Edexcel IAL · Thinka 原創模擬試題

2024 Edexcel IAL Chemistry (YCH11) 模擬試題連答案詳解

Thinka Jun 2024 Cambridge International A Level-Style Mock — Chemistry (YCH11)

440 550 分鐘2024
An original Thinka practice paper modelled on the structure and difficulty of the Jun 2024 Cambridge International A Level Chemistry (YCH11) paper. Not affiliated with or reproduced from Cambridge.

部分 WCH11/01 (Unit 1)

Answer all questions in the spaces provided. Section A consists of multiple choice questions. Section B consists of structured questions.
25 題目 · 80
題目 1 · 選擇題
1
An element \(X\) has the following successive ionisation energies in \(\text{kJ mol}^{-1}\):

\(IE_1 = 578\)
\(IE_2 = 1817\)
\(IE_3 = 2745\)
\(IE_4 = 11577\)
\(IE_5 = 14842\)

Which ion is most likely to be formed when element \(X\) reacts with chlorine?
  1. A.\(X^+\)
  2. B.\(X^{2+}\)
  3. C.\(X^{3+}\)
  4. D.\(X^{4+}\)
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解題

The successive ionisation energies show a very large jump between the third and fourth ionisation energies (from \(2745 \text{ kJ mol}^{-1}\) to \(11577 \text{ kJ mol}^{-1}\)). This indicates that the fourth electron is being removed from a lower principal quantum shell, which is closer to the nucleus and less shielded. Therefore, the element has three valence electrons in its outer shell and forms a \(3+\) ion, \(X^{3+}\), to achieve a stable noble gas configuration.

評分準則

1 mark: Correctly identifies the large jump between the 3rd and 4th ionisation energies and deduces the formation of \(X^{3+}\) (option C).
題目 2 · 選擇題
1
What is the maximum volume of carbon dioxide, in \(\text{dm}^3\), measured at room temperature and pressure (rtp), produced when \(10.0\text{ g}\) of calcium carbonate reacts completely with excess hydrochloric acid?

[Molar volume of gas at rtp = \(24.0\text{ dm}^3\text{ mol}^{-1}\); Molar mass of \(\text{CaCO}_3 = 100.1\text{ g mol}^{-1}\)]

Equation:
\(\text{CaCO}_3\text{(s)} + 2\text{HCl(aq)} \rightarrow \text{CaCl}_2\text{(aq)} + \text{CO}_2\text{(g)} + \text{H}_2\text{O(l)}\)
  1. A.\(1.20\text{ dm}^3\)
  2. B.\(2.40\text{ dm}^3\)
  3. C.\(4.80\text{ dm}^3\)
  4. D.\(24.0\text{ dm}^3\)
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解題

1. Calculate the number of moles of \(\text{CaCO}_3\):
\(n(\text{CaCO}_3) = \frac{10.0\text{ g}}{100.1\text{ g mol}^{-1}} \approx 0.0999\text{ mol}\)

2. From the balanced chemical equation, 1 mole of \(\text{CaCO}_3\) produces 1 mole of \(\text{CO}_2\). Therefore:
\(n(\text{CO}_2) = 0.0999\text{ mol}\)

3. Calculate the volume of \(\text{CO}_2\) at rtp:
\(V = n \times V_m = 0.0999\text{ mol} \times 24.0\text{ dm}^3\text{ mol}^{-1} \approx 2.40\text{ dm}^3\).

評分準則

1 mark: Correct calculation of the volume of carbon dioxide to give \(2.40\text{ dm}^3\) (option B).
題目 3 · 選擇題
1
Which of the following molecules has a bond angle of exactly \(120^\circ\)?
  1. A.\(\text{NH}_3\)
  2. B.\(\text{BF}_3\)
  3. C.\(\text{H}_2\text{O}\)
  4. D.\(\text{CH}_4\)
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解題

Boron trifluoride, \(\text{BF}_3\), has three bonding pairs of electrons and no lone pairs around the central boron atom. According to VSEPR theory, these electron pairs arrange themselves as far apart as possible to minimise repulsion, resulting in a trigonal planar geometry with a bond angle of exactly \(120^\circ\).

Other molecules:
- \(\text{NH}_3\) has 3 bonding pairs and 1 lone pair, giving a trigonal pyramidal shape with a bond angle of approximately \(107^\circ\).
- \(\text{H}_2\text{O}\) has 2 bonding pairs and 2 lone pairs, giving a non-linear (bent) shape with a bond angle of approximately \(104.5^\circ\).
- \(\text{CH}_4\) has 4 bonding pairs and no lone pairs, giving a tetrahedral shape with a bond angle of \(109.5^\circ\).

評分準則

1 mark: Correctly identifies \(\text{BF}_3\) (option B) as having a trigonal planar shape with a \(120^\circ\) bond angle.
題目 4 · 選擇題
1
In the free-radical substitution of methane with chlorine, which of the following equations represents a propagation step?
  1. A.\(\text{Cl}_2 \rightarrow 2\text{Cl}^\bullet\)
  2. B.\(\text{CH}_3^\bullet + \text{Cl}^\bullet \rightarrow \text{CH}_3\text{Cl}\)
  3. C.\(\text{CH}_4 + \text{Cl}^\bullet \rightarrow \text{CH}_3^\bullet + \text{HCl}\)
  4. D.\(\text{CH}_3^\bullet + \text{CH}_3^\bullet \rightarrow \text{C}_2\text{H}_6\)
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解題

A propagation step must involve a free radical reacting with a stable molecule to produce a new free radical and a new stable molecule.

- \(\text{Cl}_2 \rightarrow 2\text{Cl}^\bullet\) is an initiation step.
- \(\text{CH}_3^\bullet + \text{Cl}^\bullet \rightarrow \text{CH}_3\text{Cl}\) is a termination step.
- \(\text{CH}_3^\bullet + \text{CH}_3^\bullet \rightarrow \text{C}_2\text{H}_6\) is a termination step.
- \(\text{CH}_4 + \text{Cl}^\bullet \rightarrow \text{CH}_3^\bullet + \text{HCl}\) is a propagation step, where a chlorine radical abstracts a hydrogen atom from methane, producing a methyl radical and hydrogen chloride.

評分準則

1 mark: Identifies option C as the correct propagation step equation.
題目 5 · 選擇題
1
Which of the following alkenes exhibits geometric (E/Z) isomerism?
  1. A.But-1-ene
  2. B.Propene
  3. C.2-Methylbut-2-ene
  4. D.But-2-ene
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解題

For an alkene to exhibit geometric (E/Z) isomerism, each carbon atom of the double bond must be bonded to two different groups.

- In but-1-ene (\(\text{CH}_2=\text{CH}-\text{CH}_2-\text{CH}_3\)), the C1 carbon is bonded to two identical hydrogen atoms. No E/Z isomerism.
- In propene (\(\text{CH}_2=\text{CH}-\text{CH}_3\)), the C1 carbon is bonded to two identical hydrogen atoms. No E/Z isomerism.
- In 2-methylbut-2-ene (\((\text{CH}_3)_2\text{C}=\text{CH}-\text{CH}_3\)), the C2 carbon is bonded to two identical methyl groups. No E/Z isomerism.
- In but-2-ene (\(\text{CH}_3-\text{CH}=\text{CH}-\text{CH}_3\)), C2 is bonded to \(-\text{H}\) and \(-\text{CH}_3\) (two different groups), and C3 is bonded to \(-\text{H}\) and \(-\text{CH}_3\) (two different groups). Therefore, it exhibits geometric isomerism.

評分準則

1 mark: Correctly identifies but-2-ene (option D) as exhibiting geometric isomerism.
題目 6 · 選擇題
1
Which element in Period 3 has the highest first ionisation energy?
  1. A.Sodium
  2. B.Aluminium
  3. C.Silicon
  4. D.Argon
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解題

First ionisation energy generally increases across Period 3 (from sodium to argon) because the nuclear charge increases (more protons) while shielding remains approximately constant (electrons are added to the same main shell). This results in a stronger electrostatic attraction between the nucleus and the outermost electron, requiring more energy to remove it. Argon, as the noble gas at the end of the period, has the highest first ionisation energy.

評分準則

1 mark: Correctly identifies Argon (option D) as having the highest first ionisation energy in Period 3.
題目 7 · 選擇題
1
A hydrocarbon is found to contain \(85.7\%\) carbon by mass. What is the empirical formula of this hydrocarbon?

[Relative atomic masses: \(\text{C} = 12.0\), \(\text{H} = 1.0\)]
  1. A.\(\text{CH}\)
  2. B.\(\text{CH}_2\)
  3. C.\(\text{CH}_3\)
  4. D.\(\text{C}_2\text{H}_5\)
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解題

1. Assume \(100\text{ g}\) of the compound. Thus, mass of \(\text{C} = 85.7\text{ g}\) and mass of \(\text{H} = 100 - 85.7 = 14.3\text{ g}\).

2. Find the number of moles of each element:
- \(n(\text{C}) = \frac{85.7}{12.0} = 7.14\text{ mol}\)
- \(n(\text{H}) = \frac{14.3}{1.0} = 14.3\text{ mol}\)

3. Divide by the smallest number of moles (7.14):
- \(\text{C} = \frac{7.14}{7.14} = 1.0\)
- \(\text{H} = \frac{14.3}{7.14} = 2.0\)

Therefore, the empirical formula is \(\text{CH}_2\).

評分準則

1 mark: Correct calculation of empirical formula as \(\text{CH}_2\) (option B).
題目 8 · 選擇題
1
Which of the following single covalent bonds is the most polar?
  1. A.\(\text{C}-\text{H}\)
  2. B.\(\text{C}-\text{F}\)
  3. C.\(\text{C}-\text{Cl}\)
  4. D.\(\text{C}-\text{O}\)
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解題

Bond polarity is determined by the difference in electronegativity between the two bonded atoms. Fluorine (F) is the most electronegative element in the periodic table, so the difference in electronegativity between carbon (C) and fluorine (F) is greater than that between carbon and hydrogen (H), chlorine (Cl), or oxygen (O). Therefore, the \(\text{C}-\text{F}\) bond is the most polar.

評分準則

1 mark: Correctly identifies the \(\text{C}-\text{F}\) bond (option B) as the most polar bond.
題目 9 · 選擇題
1
The successive ionisation energies of an element \(X\) are shown below: \(578, 1817, 2745, 11578, 14831\text{ kJ mol}^{-1}\). What is the most likely formula of the oxide of \(X\)?
  1. A.\(\text{XO}\)
  2. B.\(\text{XO}_2\)
  3. C.\(\text{X}_2\text{O}_3\)
  4. D.\(\text{X}_3\text{O}_2\)
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解題

There is a very large jump between the third and fourth ionisation energies (from \(2745\text{ kJ mol}^{-1}\) to \(11578\text{ kJ mol}^{-1}\)). This indicates that the fourth electron is being removed from an inner, more stable shell. Thus, element \(X\) has three valence electrons and belongs to Group 3 (Group 13). Its common stable oxidation state is \(+3\), forming an oxide with the formula \(X_2O_3\).

評分準則

1 mark: Correctly identifies the oxide formula as \(X_2O_3\) (Option C) by locating the largest jump in ionisation energy between the 3rd and 4th values.
題目 10 · 選擇題
1
What is the volume, in \(\text{dm}^3\), occupied by \(0.200\text{ mol}\) of an ideal gas at a temperature of \(127^\circ\text{C}\) and a pressure of \(150\text{ kPa}\)? (Gas constant \(R = 8.31\text{ J mol}^{-1}\text{ K}^{-1}\))
  1. A.\(4.43\text{ dm}^3\)
  2. B.\(0.00443\text{ dm}^3\)
  3. C.\(44.3\text{ dm}^3\)
  4. D.\(1.41\text{ dm}^3\)
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解題

Using the ideal gas equation, \(PV = nRT\). First convert temperature to Kelvin: \(T = 127 + 273 = 400\text{ K}\). Convert pressure to Pascals: \(P = 150 \times 10^3\text{ Pa}\). Rearrange to solve for volume: \(V = \frac{nRT}{P} = \frac{0.200 \times 8.31 \times 400}{150 \times 10^3} = 4.432 \times 10^{-3}\text{ m}^3\). To convert to \(\text{dm}^3\), multiply by \(1000\), giving \(4.43\text{ dm}^3\).

評分準則

1 mark: Correctly calculates \(4.43\text{ dm}^3\) (Option A) by converting units and applying the ideal gas equation.
題目 11 · 選擇題
1
Which of the following molecules has a bond angle of approximately \(107^\circ\)?
  1. A.\(\text{BF}_3\)
  2. B.\(\text{NH}_4^+\)
  3. C.\(\text{NH}_3\)
  4. D.\(\text{H}_2\text{O}\)
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解題

Ammonia (\(\text{NH}_3\)) has a trigonal pyramidal shape with three bonding pairs and one lone pair of electrons. The lone pair-bonding pair repulsion reduces the bond angle from the tetrahedral angle of \(109.5^\circ\) to approximately \(107^\circ\). \(\text{BF}_3\) is trigonal planar (\(120^\circ\)), \(\text{NH}_4^+\) is tetrahedral (\(109.5^\circ\)), and \(\text{H}_2\text{O}\) is non-linear/bent (\(104.5^\circ\)).

評分準則

1 mark: Correctly identifies \(\text{NH}_3\) (Option C) as having a bond angle of \(107^\circ\).
題目 12 · 選擇題
1
In the free-radical substitution reaction of methane with chlorine, which of the following equations represents a propagation step?
  1. A.\(\text{Cl}_2 \rightarrow 2\text{Cl}^\bullet\)
  2. B.\(\text{CH}_4 + \text{Cl}^\bullet \rightarrow \text{CH}_3^\bullet + \text{HCl}\)
  3. C.\(\text{CH}_3^\bullet + \text{Cl}^\bullet \rightarrow \text{CH}_3\text{Cl}\)
  4. D.\(2\text{CH}_3^\bullet \rightarrow \text{C}_2\text{H}_6\)
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解題

A propagation step begins with a free radical reactant and ends with a different free radical product. The step \(\text{CH}_4 + \text{Cl}^\bullet \rightarrow \text{CH}_3^\bullet + \text{HCl}\) involves a chlorine radical reacting with methane to form a methyl radical and hydrogen chloride. Option A is an initiation step, and Options C and D are termination steps.

評分準則

1 mark: Correctly identifies the propagation step (Option B) which produces a new free radical.
題目 13 · 選擇題
1
The reaction of propene with hydrogen bromide primarily forms 2-bromopropane as the major product. Which statement explains this outcome?
  1. A.The secondary carbocation intermediate is more stable than the primary carbocation intermediate because of the electron-releasing inductive effect of two alkyl groups.
  2. B.The primary carbocation intermediate is more stable than the secondary carbocation intermediate because of the steric hindrance of the methyl group.
  3. C.Bromine is highly electronegative and prefers to attack the carbon with more hydrogen atoms.
  4. D.The reaction proceeds via a free-radical mechanism where the secondary radical is less stable.
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解題

The reaction proceeds via an electrophilic addition mechanism. Propene can form either a primary or a secondary carbocation intermediate. The secondary carbocation is more stable than the primary carbocation due to the positive inductive effect of the two electron-releasing methyl groups, which disperses the positive charge. This leads to the preferential formation of 2-bromopropane.

評分準則

1 mark: Selects Option A, recognising that carbocation stability dictates product distribution in electrophilic additions to unsymmetrical alkenes.
題目 14 · 選擇題
1
An organic compound contains \(40.0\%\) carbon, \(6.7\%\) hydrogen, and \(53.3\%\) oxygen by mass. If the relative molecular mass of the compound is \(180\), what is its molecular formula?
  1. A.\(\text{CH}_2\text{O}\)
  2. B.\(\text{C}_3\text{H}_6\text{O}_3\)
  3. C.\(\text{C}_6\text{H}_{12}\text{O}_6\)
  4. D.\(\text{C}_4\text{H}_8\text{O}_4\)
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解題

Find the molar ratio of elements: Carbon: \(40.0 / 12 = 3.33\); Hydrogen: \(6.7 / 1 = 6.7\); Oxygen: \(53.3 / 16 = 3.33\). Dividing by the smallest value (3.33) yields an empirical formula of \(\text{CH}_2\text{O}\) (empirical formula mass = \(12 + 2(1) + 16 = 30\)). Since the relative molecular mass is \(180\), the scale factor is \(180 / 30 = 6\). Thus, the molecular formula is \(\text{C}_6\text{H}_{12}\text{O}_6\).

評分準則

1 mark: Correctly determines the molecular formula is \(\text{C}_6\text{H}_{12}\text{O}_6\) (Option C).
題目 15 · 選擇題
1
Which statement correctly explains why the first ionisation energy of sulfur is lower than that of phosphorus?
  1. A.Sulfur has its outer electron in a \(3\text{d}\) subshell, which is higher in energy than the \(3\text{p}\) subshell of phosphorus.
  2. B.Phosphorus has a stable, half-filled \(3\text{p}\) subshell, whereas sulfur has paired electrons in a \(3\text{p}\) orbital, resulting in electron-electron repulsion.
  3. C.The shielding effect in sulfur is significantly greater than in phosphorus because sulfur has more inner-shell electrons.
  4. D.The atomic radius of sulfur is larger than that of phosphorus, which weakens the electrostatic attraction.
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解題

Phosphorus has the outer electronic configuration \(3\text{s}^2 3\text{p}^3\) with three singly occupied \(3\text{p}\) orbitals. Sulfur has the configuration \(3\text{s}^2 3\text{p}^4\) with one fully paired \(3\text{p}\) orbital. The spin-pair repulsion between the two electrons sharing the same orbital in sulfur makes it easier to remove one of these electrons, resulting in a lower first ionisation energy.

評分準則

1 mark: Selects Option B, attributing the decrease in first ionisation energy from P to S to electron pair repulsion in sulfur's \(3\text{p}\) orbital.
題目 16 · 選擇題
1
Which of the following compounds has the greatest degree of covalent character?
  1. A.\(\text{NaCl}\)
  2. B.\(\text{MgCl}_2\)
  3. C.\(\text{AlCl}_3\)
  4. D.\(\text{CaCl}_2\)
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解題

According to Fajan's rules, covalent character in ionic compounds increases with high charge density of the cation (high positive charge and small radius), which leads to greater polarisation of the anion. \(\text{Al}^{3+}\) has a higher positive charge (\(+3\)) and a smaller ionic radius compared to \(\text{Na}^+\), \(\text{Mg}^{2+}\), and \(\text{Ca}^{2+}\). Therefore, the aluminium ion is highly polarising, giving \(\text{AlCl}_3\) the greatest covalent character.

評分準則

1 mark: Identifies \(\text{AlCl}_3\) (Option C) as having the greatest covalent character due to high polarising power of the \(\text{Al}^{3+}\) cation.
題目 17 · 選擇題
1
The table shows the first five successive ionization energies, in \(\text{kJ mol}^{-1}\), of a Period 3 element, \(X\): \(1^{\text{st}} = 578\), \(2^{\text{nd}} = 1817\), \(3^{\text{rd}} = 2745\), \(4^{\text{th}} = 11577\), \(5^{\text{th}} = 14842\). What is the formula of the oxide of \(X\)?
  1. A.\(\text{X}_2\text{O}\)
  2. B.\(\text{XO}\)
  3. C.\(\text{X}_2\text{O}_3\)
  4. D.\(\text{XO}_2\)
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解題

There is a very large increase between the third and fourth ionization energies (from 2745 to 11577 \(\text{kJ mol}^{-1}\)). This indicates that the fourth electron is removed from an inner quantum shell, meaning the element has three valence electrons and belongs to Group 13 (Group 3). The Period 3 element in this group is aluminium, which forms an oxide with the formula \(\text{X}_2\text{O}_3\).

評分準則

1 mark for correct option C. Reject other options as they correspond to incorrect group oxidation states.
題目 18 · 選擇題
1
A sample of 0.1215 g of magnesium ribbon is reacted with an excess of dilute hydrochloric acid: \(\text{Mg(s)} + 2\text{HCl(aq)} \rightarrow \text{MgCl}_2\text{(aq)} + \text{H}_2\text{(g)}\). What is the volume of hydrogen gas produced, measured at room temperature and pressure (r.t.p.)? [Molar mass of \(\text{Mg} = 24.3 \text{ g mol}^{-1}\); Molar volume of gas at r.t.p. = \(24.0 \text{ dm}^3 \text{ mol}^{-1}\)]
  1. A.60.0 \(\text{cm}^3\)
  2. B.120 \(\text{cm}^3\)
  3. C.240 \(\text{cm}^3\)
  4. D.1200 \(\text{cm}^3\)
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解題

First, calculate the moles of magnesium: \(\text{moles of Mg} = 0.1215 \text{ g} / 24.3 \text{ g mol}^{-1} = 0.00500 \text{ mol}\). According to the equation, 1 mole of Mg produces 1 mole of hydrogen gas, so \(0.00500 \text{ mol}\) of \(\text{H}_2\) is produced. The volume of hydrogen gas is \(0.00500 \text{ mol} \times 24.0 \text{ dm}^3 \text{ mol}^{-1} = 0.120 \text{ dm}^3 = 120 \text{ cm}^3\).

評分準則

1 mark for correct option B. Reject options with calculation errors or incorrect conversions.
題目 19 · 選擇題
1
Which of the following species has a bond angle of \(104.5^\circ\)?
  1. A.\(\text{NH}_4^+\)
  2. B.\(\text{NH}_3\)
  3. C.\(\text{NH}_2^-\)
  4. D.\(\text{CO}_2\)
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解題

In the amide ion (\(\text{NH}_2^-\)), the nitrogen atom has 2 bonding pairs of electrons and 2 lone pairs of electrons, making 4 electron pairs in total. This gives it a tetrahedral arrangement of electron pairs, but a bent shape. Each lone pair repels more strongly than bonding pairs, reducing the bond angle from the tetrahedral angle of \(109.5^\circ\) by approximately \(2.5^\circ\) per lone pair, resulting in a bond angle of \(104.5^\circ\).

