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A Level H2 Chemistry Practice Paper 3

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A Level H2 Chemistry AI Generated Generated by LongCat 2.0 LLM Updated 2026-08-17

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TuitionGoWhere Practice Paper — Chemistry H2 A-Level

Answer Key: Acids, Bases & Salts


Section A: Multiple Choice

1. BSO42SO_4^{2-}

Explanation: A conjugate base is formed when an acid donates a proton (H+H^+). HSO4HSO_4^- loses one H+H^+ to become SO42SO_4^{2-}. Option A (H2SO4H_2SO_4) is the conjugate acid (gaining a proton), not the conjugate base. This tests understanding of conjugate acid-base pairs: acid → conjugate base + H+H^+.


2. B4.0×10114.0 \times 10^{-11} mol dm3^{-3}

Explanation:

  • pH=3.40pH = 3.40, so [H3O+]=103.40=3.98×104[H_3O^+] = 10^{-3.40} = 3.98 \times 10^{-4} mol dm3^{-3}
  • At 25 °C: Kw=[H3O+][OH]=1.0×1014K_w = [H_3O^+][OH^-] = 1.0 \times 10^{-14}
  • [OH]=1.0×10143.98×104=2.51×1011[OH^-] = \frac{1.0 \times 10^{-14}}{3.98 \times 10^{-4}} = 2.51 \times 10^{-11} mol dm3^{-3}

Wait — let me recalculate: 103.40=3.981×10410^{-3.40} = 3.981 \times 10^{-4}. Then [OH]=1.0×1014/3.981×104=2.51×1011[OH^-] = 1.0 \times 10^{-14} / 3.981 \times 10^{-4} = 2.51 \times 10^{-11} mol dm3^{-3}.

Hmm, that gives 2.5×10112.5 \times 10^{-11}, which is option C. Let me re-examine.

Actually: 103.40=103×100.40=1.0×103×0.3981=3.981×10410^{-3.40} = 10^{-3} \times 10^{-0.40} = 1.0 \times 10^{-3} \times 0.3981 = 3.981 \times 10^{-4}

[OH]=1.0×1014/3.981×104=2.512×1011[OH^-] = 1.0 \times 10^{-14} / 3.981 \times 10^{-4} = 2.512 \times 10^{-11} mol dm3^{-3}

This rounds to 2.5×10112.5 \times 10^{-11} mol dm3^{-3}, which is C.

Corrected Answer: C2.5×10112.5 \times 10^{-11} mol dm3^{-3}

Common mistake: Students may confuse [H3O+][H_3O^+] with [OH][OH^-] and select option A, or miscalculate the antilog.


3. CNH4ClNH_4Cl

Explanation: NH4ClNH_4Cl is a salt formed from a weak base (NH3NH_3) and a strong acid (HClHCl). The NH4+NH_4^+ ion undergoes hydrolysis: NH4++H2ONH3+H3O+NH_4^+ + H_2O \rightleftharpoons NH_3 + H_3O^+, producing H3O+H_3O^+ ions and making the solution acidic. Na2CO3Na_2CO_3 and CH3COONaCH_3COONa produce basic solutions (salts of strong base + weak acid). KNO3KNO_3 is neutral (strong acid + strong base).


4. A — 3.20

Explanation:

  • For a weak acid: [H+]Ka×C=4.0×106×0.10=4.0×107=6.32×104[H^+] \approx \sqrt{K_a \times C} = \sqrt{4.0 \times 10^{-6} \times 0.10} = \sqrt{4.0 \times 10^{-7}} = 6.32 \times 10^{-4} mol dm3^{-3}
  • pH=log(6.32×104)=3.20pH = -\log(6.32 \times 10^{-4}) = 3.20

Common mistake: Students may incorrectly calculate 4.0×106=2.0×103\sqrt{4.0 \times 10^{-6}} = 2.0 \times 10^{-3} and get pH = 2.70 (option B), forgetting to multiply by the concentration first.


5. D — The resulting solution is not a buffer because only CH3COONaCH_3COONa is present.

Explanation: Moles of CH3COOH=0.050×0.20=0.010CH_3COOH = 0.050 \times 0.20 = 0.010 mol. Moles of NaOH=0.050×0.20=0.010NaOH = 0.050 \times 0.20 = 0.010 mol. The acid and base react in a 1:1 ratio, so all the CH3COOHCH_3COOH is completely neutralised to form CH3COONaCH_3COONa. The resulting solution contains only CH3COONaCH_3COONa (a salt), with no remaining weak acid to act as a buffer component. A buffer requires a weak acid and its conjugate base in comparable amounts.


