion mean not all released energy heats the water. Improvement: insulate/shield the apparatus or reduce the flame-to-can distance (any justified change that channels more heat into the water; "repeat trials" alone is reliability, not accuracy — no mark).
Q23. CH₃COO⁻ + H₂O ⇌ CH₃COOH + OH⁻; Kb = Kw/Ka = 5.6 × 10⁻¹⁰; x = √(5.6 × 10⁻¹⁰ × 0.25) = 1.18 × 10⁻⁵ (approximation valid: x/c ≈ 0.005% ≪ 5%); pOH = 4.93; pH = 9.07.
Q24 (a). [N₂O₄] continuous at t₁ (no step), rising with decreasing gradient to a higher plateau.
(b). Added NO₂ raises [NO₂], so NO₂–NO₂ collision frequency and hence forward rate rise immediately; the reverse rate is initially unchanged. Because forward rate > reverse rate, net conversion to N₂O₄ occurs; as [NO₂] falls and [N₂O₄] rises the forward rate falls and reverse rate rises until the rates are equal again. Le Chatelier alone (without rates) caps at 1 mark.
Q25. Check: K = 1.40²/(0.200 × 0.200) = 49.0 ✓. Let a = mol I₂ added; shift forward by x: 1.40 + 2x = 1.60 ⇒ x = 0.100. New [H₂] = 0.100; K = 1.60²/(0.100 × (0.100 + a)) = 49.0 ⇒ 0.100 + a = 2.56/4.90 = 0.522 ⇒ a = 0.42 mol (concentrations, not moles, in K; here V = 1.00 L so they coincide numerically — working must show the expression).
Q26 (a). Ba²⁺(aq) + 2OH⁻(aq) + 2H⁺(aq) + SO₄²⁻(aq) → BaSO₄(s) + 2H₂O(l). Conductivity falls because the highly mobile OH⁻ ions are converted to water and Ba²⁺ is removed as insoluble BaSO₄ — the ions are removed without replacement; near zero at equivalence because almost no ions remain; rises after equivalence as excess H⁺ (very high mobility) and SO₄²⁻ accumulate.
(b). n(H₂SO₄) = 0.100 × 0.0220 = 2.20 × 10⁻³ mol = n(Ba(OH)₂); c = 2.20 × 10⁻³/0.0250 = 0.0880 mol L⁻¹.
Q27 (a). From the calibration line: 0.264/0.110 = 2.4 mg L⁻¹ in the diluted sample; dilution factor 250.0/25.00 = 10; undiluted = 24 mg L⁻¹.
(b). 24 mg L⁻¹ ÷ 63.55 g mol⁻¹ = 3.8 × 10⁻⁴ mol L⁻¹ > 8.0 × 10⁻⁵ mol L⁻¹ (≈ 4.7 × the limit) ⇒ not compliant.
Q28 (a). At half-equivalence (12.5 mL) pH = pKa = 4.87 ⇒ Ka = 10⁻⁴·⁸⁷ = 1.3 × 10⁻⁵. Annotation of the half-equivalence volume required.
(b). At equivalence only the propanoate ion is present; CH₃CH₂COO⁻ + H₂O ⇌ CH₃CH₂COOH + OH⁻ generates excess OH⁻, so pH > 7.
Q29 (a). All three sulfates are insoluble or slightly soluble: Ba²⁺ + SO₄²⁻ → BaSO₄(s), Pb²⁺ + SO₄²⁻ → PbSO₄(s) (and CaSO₄ may also form), so a white precipitate does not distinguish the cations.
(b). Valid sequence, e.g.: (1) add NaCl(aq) or dilute HCl — white precipitate PbCl₂(s) only if Pb²⁺: Pb²⁺(aq) + 2Cl⁻(aq) → PbCl₂(s); Ba²⁺/Ca²⁺ give no precipitate. (2) If no precipitate, flame test: apple-green ⇒ Ba²⁺, brick-red ⇒ Ca²⁺ (or add F⁻/SO₄²⁻ with correct solubility logic). Marks for correct order, observations for every cation, and net ionic equations with states.
Q30. At low temperature the equilibrium yield is high but the rate is far too slow to be economic (few molecules exceed the activation energy); raising the temperature increases the fraction of successful collisions and the rate, though it shifts the exothermic equilibrium backwards. 450 °C is a compromise between acceptable rate and acceptable yield.