評分準則

1 mark for correct option C. Reject other options: \(\text{NH}_4^+\) is tetrahedral with a bond angle of \(109.5^\circ\); \(\text{NH}_3\) is trigonal pyramidal with a bond angle of \(107^\circ\); \(\text{CO}_2\) is linear with a bond angle of \(180^\circ\).
題目 20 · 選擇題
1
When propene, \(\text{CH}_3\text{CH}=\text{CH}_2\), reacts with hydrogen bromide, \(\text{HBr}\), the major organic product is 2-bromopropane. Which statement correctly explains this observation?
  1. A.The secondary carbocation intermediate is more stable than the primary carbocation intermediate due to the inductive effect of two alkyl groups.
  2. B.The primary carbocation intermediate is more stable than the secondary carbocation intermediate due to steric hindrance.
  3. C.The secondary carbocation is less stable, making it more reactive and forming the product faster.
  4. D.The reaction is a nucleophilic addition where the nucleophile prefers the middle carbon atom.
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解題

Electrophilic addition of \(\text{HBr}\) to propene involves the formation of a carbocation intermediate. The addition of the proton can form either a primary carbocation (\(\text{CH}_3\text{CH}_2\text{CH}_2^+\)) or a secondary carbocation (\(\text{CH}_3\text{CH}^+\text{CH}_3\)). The secondary carbocation is more stable because it has two electron-releasing methyl groups that disperse the positive charge. The major product, 2-bromopropane, is formed via this more stable secondary carbocation intermediate.

評分準則

1 mark for correct option A.
題目 21 · Structured Short Answer & Calculation
12
This question is about bromine, its isotopes, ionization energy, and mole calculations. (a) Bromine exists naturally as two stable isotopes, \( ^{79}\text{Br} \) (abundance 50.7%) and \( ^{81}\text{Br} \) (abundance 49.3%). In the mass spectrum of molecular bromine, \( \text{Br}_2 \), three peaks are observed in the molecular ion region at m/z 158, 160, and 162. (i) Identify the molecular ion species responsible for each of these three peaks, including charges. [2 marks] (ii) Calculate the relative ratio of the peak heights of these three peaks, showing your working. [2 marks] (b) Write an equation, including state symbols, to represent the process corresponding to the second ionization energy of bromine. [2 marks] (c) Explain why the first ionization energy of selenium (atomic number 34) is lower than that of arsenic (atomic number 33), even though selenium has more protons. [3 marks] (d) Calculate the number of bromine atoms present in a 1.20 g sample of liquid bromine, \( \text{Br}_2 \). (Assume the relative atomic mass of bromine is \( A_r(\text{Br}) = 79.9 \), and Avogadro's constant, \( L = 6.02 \times 10^{23} \text{ mol}^{-1} \).) [3 marks]
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解題

(a)(i) The molecular ions are: m/z 158: \( [^{79}\text{Br}^{79}\text{Br}]^+ \), m/z 160: \( [^{79}\text{Br}^{81}\text{Br}]^+ \), m/z 162: \( [^{81}\text{Br}^{81}\text{Br}]^+ \). (ii) The probability of each combination is: m/z 158: \( 0.507 \times 0.507 = 0.257 \); m/z 160: \( 2 \times 0.507 \times 0.493 = 0.500 \); m/z 162: \( 0.493 \times 0.493 = 0.243 \). The ratio is 0.257 : 0.500 : 0.243, which is approximately 1 : 1.95 : 0.95 (or 1 : 2 : 1). (b) \( \text{Br}^+(g) \to \text{Br}^{2+}(g) + e^- \). (c) Arsenic has the outer electron configuration \( 4s^2 4p^3 \) (a stable half-filled 4p subshell). Selenium has \( 4s^2 4p^4 \). The fourth 4p electron in selenium is paired in an orbital. Repulsion between these two paired electrons in the same orbital makes it easier to remove an electron from selenium than from the half-filled p subshell of arsenic, despite selenium having a higher nuclear charge. (d) Moles of \( \text{Br}_2 = 1.20 / (2 \times 79.9) = 1.20 / 159.8 = 0.007509 \text{ mol} \). Moles of Br atoms = \( 2 \times 0.007509 = 0.01502 \text{ mol} \). Number of atoms = \( 0.01502 \times 6.02 \times 10^{23} = 9.04 \times 10^{21} \).

評分準則

(a)(i) 1 mark for any two correct species, 2 marks for all three correct (including + charge). (ii) 1 mark for correct calculation of probabilities, 1 mark for correct ratio (e.g., 1:1.95:0.95 or 1:2:1). (b) 1 mark for correct chemical species, 1 mark for correct state symbols (gas). (c) 1 mark for stating electronic configurations or noting half-filled subshell in As vs paired electrons in Se. 1 mark for identifying electron pairing in the 4p orbital of Se. 1 mark for identifying that electron-electron repulsion makes the paired electron easier to remove. (d) 1 mark for calculating moles of \( \text{Br}_2 \). 1 mark for multiplying moles of molecules by 2 to get moles of atoms. 1 mark for final correct value to 3 significant figures.
題目 22 · Structured Short Answer & Calculation
12
This question is about formula determination, the ideal gas equation, and reactions of hydrocarbons. (a) An organic compound X is a hydrocarbon containing 85.7% carbon and 14.3% hydrogen by mass. Calculate the empirical formula of compound X. [2 marks] (b) In a gas syringe at 373 K and a pressure of \( 1.01 \times 10^5 \text{ Pa} \), a 0.285 g sample of gaseous hydrocarbon X occupied a volume of 126 cm\(^3\). Calculate the molar mass of X and deduce its molecular formula. [4 marks] (Gas constant, \( R = 8.31 \text{ J mol}^{-1} \text{ K}^{-1} \)) (c) Compound X is an alkene. It reacts with hydrogen bromide to form a single bromoalkane product, Y. (i) Write a chemical equation for this reaction. [1 mark] (ii) State and explain the percentage atom economy for the production of Y in this reaction. [2 marks] (d) Compound Z is a hydrated metal sulfate with the formula \( \text{MSO}_4 \cdot x\text{H}_2\text{O} \). When 4.35 g of Z was heated strongly to constant mass, 2.51 g of anhydrous metal sulfate \( \text{MSO}_4 \) remained. The molar mass of the anhydrous metal sulfate, \( \text{MSO}_4 \), is \( 151.9 \text{ g mol}^{-1} \). Determine the value of \( x \) in the formula. [3 marks]
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解題

(a) Moles of C = 85.7 / 12.0 = 7.14; Moles of H = 14.3 / 1.0 = 14.3. Ratio is 1 : 2, so the empirical formula is \( \text{CH}_2 \). (b) Rearranging \( pV = nRT \) to find \( n = pV / RT \). Volume in \( \text{m}^3 = 126 \times 10^{-6} \text{ m}^3 \). \( n = (1.01 \times 10^5 \times 126 \times 10^{-6}) / (8.31 \times 373) = 12.726 / 3099.63 = 0.004106 \text{ mol} \). Molar mass \( M = 0.285 / 0.004106 = 69.4 \text{ g mol}^{-1} \). Empirical mass of \( \text{CH}_2 = 14.0 \text{ g mol}^{-1} \). \( 69.4 / 14.0 \approx 5 \), so the molecular formula is \( \text{C}_5\text{H}_{10} \). (c)(i) \( \text{C}_5\text{H}_{10} + \text{HBr} \to \text{C}_5\text{H}_{11}\text{Br} \). (ii) Atom economy is 100%. This is an addition reaction, so there is only one product, meaning all reactant atoms are converted into the desired product. (d) Mass of water lost = 4.35 - 2.51 = 1.84 g. Moles of anhydrous salt = 2.51 / 151.9 = 0.01652 mol. Moles of water lost = 1.84 / 18.0 = 0.1022 mol. Ratio \( x = 0.1022 / 0.01652 = 6.19 \approx 6 \).

評分準則

(a) 1 mark for correct mole calculations of C and H, 1 mark for correct empirical formula. (b) 1 mark for volume conversion to \( \text{m}^3 \), 1 mark for calculating correct moles of gas, 1 mark for finding molar mass (69.4 g/mol), 1 mark for deducing \( \text{C}_5\text{H}_{10} \). (c)(i) 1 mark for correct balanced equation. (ii) 1 mark for stating 100%, 1 mark for explaining that it is an addition reaction / only one product is formed. (d) 1 mark for finding mass of water lost (1.84 g), 1 mark for calculating moles of anhydrous salt and moles of water, 1 mark for deducing \( x = 6 \).
題目 23 · Structured Short Answer & Calculation
12
This question is about alkenes, stereoisomerism, and addition reaction mechanisms. (a) Pent-2-ene is an alkene that exists as stereoisomers. (i) Draw the skeletal structures of \( E \)-pent-2-ene and \( Z \)-pent-2-ene, labeling each isomer clearly. [2 marks] (ii) Explain why pent-2-ene exhibits stereoisomerism, whereas pent-1-ene does not. [2 marks] (b) Pent-1-ene reacts with hydrogen bromide, \( \text{HBr} \), to form a mixture of 1-bromopentane and 2-bromopentane. (i) Draw the mechanism for the reaction of pent-1-ene with \( \text{HBr} \) to form the major product. Include curly arrows, relevant partial charges (\( \delta^+ / \delta^- \)), the structure of the carbocation intermediate, and the structure of the final major product. [5 marks] (ii) Explain, in terms of carbocation stability, why 2-bromopentane is the major product in this reaction. [3 marks]
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解題

(a)(i) \( E \)-pent-2-ene has the methyl and ethyl groups on opposite sides of the double bond; \( Z \)-pent-2-ene has them on the same side. (ii) Pent-2-ene has restricted rotation around the carbon-carbon double bond, and each carbon of the double bond is attached to two different groups (H and methyl; H and ethyl). Pent-1-ene does not show stereoisomerism because one of the C=C carbons is attached to two identical groups (two hydrogen atoms). (b)(i) Mechanism: 1. Draw pent-1-ene and H-Br with dipoles \( \text{H}^{\delta+}-\text{Br}^{\delta-} \). 2. Curly arrow from the C=C double bond to the electrophilic H atom. 3. Curly arrow from the H-Br bond to the Br atom. 4. Draw the secondary carbocation intermediate: \( \text{CH}_3-\text{CH}^+-\text{CH}_2-\text{CH}_2-\text{CH}_3 \) and bromide ion with a lone pair. 5. Curly arrow from the lone pair of \( \text{Br}^- \) to the positive carbon. 6. Draw 2-bromopentane. (b)(ii) The reaction proceeds via a secondary carbocation rather than a primary carbocation. The secondary carbocation has two electron-releasing alkyl groups which stabilize the positive charge through the positive inductive effect, making it more stable than the primary carbocation, which only has one alkyl group. Thus, the secondary carbocation forms faster, leading to the major product.

評分準則

(a)(i) 1 mark for each correctly drawn and labeled skeletal structure. (ii) 1 mark for stating restricted rotation about double bond and two different groups on both carbons of pent-2-ene, 1 mark for stating that pent-1-ene has two identical groups (hydrogen atoms) on one of the double-bonded carbons. (b)(i) 1 mark for dipole on H-Br and curly arrow from C=C to H, 1 mark for curly arrow from H-Br bond to Br, 1 mark for correct structure of secondary carbocation, 1 mark for curly arrow from lone pair on \( \text{Br}^- \) to carbon with positive charge, 1 mark for correct structure of 2-bromopentane. (b)(ii) 1 mark for identifying the secondary carbocation intermediate as more stable than the primary carbocation, 1 mark for explaining that alkyl groups are electron-releasing (positive inductive effect), 1 mark for linking stability to the faster rate of major product formation.
題目 24 · Structured Short Answer & Calculation
12
This question is about molecular shapes, bonding, and bond angles. (a) Predict the shape and bond angle of each of the following species. Explain your predictions using Valence Shell Electron Pair Repulsion (VSEPR) theory. (i) Ammonia, \( \text{NH}_3 \). [3 marks] (ii) Boron trifluoride, \( \text{BF}_3 \). [3 marks] (b) Ammonia and boron trifluoride react to form an addition compound, \( \text{H}_3\text{N}\cdot\text{BF}_3 \). (i) Identify the type of bond formed between the nitrogen and boron atoms, and explain how it is formed. [2 marks] (ii) Explain how the shapes and bond angles around the nitrogen and boron atoms change when this compound is formed. [4 marks]
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解題

(a)(i) Ammonia has a trigonal pyramidal shape with a bond angle of \( 107^\circ \). Nitrogen has 3 bonding pairs and 1 lone pair of electrons (total 4 pairs). These pairs repel to maximize separation. Lone pair-bonding pair repulsion is stronger than bonding pair-bonding pair repulsion, squeezing the bond angle from the tetrahedral angle of \( 109.5^\circ \) to \( 107^\circ \). (ii) Boron trifluoride has a trigonal planar shape with a bond angle of \( 120^\circ \). Boron has 3 bonding pairs and 0 lone pairs of electrons. These three pairs repel equally to minimize repulsion, resulting in a planar shape with equal bond angles of \( 120^\circ \). (b)(i) Dative covalent (coordinate) bond. It is formed when the nitrogen atom donates both electrons from its lone pair to the electron-deficient boron atom (which has a vacant orbital). (b)(ii) Around nitrogen, the shape changes from trigonal pyramidal to tetrahedral, and the bond angle increases from \( 107^\circ \) to \( 109.5^\circ \) because the lone pair becomes a bonding pair, eliminating the extra repulsion. Around boron, the shape changes from trigonal planar to tetrahedral, and the bond angle decreases from \( 120^\circ \) to \( 109.5^\circ \) because boron now has 4 bonding pairs instead of 3, resulting in tetrahedral geometry.

評分準則

(a)(i) 1 mark for trigonal pyramidal shape and \( 107^\circ \) angle. 1 mark for stating there are 3 bonding pairs and 1 lone pair. 1 mark for explaining that lone pair-bonding pair repulsion is stronger than bonding pair-bonding pair repulsion. (ii) 1 mark for trigonal planar shape and \( 120^\circ \) angle. 1 mark for stating 3 bonding pairs and 0 lone pairs. 1 mark for stating that the 3 bonding pairs repel equally. (b)(i) 1 mark for naming dative covalent / coordinate bond. 1 mark for explaining that both electrons in the shared pair come from nitrogen's lone pair. (b)(ii) 1 mark for stating N shape becomes tetrahedral and angle increases to \( 109.5^\circ \). 1 mark for explaining this is due to lone pair becoming a bonding pair. 1 mark for stating B shape becomes tetrahedral and angle decreases to \( 109.5^\circ \). 1 mark for explaining this is due to increasing from 3 to 4 bonding pairs.
題目 25 · Structured Short Answer & Calculation
12
This question is about propane, its reactions, and stoichiometry. (a) Propane reacts with chlorine gas in the presence of ultraviolet (UV) light to produce 2-chloropropane. (i) State the role of the UV light in this reaction. [1 mark] (ii) Write equations for the initiation step, the two propagation steps to form 2-chloropropane, and a termination step that yields a trace hydrocarbon product of molecular formula \( \text{C}_6\text{H}_{14} \). [5 marks] (b) Explain how the formation of the hydrocarbon \( \text{C}_6\text{H}_{14} \) provides evidence for a free-radical mechanism. [2 marks] (c) Propane is burnt as a fuel. (i) Write the balanced chemical equation for the complete combustion of propane. [1 mark] (ii) Calculate the minimum volume of oxygen gas (measured at room temperature and pressure, r.t.p.) required for the complete combustion of 4.40 g of propane. (Molar volume of gas at r.t.p. is \( 24.0 \text{ dm}^3 \text{ mol}^{-1} \), molar mass of propane is \( 44.0 \text{ g mol}^{-1} \).) [3 marks]
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解題

(a)(i) UV light provides the energy to cause homolytic fission of the chlorine molecule into chlorine radicals. (ii) Initiation: \( \text{Cl}_2 \xrightarrow{UV} 2\text{Cl}^\bullet \). Propagation 1: \( \text{CH}_3\text{CH}_2\text{CH}_3 + \text{Cl}^\bullet \to \text{CH}_3\text{CH}^\bullet\text{CH}_3 + \text{HCl} \). Propagation 2: \( \text{CH}_3\text{CH}^\bullet\text{CH}_3 + \text{Cl}_2 \to \text{CH}_3\text{CHClCH}_3 + \text{Cl}^\bullet \). Termination to make \( \text{C}_6\text{H}_{14} \): \( 2\text{C}_3\text{H}_7^\bullet \to \text{C}_6\text{H}_{14} \) (accept structural representation like isopropyl or propyl radicals combining). (b) The trace product \( \text{C}_6\text{H}_{14} \) (which is a larger alkane) can only be formed when two propyl / isopropyl free radicals collide and combine (dimerization). This confirms that free radicals are generated as intermediates in the reaction. (c)(i) \( \text{C}_3\text{H}_8 + 5\text{O}_2 \to 3\text{CO}_2 + 4\text{H}_2\text{O} \). (ii) Moles of propane = 4.40 / 44.0 = 0.100 mol. Moles of oxygen required = \( 5 \times 0.100 = 0.500 \text{ mol} \). Volume of oxygen = \( 0.500 \times 24.0 = 12.0 \text{ dm}^3 \).

評分準則

(a)(i) 1 mark for homolytic fission of Cl-Cl bond / creation of chlorine radicals. (ii) 1 mark for initiation step. 1 mark for first propagation step (showing radical on the carbon). 1 mark for second propagation step. 1 mark for termination step showing combination of two propyl radicals. 1 mark for correct radical dots on all radicals. (b) 1 mark for stating that it is formed by combination of two propyl radicals, 1 mark for explaining that this dimerisation confirms the presence of radical intermediates. (c)(i) 1 mark for correct balanced equation. (ii) 1 mark for calculating moles of propane (0.100 mol), 1 mark for using stoichiometry to get moles of oxygen (0.500 mol), 1 mark for correct final volume of oxygen with units (12.0 dm3).

部分 WCH12/01R (Unit 2)

Answer all questions in Section A, B, and C. Section A consists of multiple choice questions.
25 題目 · 80
題目 1 · 選擇題
1
The standard enthalpies of combustion of carbon, hydrogen, and ethanoic acid are \(-394\text{ kJ mol}^{-1}\), \(-286\text{ kJ mol}^{-1}\), and \(-874\text{ kJ mol}^{-1}\) respectively. What is the standard enthalpy of formation of ethanoic acid, \(\text{CH}_3\text{COOH}(l)\), in \(\text{kJ mol}^{-1}\)?
  1. A.\(-486\text{ kJ mol}^{-1}\)
  2. B.\(-1360\text{ kJ mol}^{-1}\)
  3. C.\(+486\text{ kJ mol}^{-1}\)
  4. D.\(-806\text{ kJ mol}^{-1}\)
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解題

The standard enthalpy of formation of ethanoic acid corresponds to the equation: \(2\text{C}(s) + 2\text{H}_2(g) + \text{O}_2(g) \rightarrow \text{CH}_3\text{COOH}(l)\). Using Hess's Law and enthalpies of combustion: \(\Delta_f H^{\theta} = \sum \Delta_c H^{\theta}(\text{reactants}) - \sum \Delta_c H^{\theta}(\text{products})\). Therefore: \(\Delta_f H^{\theta} = [2 \times (-394) + 2 \times (-286)] - [-874] = [-788 - 572] + 874 = -1360 + 874 = -486\text{ kJ mol}^{-1}\).

評分準則

[1] Correct calculation of the standard enthalpy of formation, including correct sign and units: -486 kJ mol^-1.
題目 2 · 選擇題
1
Which of the following describes and explains the trend in thermal stability of Group 2 nitrates going down the group?
  1. A.Thermal stability increases because the ionic radius of the cation increases, decreasing its polarizing power and polarizing the nitrate anion less.
  2. B.Thermal stability increases because the ionic radius of the cation decreases, increasing its polarizing power and polarizing the nitrate anion less.
  3. C.Thermal stability decreases because the ionic radius of the cation increases, increasing its polarizing power and polarizing the nitrate anion more.
  4. D.Thermal stability decreases because the ionic radius of the cation decreases, decreasing its polarizing power and polarizing the nitrate anion more.
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解題

Going down Group 2, the cationic radius increases while the charge remains 2+. This decreases the charge density and therefore the polarizing power of the cation. Consequently, the cation polarizes the nitrate anion less, making the N-O bonds in the anion harder to break, which increases the thermal stability of the nitrate.

評分準則

[1] Correctly states that thermal stability increases down the group because the increased cationic radius reduces its polarizing power, leading to less polarization of the nitrate anion.
題目 3 · 選擇題
1
An organic compound \(X\) has the molecular formula \(\text{C}_3\text{H}_6\text{O}_2\). The infrared spectrum of \(X\) shows a very broad, strong absorption band in the range \(2500\text{--}3300\text{ cm}^{-1}\) and a sharp, strong absorption band at \(1715\text{ cm}^{-1}\). Which of the following is the most likely identity of compound \(X\)?
  1. A.Ethyl methanoate
  2. B.Propanoic acid
  3. C.Propan-1,2-diol
  4. D.3-hydroxypropanal
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解題

The very broad absorption band between \(2500\text{--}3300\text{ cm}^{-1}\) is characteristic of the O-H stretching in carboxylic acids. The sharp absorption at \(1715\text{ cm}^{-1}\) corresponds to the C=O stretching in a carbonyl group. Together with the molecular formula \(\text{C}_3\text{H}_6\text{O}_2\), this indicates that compound \(X\) is propanoic acid.