6. B — 7.0

Explanation: NaOHNaOH is a strong base and HClHCl is a strong acid. At the equivalence point, the salt formed is NaClNaCl, which is neutral (from strong acid + strong base). The pH at the equivalence point is 7.0. This contrasts with weak acid–strong base titrations where the equivalence point pH > 7 due to hydrolysis of the conjugate base.


7. A1.3×1031.3 \times 10^{-3} mol dm3^{-3}

Explanation:

  • PbI2(s)Pb2+(aq)+2I(aq)PbI_2(s) \rightleftharpoons Pb^{2+}(aq) + 2I^-(aq)
  • Ksp=[Pb2+][I]2K_{sp} = [Pb^{2+}][I^-]^2
  • If solubility = ss, then [Pb2+]=s[Pb^{2+}] = s and [I]=2s[I^-] = 2s
  • Ksp=s×(2s)2=4s3=8.5×109K_{sp} = s \times (2s)^2 = 4s^3 = 8.5 \times 10^{-9}
  • s3=2.125×109s^3 = 2.125 \times 10^{-9}
  • s=2.125×1093=1.29×1031.3×103s = \sqrt[3]{2.125 \times 10^{-9}} = 1.29 \times 10^{-3} \approx 1.3 \times 10^{-3} mol dm3^{-3}

Common mistake: Forgetting the stoichiometric coefficient of II^- and writing Ksp=s×s2=s3K_{sp} = s \times s^2 = s^3 instead of 4s34s^3.


8. C — Phenolphthalein

Explanation: In a weak acid–strong base titration, the equivalence point occurs at pH > 7 (basic) because the conjugate base of the weak acid hydrolyses. The pH change around the equivalence point falls in the range of approximately 7–10. Phenolphthalein has a pH range of 8.2–10.0, which falls within this steep pH change region. Methyl orange (3.1–4.4) would change colour too early, well before the equivalence point.


9. BCO32CO_3^{2-} ions react with water to produce OHOH^-.

Explanation: Na2CO3Na_2CO_3 is a salt of a strong base (NaOHNaOH) and a weak acid (H2CO3H_2CO_3). The CO32CO_3^{2-} ion is the conjugate base of HCO3HCO_3^- and undergoes hydrolysis: CO32+H2OHCO3+OHCO_3^{2-} + H_2O \rightleftharpoons HCO_3^- + OH^-. This produces OHOH^- ions, making the solution alkaline. Na+Na^+ does not hydrolyse (it is the conjugate acid of a strong base).


10. A2.0×1052.0 \times 10^{-5} mol dm3^{-3}

Explanation:

  • pH=3.00pH = 3.00, so [H+]=103.00=1.0×103[H^+] = 10^{-3.00} = 1.0 \times 10^{-3} mol dm3^{-3}
  • For HXH++XHX \rightleftharpoons H^+ + X^-: [H+]=[X]=1.0×103[H^+] = [X^-] = 1.0 \times 10^{-3} mol dm3^{-3}
  • Remaining [HX]=0.0500.001=0.0490.050[HX] = 0.050 - 0.001 = 0.049 \approx 0.050 mol dm3^{-3} (approximation valid since dissociation is small)
  • Ka=[H+][X][HX]=(1.0×103)20.050=1.0×1060.050=2.0×105K_a = \frac{[H^+][X^-]}{[HX]} = \frac{(1.0 \times 10^{-3})^2}{0.050} = \frac{1.0 \times 10^{-6}}{0.050} = 2.0 \times 10^{-5} mol dm3^{-3}

11. C — The pH remains almost unchanged.

Explanation: This is a buffer solution containing a weak acid (CH3COOHCH_3COOH) and its conjugate base (CH3COOCH_3COO^-). When a small amount of HClHCl is added, the H+H^+ ions are consumed by the conjugate base: CH3COO+H+CH3COOHCH_3COO^- + H^+ \rightarrow CH_3COOH. This shifts the equilibrium but the ratio [CH3COO]/[CH3COOH][CH_3COO^-]/[CH_3COOH] changes only slightly, so the pH remains almost unchanged. This is the defining property of a buffer.