Q31 (a). CaCO₃ + 2HCl → CaCl₂ + H₂O + CO₂ and HCl + NaOH → NaCl + H₂O.
(b). Titre 1 (20.10 mL) is an outlier — exclude; mean concordant titre = (19.20 + 19.15 + 19.25)/3 = 19.20 mL. n(NaOH) = 1.920 × 10⁻³ mol = n(excess HCl) per 25.00 mL aliquot; × 10 = 1.920 × 10⁻² mol excess HCl total. Initial HCl = 0.02500 mol; reacted with tablet = 5.80 × 10⁻³ mol; n(CaCO₃) = 2.90 × 10⁻³ mol; mass = 0.290 g (290 mg).
(c). 290 mg is 3% below the 300 mg claim — a justified verdict either way scores (e.g. does not fully support the claim, or is within reasonable experimental uncertainty of it).
Q32. CH₃COOH ⇌ CH₃COO⁻ + H⁺. Added H⁺ reacts with the large reservoir of CH₃COO⁻ (equilibrium shifts left), so [H⁺] rises only slightly; added OH⁻ removes H⁺ and the equilibrium shifts right, ethanoic acid ionising to replace it. Both components must be present in comparable, substantial amounts; both directions required for full marks.
Q33 (a). BaSO₄ begins at [SO₄²⁻] = 1.08 × 10⁻¹⁰/0.010 = 1.1 × 10⁻⁸ mol L⁻¹; CaSO₄ at 4.93 × 10⁻⁵/0.010 = 4.9 × 10⁻³ mol L⁻¹ ⇒ BaSO₄ first (by ~10⁵ times).
(b). When CaSO₄ just starts, [SO₄²⁻] = 4.93 × 10⁻³ ⇒ [Ba²⁺] = 1.08 × 10⁻¹⁰/4.93 × 10⁻³ = 2.2 × 10⁻⁸ mol L⁻¹ — essentially all Ba²⁺ (99.9998%) is removed before any CaSO₄ forms, so filtering at this point separates the ions.
Q34 (a). ΔG = 178 − 298 × 0.161 = +130 kJ mol⁻¹ ⇒ not spontaneous at 25 °C.
(b). ΔG = 0 at T = 178/0.161 = 1.11 × 10³ K (≈ 833 °C); spontaneous above this temperature.
Q35 (a). B = 2-methylpropan-2-ol (tertiary, major by Markovnikov); C = 2-methylpropan-1-ol (primary); D = 2-methylpropanoic acid (primary alcohol fully oxidised by excess oxidant under reflux). Full structural formulae required.
(b). E = ethyl 2-methylpropanoate, (CH₃)₂CHCOOCH₂CH₃.
(c). B is a tertiary alcohol: the carbon bearing the OH has no hydrogen atom to be removed, so it cannot be oxidised by dichromate.
Q36. Neutralisation itself (H⁺ + OH⁻ → H₂O) releases the same energy per mole, but ethanoic acid is only partially ionised; part of the released energy is consumed breaking the O–H bonds ionising the remaining molecular acid as the equilibrium shifts, so the net measured enthalpy is less exothermic.
Q37. X = propan-2-yl ethanoate (isopropyl ethanoate), CH₃COOCH(CH₃)₂, made from propan-2-ol. Justification: M⁺ = 102 matches C₅H₁₀O₂; base peak m/z 43 = CH₃CO⁺ (acylium; C₃H₇⁺ also accepted with reasoning), m/z 87 = M − CH₃, m/z 59 = CH₃COO⁺; IR 1743 cm⁻¹ ester C=O with C–O at 1240/1050 and no O–H rules out acid/alcohol; ¹³C: 4 environments for 5 carbons ⇒ two equivalent CH₃ (δ 170.7 C=O, δ 67.3 O–CH); ¹H: septet 1H at δ 4.99 (CH adjacent to 6H, deshielded by O), doublet 6H (two CH₃ adjacent to 1H), singlet 3H at δ 2.01 (CH₃C=O, no neighbours). Marks: correct structure + name (2), each spectrum explicitly linked (4), base-peak fragment identified (1), integration vs splitting used correctly (1), alcohol named (1).