評分準則

[1] Correctly identifies propanoic acid based on the presence of carboxylic acid O-H and C=O functional groups from the infrared data.
題目 4 · 選擇題
1
Which of the following substances has London (dispersion) forces and permanent dipole-dipole forces, but does NOT form hydrogen bonds in the liquid state?
  1. A.\(\text{CH}_3\text{F}\)
  2. B.\(\text{HF}\)
  3. C.\(\text{CH}_3\text{OH}\)
  4. D.\(\text{CF}_4\)
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解題

\(\text{CH}_3\text{F}\) is polar due to the highly polar C-F bond, so it has permanent dipole-dipole forces as well as London forces. However, it does not form hydrogen bonds because the hydrogen atoms are bonded to carbon, not directly to the highly electronegative fluorine atom. \(\text{HF}\) and \(\text{CH}_3\text{OH}\) form hydrogen bonds, whereas \(\text{CF}_4\) is symmetrical and non-polar, possessing only London forces.

評分準則

[1] Correctly identifies CH3F as a polar molecule without hydrogen-bonding capability between its molecules.
題目 5 · 選擇題
1
For a gas-phase reaction, if the temperature is increased from \(T\) to \(T_2\) (where \(T_2 > T\)), which of the following statements about the Maxwell-Boltzmann distribution curve and the fraction of molecules with energy greater than or equal to the activation energy (\(E_a\)) is correct?
  1. A.The peak of the curve shifts to the right and is lower; the fraction of molecules with \(E \ge E_a\) increases.
  2. B.The peak of the curve shifts to the left and is higher; the fraction of molecules with \(E \ge E_a\) increases.
  3. C.The peak of the curve shifts to the right and is higher; the fraction of molecules with \(E \ge E_a\) decreases.
  4. D.The peak of the curve shifts to the left and is lower; the fraction of molecules with \(E \ge E_a\) decreases.
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解題

As temperature increases, the Maxwell-Boltzmann distribution curve flattens, shifting its peak to the right (higher energy) and downwards (lower peak height). Due to this shift, the area under the curve to the right of the activation energy line (\(E_a\)) increases, meaning the fraction of molecules with \(E \ge E_a\) increases.

評分準則

[1] Correctly identifies that the peak shifts to the right and is lower, and that the fraction of molecules with energy greater than or equal to Ea increases.
題目 6 · 選擇題
1
Which of the following halogenoalkanes reacts most rapidly with aqueous silver nitrate in ethanol?
  1. A.1-chlorobutane
  2. B.1-iodobutane
  3. C.2-chloro-2-methylpropane
  4. D.2-iodo-2-methylpropane
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解題

The rate of hydrolysis of halogenoalkanes is determined by the strength of the C-halogen bond and the mechanism of the reaction. Iodoalkanes are more reactive than chloroalkanes because the C-I bond is weaker (lower bond enthalpy) than the C-Cl bond. Furthermore, tertiary halogenoalkanes (such as 2-iodo-2-methylpropane) react much faster than primary halogenoalkanes because they hydrolyze via the stable tertiary carbocation in the \(S_N1\) mechanism. Thus, 2-iodo-2-methylpropane is the most reactive.

評分準則

[1] Correctly identifies 2-iodo-2-methylpropane as the fastest reacting halogenoalkane based on carbon-halogen bond strength and the tertiary carbocation stabilization.
題目 7 · 選擇題
1
When solid potassium iodide, \(\text{KI}(s)\), reacts with concentrated sulfuric acid, \(\text{H}_2\text{SO}_4(l)\), several products are formed. Which of the following lists only the reduction products of sulfur in this reaction?
  1. A.\(\text{SO}_2\), \(\text{S}\), and \(\text{H}_2\text{S}\)
  2. B.\(\text{I}_2\), \(\text{SO}_2\), and \(\text{H}_2\text{S}\)
  3. C.\(\text{SO}_2\), \(\text{S}\), and \(\text{KHSO}_4\)
  4. D.\(\text{H}_2\text{S}\), \(\text{S}\), and \(\text{HI}\)
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解題

In this reaction, iodide is a strong reducing agent that reduces sulfur in sulfuric acid from an oxidation state of +6 to +4 in \(\text{SO}_2\), 0 in \(\text{S}\), and -2 in \(\text{H}_2\text{S}\). \(\text{I}_2\) is an oxidation product of iodide, whereas \(\text{KHSO}_4\) and \(\text{HI}\) are products of acid-base reactions where the oxidation state of sulfur remains unchanged (+6).

評分準則

[1] Correctly identifies the list of only the reduction products of sulfur: SO2, S, and H2S.
題目 8 · 選擇題
1
In a calorimetry experiment, \(50.0\text{ cm}^3\) of \(1.00\text{ mol dm}^{-3}\) hydrochloric acid was mixed with \(50.0\text{ cm}^3\) of \(1.00\text{ mol dm}^{-3}\) sodium hydroxide solution. Both solutions were initially at \(20.0^\circ\text{C}\). The maximum temperature reached was \(26.8^\circ\text{C}\). Assume the density of the final mixture is \(1.00\text{ g cm}^{-3}\) and its specific heat capacity is \(4.18\text{ J g}^{-1}\text{ K}^{-1}\). What is the enthalpy change of neutralization, \(\Delta_{neut}H\), in \(\text{kJ mol}^{-1}\)?
  1. A.\(-56.8\text{ kJ mol}^{-1}\)
  2. B.\(-113.7\text{ kJ mol}^{-1}\)
  3. C.\(-28.4\text{ kJ mol}^{-1}\)
  4. D.\(+56.8\text{ kJ mol}^{-1}\)
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解題

The total volume of the mixture is \(100.0\text{ cm}^3\), so its mass \(m = 100.0\text{ g}\). The temperature change \(\Delta T = 26.8 - 20.0 = 6.8\text{ K}\). The heat released is \(q = m \times c \times \Delta T = 100.0 \times 4.18 \times 6.8 = 2842.4\text{ J} = 2.8424\text{ kJ}\). The number of moles of water formed is \(n = 1.00 \times 0.0500 = 0.0500\text{ mol}\). Thus, the enthalpy change of neutralization is \(\Delta_{neut}H = -\frac{q}{n} = -\frac{2.8424}{0.0500} = -56.8\text{ kJ mol}^{-1}\).

評分準則

[1] Correct calculation of the enthalpy of neutralization to 3 significant figures, including the negative sign: -56.8 kJ mol^-1.
題目 9 · 選擇題
1
Which of the following statements correctly explains why hydrogen fluoride, \(\text{HF}\), has a significantly higher boiling temperature than hydrogen chloride, \(\text{HCl}\), while hydrogen iodide, \(\text{HI}\), has a higher boiling temperature than hydrogen chloride, \(\text{HCl}\)?
  1. A.\(\text{HF}\) has stronger permanent dipole-dipole forces than \(\text{HCl}\); \(\text{HI}\) has hydrogen bonding.
  2. B.Hydrogen bonding is present in \(\text{HF}\) but not in \(\text{HCl}\); London forces are stronger in \(\text{HI}\) than in \(\text{HCl}\).
  3. C.\(\text{HF}\) is ionic; \(\text{HI}\) has stronger permanent dipole-dipole forces than \(\text{HCl}\).
  4. D.London forces are stronger in \(\text{HF}\) than in \(\text{HCl}\); permanent dipole-dipole forces are stronger in \(\text{HI}\) than in \(\text{HCl}\).
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解題

Hydrogen bonding is present between \(\text{HF}\) molecules due to the highly electronegative fluorine atom bonded to hydrogen. \(\text{HCl}\) does not form hydrogen bonds; it only has permanent dipole-dipole interactions and London forces. Since hydrogen bonds are much stronger than dipole-dipole interactions, \(\text{HF}\) has a higher boiling point than \(\text{HCl}\). Moving from \(\text{HCl}\) to \(\text{HI}\), the number of electrons per molecule increases, which increases the strength of the London (instantaneous dipole-induced dipole) forces, making the boiling point of \(\text{HI}\) higher than that of \(\text{HCl}\).

評分準則

1 mark: Correct option B selected. Reject all other options.
題目 10 · 選擇題
1
Consider the standard enthalpy changes of combustion: \(\Delta H_c^\ominus[\text{C(graphite)}] = -393.5\text{ kJ mol}^{-1}\), \(\Delta H_c^\ominus[\text{H}_2\text{(g)}] = -285.8\text{ kJ mol}^{-1}\), and \(\Delta H_c^\ominus[\text{CH}_4\text{(g)}] = -890.3\text{ kJ mol}^{-1}\). What is the standard enthalpy change of formation of methane, \(\text{CH}_4\text{(g)}\), in \(\text{kJ mol}^{-1}\)?
  1. A.-211.0
  2. B.+74.8
  3. C.-74.8
  4. D.+211.0
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解題

The formation reaction is \(\text{C(graphite)} + 2\text{H}_2\text{(g)} \rightarrow \text{CH}_4\text{(g)}\). Using Hess's cycle: \(\Delta H_f^\ominus = \sum \Delta H_c^\ominus(\text{reactants}) - \sum \Delta H_c^\ominus(\text{products}) = [\Delta H_c^\ominus(\text{C}) + 2 \times \Delta H_c^\ominus(\text{H}_2)] - \Delta H_c^\ominus(\text{CH}_4) = [-393.5 + 2(-285.8)] - [-890.3] = -965.1 + 890.3 = -74.8\text{ kJ mol}^{-1}\).

評分準則

1 mark: Correct option C selected. Reject all other options.
題目 11 · 選擇題
1
Which of the following describes the correct trends down Group 2 from magnesium to barium?
  1. A.The solubility of the hydroxides decreases and the thermal stability of the nitrates increases.
  2. B.The solubility of the hydroxides increases and the thermal stability of the nitrates decreases.
  3. C.The solubility of the hydroxides decreases and the thermal stability of the nitrates decreases.
  4. D.The solubility of the hydroxides increases and the thermal stability of the nitrates increases.
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解題

Down Group 2, the solubility of the hydroxides increases, and the thermal stability of the nitrates increases. The thermal stability increases because the cationic radius increases, reducing the charge density and polarising power of the cation, which distorts the nitrate anion less.

評分準則

1 mark: Correct option D selected. Reject all other options.
題目 12 · 選擇題
1
Equal amounts of 1-chlorobutane, 1-bromobutane, and 1-iodobutane are separately reacted with aqueous silver nitrate in ethanol at \(50\ ^\circ\text{C}\). Which of the following is the correct order of the rate of formation of the precipitate, from slowest to fastest?
  1. A.1-chlorobutane < 1-bromobutane < 1-iodobutane
  2. B.1-iodobutane < 1-bromobutane < 1-chlorobutane
  3. C.1-bromobutane < 1-chlorobutane < 1-iodobutane
  4. D.1-chlorobutane < 1-iodobutane < 1-bromobutane
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解題

The rate of hydrolysis of halogenoalkanes depends on the strength of the carbon-halogen bond (bond enthalpy) rather than bond polarity. The \(\text{C}-\text{Cl}\) bond is the strongest and hardest to break, leading to the slowest reaction. The \(\text{C}-\text{I}\) bond is the weakest and easiest to break, leading to the fastest reaction. Thus, the order of reaction rate is 1-chlorobutane < 1-bromobutane < 1-iodobutane.

評分準則

1 mark: Correct option A selected. Reject all other options.
題目 13 · 選擇題
1
How does the addition of a heterogeneous catalyst affect the Maxwell-Boltzmann distribution of molecular energies of a gaseous reaction mixture and the activation energy, \(E_a\)?
  1. A.The peak of the Maxwell-Boltzmann distribution curve shifts to the right; the activation energy decreases.
  2. B.The Maxwell-Boltzmann distribution curve does not change; the catalyst provides an alternative pathway with a lower activation energy.
  3. C.The peak of the Maxwell-Boltzmann distribution curve shifts to the left; the activation energy decreases.
  4. D.The area under the Maxwell-Boltzmann distribution curve increases; the activation energy remains unchanged.
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解題

A catalyst does not change the temperature or the number of particles, so the Maxwell-Boltzmann distribution curve of molecular energies remains completely unchanged. Instead, the catalyst provides an alternative pathway with a lower activation energy, effectively moving the minimum energy required for reaction to the left.

評分準則

1 mark: Correct option B selected. Reject all other options.
題目 14 · 選擇題
1
An organic compound has the molecular formula \(\text{C}_3\text{H}_6\text{O}\). Its infrared spectrum shows a sharp peak at \(1715\text{ cm}^{-1}\) but no broad absorption in the region \(3200-3750\text{ cm}^{-1}\). Which compound is consistent with this data?
  1. A.Propan-1-ol
  2. B.Prop-2-en-1-ol
  3. C.Propanoic acid
  4. D.Propanone
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解題

The peak at \(1715\text{ cm}^{-1}\) is characteristic of a carbonyl group (\(\text{C}=\text{O}\)). The absence of a broad absorption in the \(3200-3750\text{ cm}^{-1}\) region indicates that there is no hydroxyl (\(\text{O}-\text{H}\)) group present, ruling out alcohols and carboxylic acids. Propanone, a ketone, has the molecular formula \(\text{C}_3\text{H}_6\text{O}\), contains a \(\text{C}=\text{O}\) group, and contains no \(\text{O}-\text{H}\) group, fitting the data perfectly.

評分準則

1 mark: Correct option D selected. Reject all other options.
題目 15 · 選擇題
1
Chlorine gas reacts with cold, dilute aqueous sodium hydroxide. What are the oxidation states of chlorine in the two chlorine-containing products?
  1. A.-1 and +5
  2. B.-1 and +1
  3. C.0 and +1
  4. D.-1 and +3
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解題

The reaction of chlorine with cold dilute \(\text{NaOH}\) is: \(\text{Cl}_2 + 2\text{NaOH} \rightarrow \text{NaCl} + \text{NaClO} + \text{H}_2\text{O}\). In \(\text{NaCl}\), the oxidation state of chlorine is \(-1\). In \(\text{NaClO}\), sodium is \(+1\) and oxygen is \(-2\), so chlorine must be \(+1\). This is a disproportionation reaction where chlorine is simultaneously oxidized to \(+1\) and reduced to \(-1\).

評分準則

1 mark: Correct option B selected. Reject all other options.
題目 16 · 選擇題
1
Consider the following reversible reaction at equilibrium: \(2\text{SO}_2(\text{g}) + \text{O}_2(\text{g}) \rightleftharpoons 2\text{SO}_3(\text{g})\) with \(\Delta H = -197\text{ kJ mol}^{-1}\). Which of the following changes will increase the equilibrium yield of \(\text{SO}_3(\text{g)}\)?
  1. A.Decreasing the temperature at constant volume
  2. B.Decreasing the total pressure at constant temperature
  3. C.Removing SO2(g) from the system
  4. D.Adding a platinum catalyst
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解題

Since the forward reaction is exothermic (\(\Delta H < 0\)), according to Le Chatelier's principle, decreasing the temperature shifts the equilibrium position in the exothermic direction (to the right) to release heat, thereby increasing the equilibrium yield of \(\text{SO}_3(\text{g})\). Decreasing the pressure shifts the equilibrium to the left (towards more moles of gas). Removing a reactant also shifts the equilibrium to the left. A catalyst only increases the rate of reaction but does not change the equilibrium yield.

評分準則

1 mark: Correct option A selected. Reject all other options.
題目 17 · 選擇題
1
Which of the following compounds has the highest boiling temperature?
  1. A.pentan-1-ol
  2. B.butan-1-ol
  3. C.2-methylbutan-2-ol
  4. D.2,2-dimethylpropan-1-ol
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解題

Pentan-1-ol has a longer straight carbon chain with five carbon atoms, allowing for a larger surface area of contact between molecules and therefore stronger London forces compared to its branched isomers (2-methylbutan-2-ol and 2,2-dimethylpropan-1-ol). It also contains a hydroxyl group, allowing for hydrogen bonding, which is much stronger than London forces. Butan-1-ol only has four carbon atoms, so it has fewer electrons and weaker London forces than pentan-1-ol. Thus, pentan-1-ol has the highest boiling temperature.

評分準則

A is correct (1 mark). B, C and D are incorrect because they have either fewer carbon atoms or a more branched carbon chain, resulting in weaker intermolecular forces.
題目 18 · 選擇題
1
Which statement correctly describes and explains the trend in thermal stability of Group 2 carbonates down the group?
  1. A.Thermal stability increases because the cationic radius increases, decreasing its polarizing power and polarization of the carbonate ion.
  2. B.Thermal stability increases because the cationic radius decreases, increasing its polarizing power and polarization of the carbonate ion.
  3. C.Thermal stability decreases because the cationic radius increases, increasing its polarizing power and polarization of the carbonate ion.
  4. D.Thermal stability decreases because the cationic radius decreases, decreasing its polarizing power and polarization of the carbonate ion.
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解題

Down Group 2, the ionic radius of the metal cation increases while the charge remains 2+. Consequently, the charge density of the cation decreases, reducing its ability to polarize (distort) the carbonate ion's electron cloud. Since less polarization occurs, the C-O bonds within the carbonate ion are weakened to a lesser extent, requiring more thermal energy to decompose. Thus, thermal stability increases down the group.

評分準則

A is correct (1 mark). B, C, and D are incorrect because they describe incorrect trends in ionic radius or make incorrect claims about the effect of polarization on thermal stability.
題目 19 · 選擇題
1
The standard enthalpy changes of combustion of carbon (graphite), hydrogen gas, and propane gas are given below: \(\Delta_c H^\theta [\text{C(graphite)}] = -393.5\text{ kJ mol}^{-1}\), \(\Delta_c H^\theta [\text{H}_2\text{(g)}] = -285.8\text{ kJ mol}^{-1}\), \(\Delta_c H^\theta [\text{C}_3\text{H}_8\text{(g)}] = -2219.2\text{ kJ mol}^{-1}\). What is the standard enthalpy change of formation of propane, \(\text{C}_3\text{H}_8\text{(g)}\)?
  1. A.\(-104.5\text{ kJ mol}^{-1}\)
  2. B.\(+104.5\text{ kJ mol}^{-1}\)
  3. C.\(-2323.7\text{ kJ mol}^{-1}\)
  4. D.\(-2898.5\text{ kJ mol}^{-1}\)
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解題

The equation for the formation of propane is: \(3\text{C(graphite)} + 4\text{H}_2\text{(g)} \rightarrow \text{C}_3\text{H}_8\text{(g)}\). Using the combustion data: \(\Delta_f H^\theta = \sum \Delta_c H^\theta(\text{reactants}) - \sum \Delta_c H^\theta(\text{products}) = [3 \times (-393.5) + 4 \times (-285.8)] - (-2219.2) = [-1180.5 - 1143.2] + 2219.2 = -2323.7 + 2219.2 = -104.5\text{ kJ mol}^{-1}\).

評分準則

A is correct (1 mark). B is incorrect due to a sign error. C is the sum of the reactant combustions without subtracting the product. D is the sum of all values with negative signs.
題目 20 · 選擇題
1
An organic compound, \(Y\), is produced by heating a primary alcohol with acidified potassium dichromate(VI) under distillation conditions. Which of the following infrared absorption bands is expected to be present in the spectrum of \(Y\), but absent in the spectrum of the starting primary alcohol?
  1. A.A strong, sharp peak in the range \(1740 - 1720\text{ cm}^{-1}\)
  2. B.A broad peak in the range \(3750 - 3200\text{ cm}^{-1}\)
  3. C.A broad peak in the range \(3300 - 2500\text{ cm}^{-1}\)
  4. D.A sharp peak in the range \(1669 - 1645\text{ cm}^{-1}\)
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解題

Distillation of a primary alcohol with acidified potassium dichromate(VI) oxidizes it to an aldehyde. Aldehydes contain a carbonyl group (\(\text{C}=\text{O}\)), which shows a strong, sharp absorption band in the range \(1740 - 1720\text{ cm}^{-1}\). The starting alcohol contains only single bonds (\(\text{C}-\text{O}\), \(\text{O}-\text{H}\), \(\text{C}-\text{H}\)) and has no absorption in this region.

評分準則

A is correct (1 mark). B is incorrect as this represents the alcohol O-H stretch, which is present in the starting material. C represents a carboxylic acid O-H stretch. D represents an alkene C=C stretch.
題目 21 · Structured
12
An experiment was carried out to determine the enthalpy change of combustion of pentan-1-ol. A student burned 0.620 g of pentan-1-ol, molecular formula \(\text{C}_5\text{H}_{12}\text{O}\), in a spirit burner. The heat produced was used to heat 150 g of water in a copper calorimeter, raising the temperature of the water from 19.5 °C to 48.5 °C. The specific heat capacity of water is 4.18 J g\(^{-1}\) K\(^{-1}\). (a) Calculate the heat energy transferred to the water in kJ. (b) Calculate the enthalpy change of combustion of pentan-1-ol in kJ mol\(^{-1}\) to 3 significant figures. (c) Suggest two reasons, other than heat loss to the surroundings, why the experimental value is less exothermic than the data book value. (d) State how the experimental setup could be improved to minimize heat loss to the surroundings. (e) Explain why carrying out the combustion in a bomb calorimeter using excess pure oxygen produces a much more accurate value.
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解題

(a) First, calculate the temperature rise: \(\Delta T = 48.5 - 19.5 = 29.0\text{ K}\). Using the heat energy equation: \(q = m c \Delta T = 150 \times 4.18 \times 29.0 = 18183\text{ J} = 18.2\text{ kJ}\). (b) Calculate the molar mass of pentan-1-ol: \(M_r(\text{C}_5\text{H}_{12}\text{O}) = (5 \times 12.0) + (12 \times 1.0) + 16.0 = 88.0\text{ g mol}^{-1}\). Moles of pentan-1-ol burned: \(n = 0.620 / 88.0 = 0.007045\text{ mol}\). The enthalpy of combustion: \(\Delta H_c = -q / n = -18.183 / 0.007045 = -2581\text{ kJ mol}^{-1}\) (or \(-2580\text{ kJ mol}^{-1}\) depending on intermediate rounding). (c) Two reasons other than heat loss: 1. Incomplete combustion of pentan-1-ol, leading to the formation of carbon monoxide or carbon soot instead of carbon dioxide. 2. Evaporation of pentan-1-ol from the wick after extinguishing the burner and before weighing. (d) The setup can be improved by adding a draft shield around the burner to prevent drafts, or by using a lid on the copper calorimeter. (e) A bomb calorimeter ensures complete combustion by using excess pressurized pure oxygen, and it is heavily insulated/calibrated to virtually eliminate heat loss to the surroundings.