12. AKw=[H3O+][OH]=1.0×1014K_w = [H_3O^+][OH^-] = 1.0 \times 10^{-14} mol2^2 dm6^{-6}

Explanation: The ionic product of water is defined as Kw=[H3O+][OH]K_w = [H_3O^+][OH^-]. At 25 °C, Kw=1.0×1014K_w = 1.0 \times 10^{-14} mol2^2 dm6^{-6}. Option B has the wrong value. Option C incorrectly uses a ratio. Option D incorrectly uses a sum.


13. C — 40.0 cm³

Explanation:

  • H2SO4H_2SO_4 is diprotic: H2SO4+2NaOHNa2SO4+2H2OH_2SO_4 + 2NaOH \rightarrow Na_2SO_4 + 2H_2O
  • Moles of H2SO4=0.0200×0.10=0.0020H_2SO_4 = 0.0200 \times 0.10 = 0.0020 mol
  • Moles of NaOHNaOH needed =2×0.0020=0.0040= 2 \times 0.0020 = 0.0040 mol
  • Volume of NaOH=0.00400.10=0.040NaOH = \frac{0.0040}{0.10} = 0.040 dm3=40.0^3 = 40.0 cm³

Common mistake: Forgetting that H2SO4H_2SO_4 provides 2 moles of H+H^+ per mole of acid and using a 1:1 ratio, giving 20.0 cm³ (option B).


14. B — 10.52

Explanation:

  • Mg(OH)2(s)Mg2+(aq)+2OH(aq)Mg(OH)_2(s) \rightleftharpoons Mg^{2+}(aq) + 2OH^-(aq)
  • Ksp=[Mg2+][OH]2=4s3=1.8×1011K_{sp} = [Mg^{2+}][OH^-]^2 = 4s^3 = 1.8 \times 10^{-11}
  • s3=4.5×1012s^3 = 4.5 \times 10^{-12}
  • s=1.65×104s = 1.65 \times 10^{-4} mol dm3^{-3}
  • [OH]=2s=3.30×104[OH^-] = 2s = 3.30 \times 10^{-4} mol dm3^{-3}
  • pOH=log(3.30×104)=3.48pOH = -\log(3.30 \times 10^{-4}) = 3.48
  • pH=14.003.48=10.52pH = 14.00 - 3.48 = 10.52

15. CNa2CO3Na_2CO_3

Explanation: The extent of hydrolysis depends on the strength of the parent acid and base. NaClNaCl is neutral (strong acid + strong base, no hydrolysis). NH4ClNH_4Cl undergoes cationic hydrolysis (weak base cation). Na2CO3Na_2CO_3 undergoes anionic hydrolysis with CO32CO_3^{2-}, which is the conjugate base of the weak acid HCO3HCO_3^- — since H2CO3H_2CO_3 is weak, CO32CO_3^{2-} is relatively strongly basic and undergoes extensive hydrolysis. NH4CH3COONH_4CH_3COO has both ions hydrolysing but the effects partially cancel (KaKbK_a \approx K_b for the parent acid and base). CO32CO_3^{2-} is the strongest base among the anions listed because it is the conjugate base of a weak acid (HCO3HCO_3^-) which itself comes from a weak acid (H2CO3H_2CO_3).


Section B: Structured Questions

16. Buffer Solutions and pH Calculations [8 marks]

(a) [2 marks]

A buffer solution is a solution that resists changes in pH when small amounts of acid or base are added, or when it is diluted. It typically consists of a weak acid and its conjugate base (or a weak base and its conjugate acid).

Marking:

  • [1] for mentioning resistance to pH change
  • [1] for identifying the components (weak acid + conjugate base, or weak base + conjugate acid)

(b)(i) [3 marks]

Step 1: Calculate moles of each component after mixing.

  • Moles of HCOOH=0.100×0.50=0.050HCOOH = 0.100 \times 0.50 = 0.050 mol
  • Moles of HCOONa=0.100×0.30=0.030HCOONa = 0.100 \times 0.30 = 0.030 mol
  • Total volume =100+100=200= 100 + 100 = 200 cm³ =0.200= 0.200 dm³

Step 2: Calculate concentrations in the mixture.

  • [HCOOH]=0.0500.200=0.25[HCOOH] = \frac{0.050}{0.200} = 0.25 mol dm3^{-3}
  • [HCOO]=0.0300.200=0.15[HCOO^-] = \frac{0.030}{0.200} = 0.15 mol dm3^{-3}

Step 3: Apply the Henderson-Hasselbalch equation.

pH=pKa+log[A][HA]pH = pK_a + \log\frac{[A^-]}{[HA]}

pKa=log(1.8×104)=3.74pK_a = -\log(1.8 \times 10^{-4}) = 3.74

pH=3.74+log0.150.25=3.74+log(0.60)=3.74+(0.22)=3.52pH = 3.74 + \log\frac{0.15}{0.25} = 3.74 + \log(0.60) = 3.74 + (-0.22) = 3.52

Marking:

  • [1] for correct moles/concentrations
  • [1] for correct pKapK_a and correct substitution into Henderson-Hasselbalch
  • [1] for correct final answer (pH = 3.52)

(b)(ii) [3 marks]

When a small amount of dilute HClHCl is added, the H+H^+ ions from HClHCl react with the methanoate ions (HCOOHCOO^-) in the buffer:

HCOO(aq)+H+(aq)HCOOH(aq)HCOO^-(aq) + H^+(aq) \rightarrow HCOOH(aq)

This removes the added H+H^+ ions by converting them into un-ionised HCOOHHCOOH. The equilibrium:

HCOOH(aq)H+(aq)+HCOO(aq)HCOOH(aq) \rightleftharpoons H^+(aq) + HCOO^-(aq)

shifts to the left (Le Chatelier's principle) as HCOOHCOO^- is consumed. Since the buffer contains relatively large reservoirs of both HCOOHHCOOH and HCOOHCOO^-, the ratio [HCOO]/[HCOOH][HCOO^-]/[HCOOH] changes only slightly, and hence the pH remains nearly constant.

Marking:

  • [1] for stating that added H+H^+ reacts with HCOOHCOO^-
  • [1] for the equation showing the reaction
  • [1] for explaining that the ratio changes little / reference to Le Chatelier's principle

17. Solubility Product and Precipitation [8 marks]

(a) [1 mark]

Ksp=[Ba2+][SO42]K_{sp} = [Ba^{2+}][SO_4^{2-}]

Marking:

  • [1] for correct expression (no state symbols needed, no solids included)

(b) [2 marks]

BaSO4(s)Ba2+(aq)+SO42(aq)BaSO_4(s) \rightleftharpoons Ba^{2+}(aq) + SO_4^{2-}(aq)

Let solubility =s= s mol dm3^{-3}

[Ba2+]=s[Ba^{2+}] = s and [SO42]=s[SO_4^{2-}] = s

Ksp=s×s=s2=1.1×1010K_{sp} = s \times s = s^2 = 1.1 \times 10^{-10}

s=1.1×1010=1.05×1051.0×105 mol dm3s = \sqrt{1.1 \times 10^{-10}} = 1.05 \times 10^{-5} \approx 1.0 \times 10^{-5} \text{ mol dm}^{-3}

Marking:

  • [1] for correct setup (s2=Ksps^2 = K_{sp})
  • [1] for correct answer (1.0×1051.0 \times 10^{-5} or 1.05×1051.05 \times 10^{-5} mol dm3^{-3})

(c) [3 marks]

In 0.10 mol dm3^{-3} Na2SO4Na_2SO_4, [SO42]0.10[SO_4^{2-}] \approx 0.10 mol dm3^{-3} (from the dissolved salt, assuming the contribution from dissolved BaSO4BaSO_4 is negligible).

Ksp=[Ba2+][SO42]K_{sp} = [Ba^{2+}][SO_4^{2-}]

1.1×1010=[Ba2+]×0.101.1 \times 10^{-10} = [Ba^{2+}] \times 0.10

[Ba2+]=1.1×10100.10=1.1×109 mol dm3[Ba^{2+}] = \frac{1.1 \times 10^{-10}}{0.10} = 1.1 \times 10^{-9} \text{ mol dm}^{-3}

The solubility is 1.1×1091.1 \times 10^{-9} mol dm3^{-3}, which is much lower than in pure water. This is due to the common ion effect: the presence of SO42SO_4^{2-} from Na2SO4Na_2SO_4 shifts the equilibrium BaSO4(s)Ba2+(aq)+SO42(aq)BaSO_4(s) \rightleftharpoons Ba^{2+}(aq) + SO_4^{2-}(aq) to the left (Le Chatelier's principle), suppressing the dissolution of BaSO4BaSO_4.