評分準則

(a) [3 marks] M1: Calculate temperature rise of 29.0 K (1). M2: Recall and substitute correctly into the expression \(q = m c \Delta T\) (1). M3: Correct evaluation of heat energy as 18.2 kJ (accept 18.18 kJ) (1). (b) [3 marks] M1: Calculate moles of pentan-1-ol as 0.00705 mol (1). M2: Divide kJ by moles to find enthalpy change (1). M3: Give final answer as -2580 or -2581 kJ mol\(^{-1}\), including the negative sign and to 3 significant figures (1). (c) [2 marks] M1: Incomplete combustion (1). M2: Evaporation of alcohol from the wick (1). (d) [2 marks] M1: Use a draft shield (1). M2: Use a lid on the calorimeter (1). (e) [2 marks] M1: Excess oxygen ensures complete combustion (1). M2: Highly insulated setup minimizes heat loss (1).
題目 22 · Structured
12
The rates of hydrolysis of three halogenoalkanes (1-chlorobutane, 1-bromobutane, and 1-iodobutane) can be compared experimentally. (a) Describe how this experiment can be carried out to compare the rates of hydrolysis, indicating the necessary reagents and physical observations. (b) Write an ionic equation, including state symbols, for the reaction occurring in the test tube containing 1-bromobutane. (c) Explain the trend in the rate of hydrolysis of these halogenoalkanes with reference to bond strengths. (d) Describe the mechanism for the alkaline hydrolysis of 1-bromobutane by hydroxide ions, explaining the movement of electron pairs.
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解題

(a) Add equal volumes of ethanol to three separate test tubes containing 1-chlorobutane, 1-bromobutane, and 1-iodobutane. Add equal volumes of aqueous silver nitrate to each test tube. Place the tubes in a water bath at 50 °C. Measure the time taken for a precipitate to appear. Silver chloride forms a white precipitate, silver bromide forms a cream precipitate, and silver iodide forms a yellow precipitate. (b) The ionic equation representing the precipitate formation is: \(\text{Ag}^+(\text{aq}) + \text{Br}^-(\text{aq}) \rightarrow \text{AgBr}(\text{s})\). (c) The rate of hydrolysis increases in the order: 1-chlorobutane < 1-bromobutane < 1-iodobutane. This is because the C-X bond enthalpy decreases down Group 7 (C-Cl is strongest, C-I is weakest). The weaker the bond, the less energy is required to break it, making the C-I bond break fastest. Bond strength is the dominant factor here, not bond polarity. (d) The hydrolysis of 1-bromobutane proceeds via an SN2 mechanism. The hydroxide ion acts as a nucleophile. A lone pair of electrons on the oxygen of the hydroxide ion attacks the electron-deficient carbon atom bonded to the bromine. Simultaneously, the pair of electrons in the C-Br bond is transferred entirely to the bromine atom, which departs as a bromide leaving group, yielding butan-1-ol.

評分準則

(a) [5 marks] M1: Use of ethanol as a common solvent (1). M2: Addition of aqueous silver nitrate (1). M3: Use of a water bath for temperature control (1). M4: Timing the appearance of the precipitate (1). M5: Correctly identifying colors of precipitate (white for Cl, cream for Br, yellow for I) (1). (b) [1 mark] M1: Correct ionic equation with state symbols: \(\text{Ag}^+(\text{aq}) + \text{Br}^-(\text{aq}) \rightarrow \text{AgBr}(\text{s})\) (1). (c) [4 marks] M1: Identify that 1-iodobutane reacts fastest and 1-chlorobutane slowest (1). M2: State that C-X bond enthalpy/strength decreases down the group (C-Cl > C-Br > C-I) (1). M3: Explain that weaker bonds require less energy to break (1). M4: State that bond enthalpy is the dominant factor over bond polarity (1). (d) [2 marks] M1: Describe curly arrow from the lone pair of hydroxide oxygen to the carbon (1). M2: Describe curly arrow from the C-Br bond to the bromine atom (1).
題目 23 · Structured
12
The thermal stability of Group 2 nitrates and the solubility of Group 2 hydroxides show distinct trends down the group. (a) Write a balanced chemical equation for the thermal decomposition of anhydrous magnesium nitrate, including state symbols. (b) State two observations that would be made during this reaction. (c) Explain the trend in the thermal stability of Group 2 nitrates down the group. (d) Explain the trend in the solubility of Group 2 hydroxides down the group.
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解題

(a) Magnesium nitrate decomposes on heating to form magnesium oxide, nitrogen dioxide, and oxygen: \(2\text{Mg(NO}_3)_2(\text{s}) \rightarrow 2\text{MgO}(\text{s}) + 4\text{NO}_2(\text{g}) + \text{O}_2(\text{g})\). (b) Two observations: 1. Formation of brown fumes/gas (nitrogen dioxide). 2. A white solid residue remains (magnesium oxide), or a gas is produced that relights a glowing splint (oxygen). (c) Thermal stability increases down Group 2. This is because the ionic radius of the Group 2 cation increases down the group, while the 2+ charge remains the same. This leads to a decrease in charge density of the cation. The larger cation with lower charge density has a weaker polarizing effect on the nitrate anion, causing less distortion of the N-O bonds, meaning more thermal energy is required to decompose the nitrate. (d) The solubility of Group 2 hydroxides increases down the group. Both the lattice energy and the hydration energy of the hydroxides decrease as the cation size increases. However, the lattice energy decreases much more rapidly than the hydration energy of the cation. Consequently, the enthalpy change of solution becomes more exothermic (or less endothermic) down the group, making the hydroxides more soluble.

評分準則

(a) [2 marks] M1: Correct balanced chemical formulae (1). M2: Correct state symbols: (s) for reactant and MgO, (g) for \(\text{NO}_2\) and \(\text{O}_2\) (1). (b) [2 marks] M1: Brown gas/fumes (1). M2: White solid remaining / gas that relights a glowing splint (1). (c) [4 marks] M1: State that thermal stability increases down the group (1). M2: Cation size increases / charge density decreases (1). M3: Cation has a weaker polarizing effect on the nitrate anion (1). M4: Less distortion/polarization of the N-O covalent bonds, requiring more energy to break (1). (d) [4 marks] M1: State that solubility of hydroxides increases down the group (1). M2: Both lattice energy and hydration energy decrease down the group (1). M3: Lattice energy decreases more rapidly than hydration energy (1). M4: Enthalpy change of solution becomes more exothermic / less endothermic down the group (1).
題目 24 · Structured
12
This question compares the intermolecular forces and physical properties of propan-1-ol, propanal, and butane. (a) Identify the strongest type of intermolecular force present in a pure sample of each substance. (b) Explain the differences in the boiling points of these three compounds with reference to their intermolecular forces. (c) Explain how infrared spectroscopy can be used to distinguish between propan-1-ol and propanal. Your answer should refer to specific bonds and their characteristic wavenumber ranges.
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解題

(a) Propan-1-ol: Hydrogen bonding. Propanal: Permanent dipole-permanent dipole forces. Butane: London forces (instantaneous dipole-induced dipole forces). (b) Boiling points follow the order: propan-1-ol > propanal > butane. Hydrogen bonds in propan-1-ol are the strongest type of intermolecular force and require the most thermal energy to overcome. Permanent dipole-dipole forces in propanal are stronger than London forces but weaker than hydrogen bonds. London forces in butane are the weakest intermolecular forces and require the least energy to overcome. Since all three molecules have similar molar masses (and thus similar numbers of electrons), their London forces are of similar baseline strength, meaning the differences in boiling points are due to the additional dipole and hydrogen bonding interactions. (c) Infrared spectroscopy can distinguish them because propan-1-ol contains an O-H (alcohol) bond which shows a broad and intense absorption peak in the range \(3200 - 3750\text{ cm}^{-1}\), and lacks a \(\text{C=O}\) stretch. In contrast, propanal contains a carbonyl group with a \(\text{C=O}\) bond, displaying a strong, sharp absorption peak in the range \(1675 - 1750\text{ cm}^{-1}\), and does not show an O-H alcohol stretch.

評分準則

(a) [3 marks] M1: Propan-1-ol has hydrogen bonding (1). M2: Propanal has permanent dipole-dipole forces (1). M3: Butane has London forces (1). (b) [5 marks] M1: Correct order of boiling points: propan-1-ol > propanal > butane (1). M2: Hydrogen bonding is the strongest IMF, requiring the most thermal energy to overcome (1). M3: Dipole-dipole forces are intermediate in strength (1). M4: London forces are the weakest (1). M5: Reference to similar molar masses / similar number of electrons resulting in comparable baseline London forces (1). (c) [4 marks] M1: Propan-1-ol has an O-H stretch in the range \(3200-3750\text{ cm}^{-1}\) (1). M2: Mention that this O-H peak is broad (1). M3: Propanal has a \(\text{C=O}\) stretch in the range \(1675-1750\text{ cm}^{-1}\) (1). M4: Mention that this \(\text{C=O}\) peak is sharp/strong and no O-H peak is present in propanal (1).
題目 25 · Structured
12
Consider the reversible reaction involved in the industrial production of sulfur trioxide: \(2\text{SO}_2(\text{g}) + \text{O}_2(\text{g}) \rightleftharpoons 2\text{SO}_3(\text{g}) \quad \Delta H = -197\text{ kJ mol}^{-1}\). (a) Describe the appearance of a Maxwell-Boltzmann distribution curve for a gas mixture at temperature \(T_1\) and how it changes when the temperature is increased to \(T_2\). Label the activation energy, \(E_a\). (b) Explain, using the distribution curves, why an increase in temperature increases the rate of this reaction. (c) State and explain the effect of increasing temperature on the yield of \(\text{SO}_3\) at equilibrium. (d) State and explain the effect of using a vanadium(V) oxide catalyst on the position of equilibrium and the yield of \(\text{SO}_3\).
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解題

(a) A Maxwell-Boltzmann curve plots number of molecules (y-axis) against kinetic energy (x-axis). The curve starts at the origin, rises to a peak, and then decreases, approaching but never reaching the horizontal axis. When temperature increases from \(T_1\) to \(T_2\), the peak shifts to the right (higher energy) and becomes lower. The activation energy \(E_a\) is a fixed point on the energy axis, and the area to the right represents molecules with energy greater than or equal to \(E_a\). (b) At higher temperature \(T_2\), the distribution is flattened and shifted to the right, meaning a significantly larger fraction of molecules have kinetic energy greater than or equal to the activation energy. This results in a much higher frequency of successful collisions per unit time, thereby increasing the rate of reaction. (c) An increase in temperature decreases the yield of \(\text{SO}_3\) at equilibrium. The forward reaction is exothermic. According to Le Chatelier's Principle, increasing temperature causes the equilibrium to shift in the endothermic (reverse) direction to absorb the added heat, thus reducing the yield of \(\text{SO}_3\). (d) A catalyst has no effect on the position of equilibrium or the yield of \(\text{SO}_3\). It speeds up both the forward and reverse reactions by the same rate by providing an alternative pathway with a lower activation energy, allowing the system to reach equilibrium faster but without altering the composition of the equilibrium mixture.

評分準則

(a) [4 marks] M1: Axes correctly described: Y-axis as number of molecules, X-axis as kinetic energy (1). M2: Sketch of \(T_1\) starting at origin, rising to a peak, and tailing off (1). M3: Curve for \(T_2\) showing a lower peak shifted to the right (1). M4: Activation energy \(E_a\) correctly located on the X-axis (1). (b) [3 marks] M1: State that a larger proportion of molecules have energy \(\ge E_a\) at higher temperature (1). M2: Reference to the area under the curve to the right of \(E_a\) being larger (1). M3: More successful collisions per unit time (1). (c) [3 marks] M1: Yield of \(\text{SO}_3\) decreases (1). M2: Forward reaction is exothermic (1). M3: Equilibrium shifts to the left / in endothermic direction to absorb heat (1). (d) [2 marks] M1: No effect on position of equilibrium / yield (1). M2: Increases rate of both forward and reverse reactions equally (1).

部分 WCH13/01 (Unit 3)

Answer all questions. Show all working in calculations.
4 題目 · 50
題目 1 · Structured Practical Questions
12.5
A student carries out an experiment to determine the enthalpy change of neutralisation when \( 50.0\text{ cm}^3 \) of \( 1.00\text{ mol dm}^{-3} \) hydrochloric acid reacts with \( 50.0\text{ cm}^3 \) of \( 1.05\text{ mol dm}^{-3} \) sodium hydroxide solution.

(a) State why a slight excess of sodium hydroxide is used.

(b) Describe two design features of a school laboratory calorimeter that are used to minimize heat loss to the surroundings.

(c) The temperature of both solutions before mixing was \( 21.3\text{ }^\circ\text{C} \). The maximum temperature reached was \( 27.8\text{ }^\circ\text{C} \). Calculate the heat energy released in joules, stating any assumptions made. [Specific heat capacity of the solution = \( 4.18\text{ J g}^{-1}\text{ }^\circ\text{C}^{-1} \); density of the solution = \( 1.00\text{ g cm}^{-3} \)]

(d) Calculate the enthalpy change of neutralisation, in \( \text{kJ mol}^{-1} \), of hydrochloric acid. Include a sign and give your answer to 3 significant figures.

(e) The student used a thermometer with an uncertainty of \( \pm 0.1\text{ }^\circ\text{C} \) for each temperature reading. Calculate the percentage uncertainty in the temperature change.
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解題

(a) A slight excess of sodium hydroxide ensures that all of the hydrochloric acid (the limiting reactant) is completely neutralised so that the calculated heat is based on the full amount of acid.

(b) 1. Polystyrene cup: It acts as an excellent thermal insulator to reduce heat conduction. 2. Lid: Placing a lid on top of the cup minimizes heat loss via convection and evaporation.

(c) Temperature change, \( \Delta T = 27.8 - 21.3 = 6.5\text{ }^\circ\text{C} \). Total mass of solution, \( m = 50.0 + 50.0 = 100.0\text{ g} \). Heat energy, \( q = m c \Delta T = 100.0\text{ g} \times 4.18\text{ J g}^{-1}\text{ }^\circ\text{C}^{-1} \times 6.5\text{ }^\circ\text{C} = 2717\text{ J} \). Assumptions: The density of the solution is exactly \( 1.00\text{ g cm}^{-3} \) and the specific heat capacity is \( 4.18\text{ J g}^{-1}\text{ }^\circ\text{C}^{-1} \) (the same as pure water); no heat is absorbed by the polystyrene cup or lost to the air.

(d) Number of moles of \( \text{HCl} \) used: \( n(\text{HCl}) = 0.0500\text{ dm}^3 \times 1.00\text{ mol dm}^{-3} = 0.0500\text{ mol} \). Number of moles of \( \text{NaOH} \) used: \( n(\text{NaOH}) = 0.0500\text{ dm}^3 \times 1.05\text{ mol dm}^{-3} = 0.0525\text{ mol} \). Since \( \text{HCl} \) is the limiting reactant, \( 0.0500\text{ mol} \) of water is formed. Enthalpy of neutralisation: \( \Delta H = -\frac{2717\text{ J}}{0.0500\text{ mol}} = -54340\text{ J mol}^{-1} = -54.3\text{ kJ mol}^{-1} \).

(e) Because two temperature readings are taken (initial and final), the absolute uncertainty in the temperature change is \( 2 \times 0.1 = 0.2\text{ }^\circ\text{C} \). Percentage uncertainty = \( \frac{0.2}{6.5} \times 100\% = 3.08\% \) (or \( 3.1\% \)).

評分準則

Part (a) [1 mark]
- M1: To ensure that all of the acid reacts/is neutralised [1].

Part (b) [2 marks]
- M1: Polystyrene cup acts as a thermal insulator / reduces conduction [1].
- M2: A lid reduces heat loss by convection / evaporation [1].

Part (c) [3 marks]
- M1: Calculates temperature change \( \Delta T = 6.5\text{ }^\circ\text{C} \) and total mass \( 100.0\text{ g} \) [1].
- M2: Calculates heat energy: \( q = 100.0 \times 4.18 \times 6.5 = 2717\text{ J} \) (or \( 2.717\text{ kJ} \)) [1].
- M3: States that the solution is assumed to have the same density/specific heat capacity as water OR no heat is lost to the surroundings [1].

Part (d) [4.5 marks]
- M1: Calculates moles of HCl = \( 0.0500\text{ mol} \) [1].
- M2: Divides heat energy by the moles of HCl: \( \frac{2.717}{0.0500} = 54.34\text{ kJ mol}^{-1} \) [2].
- M3: States the correct value with negative sign and to 3 significant figures: \( -54.3\text{ kJ mol}^{-1} \) [1.5].

Part (e) [2 marks]
- M1: Identifies total absolute uncertainty in temperature difference as \( 0.2\text{ }^\circ\text{C} \) [1].
- M2: Calculates percentage uncertainty: \( \frac{0.2}{6.5} \times 100\% = 3.08\% \) (accept \( 3.1\% \)) [1].
題目 2 · Structured Practical Questions
12.5
A student prepares 1-bromobutane by reacting butan-1-ol with sodium bromide and concentrated sulfuric acid.

(a) Concentrated sulfuric acid is added slowly and with cooling to the mixture of butan-1-ol, water, and sodium bromide. Explain why these precautions are necessary.

(b) The mixture is heated under reflux. Draw a labelled diagram of the apparatus used for heating under reflux.

(c) After reflux, the mixture is distilled. The distillate contains 1-bromobutane and water.

(i) Describe how the student can separate the 1-bromobutane layer from the aqueous layer. State which layer is the organic layer, given that the density of 1-bromobutane is \( 1.27\text{ g cm}^{-3} \).

(ii) The organic layer is then washed with aqueous sodium hydrogencarbonate. State the purpose of washing with aqueous sodium hydrogencarbonate and write an ionic equation for the reaction that occurs.

(d) The student dries the organic liquid. Name a suitable anhydrous salt that could be used as a drying agent and describe the appearance of the organic liquid once it is completely dry.
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解題

(a) The reaction between concentrated sulfuric acid and water/reaction mixture is highly exothermic. Adding it slowly with cooling prevents the mixture from boiling over or splattering, and minimizes the formation of toxic sulfur dioxide gas or oxidation of bromide ions to bromine.

(b) The diagram should show a pear-shaped or round-bottomed flask with a vertical Liebig condenser attached to its neck. There should be no stopper at the top of the condenser. The water inlet must be shown at the bottom of the condenser jacket and the water outlet at the top of the condenser jacket. A heat source (e.g., heating mantle) should be under the flask.

(c)(i) Pour the mixture into a separating funnel and allow the layers to separate into two distinct phases. Since 1-bromobutane has a density of \( 1.27\text{ g cm}^{-3} \) which is greater than that of water (\( 1.00\text{ g cm}^{-3} \)), the bottom layer is the organic layer. Run off the bottom organic layer into a clean flask.

(c)(ii) Purpose: To neutralise any remaining acidic impurities (such as sulfuric acid or hydrogen bromide). Ionic equation: \( \text{H}^+ + \text{HCO}_3^- \rightarrow \text{H}_2\text{O} + \text{CO}_2 \).

(d) Suitable drying agent: Anhydrous calcium chloride (\( \text{CaCl}_2 \)), anhydrous magnesium sulfate (\( \text{MgSO}_4 \)), or anhydrous sodium sulfate (\( \text{Na}_2\text{SO}_4 \)). When completely dry, the cloudy liquid becomes completely clear and transparent.

評分準則

Part (a) [2 marks]
- M1: The reaction is highly exothermic / releases a lot of heat [1].
- M2: Slow addition/cooling prevents boiling over / splattering / minimizes toxic fumes (\( \text{SO}_2 \)) / prevents oxidation of bromide to bromine [1].

Part (b) [3 marks]
- M1: Vertical condenser attached to a flask with no stopper at the top [1].
- M2: Water flow in condenser jacket in at the bottom and out at the top [1].
- M3: Heat source shown at the bottom [1].

Part (c)(i) [2.5 marks]
- M1: Use a separating funnel [1].
- M2: Allow layers to separate and collect the lower layer [1].
- M3: States that 1-bromobutane is the lower layer because its density is higher than water's density [0.5].

Part (c)(ii) [3 marks]
- M1: To neutralise remaining acid / acidic impurities / H2SO4 / HBr [1].
- M2: Correct reactants in equation: \( \text{H}^+ \) and \( \text{HCO}_3^- \) [1].
- M3: Correct products: \( \text{H}_2\text{O} \) and \( \text{CO}_2 \) [1].

Part (d) [2 marks]
- M1: Names a correct anhydrous salt (e.g., anhydrous calcium chloride / magnesium sulfate / sodium sulfate) [1]. (Do not accept copper sulfate or cobalt chloride).
- M2: Describes the appearance of the dry liquid as clear / transparent / no longer cloudy [1].
題目 3 · Structured Practical Questions
12.5
A student is provided with a solid white salt, **X**, which is a Group 2 metal halide.

(a) Describe how the student would carry out a flame test on solid **X** to identify the metal cation. Include the expected observation for a barium ion.

(b) Solid **X** is dissolved in deionised water to form solution **Y**.

(i) When dilute sulfuric acid is added to solution **Y**, a thick white precipitate forms. Write an ionic equation, including state symbols, for this reaction.

(ii) Describe a test to confirm the presence of halide ions in solution **Y**. Explain how the student could use aqueous ammonia to distinguish between chloride, bromide, and iodide ions.

(c) Compound **X** is barium chloride. When chlorine water is added to an aqueous solution of sodium bromide, a displacement reaction occurs. State the observation and write the ionic equation for this reaction.
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解題

(a) To carry out a flame test: Clean a nichrome or platinum wire by dipping it into concentrated hydrochloric acid and heating it in a blue Bunsen flame until no colour is observed. Redip the wire in concentrated hydrochloric acid, touch it to a small sample of solid **X**, and then place the wire back into the non-luminous (blue) Bunsen flame. If barium is present, an apple-green flame will be observed.

(b)(i) The cation is \( \text{Ba}^{2+} \). Reacting with sulfate ions from sulfuric acid produces insoluble barium sulfate: \( \text{Ba}^{2+}(\text{aq}) + \text{SO}_4^{2-}(\text{aq}) \rightarrow \text{BaSO}_4(\text{s}) \).

(b)(ii) Test for halide ions: Add dilute nitric acid followed by silver nitrate solution to solution **Y**. Chloride gives a white precipitate, bromide gives a cream precipitate, and iodide gives a yellow precipitate. To distinguish them: add dilute aqueous ammonia; silver chloride will dissolve. If the precipitate remains, add concentrated aqueous ammonia; silver bromide will dissolve, whereas silver iodide remains insoluble in both dilute and concentrated ammonia.

(c) Observation: The colourless solution turns orange/yellow/brown. Ionic equation: \( \text{Cl}_2(\text{aq}) + 2\text{Br}^-(\text{aq}) \rightarrow 2\text{Cl}^-(\text{aq}) + \text{Br}_2(\text{aq}) \).

評分準則

Part (a) [4 marks]
- M1: Cleans nichrome/platinum wire with concentrated hydrochloric acid and heats in a Bunsen burner flame [1].
- M2: Dips clean wire in concentrated HCl, picks up solid, and places in non-luminous (blue) flame [1].
- M3: Flame test observation for barium: apple-green flame [2].

Part (b)(i) [2 marks]
- M1: Correct chemical species: \( \text{Ba}^{2+} \), \( \text{SO}_4^{2-} \), and \( \text{BaSO}_4 \) [1].
- M2: Correct state symbols: \( (\text{aq}) \) for reactants, \( (\text{s}) \) for product [1].

Part (b)(ii) [4.5 marks]
- M1: Reagents: Add dilute nitric acid followed by silver nitrate solution [1].
- M2: Identifies precipitates: white (chloride), cream (bromide), yellow (iodide) [1.5].
- M3: Silver chloride dissolves in dilute ammonia, silver bromide dissolves in concentrated ammonia (but not dilute), and silver iodide is insoluble in both [2].

Part (c) [2 marks]
- M1: Observation: solution turns orange / yellow / brown [1].
- M2: Equation: \( \text{Cl}_2 + 2\text{Br}^- \rightarrow 2\text{Cl}^- + \text{Br}_2 \) [1].
題目 4 · Structured Practical Questions
12.5
A student determines the concentration of a hydrochloric acid solution by titrating it against a standard solution of sodium carbonate, \( \text{Na}_2\text{CO}_3 \).

(a) Describe how the student would prepare exactly \( 250.0\text{ cm}^3 \) of a standard solution containing exactly \( 1.325\text{ g} \) of anhydrous sodium carbonate.

(b) Calculate the concentration, in \( \text{mol dm}^{-3} \), of the sodium carbonate solution prepared. [Molar mass of \( \text{Na}_2\text{CO}_3 = 106.0\text{ g mol}^{-1} \)]

(c) The student titrates \( 25.0\text{ cm}^3 \) of this sodium carbonate solution against the hydrochloric acid solution using methyl orange indicator.

(i) State the colour change observed at the end-point.

(ii) Explain why a pipette is used to measure the sodium carbonate solution, whereas a burette is used to deliver the hydrochloric acid.

(d) The student obtains the following results for the titration:
- Rough titration: \( 23.90\text{ cm}^3 \)
- Titration 1: \( 23.10\text{ cm}^3 \)
- Titration 2: \( 23.20\text{ cm}^3 \)

(i) Calculate the mean titre.

(ii) The equation for the reaction is:
\( \text{Na}_2\text{CO}_3(\text{aq}) + 2\text{HCl}(\text{aq}) \rightarrow 2\text{NaCl}(\text{aq}) + \text{CO}_2(\text{g}) + \text{H}_2\text{O}(\text{l}) \)

Calculate the concentration of the hydrochloric acid, in \( \text{mol dm}^{-3} \). Give your answer to 3 significant figures.
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解題

(a) To prepare the standard solution:
1. Weigh exactly \( 1.325\text{ g} \) of anhydrous sodium carbonate on a balance and record the mass.
2. Transfer the solid to a beaker and dissolve it completely in approximately \( 100\text{ cm}^3 \) of deionised water, stirring with a clean glass rod.
3. Transfer the solution quantitatively into a \( 250.0\text{ cm}^3 \) volumetric flask. Rinse the beaker and glass rod with deionised water and add all washings to the flask.
4. Add deionised water dropwise until the bottom of the meniscus lies exactly on the graduation line. Stopper the flask and invert it several times to mix thoroughly.

(b) Moles of \( \text{Na}_2\text{CO}_3 = \frac{1.325\text{ g}}{106.0\text{ g mol}^{-1}} = 0.0125\text{ mol} \).
Concentration = \( \frac{0.0125\text{ mol}}{0.2500\text{ dm}^3} = 0.0500\text{ mol dm}^{-3} \).

(c)(i) At the end-point of adding acid to carbonate with methyl orange, the colour changes from yellow to orange (or peach/pink).

(c)(ii) A pipette is used because it is designed to measure and deliver a highly accurate, single, fixed volume (exactly \( 25.0\text{ cm}^3 \)). A burette is used because it allows a variable volume of solution to be delivered and measured dropwise to determine the exact end-point.

(d)(i) The rough titre is non-concordant and must be excluded. Concordant titres are \( 23.10\text{ cm}^3 \) and \( 23.20\text{ cm}^3 \).
Mean titre = \( \frac{23.10 + 23.20}{2} = 23.15\text{ cm}^3 \).

(d)(ii) Moles of \( \text{Na}_2\text{CO}_3 \) in \( 25.0\text{ cm}^3 \) = \( 0.0500\text{ mol dm}^{-3} \times 0.0250\text{ dm}^3 = 1.25 \times 10^{-3}\text{ mol} \).
Moles of \( \text{HCl} \) reacted = \( 2 \times 1.25 \times 10^{-3} = 2.50 \times 10^{-3}\text{ mol} \).
Concentration of \( \text{HCl} \) = \( \frac{2.50 \times 10^{-3}\text{ mol}}{0.02315\text{ dm}^3} = 0.108\text{ mol dm}^{-3} \) (to 3 s.f.).

評分準則

Part (a) [4 marks]
- M1: Dissolves solid in a beaker with deionised water (less than \( 250\text{ cm}^3 \)) [1].
- M2: Quantitative transfer of solution and washings of beaker/rod into a \( 250.0\text{ cm}^3 \) volumetric flask [1].
- M3: Makes up to the mark with deionised water (bottom of meniscus on the line) [1].
- M4: Stoppers and inverts flask several times to mix [1].

Part (b) [2 marks]
- M1: Calculates moles of sodium carbonate: \( \frac{1.325}{106} = 0.0125\text{ mol} \) [1].
- M2: Calculates concentration: \( \frac{0.0125}{0.2500} = 0.0500\text{ mol dm}^{-3} \) [1].

Part (c) [3.5 marks]
- (i) M1: Yellow to orange / peach / pink [1].
- (ii) M2: Pipette measures a single fixed volume with high precision/accuracy [1].
- M3: Burette measures variable volumes / allows dropwise delivery [1.5].

Part (d) [3 marks]
- (i) M1: Mean titre = \( 23.15\text{ cm}^3 \) (concordant titres only) [1].
- (ii) M2: Moles of \( \text{HCl} = 2 \times (0.0500 \times 0.0250) = 2.50 \times 10^{-3}\text{ mol} \) [1].
- M3: Concentration of \( \text{HCl} = \frac{2.50 \times 10^{-3}}{0.02315} = 0.108\text{ mol dm}^{-3} \) (3 s.f.) [1].

部分 WCH14/01 (Unit 4)

Answer all questions. Sections A, B and C. Show all working in calculations.
25 題目 · 90
題目 1 · 選擇題
1
The rate equation for the acid-catalysed iodination of propanone is: \(\text{Rate} = k[\text{CH}_3\text{COCH}_3][\text{H}^+]\). Which of the following statements is correct?
  1. A.The rate of the reaction is independent of the iodine concentration.
  2. B.The reaction is third order overall.
  3. C.Doubling the concentration of propanone while halving the concentration of hydrogen ions doubles the rate.
  4. D.The unit of the rate constant \(k\) is \(\text{mol dm}^{-3} \text{s}^{-1}\).
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解題

The rate equation shows that the order of reaction with respect to iodine is zero, as iodine does not appear in the rate equation. Therefore, the rate of the reaction is independent of the concentration of iodine. Option B is incorrect because the overall order of the reaction is 2 (1 + 1 = 2). Option C is incorrect because doubling [CH3COCH3] and halving [H+] results in a net multiplier of 2 * 0.5 = 1, meaning the rate remains unchanged. Option D is incorrect because the unit of the rate constant k for a second-order reaction is \(\text{dm}^3 \text{mol}^{-1} \text{s}^{-1}\).

評分準則

[1] Correct option is A. Reject B, C, and D.
題目 2 · 選擇題
1
For a specific chemical reaction, the standard entropy change of the system, \(\Delta S^{\ominus}_{\text{system}}\), is \(-120\text{ J K}^{-1}\text{ mol}^{-1}\) and the standard enthalpy change, \(\Delta H^{\ominus}\), is \(-45.0\text{ kJ mol}^{-1}\). At what temperature does this reaction become non-spontaneous (non-feasible)?
  1. A.At temperatures above \(375\text{ K}\)
  2. B.At temperatures below \(375\text{ K}\)
  3. C.At temperatures above \(2.67\text{ K}\)
  4. D.At temperatures below \(2.67\text{ K}\)
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解題

For a reaction to be spontaneous, the total entropy change must be greater than zero: \(\Delta S_{\text{total}} = \Delta S_{\text{system}} - \frac{\Delta H}{T} > 0\). Substituting the given values (with \(\Delta H\) in J/mol): \(-120 - \frac{-45000}{T} > 0\) which simplifies to \(\frac{45000}{T} > 120\) or \(T < 375\text{ K}\). Therefore, the reaction is spontaneous only at temperatures below \(375\text{ K}\), and it becomes non-spontaneous at temperatures above \(375\text{ K}\).

評分準則

[1] Correct option is A. Reject B, C, and D.
題目 3 · 選擇題
1
Consider the following equilibrium reaction in a closed vessel: \(2\text{SO}_2(\text{g}) + \text{O}_2(\text{g}) \rightleftharpoons 2\text{SO}_3(\text{g}) \quad \Delta H = -197\text{ kJ mol}^{-1}\). Which of the following changes will increase the value of the equilibrium constant, \(K_p\)?
  1. A.Increasing the total pressure of the system
  2. B.Decreasing the temperature of the system
  3. C.Adding a suitable catalyst
  4. D.Increasing the concentration of oxygen gas
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解題

The value of the equilibrium constant \(K_p\) is only affected by temperature. Since the forward reaction is exothermic, decreasing the temperature shifts the equilibrium position to the right to oppose the change, thereby increasing the value of \(K_p\). Changes in pressure, concentrations of reactants, or the addition of a catalyst do not alter the value of \(K_p\).

評分準則

[1] Correct option is B. Reject A, C, and D.
題目 4 · 選擇題
1
A weak monobasic acid, \(\text{HA}\), has an acid dissociation constant, \(K_{\text{a}}\), of \(1.80 \times 10^{-5}\text{ mol dm}^{-3}\) at \(298\text{ K}\). What is the pH of a \(0.050\text{ mol dm}^{-3}\) aqueous solution of this acid at \(298\text{ K}\)?
  1. A.1.72
  2. B.3.02
  3. C.4.74
  4. D.6.04
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解題

Using the weak acid approximation: \([\text{H}^+] \approx \sqrt{K_{\text{a}} \times [\text{HA}]} = \sqrt{1.80 \times 10^{-5} \times 0.050} = \sqrt{9.00 \times 10^{-7}} = 9.49 \times 10^{-4}\text{ mol dm}^{-3}\). The pH is given by \(-\log_{10}[\text{H}^+] = -\log_{10}(9.49 \times 10^{-4}) = 3.02\).

評分準則

[1] Correct option is B. Reject A, C, and D.
題目 5 · 選擇題
1
Which of the following compounds reacts with alkaline aqueous iodine to form a yellow precipitate, and also forms an orange/red precipitate when warmed with Fehling's solution?
  1. A.Propanone
  2. B.Ethanal
  3. C.Propanal
  4. D.Ethanol
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解題

Fehling's solution reacts only with aldehydes to form a red precipitate of \(\text{Cu}_2\text{O}\), ruling out propanone and ethanol. Alkaline aqueous iodine reacts with methyl carbonyls (or compounds oxidised to them) to form a yellow precipitate of triiodomethane. Ethanal (\(\text{CH}_3\text{CHO}\)) contains the methyl carbonyl group and gives a positive test, whereas propanal (\(\text{CH}_3\text{CH}_2\text{CHO}\)) does not contain this group.

評分準則

[1] Correct option is B. Reject A, C, and D.
題目 6 · 選擇題
1
The thermal decomposition of dinitrogen pentoxide is a first-order reaction: \(2\text{N}_2\text{O}_5(\text{g}) \rightarrow 4\text{NO}_2(\text{g}) + \text{O}_2(\text{g})\). At \(300\text{ K}\), the rate constant for this reaction is \(4.30 \times 10^{-4}\text{ s}^{-1}\). If the initial concentration of \(\text{N}_2\text{O}_5\) is \(0.100\text{ mol dm}^{-3}\), what is the rate of reaction at \(300\text{ K}\) when \(60\%\) of the \(\text{N}_2\text{O}_5\) has decomposed?
  1. A.\(1.72 \times 10^{-5}\text{ mol dm}^{-3}\text{ s}^{-1}\)
  2. B.\(2.58 \times 10^{-5}\text{ mol dm}^{-3}\text{ s}^{-1}\)
  3. C.\(4.30 \times 10^{-5}\text{ mol dm}^{-3}\text{ s}^{-1}\)
  4. D.\(1.08 \times 10^{-4}\text{ mol dm}^{-3}\text{ s}^{-1}\)
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解題

For a first-order reaction, \(\text{Rate} = k[\text{N}_2\text{O}_5]\). When \(60\%\) of the reactant has decomposed, \(40\%\) remains, so the concentration of \(\text{N}_2\text{O}_5\) is \(0.040\text{ mol dm}^{-3}\). This gives \(\text{Rate} = (4.30 \times 10^{-4}\text{ s}^{-1}) \times (0.040\text{ mol dm}^{-3}) = 1.72 \times 10^{-5}\text{ mol dm}^{-3}\text{ s}^{-1}\).

評分準則

[1] Correct option is A. Reject B, C, and D.
題目 7 · 選擇題
1
Water vaporises at its boiling point according to the equation: \(\text{H}_2\text{O}(\text{l}) \rightarrow \text{H}_2\text{O}(\text{g})\). At \(373\text{ K}\) and \(1\text{ atm}\), the standard enthalpy change of vaporisation, \(\Delta H^{\ominus}_{\text{vap}}\), is \(+40.7\text{ kJ mol}^{-1}\). What is the standard entropy change of the system, \(\Delta S^{\ominus}_{\text{system}}\), for this vaporisation process?
  1. A.\(-109\text{ J K}^{-1}\text{ mol}^{-1}\)
  2. B.\(+109\text{ J K}^{-1}\text{ mol}^{-1}\)
  3. C.\(-109\text{ kJ K}^{-1}\text{ mol}^{-1}\)
  4. D.\(+109\text{ kJ K}^{-1}\text{ mol}^{-1}\)
查看答案詳解

解題

At the boiling point of \(373\text{ K}\), the system is at equilibrium, so \(\Delta S_{\text{total}} = 0\). Therefore, \(\Delta S^{\ominus}_{\text{system}} = -\Delta S_{\text{surroundings}} = \frac{\Delta H^{\ominus}_{\text{vap}}}{T} = \frac{+40.7 \times 10^3\text{ J mol}^{-1}}{373\text{ K}} = +109\text{ J K}^{-1}\text{ mol}^{-1}\).

評分準則

[1] Correct option is B. Reject A, C, and D.
題目 8 · 選擇題
1
A buffer solution is prepared by mixing \(50.0\text{ cm}^3\) of \(0.100\text{ mol dm}^{-3}\) propanoic acid (\(\text{p}K_{\text{a}} = 4.87\)) with \(50.0\text{ cm}^3\) of \(0.050\text{ mol dm}^{-3}\) sodium propanoate solution. What is the pH of the resulting buffer solution at \(298\text{ K}\)?
  1. A.4.57
  2. B.4.87
  3. C.5.17
  4. D.5.47
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解題

In the mixture, the amount of propanoic acid is \(0.00500\text{ mol}\) and the amount of propanoate ions is \(0.00250\text{ mol}\). Using the Henderson-Hasselbalch equation: \(\text{pH} = \text{p}K_{\text{a}} + \log_{10}\left(\frac{[\text{A}^-]}{[\text{HA}]}\right) = 4.87 + \log_{10}\left(\frac{0.00250}{0.00500}\right) = 4.87 - 0.30 = 4.57\).

評分準則

[1] Correct option is A. Reject B, C, and D.
題目 9 · 選擇題
1
For a particular reaction, an Arrhenius plot of \(\ln(k)\) against \(1/T\) (where \(T\) is temperature in Kelvin) yields a straight line with a gradient of \(-1.20 \times 10^4\text{ K}\). What is the activation energy, \(E_a\), of this reaction? (Gas constant \(R = 8.31\text{ J K}^{-1}\text{ mol}^{-1}\))
  1. A.\(+99.7\text{ kJ mol}^{-1}\)
  2. B.\(-99.7\text{ kJ mol}^{-1}\)
  3. C.\(+1.44 \times 10^3\text{ kJ mol}^{-1}\)
  4. D.\(-1.44 \times 10^3\text{ kJ mol}^{-1}\)
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解題

The Arrhenius equation can be written as: \(\ln(k) = -\frac{E_a}{R}\left(\frac{1}{T}\right) + \ln(A)\). Thus, the gradient of the plot of \(\ln(k)\) against \(1/T\) is equal to \(-\frac{E_a}{R}\). Therefore: \(\text{Gradient} = -\frac{E_a}{R} \Rightarrow E_a = -\text{Gradient} \times R = -(-1.20 \times 10^4\text{ K}) \times 8.31\text{ J K}^{-1}\text{ mol}^{-1} = 9.972 \times 10^4\text{ J mol}^{-1} = +99.7\text{ kJ mol}^{-1}\).

評分準則

1 mark: Correct calculation of activation energy including sign and units conversion to kJ/mol.
題目 10 · 選擇題
1
What is the standard entropy change of the system, \(\Delta S^{\ominus}_{\text{system}}\), for the reaction shown below? \(\text{PCl}_5(\text{g}) \rightarrow \text{PCl}_3(\text{g}) + \text{Cl}_2(\text{g})\) [Standard entropies: \(S^{\ominus}[\text{PCl}_5(\text{g})] = 364\text{ J K}^{-1}\text{ mol}^{-1}\), \(S^{\ominus}[\text{PCl}_3(\text{g})] = 312\text{ J K}^{-1}\text{ mol}^{-1}\), \(S^{\ominus}[\text{Cl}_2(\text{g})] = 223\text{ J K}^{-1}\text{ mol}^{-1}\)]
  1. A.\(-171\text{ J K}^{-1}\text{ mol}^{-1}\)
  2. B.\(-275\text{ J K}^{-1}\text{ mol}^{-1}\)
  3. C.\(+171\text{ J K}^{-1}\text{ mol}^{-1}\)
  4. D.\(+275\text{ J K}^{-1}\text{ mol}^{-1}\)
查看答案詳解

解題

The standard entropy change of the system is calculated as: \(\Delta S^{\ominus}_{\text{system}} = \sum S^{\ominus}(\text{products}) - \sum S^{\ominus}(\text{reactants}) = (312 + 223) - 364 = 535 - 364 = +171\text{ J K}^{-1}\text{ mol}^{-1}\).

評分準則

1 mark: Correct calculation of system entropy change with correct sign.
題目 11 · 選擇題
1
For the gaseous equilibrium: \(\text{N}_2\text{O}_4(\text{g}) \rightleftharpoons 2\text{NO}_2(\text{g})\) at a constant temperature, the equilibrium mole fractions of \(\text{N}_2\text{O}_4\) and \(\text{NO}_2\) are 0.40 and 0.60 respectively. If the total pressure is \(P\), what is the correct expression for the equilibrium constant \(K_p\)?
  1. A.\(0.67 P\)
  2. B.\(0.90 P\)
  3. C.\(1.11 P\)
  4. D.\(1.50 P\)
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解題

The partial pressure of each gas is: \(p_{\text{N}_2\text{O}_4} = 0.40 P\) and \(p_{\text{NO}_2} = 0.60 P\). The expression for \(K_p\) is: \(K_p = \frac{(p_{\text{NO}_2})^2}{p_{\text{N}_2\text{O}_4}} = \frac{(0.60 P)^2}{0.40 P} = \frac{0.36 P^2}{0.40 P} = 0.90 P\).