Marking:

  • [1] for correct calculation
  • [1] for identifying the common ion effect
  • [1] for explaining the shift in equilibrium

(d) [2 marks]

After mixing equal volumes, the concentrations are halved:

  • [Ba2+]=0.00102=5.0×104[Ba^{2+}] = \frac{0.0010}{2} = 5.0 \times 10^{-4} mol dm3^{-3}
  • [SO42]=0.00102=5.0×104[SO_4^{2-}] = \frac{0.0010}{2} = 5.0 \times 10^{-4} mol dm3^{-3}

Ionic product =[Ba2+][SO42]=(5.0×104)2=2.5×107= [Ba^{2+}][SO_4^{2-}] = (5.0 \times 10^{-4})^2 = 2.5 \times 10^{-7}

Since ionic product (2.5×1072.5 \times 10^{-7}) >Ksp> K_{sp} (1.1×10101.1 \times 10^{-10}), a precipitate of BaSO4BaSO_4 will form.

Marking:

  • [1] for correct calculation of ionic product
  • [1] for correct comparison with KspK_{sp} and conclusion

18. Acid-Base Titrations and Indicators [8 marks]

(a) [3 marks]

TitrationRough123
Final reading / cm³24.8024.3524.3024.40
Initial reading / cm³0.000.000.000.00
Titre / cm³24.8024.3524.3024.40

Titrations 2 and 3 are concordant (within 0.10 cm³ of each other: 24.3524.30=0.05|24.35 - 24.30| = 0.05 cm³ ✓; 24.3524.40=0.05|24.35 - 24.40| = 0.05 cm³ ✓).

All three accurate titrations (1, 2, 3) are within 0.10 cm³ of each other, so all three can be used.

Mean titre=24.35+24.30+24.403=73.053=24.35 cm3\text{Mean titre} = \frac{24.35 + 24.30 + 24.40}{3} = \frac{73.05}{3} = 24.35 \text{ cm}^3

Marking:

  • [1] for correct table format with all readings
  • [1] for identifying concordant titres and excluding the rough titration
  • [1] for correct mean titre calculation (24.35 cm³)

(b) [2 marks]

CH3COOH+NaOHCH3COONa+H2OCH_3COOH + NaOH \rightarrow CH_3COONa + H_2O

Moles of NaOH=0.02435×0.100=2.435×103NaOH = 0.02435 \times 0.100 = 2.435 \times 10^{-3} mol

Moles of CH3COOH=2.435×103CH_3COOH = 2.435 \times 10^{-3} mol (1:1 ratio)

[CH3COOH]=2.435×1030.0250=0.0974 mol dm3[CH_3COOH] = \frac{2.435 \times 10^{-3}}{0.0250} = 0.0974 \text{ mol dm}^{-3}

Marking:

  • [1] for correct moles calculation
  • [1] for correct concentration (0.0974 mol dm3^{-3})

(c) [3 marks]

This is a weak acid (CH3COOHCH_3COOH) – strong base (NaOHNaOH) titration. At the equivalence point, the solution contains CH3COONaCH_3COONa, which hydrolyses to give a solution with pH > 7 (approximately pH 8.7–9.0). The steep portion of the titration curve around the equivalence point spans approximately pH 7 to pH 10.

Phenolphthalein changes colour in the pH range 8.2–10.0, which falls within the steep pH change region around the equivalence point. Therefore, the colour change from colourless to pink will occur sharply at the equivalence point, giving an accurate result.

Marking:

  • [1] for identifying this as a weak acid–strong base titration with equivalence point pH > 7
  • [1] for stating the pH range of phenolphthalein (8.2–10.0)
  • [1] for explaining that this range falls within the steep region of the curve

19. Salt Hydrolysis and pH [6 marks]

(a) [1 mark]

Salt hydrolysis is the reaction of the ions of a salt with water to produce H+H^+ or OHOH^- ions, resulting in a solution that is not neutral (i.e., pH ≠ 7).

Marking:

  • [1] for a clear definition involving reaction of salt ions with water producing H+H^+ or OHOH^-

(b)(i) AlCl3AlCl_3Acidic [2 marks]

AlCl3AlCl_3 is a salt of a strong acid (HClHCl) and a weak base (Al(OH)3Al(OH)_3). The Al3+Al^{3+} ion undergoes hydrolysis:

Al3+(aq)+3H2O(l)Al(OH)3(s)+3H+(aq)Al^{3+}(aq) + 3H_2O(l) \rightleftharpoons Al(OH)_3(s) + 3H^+(aq)

Or more precisely (stepwise):

[Al(H2O)6]3+(aq)[Al(H2O)5(OH)]2+(aq)+H+(aq)[Al(H_2O)_6]^{3+}(aq) \rightleftharpoons [Al(H_2O)_5(OH)]^{2+}(aq) + H^+(aq)

The highly charged Al3+Al^{3+} ion polarises the coordinated water molecules, making it easier for a proton to be released. This produces H+H^+ ions, making the solution acidic.

Marking:

  • [1] for correct prediction (acidic)
  • [1] for correct hydrolysis equation

(b)(ii) K2CO3K_2CO_3Basic [2 marks]

K2CO3K_2CO_3 is a salt of a strong base (KOHKOH) and a weak acid (H2CO3H_2CO_3). The CO32CO_3^{2-} ion undergoes hydrolysis:

CO32(aq)+H2O(l)HCO3(aq)+OH(aq)CO_3^{2-}(aq) + H_2O(l) \rightleftharpoons HCO_3^-(aq) + OH^-(aq)

This produces OHOH^- ions, making the solution basic.

Marking:

  • [1] for correct prediction (basic)
  • [1] for correct hydrolysis equation

(b)(iii) NaNO3NaNO_3Neutral [1 mark]

NaNO3NaNO_3 is a salt of a strong acid (HNO3HNO_3) and a strong base (NaOHNaOH). Neither Na+Na^+ nor NO3NO_3^- undergoes hydrolysis, so the solution is neutral (pH = 7).

Marking:

  • [1] for correct prediction (neutral) with valid reasoning

Section C: Data Interpretation and Application

20. Polyprotic Acids and Titration Curves [15 marks]

(a) [3 marks]

The first equivalence point occurs when all H3PO4H_3PO_4 has been converted to H2PO4H_2PO_4^-:

H3PO4+NaOHNaH2PO4+H2OH_3PO_4 + NaOH \rightarrow NaH_2PO_4 + H_2O

At this point, the solution contains NaH2PO4NaH_2PO_4 (the amphoteric species H2PO4H_2PO_4^-). The pH is determined by the amphoteric behaviour of H2PO4H_2PO_4^-, which can act as both an acid and a base. For an amphoteric species, the pH is approximately:

pHpKa1+pKa22pH \approx \frac{pK_{a1} + pK_{a2}}{2}

pKa1=log(7.5×103)=2.12pK_{a1} = -\log(7.5 \times 10^{-3}) = 2.12

pKa2=log(6.2×108)=7.21pK_{a2} = -\log(6.2 \times 10^{-8}) = 7.21

pH2.12+7.212=9.332=4.674.7pH \approx \frac{2.12 + 7.21}{2} = \frac{9.33}{2} = 4.67 \approx 4.7

The pH is not 7 because H2PO4H_2PO_4^- is not a neutral salt — it is an amphoteric ion whose pH depends on the average of pKa1pK_{a1} and pKa2pK_{a2}.

Marking:

  • [1] for identifying the species present at the first equivalence point (H2PO4H_2PO_4^-)
  • [1] for recognising it is amphoteric
  • [1] for the calculation using (pKa1+pKa2)/2(pK_{a1} + pK_{a2})/2

(b) [3 marks]

The third ionisation constant Ka3=4.8×1013K_{a3} = 4.8 \times 10^{-13} is extremely small, meaning HPO42HPO_4^{2-} is an extremely weak acid. The third equivalence point would require:

HPO42+NaOHNa3PO4+H2OHPO_4^{2-} + NaOH \rightarrow Na_3PO_4 + H_2O

At the third equivalence point, the solution would contain PO43PO_4^{3-}, which is a relatively strong conjugate base (since Ka3K_{a3} is very small, KbK_b for PO43PO_4^{3-} is large). The pH at the third equivalence point would be very high (>12), and the pH change would be very gradual because the very weak third dissociation provides very little buffering capacity. Additionally, at such high pH, the effect of atmospheric CO2CO_2 dissolution becomes significant, making the endpoint indistinct. The very small Ka3K_{a3} means the third buffer region has very low capacity, and the steep pH rise is not sharp enough to detect with an indicator.