評分準則

1 mark: Correct substitution of mole fractions and total pressure into the Kp expression.
題目 12 · 選擇題
1
A solution of a weak monoprotic acid, \(\text{HA}\), has a concentration of \(0.150\text{ mol dm}^{-3}\). The acid dissociation constant, \(K_a\), is \(1.80 \times 10^{-5}\text{ mol dm}^{-3}\) at \(298\text{ K}\). What is the pH of this solution?
  1. A.0.82
  2. B.2.78
  3. C.4.74
  4. D.5.57
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解題

For a weak acid: \([\text{H}^+] \approx \sqrt{K_a \times [\text{HA}]} = \sqrt{1.80 \times 10^{-5} \times 0.150} = \sqrt{2.70 \times 10^{-6}} = 1.643 \times 10^{-3}\text{ mol dm}^{-3}\). Therefore, \(\text{pH} = -\log_{10}(1.643 \times 10^{-3}) = 2.78\).

評分準則

1 mark: Correct calculation of pH to 2 decimal places.
題目 13 · 選擇題
1
Which of the following carbonyl compounds can be reduced by aqueous sodium tetrahydridoborate(III), \(\text{NaBH}_4\), to form a product that exists as a mixture of optical isomers?
  1. A.Propanone
  2. B.Butanone
  3. C.Pentan-3-one
  4. D.Propanal
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解題

Reduction of butanone with \(\text{NaBH}_4\) yields butan-2-ol, which has a chiral carbon atom (carbon-2) bonded to four different groups (\(-\text{H}\), \(-\text{OH}\), \(-\text{CH}_3\), and \(-\text{CH}_2\text{CH}_3\)). This leads to optical isomers. The other options (propanone, pentan-3-one, and propanal) yield achiral alcohols upon reduction.

評分準則

1 mark: Correct identification of the ketone that reduces to a chiral alcohol.
題目 14 · 選擇題
1
An organic compound \(\text{X}\) has the molecular formula \(\text{C}_4\text{H}_8\text{O}_2\). When added to aqueous sodium carbonate, effervescence is observed and carbon dioxide is produced. What is the IUPAC name of compound \(\text{X}\)?
  1. A.Ethyl ethanoate
  2. B.Methyl propanoate
  3. C.Butanoic acid
  4. D.3-hydroxybutanal
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解題

Carboxylic acids react with carbonates to produce carbon dioxide gas. The molecular formula \(\text{C}_4\text{H}_8\text{O}_2\) belongs to a carboxylic acid with 4 carbon atoms, which is butanoic acid. Esters (like ethyl ethanoate and methyl propanoate) and aldehydes (like 3-hydroxybutanal) do not react with sodium carbonate.

評分準則

1 mark: Correct identification of butanoic acid as the carboxylic acid.
題目 15 · 選擇題
1
The acid-catalyzed reaction between propanone and iodine has the rate equation: \(\text{Rate} = k[\text{CH}_3\text{COCH}_3][\text{H}^+]\). Which of the following statements is correct?
  1. A.The reaction is first-order with respect to iodine.
  2. B.The concentration of iodine has no effect on the rate of reaction.
  3. C.Increasing the temperature decreases the value of the rate constant \(k\).
  4. D.The hydrogen ions act as a heterogeneous catalyst.
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解題

Because iodine (\(\text{I}_2\)) does not appear in the rate equation, the reaction is zero-order with respect to iodine. Therefore, changing the concentration of iodine has no effect on the overall rate of reaction. The rate constant \(k\) increases with temperature, and \(\text{H}^+\) is a homogeneous catalyst because it is dissolved in the same aqueous phase.

評分準則

1 mark: Correct identification that iodine is zero-order and has no effect on rate.
題目 16 · 選擇題
1
A buffer solution is prepared by mixing \(50.0\text{ cm}^3\) of \(0.100\text{ mol dm}^{-3}\) propanoic acid with \(50.0\text{ cm}^3\) of \(0.0500\text{ mol dm}^{-3}\) sodium propanoate. What is the pH of the resulting solution? [\(K_a\) of propanoic acid \(= 1.35 \times 10^{-5}\text{ mol dm}^{-3}\)]
  1. A.4.57
  2. B.4.87
  3. C.5.17
  4. D.5.47
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解題

The moles of propanoic acid (\(\text{HA}\)) and propanoate ions (\(\text{A}^-\)) are: \(n(\text{HA}) = 0.0500\text{ dm}^3 \times 0.100\text{ mol dm}^{-3} = 5.00 \times 10^{-3}\text{ mol}\), and \(n(\text{A}^-) = 0.0500\text{ dm}^3 \times 0.0500\text{ mol dm}^{-3} = 2.50 \times 10^{-3}\text{ mol}\). Using the buffer equation: \([\text{H}^+] = K_a \times \frac{n(\text{HA})}{n(\text{A}^-)} = (1.35 \times 10^{-5}) \times \frac{5.00 \times 10^{-3}}{2.50 \times 10^{-3}} = 2.70 \times 10^{-5}\text{ mol dm}^{-3}\). Thus, \(\text{pH} = -\log_{10}(2.70 \times 10^{-5}) = 4.57\).

評分準則

1 mark: Correct calculation of pH.
題目 17 · 選擇題
1
The reaction between two substances, \(X\) and \(Y\), has the rate equation: \(\text{Rate} = k[X]^2[Y]\). Which of the following multi-step mechanisms is consistent with this rate equation?
  1. A.Step 1: \(X + Y \rightarrow XY\) (slow); Step 2: \(XY + X \rightarrow \text{products}\) (fast)
  2. B.Step 1: \(2X \rightarrow X_2\) (slow); Step 2: \(X_2 + Y \rightarrow \text{products}\) (fast)
  3. C.Step 1: \(2X \rightleftharpoons X_2\) (fast equilibrium); Step 2: \(X_2 + Y \rightarrow \text{products}\) (slow)
  4. D.Step 1: \(X + Y \rightleftharpoons XY\) (fast equilibrium); Step 2: \(XY + Y \rightarrow \text{products}\) (slow)
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解題

In mechanism C, Step 2 is the rate-determining step, so \(\text{Rate} = k_2[X_2][Y]\). Since Step 1 is a fast equilibrium, the equilibrium constant can be written as \(K_c = \frac{[X_2]}{[X]^2}\), which gives \([X_2] = K_c[X]^2\). Substituting this into the rate equation for the slow step gives \(\text{Rate} = k_2 K_c [X]^2 [Y] = k[X]^2[Y]\). This is consistent with the experimental rate equation.

評分準則

[1 mark] C is correct. Award 1 mark for identifying the mechanism where the pre-equilibrium intermediate substitution yields the experimental second-order dependence on X and first-order dependence on Y.
題目 18 · 選擇題
1
A chemical reaction has a standard enthalpy change, \(\Delta H^\ominus = -115\text{ kJ mol}^{-1}\), and a standard entropy change, \(\Delta S^\ominus = -145\text{ J K}^{-1}\text{ mol}^{-1}\). At what temperature does the reaction become non-spontaneous?
  1. A.\(12.6\text{ K}\)
  2. B.\(167\text{ K}\)
  3. C.\(793\text{ K}\)
  4. D.\(1260\text{ K}\)
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解題

A reaction becomes non-spontaneous when \(\Delta G^\ominus > 0\). The transition occurs at \(\Delta G^\ominus = 0\). Using \(\Delta G^\ominus = \Delta H^\ominus - T\Delta S^\ominus = 0\), we rearrange to find \(T = \frac{\Delta H^\ominus}{\Delta S^\ominus}\). Converting the enthalpy change to joules gives \(\Delta H^\ominus = -115000\text{ J mol}^{-1}\). Thus, \(T = \frac{-115000}{-145} = 793.1\text{ K}\). Above this temperature, the entropy term dominates, making \(\Delta G^\ominus\) positive (non-spontaneous).

評分準則

[1 mark] C is correct. Award 1 mark for correct division of standard enthalpy by standard entropy with appropriate unit conversion to yield approximately 793 K.
題目 19 · 選擇題
1
A buffer solution is prepared by mixing \(50.0\text{ cm}^3\) of \(0.100\text{ mol dm}^{-3}\) propanoic acid (\(K_a = 1.35 \times 10^{-5}\text{ mol dm}^{-3}\)) and \(25.0\text{ cm}^3\) of \(0.100\text{ mol dm}^{-3}\) sodium hydroxide. What is the pH of the resulting buffer solution?
  1. A.\(2.94\)
  2. B.\(4.57\)
  3. C.\(4.87\)
  4. D.\(5.17\)
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解題

First calculate the initial moles of the reactants: moles of propanoic acid = \(0.0500\text{ dm}^3 \times 0.100\text{ mol dm}^{-3} = 0.00500\text{ mol}\); moles of sodium hydroxide added = \(0.0250\text{ dm}^3 \times 0.100\text{ mol dm}^{-3} = 0.00250\text{ mol}\). The acid reacts with the hydroxide ions: \(\text{CH}_3\text{CH}_2\text{COOH} + \text{OH}^- \rightarrow \text{CH}_3\text{CH}_2\text{COO}^- + \text{H}_2\text{O}\). After reaction, remaining propanoic acid = \(0.00500 - 0.00250 = 0.00250\text{ mol}\), and propanoate ions formed = \(0.00250\text{ mol}\). Since the concentration of the weak acid equals the concentration of its conjugate base, \([\text{H}^+] = K_a\), and therefore \(\text{pH} = \text{p}K_a = -\log_{10}(1.35 \times 10^{-5}) = 4.87\).

評分準則

[1 mark] C is correct. Award 1 mark for recognising that the system is at the half-neutralisation point and calculating pH = pKa.
題目 20 · 選擇題
1
Which of the following carbonyl compounds reacts with hydrogen cyanide, \(\text{HCN}\), in the presence of potassium cyanide, \(\text{KCN}\), to produce a racemic mixture containing a chiral carbon atom?
  1. A.propanone
  2. B.butanone
  3. C.pentan-3-one
  4. D.methanal
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解題

Nucleophilic addition of cyanide to a carbonyl group forms a hydroxynitrile. For the product to be chiral, the central carbon must be bonded to four different groups. Propanone forms 2-hydroxy-2-methylpropanenitrile (two identical methyl groups - achiral). Butanone (\(\text{CH}_3\text{COCH}_2\text{CH}_3\)) forms 2-hydroxy-2-methylbutanenitrile, where the central carbon is bonded to \(-\text{OH}\), \(-\text{CN}\), \(-\text{CH}_3\), and \(-\text{CH}_2\text{CH}_3\) (four different groups - chiral). Pentan-3-one forms a product with two ethyl groups (achiral). Methanal forms a product with two hydrogens (achiral).

評分準則

[1 mark] B is correct. Award 1 mark for identifying butanone as the only carbonyl starting material that yields an asymmetric chiral carbon center upon nucleophilic addition of cyanide.
題目 21 · Structured Short Answer & Calculation
14
A student investigates the reaction between peroxodisulfate ions and iodide ions: \(\text{S}_2\text{O}_8^{2-}(\text{aq}) + 2\text{I}^-(\text{aq}) \rightarrow 2\text{SO}_4^{2-}(\text{aq}) + \text{I}_2(\text{aq})\). The following initial rates data were obtained: Experiment 1: \([\text{S}_2\text{O}_8^{2-}] = 0.050\text{ mol dm}^{-3}\), \([\text{I}^-] = 0.040\text{ mol dm}^{-3}\), Initial Rate = \(1.2 \times 10^{-4}\text{ mol dm}^{-3}\text{ s}^{-1}\). Experiment 2: \([\text{S}_2\text{O}_8^{2-}] = 0.100\text{ mol dm}^{-3}\), \([\text{I}^-] = 0.040\text{ mol dm}^{-3}\), Initial Rate = \(2.4 \times 10^{-4}\text{ mol dm}^{-3}\text{ s}^{-1}\). Experiment 3: \([\text{S}_2\text{O}_8^{2-}] = 0.050\text{ mol dm}^{-3}\), \([\text{I}^-] = 0.080\text{ mol dm}^{-3}\), Initial Rate = \(2.4 \times 10^{-4}\text{ mol dm}^{-3}\text{ s}^{-1}\). (a) Deduce the order of reaction with respect to each reactant and write the rate equation. [4 marks] (b) Calculate the rate constant, \(k\), using the data from Experiment 1, and state its units. [3 marks] (c) Propose a two-step reaction mechanism consistent with this rate equation, clearly identifying the rate-determining step. [3 marks] (d) The rate constant for this reaction is \(3.0 \times 10^{-2}\text{ dm}^3\text{ mol}^{-1}\text{ s}^{-1}\) at \(298\text{ K}\) and \(1.2 \times 10^{-1}\text{ dm}^3\text{ mol}^{-1}\text{ s}^{-1}\) at \(318\text{ K}\). Calculate the activation energy, \(E_a\), for this reaction in \(kJ\text{ mol}^{-1}\). (Gas constant \(R = 8.31\text{ J K}^{-1}\text{ mol}^{-1}\)) [4 marks]
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解題

(a) Comparing Exp 1 and 2: \([\text{I}^-]\) is constant, \([\text{S}_2\text{O}_8^{2-}]\) doubles, and rate doubles. Therefore, the order with respect to \([\text{S}_2\text{O}_8^{2-}]\) is 1. Comparing Exp 1 and 3: \([\text{S}_2\text{O}_8^{2-}]\) is constant, \([\text{I}^-]\) doubles, and rate doubles. Therefore, the order with respect to \([\text{I}^-]\) is 1. The overall rate equation is: \(\text{Rate} = k[\text{S}_2\text{O}_8^{2-}][\text{I}^-]\). (b) Rearranging the rate equation: \(k = \frac{\text{Rate}}{[\text{S}_2\text{O}_8^{2-}][\text{I}^-]} = \frac{1.2 \times 10^{-4}}{0.050 \times 0.040} = 0.060\). Units: \(\text{dm}^3\text{ mol}^{-1}\text{ s}^{-1}\). (c) Step 1 (slow, rate-determining step): \(\text{S}_2\text{O}_8^{2-} + \text{I}^- \rightarrow \text{SO}_4^{2-} + \text{SO}_4\text{I}^-\). Step 2 (fast): \(\text{SO}_4\text{I}^- + \text{I}^- \rightarrow \text{SO}_4^{2-} + \text{I}_2\). (d) Using the Arrhenius relation: \(\ln\left(\frac{k_2}{k_1}\right) = -\frac{E_a}{R}\left(\frac{1}{T_2} - \frac{1}{T_1}\right)\). \(\ln\left(\frac{1.2 \times 10^{-1}}{3.0 \times 10^{-2}}\right) = \ln(4) = 1.3863\). \(\left(\frac{1}{298} - \frac{1}{318}\right) = 0.0033557 - 0.0031447 = 0.0002110\text{ K}^{-1}\). \(E_a = -\frac{1.3863 \times 8.31}{-0.0002110} = 54599\text{ J mol}^{-1} = 54.6\text{ kJ mol}^{-1}\).

評分準則

(a) 1 mark for order 1 wrt peroxodisulfate with explanation. 1 mark for order 1 wrt iodide with explanation. 1 mark for correct deduction process. 1 mark for correct rate equation. (b) 1 mark for rearranging formula. 1 mark for correct value 0.060. 1 mark for correct units. (c) 1 mark for Step 1 reacting one peroxodisulfate and one iodide. 1 mark for identifying Step 1 as slow/RDS. 1 mark for a consistent Step 2 that yields the overall stoichiometry. (d) 1 mark for correct calculation of ln(k2/k1). 1 mark for correct calculation of (1/T1 - 1/T2). 1 mark for rearrangement of Arrhenius formula. 1 mark for final activation energy of 54.6 (accept 54.5 to 55.0) with unit kJ/mol.
題目 22 · Structured Short Answer & Calculation
14
(a) Write the expression for the acid dissociation constant, \(K_a\), of propanoic acid, \(\text{C}_2\text{H}_5\text{COOH}\). Calculate the pH of a \(0.150\text{ mol dm}^{-3}\) solution of propanoic acid (\(K_a = 1.35 \times 10^{-5}\text{ mol dm}^{-3}\) at 298 K). [4 marks] (b) A buffer solution is prepared by mixing \(50.0\text{ cm}^3\) of \(0.150\text{ mol dm}^{-3}\) propanoic acid with \(25.0\text{ cm}^3\) of \(0.100\text{ mol dm}^{-3}\) sodium hydroxide. (i) Calculate the moles of propanoic acid and sodium propanoate in the buffer solution. [3 marks] (ii) Calculate the pH of this buffer solution at 298 K. [3 marks] (c) Sketch a titration curve for adding \(0.100\text{ mol dm}^{-3}\) sodium hydroxide to \(25.0\text{ cm}^3\) of \(0.150\text{ mol dm}^{-3}\) propanoic acid. State the volume of NaOH at the equivalence point, and select an appropriate indicator from phenolphthalein (pH range 8.2-10.0) or methyl orange (pH range 3.1-4.4) with justification. [4 marks]
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解題

(a) \(K_a = \frac{[\text{C}_2\text{H}_5\text{COO}^-][\text{H}^+]}{[\text{C}_2\text{H}_5\text{COOH}]}\). Assuming \([\text{H}^+] = [\text{C}_2\text{H}_5\text{COO}^-]\) and dissociation is negligible, \([\text{H}^+] = \sqrt{K_a \times [\text{acid}]} = \sqrt{1.35 \times 10^{-5} \times 0.150} = 1.423 \times 10^{-3}\text{ mol dm}^{-3}\). \(\text{pH} = -\log_{10}(1.423 \times 10^{-3}) = 2.85\). (b)(i) Initial moles of acid = \(0.0500 \times 0.150 = 7.50 \times 10^{-3}\text{ mol}\). Moles of NaOH added = \(0.0250 \times 0.100 = 2.50 \times 10^{-3}\text{ mol}\). Moles of propanoate ions formed = \(2.50 \times 10^{-3}\text{ mol}\). Moles of remaining propanoic acid = \(7.50 \times 10^{-3} - 2.50 \times 10^{-3} = 5.00 \times 10^{-3}\text{ mol}\). (b)(ii) \(\text{pH} = \text{p}K_a + \log_{10}\left(\frac{[\text{salt}]}{[\text{acid}]}\right)\). \(\text{p}K_a = -\log_{10}(1.35 \times 10^{-5}) = 4.87\). \(\text{pH} = 4.87 + \log_{10}\left(\frac{2.50 \times 10^{-3}}{5.00 \times 10^{-3}}\right) = 4.87 - 0.30 = 4.57\). (c) The equivalence point occurs when moles of NaOH equal moles of propanoic acid: \(V_{\text{NaOH}} = \frac{0.150 \times 25.0}{0.100} = 37.5\text{ cm}^3\). Phenolphthalein is selected because the equivalence point pH is basic (>7) and its transition range (8.2 - 10.0) lies entirely within the vertical section of the titration curve.

評分準則

(a) 1 mark for correct Ka expression. 1 mark for assumption statement or working. 1 mark for correct hydrogen ion concentration. 1 mark for pH = 2.85. (b)(i) 1 mark for calculating initial moles of acid. 1 mark for moles of NaOH. 1 mark for correct equilibrium buffer moles of both acid and salt. (b)(ii) 1 mark for calculating pKa. 1 mark for buffer formula substitution. 1 mark for final pH of 4.57. (c) 1 mark for sketching curve starting at pH ~2.9 with a vertical buffer region. 1 mark for vertical section centered at 37.5 cm3. 1 mark for selecting phenolphthalein. 1 mark for explaining that the vertical pH jump matches phenolphthalein's transition range.
題目 23 · Structured Short Answer & Calculation
14
(a) Define the term standard entropy of a substance, \(S^{\ominus}\). [2 marks] (b) Consider the thermal decomposition of calcium carbonate: \(\text{CaCO}_3(\text{s}) \rightarrow \text{CaO}(\text{s}) + \text{CO}_2(\text{g})\). Standard entropies, \(S^{\ominus}\) (at 298 K): \(\text{CaCO}_3(\text{s}) = 92.9\text{ J K}^{-1}\text{ mol}^{-1}\), \(\text{CaO}(\text{s}) = 39.7\text{ J K}^{-1}\text{ mol}^{-1}\), \(\text{CO}_2(\text{g}) = 213.6\text{ J K}^{-1}\text{ mol}^{-1}\). (i) Calculate the standard entropy change of the system, \(\Delta S^{\ominus}_{\text{system}}\), for this reaction. Explain the sign of your answer. [3 marks] (ii) The standard enthalpy change, \(\Delta H^{\ominus}\), for this reaction is \(+178\text{ kJ mol}^{-1}\). Calculate the standard entropy change of the surroundings, \(\Delta S^{\ominus}_{\text{surroundings}}\), at 298 K. [3 marks] (iii) Calculate the total entropy change, \(\Delta S^{\ominus}_{\text{total}}\), at 298 K. State, with a reason, whether the reaction is feasible at this temperature. [3 marks] (c) Calculate the minimum temperature (in K) at which this decomposition reaction becomes feasible. Assume that both \(\Delta H^{\ominus}\) and \(\Delta S^{\ominus}_{\text{system}}\) are independent of temperature. [3 marks]
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解題

(a) The entropy of one mole of a substance under standard conditions of 100 kPa pressure and a specified temperature (normally 298 K). (b)(i) \(\Delta S^{\ominus}_{\text{system}} = \sum S^{\ominus}(\text{products}) - \sum S^{\ominus}(\text{reactants}) = (39.7 + 213.6) - 92.9 = +160.4\text{ J K}^{-1}\text{ mol}^{-1}\). The sign is positive because there is an increase in the disorder of the system due to the production of a gas molecule from a solid reactant. (b)(ii) \(\Delta S^{\ominus}_{\text{surroundings}} = -\frac{\Delta H^{\ominus}}{T} = -\frac{+178 \times 10^3\text{ J mol}^{-1}}{298\text{ K}} = -597.3\text{ J K}^{-1}\text{ mol}^{-1}\). (b)(iii) \(\Delta S^{\ominus}_{\text{total}} = \Delta S^{\ominus}_{\text{system}} + \Delta S^{\ominus}_{\text{surroundings}} = +160.4 - 597.3 = -436.9\text{ J K}^{-1}\text{ mol}^{-1}\). The reaction is not feasible at 298 K because the total entropy change is negative. (c) For the reaction to be feasible, \(\Delta S^{\ominus}_{\text{total}} \ge 0\). Therefore, \(\Delta S^{\ominus}_{\text{system}} - \frac{\Delta H^{\ominus}}{T} \ge 0 \Rightarrow T \ge \frac{\Delta H^{\ominus}}{\Delta S^{\ominus}_{\text{system}}}\). \(T = \frac{178000\text{ J mol}^{-1}}{160.4\text{ J K}^{-1}\text{ mol}^{-1}} = 1109.7\text{ K}\) (or \(1110\text{ K}\)).

評分準則

(a) 1 mark for 'entropy of one mole'. 1 mark for specifying 'under standard conditions of 100 kPa and specified temperature'. (b)(i) 1 mark for working. 1 mark for correct value (+160.4 J K-1 mol-1). 1 mark for explanation involving solid to gas conversion. (b)(ii) 1 mark for formula. 1 mark for converting kJ to J. 1 mark for correct calculation (-597.3 J K-1 mol-1). (b)(iii) 1 mark for correct addition. 1 mark for value (-436.9 J K-1 mol-1). 1 mark for stating not feasible because total entropy is negative. (c) 1 mark for setting up inequality or equation T = dH/dS. 1 mark for correct division with values. 1 mark for correct temperature of 1110 K (or 1109.7 K).
題目 24 · Structured Short Answer & Calculation
14
(a) Propanal and propanone are structural isomers. (i) Give a chemical test, including reagents and observations, that can be used to distinguish between propanal and propanone. [2 marks] (ii) Describe the appearance of the \(^{1}\text{H}\) NMR spectrum of propanone, including chemical shift range, splitting pattern, and relative peak area. [3 marks] (b) Propanal reacts with hydrogen cyanide, \(\text{HCN}\), in the presence of a catalyst to form 2-hydroxybutanenitrile. (i) Write the chemical equation for this reaction and state the catalyst used. [2 marks] (ii) Draw the mechanism for this reaction, using curly arrows and showing any relevant lone pairs and dipoles. [4 marks] (iii) Explain why the product, 2-hydroxybutanenitrile, is formed as a racemic mixture and has no optical activity. [3 marks]
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解題

(a)(i) Reagent: Tollens' reagent (or Fehling's solution). Observation: Propanal forms a silver mirror (or red precipitate), while propanone shows no change. (a)(ii) Propanone has only one hydrogen environment. Its spectrum shows: 1 peak (singlet) due to zero adjacent protons on neighboring carbons; Chemical shift range of 2.0-3.0 ppm (protons adjacent to a carbonyl group); Relative peak area (integration) of 6. (b)(i) \(\text{CH}_3\text{CH}_2\text{CHO} + \text{HCN} \rightarrow \text{CH}_3\text{CH}_2\text{CH(OH)CN}\). Catalyst: \(\text{KCN}\) (or trace alkali, \(\text{OH}^-\)). (b)(ii) Mechanism: 1. Curly arrow from lone pair on carbon of \(:\text{CN}^-\) to the carbonyl carbon. 2. Dipole shown on carbonyl group (C is \(\delta^+\), O is \(\delta^-\)) and curly arrow from \(\text{C}=\text{O}\) double bond to the oxygen atom. 3. Structure of intermediate \(\text{CH}_3\text{CH}_2\text{CH}(\text{O}^-)\text{CN}\) drawn correctly with charge on oxygen. 4. Curly arrow from lone pair on intermediate \(\text{O}^-\) to a hydrogen ion (or to H of HCN) to form the final product. (b)(iii) The carbonyl carbon of propanal has a planar geometry. The nucleophile (cyanide ion) is equally likely to attack the planar carbonyl carbon from either above or below the plane. This produces equal amounts (a 50:50 ratio) of both enantiomers, whose optical rotations cancel each other out, resulting in no overall optical activity.

評分準則

(a)(i) 1 mark for reagent (Tollens' or Fehling's). 1 mark for correct observation with propanal vs no reaction for propanone. (a)(ii) 1 mark for stating singlet. 1 mark for correct chemical shift range (2.0-3.0 ppm). 1 mark for relative area of 6. (b)(i) 1 mark for correct equation. 1 mark for catalyst (KCN/NaCN/alkali). (b)(ii) 1 mark for nucleophilic attack curly arrow from CN- to C. 1 mark for dipole and carbonyl pi-bond arrow. 1 mark for intermediate structure. 1 mark for protonation of intermediate to form OH. (b)(iii) 1 mark for stating that the carbonyl carbon is planar. 1 mark for equal probability of attack from either side. 1 mark for stating equal amounts of enantiomers formed which cancel out optical activity.
題目 25 · Structured Short Answer & Calculation
14
(a) Write an expression for the equilibrium constant, \(K_p\), for the dissociation of phosphorus pentachloride: \(\text{PCl}_5(\text{g}) \rightleftharpoons \text{PCl}_3(\text{g}) + \text{Cl}_2(\text{g})\). [1 mark] (b) In an experiment, \(1.50\text{ moles}\) of \(\text{PCl}_5\) were placed in a sealed container of fixed volume and heated to a temperature \(T\). When equilibrium was reached, the total pressure of the system was \(1.80\text{ atm}\) and \(\text{PCl}_5\) was found to be \(40.0\%\) dissociated. (i) Calculate the equilibrium moles of \(\text{PCl}_5\), \(\text{PCl}_3\), and \(\text{Cl}_2\). [3 marks] (ii) Calculate the mole fraction of each gas at equilibrium. [3 marks] (iii) Calculate the partial pressure of each gas at equilibrium. [3 marks] (iv) Calculate the value of \(K_p\) at temperature \(T\), stating its units. [3 marks] (c) State, with a reason, the effect on the value of \(K_p\) if the total pressure of the container were increased at constant temperature. [1 mark]
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解題

(a) \(K_p = \frac{p(\text{PCl}_3) \times p(\text{Cl}_2)}{p(\text{PCl}_5)}\). (b)(i) Dissociation percentage = 40.0%. Moles of PCl5 reacted = \(1.50 \times 0.400 = 0.600\text{ mol}\). Moles at equilibrium: \(\text{PCl}_5 = 1.50 - 0.600 = 0.900\text{ mol}\); \(\text{PCl}_3 = 0.600\text{ mol}\); \(\text{Cl}_2 = 0.600\text{ mol}\). (b)(ii) Total equilibrium moles = \(0.900 + 0.600 + 0.600 = 2.100\text{ mol}\). Mole fractions (\(\chi\)): \(\chi(\text{PCl}_5) = \frac{0.900}{2.100} = 0.429\); \(\chi(\text{PCl}_3) = \frac{0.600}{2.100} = 0.286\); \(\chi(\text{Cl}_2) = \frac{0.600}{2.100} = 0.286\). (b)(iii) Partial pressure (\(p = \chi \times P_{\text{total}}\)): \(p(\text{PCl}_5) = 0.4286 \times 1.80 = 0.771\text{ atm}\); \(p(\text{PCl}_3) = 0.2857 \times 1.80 = 0.514\text{ atm}\); \(p(\text{Cl}_2) = 0.2857 \times 1.80 = 0.514\text{ atm}\). (b)(iv) \(K_p = \frac{0.514 \times 0.514}{0.771} = 0.343\). Units: \(\text{atm}\). (c) No change because \(K_p\) is only affected by changes in temperature.

評分準則

(a) 1 mark for correct Kp expression using partial pressures (p). (b)(i) 1 mark for moles of PCl5 reacted. 1 mark for equilibrium moles of PCl5 (0.90). 1 mark for equilibrium moles of PCl3 and Cl2 (0.60 each). (b)(ii) 1 mark for total moles calculation. 1 mark for mole fraction of PCl5. 1 mark for mole fractions of products. (b)(iii) 1 mark for correct partial pressure of PCl5. 1 mark for partial pressure of PCl3. 1 mark for partial pressure of Cl2. (b)(iv) 1 mark for correct Kp substitution. 1 mark for value (accept 0.340-0.345 depending on rounding). 1 mark for correct unit (atm). (c) 1 mark for stating no change because only temperature changes Kp.

部分 WCH15/01 (Unit 5)

Answer all questions. Section A and B. Show all working.
25 題目 · 90
題目 1 · 選擇題
1
An electrochemical cell has a standard cell potential, \(E^\ominus_{\text{cell}} = +0.45\text{ V}\) at \(298\text{ K}\). If the cell reaction involves the transfer of two moles of electrons (\(n = 2\)), what is the standard total entropy change, \(\Delta S^\ominus_{\text{total}}\), for this reaction at \(298\text{ K}\)?

(Faraday constant, \(F = 96500\text{ C mol}^{-1}\))
  1. A.+146 J K^{-1} mol^{-1}
  2. B.+291 J K^{-1} mol^{-1}
  3. C.+583 J K^{-1} mol^{-1}
  4. D.-291 J K^{-1} mol^{-1}
查看答案詳解

解題

The relationship between standard cell potential and standard total entropy change is given by the equation:

\(\Delta S^\ominus_{\text{total}} = \frac{n F E^\ominus_{\text{cell}}}{T}\)

Substitute the given values into the equation:

\(\Delta S^\ominus_{\text{total}} = \frac{2 \times 96500 \text{ C mol}^{-1} \times 0.45 \text{ V}}{298 \text{ K}}\)

\(\Delta S^\ominus_{\text{total}} = \frac{86850}{298} = +291.44 \text{ J K}^{-1} \text{ mol}^{-1}\)

To 3 significant figures, this is \(+291 \text{ J K}^{-1} \text{ mol}^{-1}\).

評分準則

- [1] for calculating \(\Delta S^\ominus_{\text{total}} = +291 \text{ J K}^{-1} \text{ mol}^{-1}\) using the correct formula and values.
- Reject other values due to incorrect use of \(n\) or incorrect signs.
題目 2 · 選擇題
1
Which of the following transition metal ions has the highest number of unpaired d-electrons in its ground state?
  1. A.\(\text{Cr}^{3+}\)
  2. B.\(\text{Fe}^{3+}\)
  3. C.\(\text{Co}^{2+}\)
  4. D.\(\text{Cu}^{2+}\)
查看答案詳解

解題

The electronic configurations of the transition metal ions are:
- \(\text{Cr}^{3+}\): \([\text{Ar}] 3\text{d}^3\) (3 unpaired electrons in d-orbitals)
- \(\text{Fe}^{3+}\): \([\text{Ar}] 3\text{d}^5\) (5 unpaired electrons in d-orbitals)
- \(\text{Co}^{2+}\): \([\text{Ar}] 3\text{d}^7\) (3 unpaired electrons in d-orbitals)
- \(\text{Cu}^{2+}\): \([\text{Ar}] 3\text{d}^9\) (1 unpaired electron in d-orbital)

Therefore, \(\text{Fe}^{3+}\) has the highest number of unpaired d-electrons (5).

評分準則

- [1] for correctly identifying \(\text{Fe}^{3+}\) as having 5 unpaired d-electrons.
題目 3 · 選擇題
1
When methylbenzene reacts with a mixture of concentrated nitric acid and concentrated sulfuric acid at \(50\ ^\circ\text{C}\), which of the following represents the main organic product(s) formed?
  1. A.Only 3-nitromethylbenzene
  2. B.A mixture of 2-nitromethylbenzene and 4-nitromethylbenzene
  3. C.Only 2,4,6-trinitromethylbenzene
  4. D.(Nitromethyl)benzene
查看答案詳解

解題

The methyl group (\(-\text{CH}_3\)) on the benzene ring is electron-donating via a positive inductive effect. This activates the ring and directs substitution to the 2- and 4-positions (ortho and para positions). Under mild nitration conditions (around \(50\ ^\circ\text{C}\)), mono-nitration occurs, producing a mixture of 2-nitromethylbenzene and 4-nitromethylbenzene.

評分準則

- [1] for identifying that methylbenzene undergoes mono-nitration at \(50\ ^\circ\text{C}\) to yield mainly a mixture of 2-nitromethylbenzene and 4-nitromethylbenzene.
題目 4 · 選擇題
1
Which of the following compounds forms an aqueous solution with the highest pH at a concentration of \(0.1\text{ mol dm}^{-3}\)?
  1. A.\(\text{C}_6\text{H}_5\text{NH}_2\)
  2. B.\(\text{NH}_3\)
  3. C.\(\text{CH}_3\text{CH}_2\text{NH}_2\)
  4. D.\(\text{CH}_3\text{CONH}_2\)
查看答案詳解

解題

The pH of the solution is determined by the concentration of hydroxide ions produced. The strength of the base depends on the availability of the lone pair of electrons on the nitrogen atom to accept a proton:
- Ethylamine (\(\text{CH}_3\text{CH}_2\text{NH}_2\)) is an aliphatic amine. The ethyl group is electron-donating, which increases the electron density on the nitrogen atom, making its lone pair more available. Hence, it is the strongest base and has the highest pH.
- Ammonia (\(\text{NH}_3\)) has no electron-donating alkyl groups and is a weaker base than ethylamine.
- Phenylamine (\(\text{C}_6\text{H}_5\text{NH}_2\)) is a weaker base because the lone pair on the nitrogen atom is delocalized into the \(\pi\)-system of the benzene ring.
- Ethanamide (\(\text{CH}_3\text{CONH}_2\)) is neutral/very weakly basic due to the strongly electron-withdrawing carbonyl group adjacent to the nitrogen.

評分準則

- [1] for selecting \(\text{CH}_3\text{CH}_2\text{NH}_2\) as the strongest base / highest pH.
題目 5 · 選擇題
1
Consider the following ligand exchange reaction:

\[[\text{Co}(\text{H}_2\text{O})_6]^{2+}(\text{aq}) + 4\text{Cl}^-(\text{aq}) \rightleftharpoons [\text{CoCl}_4]^{2-}(\text{aq}) + 6\text{H}_2\text{O}(\text{l})\]

What are the coordination numbers of the reactant and product cobalt complexes, and the geometry of the product complex?
  1. A.Reactant coordination number: 6; Product coordination number: 4; Product geometry: Tetrahedral
  2. B.Reactant coordination number: 6; Product coordination number: 4; Product geometry: Square planar
  3. C.Reactant coordination number: 6; Product coordination number: 6; Product geometry: Octahedral
  4. D.Reactant coordination number: 4; Product coordination number: 4; Product geometry: Tetrahedral
查看答案詳解

解題

In the reactant complex, \([\text{Co}(\text{H}_2\text{O})_6]^{2+}\), there are six monodentate water ligands, so the coordination number is 6 (geometry is octahedral).
In the product complex, \([\text{CoCl}_4]^{2-}\), there are four chloride ligands. Since chloride ligands are larger and negatively charged, only four can fit around the cobalt ion. The coordination number is 4 and the geometry is tetrahedral.
Therefore, the correct description is coordination number 6 for the reactant, coordination number 4 for the product, and tetrahedral geometry for the product.

評分準則

- [1] for selecting the option with reactant coordination number 6, product coordination number 4, and tetrahedral product geometry.
題目 6 · 選擇題
1
How many structural isomers of amines with the molecular formula \(\text{C}_3\text{H}_9\text{N}\) can react with nitrous acid (\(\text{HNO}_2\)) at room temperature to produce nitrogen gas?
  1. A.1
  2. B.2
  3. C.3
  4. D.4
查看答案詳解

解題

Primary aliphatic amines react with nitrous acid (\(\text{HNO}_2\)) at room temperature to form unstable diazonium salts, which rapidly decompose to release nitrogen gas (\(\text{N}_2\)) and form alcohols.
Let's find the structural isomers of amines with molecular formula \(\text{C}_3\text{H}_9\text{N}\):
1. Propan-1-amine: \(\text{CH}_3\text{CH}_2\text{CH}_2\text{NH}_2\) (Primary amine) - reacts to evolve \(\text{N}_2\) gas.
2. Propan-2-amine: \(\text{CH}_3\text{CH}(\text{NH}_2)\text{CH}_3\) (Primary amine) - reacts to evolve \(\text{N}_2\) gas.
3. N-methylethanamine: \(\text{CH}_3\text{NHCH}_2\text{CH}_3\) (Secondary amine) - reacts to form a yellow oily nitrosamine, no gas evolved.
4. Trimethylamine: \((\text{CH}_3)_3\text{N}\) (Tertiary amine) - forms a soluble salt, no gas evolved.

Thus, exactly 2 isomers of formula \(\text{C}_3\text{H}_9\text{N}\) react with nitrous acid to evolve gas.

評分準則

- [1] for identifying that only primary amines react with nitrous acid to produce gas, and that there are exactly 2 primary amine structural isomers of formula \(\text{C}_3\text{H}_9\text{N}\).
題目 7 · 選擇題
1
An electrochemical cell is set up under standard conditions:

\[\text{Pt(s)} \mid \text{Fe}^{2+}(\text{aq}), \text{Fe}^{3+}(\text{aq}) \parallel \text{MnO}_4^-(\text{aq}) + 8\text{H}^+(\text{aq}), \text{Mn}^{2+}(\text{aq}) + 4\text{H}_2\text{O(l)} \mid \text{Pt(s)}\]

Which of the following statements is correct when the cell delivers a current?
  1. A.Iron(II) ions are reduced at the left-hand electrode.
  2. B.The pH of the right-hand half-cell increases.
  3. C.The mass of the platinum electrode on the left increases.
  4. D.Electrons flow in the external circuit from the right-hand electrode to the left-hand electrode.
查看答案詳解

解題

Let's look at the standard electrode potentials:
- Left half-cell: \(\text{Fe}^{3+}(\text{aq}) + e^- \rightleftharpoons \text{Fe}^{2+}(\text{aq}) \quad E^\ominus = +0.77\text{ V}\)
- Right half-cell: \(\text{MnO}_4^-(\text{aq}) + 8\text{H}^+ + 5e^- \rightleftharpoons \text{Mn}^{2+}(\text{aq}) + 4\text{H}_2\text{O(l)} \quad E^\ominus = +1.51\text{ V}\)

Since the right-hand electrode has a more positive standard potential, reduction occurs in the right-hand half-cell (cathode):
\(\text{MnO}_4^-(\text{aq}) + 8\text{H}^+(\text{aq}) + 5e^- \to \text{Mn}^{2+}(\text{aq}) + 4\text{H}_2\text{O(l)}\)

This process consumes \(\text{H}^+\) ions, reducing their concentration, which increases the pH.
- Left half-cell undergoes oxidation (anode): \(\text{Fe}^{2+}(\text{aq}) \to \text{Fe}^{3+}(\text{aq}) + e^-\). Thus, iron(II) is oxidized, not reduced.
- The platinum electrodes are inert and their mass does not change.
- Electrons flow in the external circuit from the negative electrode (anode, left) to the positive electrode (cathode, right).

評分準則

- [1] for identifying that the right-hand half-cell consumes \(\text{H}^+\) ions, leading to an increase in pH.
題目 8 · 選擇題
1
Which of the following transition metal species is colorless in aqueous solution?
  1. A.\([\text{Sc}(\text{H}_2\text{O})_6]^{3+}\)
  2. B.\([\text{V}(\text{H}_2\text{O})_6]^{3+}\)
  3. C.\([\text{Cr}(\text{H}_2\text{O})_6]^{3+}\)
  4. D.\([\text{Fe}(\text{H}_2\text{O})_6]^{3+}\)
查看答案詳解

解題

A transition metal species is colored because of d-d transitions. This requires a partially filled d-subshell.
- \(\text{Sc}^{3+}\) has the electronic configuration \([\text{Ar}] 3\text{d}^0\). Because there are no d-electrons, d-d transition cannot occur. Therefore, \([\text{Sc}(\text{H}_2\text{O})_6]^{3+}\) is colorless.
- \(\text{V}^{3+}\) (\(3\text{d}^2\)), \(\text{Cr}^{3+}\) (\(3\text{d}^3\)), and \(\text{Fe}^{3+}\) (\(3\text{d}^5\)) all have partially filled d-orbitals and form colored aqueous complexes.

評分準則

- [1] for identifying \([\text{Sc}(\text{H}_2\text{O})_6]^{3+}\) as the colorless complex due to its \(3\text{d}^0\) configuration.
題目 9 · 選擇題
1
The standard electrode potentials for two half-cells are given below: \( \text{Ce}^{4+}(aq) + e^- \rightleftharpoons \text{Ce}^{3+}(aq) \quad E^\ominus = +1.70\text{ V} \) and \( \text{AsO}_4^{3-}(aq) + 2\text{H}^+(aq) + 2e^- \rightleftharpoons \text{AsO}_3^{3-}(aq) + \text{H}_2\text{O}(l) \quad E^\ominus = +0.56\text{ V} \). What is the standard cell potential, \( E^\ominus_{\text{cell}} \), in V, for the following reaction? \( 2\text{Ce}^{4+}(aq) + \text{AsO}_3^{3-}(aq) + \text{H}_2\text{O}(l) \to 2\text{Ce}^{3+}(aq) + \text{AsO}_4^{3-}(aq) + 2\text{H}^+(aq) \)
  1. A.+1.14 V
  2. B.+2.28 V
  3. C.+2.84 V
  4. D.+0.58 V
查看答案詳解

解題

In this reaction, \( \text{Ce}^{4+} \) is reduced to \( \text{Ce}^{3+} \) (reduction half-equation has \( E^\ominus = +1.70\text{ V} \)), and \( \text{AsO}_3^{3-} \) is oxidized to \( \text{AsO}_4^{3-} \) (oxidation half-equation has \( E^\ominus = +0.56\text{ V} \)). The standard cell potential is calculated using: \( E^\ominus_{\text{cell}} = E^\ominus_{\text{reduction}} - E^\ominus_{\text{oxidation}} = +1.70 - (+0.56) = +1.14\text{ V} \). Note that multiplying the stoichiometry of the half-equations to balance the electrons does not affect the standard electrode potential values.