Marking:

  • [1] for noting that Ka3K_{a3} is extremely small
  • [1] for explaining that the third equivalence point pH would be very high / indistinct
  • [1] for explaining the lack of a sharp pH change / buffer capacity issue

(c) [2 marks]

At the first half-equivalence point, exactly half of the H3PO4H_3PO_4 has been neutralised:

[H3PO4]=[H2PO4][H_3PO_4] = [H_2PO_4^-]

Using the Henderson-Hasselbalch equation:

pH=pKa1+log[H2PO4]H3PO4]pH = pK_{a1} + \log\frac{[H_2PO_4^-]}{H_3PO_4]}

Since [H2PO4]=[H3PO4][H_2PO_4^-] = [H_3PO_4], the ratio =1= 1, and log(1)=0\log(1) = 0.

Therefore: pH=pKa1+0=pKa1pH = pK_{a1} + 0 = pK_{a1}

Marking:

  • [1] for stating that [H3PO4]=[H2PO4][H_3PO_4] = [H_2PO_4^-] at the half-equivalence point
  • [1] for applying Henderson-Hasselbalch and showing log(1)=0\log(1) = 0

(d) [2 marks]

At the second equivalence point, all H2PO4H_2PO_4^- has been converted to HPO42HPO_4^{2-}. The pH at this point is approximately:

pHpKa2+pKa32=7.21+12.322=19.532=9.77pH \approx \frac{pK_{a2} + pK_{a3}}{2} = \frac{7.21 + 12.32}{2} = \frac{19.53}{2} = 9.77

Phenolphthalein changes colour in the range pH 8.2–10.0. Since the equivalence point pH (~9.77) falls within this range, and the steep portion of the titration curve around the second equivalence point also falls within this range, phenolphthalein is a suitable indicator for the second equivalence point.

Marking:

  • [1] for calculating or estimating the pH at the second equivalence point
  • [1] for concluding that phenolphthalein is suitable because its range overlaps with the equivalence point pH

(e) [3 marks]

At the second equivalence point, all the original H3PO4H_3PO_4 has been converted to HPO42HPO_4^{2-}.

Moles of H3PO4H_3PO_4 initially =0.0250×0.100=2.50×103= 0.0250 \times 0.100 = 2.50 \times 10^{-3} mol

From the stoichiometry:

  • First equivalence: H3PO4+NaOHNaH2PO4+H2OH_3PO_4 + NaOH \rightarrow NaH_2PO_4 + H_2O (1:1)
  • Second equivalence: NaH2PO4+NaOHNa2HPO4+H2ONaH_2PO_4 + NaOH \rightarrow Na_2HPO_4 + H_2O (1:1)

At the second equivalence point, moles of HPO42=2.50×103HPO_4^{2-} = 2.50 \times 10^{-3} mol

Total volume =25.0+50.0=75.0= 25.0 + 50.0 = 75.0 cm³ =0.0750= 0.0750 dm³

[HPO42]=2.50×1030.0750=0.0333 mol dm3[HPO_4^{2-}] = \frac{2.50 \times 10^{-3}}{0.0750} = 0.0333 \text{ mol dm}^{-3}

Marking:

  • [1] for correct moles of HPO42HPO_4^{2-}
  • [1] for correct total volume
  • [1] for correct concentration (0.0333 mol dm3^{-3})

(f) [2 marks]

Ka2=[H+][HPO42][H2PO4]K_{a2} = \frac{[H^+][HPO_4^{2-}]}{[H_2PO_4^-]}

For the solution containing 0.10 mol dm3^{-3} NaH2PO4NaH_2PO_4 and 0.10 mol dm3^{-3} Na2HPO4Na_2HPO_4:

Using the Henderson-Hasselbalch equation:

pH=pKa2+log[HPO42][H2PO4]pH = pK_{a2} + \log\frac{[HPO_4^{2-}]}{[H_2PO_4^-]}

pKa2=log(6.2×108)=7.21pK_{a2} = -\log(6.2 \times 10^{-8}) = 7.21

Since [HPO42]=[H2PO4]=0.10[HPO_4^{2-}] = [H_2PO_4^-] = 0.10 mol dm3^{-3}:

pH=7.21+log0.100.10=7.21+log(1)=7.21+0=7.21pH = 7.21 + \log\frac{0.10}{0.10} = 7.21 + \log(1) = 7.21 + 0 = 7.21

Marking:

  • [1] for correct Ka2K_{a2} expression and pKa2pK_{a2} value
  • [1] for correct pH calculation (7.21)

Mark Summary:

SectionMarks
A: Q1–15 (MCQ)15
B: Q168
B: Q178
B: Q188
B: Q196
C: Q2015
Total60