評分準則

1 mark for the correct calculation: \( E^\ominus_{\text{cell}} = +1.14\text{ V} \).
題目 10 · 選擇題
1
Which of the following describes the color change and geometry change when excess concentrated hydrochloric acid is added to an aqueous solution of cobalt(II) sulfate?
  1. A.Pink to blue, and octahedral to tetrahedral
  2. B.Blue to pink, and tetrahedral to octahedral
  3. C.Pink to blue, and tetrahedral to octahedral
  4. D.Blue to green, and octahedral to square planar
查看答案詳解

解題

Aqueous cobalt(II) sulfate contains the pink, octahedral hexaaquacobalt(II) ion, \( [\text{Co}(\text{H}_2\text{O})_6]^{2+} \). When excess concentrated hydrochloric acid is added, a ligand substitution reaction occurs to form the blue, tetrahedral tetrachlorocobaltate(II) ion, \( [\text{CoCl}_4]^{2-} \).

評分準則

1 mark for selecting the correct option showing 'pink to blue' and 'octahedral to tetrahedral'.
題目 11 · 選擇題
1
In the nitration of benzene using a mixture of concentrated nitric acid and concentrated sulfuric acid, what is the role of the sulfuric acid?
  1. A.It acts as an acid catalyst to help generate the electrophile, \( \text{NO}_2^+ \)
  2. B.It acts as an oxidizing agent to oxidize benzene
  3. C.It acts as a solvent to dissolve the benzene
  4. D.It acts as a nucleophile to attack the benzene ring
查看答案詳解

解題

Concentrated sulfuric acid acts as a catalyst in this reaction. It protonates nitric acid, which subsequently loses water to generate the electrophile, the nitronium ion (\( \text{NO}_2^+ \)). It is regenerated at the end of the mechanism.

評分準則

1 mark for identifying sulfuric acid as an acid catalyst to help generate the electrophile.
題目 12 · 選擇題
1
Which of the following represents the correct order of increasing basicity (weakest base first) of phenylamine, ammonia, and ethylamine in aqueous solution?
  1. A.phenylamine < ammonia < ethylamine
  2. B.ethylamine < ammonia < phenylamine
  3. C.ammonia < phenylamine < ethylamine
  4. D.phenylamine < ethylamine < ammonia
查看答案詳解

解題

Phenylamine is the weakest base because the lone pair of electrons on the nitrogen atom is partially delocalized into the \( \pi \)-system of the benzene ring, making it less available to accept a proton. Ammonia is stronger than phenylamine. Ethylamine is the strongest base because the ethyl group is electron-releasing (positive inductive effect), which increases the electron density on the nitrogen atom and makes its lone pair more available to accept a proton.

評分準則

1 mark for identifying the correct order: phenylamine < ammonia < ethylamine.
題目 13 · 選擇題
1
In the redox reaction between ethanedioate ions (\( \text{C}_2\text{O}_4^{2-} \)) and manganate(VII) ions (\( \text{MnO}_4^- \)) in acidic solution, the reaction rate increases as the reaction progresses. Which species acts as the catalyst for this reaction?
  1. A.\( \text{Mn}^{2+}(aq) \)
  2. B.\( \text{Mn}^{3+}(aq) \)
  3. C.\( \text{Fe}^{2+}(aq) \)
  4. D.\( \text{CO}_2(g) \)
查看答案詳解

解題

The reaction is autocatalyzed by the manganese(II) ions, \( \text{Mn}^{2+} \), which are produced as a product. Initially, the reaction is very slow because it involves the collision of two negatively charged ions. Once some \( \text{Mn}^{2+} \) forms, it acts as an intermediate catalyst via temporary changes in its oxidation state.

評分準則

1 mark for identifying \( \text{Mn}^{2+}(aq) \) as the autocatalyst.
題目 14 · 選擇題
1
During the preparation and purification of a solid organic product, a student recrystallizes the crude solid. Which of the following is a key property required of the solvent chosen for recrystallization?
  1. A.The solid product must be highly soluble in the hot solvent but very poorly soluble in the cold solvent.
  2. B.The solid product must be highly soluble in the solvent at all temperatures.
  3. C.The impurities must be completely insoluble in the solvent at all temperatures.
  4. D.The solvent must have a boiling point higher than the melting point of the solid product.
查看答案詳解

解題

For recrystallization to succeed, the desired solid product must be highly soluble in the chosen hot solvent but very poorly soluble in the cold solvent. This ensures the maximum yield of crystals upon cooling while leaving soluble impurities behind in the cold filtrate.

評分準則

1 mark for identifying the solubility temperature-dependency requirement of the ideal recrystallization solvent.
題目 15 · 選擇題
1
Given the standard electrode potentials: \( \text{I}_2(aq) + 2e^- \rightleftharpoons 2\text{I}^-(aq) \quad E^\ominus = +0.54\text{ V} \), \( \text{Fe}^{3+}(aq) + e^- \rightleftharpoons \text{Fe}^{2+}(aq) \quad E^\ominus = +0.77\text{ V} \), \( \text{Br}_2(aq) + 2e^- \rightleftharpoons 2\text{Br}^-(aq) \quad E^\ominus = +1.09\text{ V} \). Which of the following statements is correct under standard conditions?
  1. A.\( \text{Fe}^{3+}(aq) \) can oxidize \( \text{I}^-(aq) \) but cannot oxidize \( \text{Br}^-(aq) \).
  2. B.\( \text{Fe}^{3+}(aq) \) can oxidize both \( \text{I}^-(aq) \) and \( \text{Br}^-(aq) \).
  3. C.\( \text{Fe}^{3+}(aq) \) cannot oxidize either \( \text{I}^-(aq) \) or \( \text{Br}^-(aq) \).
  4. D.\( \text{Fe}^{2+}(aq) \) can reduce both \( \text{I}_2(aq) \) and \( \text{Br}_2(aq) \).
查看答案詳解

解題

An oxidation reaction is thermodynamically feasible if \( E^\ominus_{\text{cell}} > 0 \). For \( \text{Fe}^{3+} \) oxidizing \( \text{I}^- \): \( E^\ominus_{\text{cell}} = E^\ominus(\text{reduction}) - E^\ominus(\text{oxidation}) = 0.77 - 0.54 = +0.23\text{ V} \) (feasible). For \( \text{Fe}^{3+} \) oxidizing \( \text{Br}^- \): \( E^\ominus_{\text{cell}} = 0.77 - 1.09 = -0.32\text{ V} \) (not feasible). Thus, \( \text{Fe}^{3+}(aq) \) can oxidize \( \text{I}^-(aq) \) but cannot oxidize \( \text{Br}^-(aq) \).

評分準則

1 mark for identifying that \( \text{Fe}^{3+} \) can oxidize \( \text{I}^- \) but not \( \text{Br}^- \).
題目 16 · 選擇題
1
Phenol reacts much more readily with bromine water than benzene does, requiring no catalyst and producing a white precipitate of 2,4,6-tribromophenol at room temperature. What is the reason for this increased reactivity of phenol?
  1. A.The lone pair of electrons on the oxygen atom of the -OH group is partially delocalized into the ring, increasing the electron density of the ring.
  2. B.The highly electronegative oxygen atom of the -OH group withdraws electron density, polarizing the ring.
  3. C.Phenol is polar and thus dissolves the bromine molecules more effectively than non-polar benzene.
  4. D.The O-H bond in phenol readily undergoes homolytic fission to produce highly reactive phenyl radicals.
查看答案詳解

解題

The lone pair of electrons in a p-orbital on the oxygen atom of the hydroxyl (-OH) group is partially delocalized into the benzene ring's pi-system. This increases the electron density of the ring, making it much more effective at polarizing and attracting electrophiles like bromine without needing a halogen carrier catalyst.

評分準則

1 mark for identifying that the oxygen lone pair delocalizes into the ring, increasing its electron density.
題目 17 · 選擇題
1
A standard electrochemical cell is set up using the following two half-cells: \(\text{MnO}_4^-(aq) + 8\text{H}^+(aq) + 5e^- \rightleftharpoons \text{Mn}^{2+}(aq) + 4\text{H}_2\text{O}(l)\) with \(E^\theta = +1.51\text{ V}\) and \(\text{Cl}_2(g) + 2e^- \rightleftharpoons 2\text{Cl}^-(aq)\) with \(E^\theta = +1.36\text{ V}\). What is the standard cell potential, \(E^\theta_{\text{cell}}\), and the identity of the reducing agent in the thermodynamically feasible cell reaction?
  1. A.\(E^\theta_{\text{cell}} = +0.15\text{ V}\); reducing agent is \(\text{Cl}^-(aq)\)
  2. B.\(E^\theta_{\text{cell}} = +0.15\text{ V}\); reducing agent is \(\text{MnO}_4^-(aq)\)
  3. C.\(E^\theta_{\text{cell}} = +2.87\text{ V}\); reducing agent is \(\text{Cl}^-(aq)\)
  4. D.\(E^\theta_{\text{cell}} = +2.87\text{ V}\); reducing agent is \(\text{Mn}^{2+}(aq)\)
查看答案詳解

解題

To find the standard cell potential, subtract the electrode potential of the anode (oxidation) from the cathode (reduction): \(E^\theta_{\text{cell}} = E^\theta_{\text{reduction}} - E^\theta_{\text{oxidation}} = +1.51\text{ V} - (+1.36\text{ V}) = +0.15\text{ V}\). Since the \(\text{MnO}_4^- / \text{Mn}^{2+}\) half-cell has the more positive electrode potential, \(\text{MnO}_4^-\) is reduced (acting as the oxidizing agent), and \(\text{Cl}^-\) is oxidized to \(\text{Cl}_2\) (acting as the reducing agent).

評分準則

1 mark for correct selection of option A. Correctly calculated cell potential of +0.15 V and identified Cl-(aq) as the species that undergoes oxidation.
題目 18 · 選擇題
1
When concentrated hydrochloric acid is added to an aqueous solution containing hexaaquacobalt(II) ions, a ligand exchange reaction occurs. What is the shape and color of the cobalt complex formed in this reaction?
  1. A.Tetrahedral and blue
  2. B.Octahedral and blue
  3. C.Tetrahedral and pink
  4. D.Octahedral and pink
查看答案詳解

解題

The addition of concentrated hydrochloric acid to hexaaquacobalt(II) ions leads to the formation of the tetrachlorocobaltate(II) complex: \([\text{Co(H}_2\text{O)}_6]^{2+}(aq) + 4\text{Cl}^-(aq) \rightleftharpoons [\text{CoCl}_4]^{2-}(aq) + 6\text{H}_2\text{O}(l)\). Because the chloride ligands are large and charged, only four can coordinate around the central cobalt(II) ion, resulting in a tetrahedral geometry. This complex has a distinctive blue color.

評分準則

1 mark for selecting A. Correctly identified both the tetrahedral shape and the blue color of the tetrachlorocobaltate(II) ion.
題目 19 · 選擇題
1
Which compound reacts rapidly with bromine water at room temperature in the absence of a halogen carrier catalyst to form a white precipitate?
  1. A.Benzene
  2. B.Chlorobenzene
  3. C.Methylbenzene
  4. D.Phenol
查看答案詳解

解題

Phenol reacts rapidly with bromine water at room temperature without requiring a catalyst (like \(\text{FeBr}_3\)) to form a white precipitate of 2,4,6-tribromophenol. This high reactivity is due to the lone pair of electrons on the oxygen atom of the \(\text{-OH}\) group being partially delocalized into the aromatic \(\pi\)-system, which increases the electron density of the benzene ring and makes it highly susceptible to electrophilic attack.

評分準則

1 mark for selecting option D. Benzene, chlorobenzene, and methylbenzene do not react rapidly with bromine water without a catalyst and do not form a white precipitate.
題目 20 · 選擇題
1
What is the correct order of increasing basic strength (weakest base first) for ammonia, ethylamine, and phenylamine?
  1. A.phenylamine < ammonia < ethylamine
  2. B.ethylamine < ammonia < phenylamine
  3. C.ammonia < phenylamine < ethylamine
  4. D.phenylamine < ethylamine < ammonia
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解題

Basic strength depends on the availability of the lone pair of electrons on the nitrogen atom to accept a proton. In phenylamine, the lone pair is delocalized into the benzene \(\pi\)-system, making it the least available (weakest base). In ethylamine, the alkyl group has an electron-releasing (+I inductive) effect, which increases the electron density on the nitrogen, making its lone pair more available than in ammonia. Therefore, the order is: phenylamine < ammonia < ethylamine.

評分準則

1 mark for selecting option A. Identifying the correct order based on lone pair availability and inductive/delocalization effects.
題目 21 · Structured Short Answer & Calculation
14
This question is about redox chemistry and standard electrode potentials.

(a) State what is meant by the term standard electrode potential.

(b) Draw a labelled diagram of the apparatus used to measure the standard electrode potential of the \(\text{Fe}^{3+}(\text{aq}) / \text{Fe}^{2+}(\text{aq})\) half-cell relative to the standard hydrogen electrode. Include standard conditions in your labels.

(c) Use the following standard electrode potentials to answer the questions that follow:
\(\text{Fe}^{3+}(\text{aq}) + \text{e}^- \rightleftharpoons \text{Fe}^{2+}(\text{aq}) \quad E^\ominus = +0.77\text{ V}\)
\(\text{MnO}_4^-(\text{aq}) + 8\text{H}^+(\text{aq}) + 5\text{e}^- \rightleftharpoons \text{Mn}^{2+}(\text{aq}) + 4\text{H}_2\text{O}(\text{l}) \quad E^\ominus = +1.51\text{ V}\)

(i) Calculate the standard cell potential, \(E^\ominus_{\text{cell}}\), for the spontaneous reaction between iron(II) ions and acidified manganate(VII) ions.

(ii) Write the overall ionic equation for this reaction.

(d) A student analysed a \(1.45\text{ g}\) sample of iron wire by dissolving it in excess dilute sulfuric acid to convert all the iron to \(\text{Fe}^{2+}(\text{aq})\) ions. The resulting solution was made up to \(250\text{ cm}^3\) in a volumetric flask. A \(25.0\text{ cm}^3\) portion of this solution was pipetted into a conical flask and required \(24.25\text{ cm}^3\) of \(0.0200\text{ mol dm}^{-3}\) potassium manganate(VII) solution for complete reaction. Calculate the percentage by mass of iron in the wire, giving your answer to three significant figures. [\(A_{\text{r}}\text{ of Fe} = 55.8\)]
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解題

(a) Standard electrode potential is the electromotive force (emf) of a half-cell compared with a standard hydrogen electrode under standard conditions of \(298\text{ K}\), \(100\text{ kPa}\) gas pressure, and ion concentrations of \(1.00\text{ mol dm}^{-3}\).

(b) The diagram must show:
1. Standard hydrogen electrode containing a platinum electrode, hydrogen gas entering at \(100\text{ kPa}\), and \(1.00\text{ mol dm}^{-3}\ \text{H}^+(\text{aq})\) solution.
2. \(\text{Fe}^{3+}/\text{Fe}^{2+}\) half-cell containing a platinum electrode immersed in a solution containing both \(\text{Fe}^{3+}(\text{aq})\) and \(\text{Fe}^{2+}(\text{aq})\) ions, both at \(1.00\text{ mol dm}^{-3}\).
3. High-resistance voltmeter connecting the two platinum electrodes.
4. Salt bridge (e.g., filter paper soaked in saturated \(\text{KNO}_3\)) connecting the two solutions.

(c)(i) \(E^\ominus_{\text{cell}} = E^\ominus_{\text{reduction}} - E^\ominus_{\text{oxidation}} = +1.51 - (+0.77) = +0.74\text{ V}\).

(c)(ii) \(\text{MnO}_4^-(\text{aq}) + 5\text{Fe}^{2+}(\text{aq}) + 8\text{H}^+(\text{aq}) \rightarrow \text{Mn}^{2+}(\text{aq}) + 5\text{Fe}^{3+}(\text{aq}) + 4\text{H}_2\text{O}(\text{l})\).

(d) Moles of \(\text{MnO}_4^-\text{ used} = \frac{24.25}{1000} \times 0.0200 = 4.85 \times 10^{-4}\text{ mol}\).
Using the balanced equation, \(\text{moles of Fe}^{2+}\text{ in } 25.0\text{ cm}^3 = 5 \times 4.85 \times 10^{-4} = 2.425 \times 10^{-3}\text{ mol}\).
\(\text{Moles of Fe}^{2+}\text{ in } 250\text{ cm}^3 = 10 \times 2.425 \times 10^{-3} = 2.425 \times 10^{-2}\text{ mol}\).
\(\text{Mass of iron in wire} = 2.425 \times 10^{-2} \times 55.8 = 1.35315\text{ g}\).
\(\text{Percentage by mass of iron} = \left(\frac{1.35315}{1.45}\right) \times 100 = 93.32\% \approx 93.3\%\).

評分準則

(a) 1 mark for emf of a cell containing the half-cell of interest connected to a standard hydrogen electrode. 1 mark for specifying standard conditions: 298 K, 100 kPa / 1 atm pressure, and 1.00 mol dm^-3 concentration of ions.

(b) 1 mark for a standard hydrogen electrode (labeled Pt, H2 gas at 100 kPa / 1 atm, 1 mol dm^-3 H+(aq)). 1 mark for the Fe3+/Fe2+ half-cell (labeled Pt, containing both Fe2+ and Fe3+ at 1 mol dm^-3). 1 mark for high-resistance voltmeter connecting the circuit. 1 mark for a salt bridge connecting the solutions.

(c)(i) 1 mark for +0.74 V.

(c)(ii) 1 mark for correct species, 1 mark for correct balancing.

(d) 1 mark for calculating moles of MnO4- (4.85 x 10^-4 mol). 1 mark for multiplying by 5 to find moles of Fe2+ in 25.0 cm3 (2.425 x 10^-3 mol). 1 mark for multiplying by 10 to find total moles in 250 cm3 (2.425 x 10^-2 mol). 1 mark for calculating mass of iron (1.353 g). 1 mark for calculating percentage to 3 sig figs (93.3%).
題目 22 · Structured Short Answer & Calculation
14
This question is about benzene and its derivatives.

(a) Compare the thermodynamic stability of benzene with the hypothetical molecule cyclohexa-1,3,5-triene. Use the following enthalpy of hydrogenation data to support your answer:
- Cyclohexene: \(-120\text{ kJ mol}^{-1}\)
- Benzene: \(-208\text{ kJ mol}^{-1}\)
Explain the reason for the difference in stability. (4 marks)

(b) Methylbenzene can be converted into 4-nitromethylbenzene via electrophilic substitution.

(i) Write an equation for the reaction of concentrated nitric acid and concentrated sulfuric acid to generate the electrophile, \(\text{NO}_2^+\). (1 mark)

(ii) Outline the mechanism for the electrophilic substitution of methylbenzene at the 4-position by \(\text{NO}_2^+\). Use curly arrows to show the movement of electron pairs. (4 marks)

(c) Outline a multi-step synthesis to convert 4-nitrotoluene into 4-aminobenzoic acid. State the reagents and conditions for each step. (5 marks)
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解題

(a) Cyclohexene has one double bond and an enthalpy of hydrogenation of \(-120\text{ kJ mol}^{-1}\). If benzene were cyclohexa-1,3,5-triene (with three independent double bonds), the expected enthalpy of hydrogenation would be \(3 \times (-120) = -360\text{ kJ mol}^{-1}\). The experimental enthalpy of hydrogenation of benzene is \(-208\text{ kJ mol}^{-1}\), which is \(152\text{ kJ mol}^{-1}\) less exothermic than expected. This indicates that benzene is much more stable than cyclohexa-1,3,5-triene. This extra stability is due to the delocalisation of the \(\pi\)-electrons across the ring.

(b)(i) \(\text{HNO}_3 + 2\text{H}_2\text{SO}_4 \rightarrow \text{NO}_2^+ + \text{H}_3\text{O}^+ + 2\text{HSO}_4^-\) (or \(\text{HNO}_3 + \text{H}_2\text{SO}_4 \rightleftharpoons \text{NO}_2^+ + \text{HSO}_4^- + \text{H}_2\text{O}\)).

(b)(ii)
1. A curly arrow from the benzene ring of methylbenzene (at C-4) to the nitrogen atom of \(\text{NO}_2^+\).
2. Correct structure of the intermediate with a positive charge in the partially broken ring (horseshoe open towards C-4, covering 5 carbon atoms) and C-4 showing both H and \(\text{NO}_2\).
3. A curly arrow from the C-H bond on C-4 back into the ring to restore aromaticity.
4. Correct products: 4-nitromethylbenzene and \(\text{H}^+\).

(c)
Step 1: Oxidation of the methyl group to a carboxylic acid group.
- Reagents: Acidified potassium dichromate(VI) or alkaline potassium manganate(VII) followed by acid.
- Conditions: Heat under reflux.
Step 2: Reduction of the nitro group to an amine group.
- Reagents: Tin (Sn) and concentrated hydrochloric acid.
- Conditions: Heat under reflux, followed by the addition of aqueous sodium hydroxide to free the amine.

評分準則

(a) 1 mark for calculating expected enthalpy of -360 kJ mol^-1. 1 mark for stating benzene is 152 kJ mol^-1 more stable (less exothermic). 1 mark for attributing this stability to delocalisation of pi electrons. 1 mark for referencing the relative values clearly.

(b)(i) 1 mark for correct equation showing electrophile generation.

(b)(ii) 1 mark for curly arrow from ring to NO2+ (attacking C-4). 1 mark for correct intermediate with positive charge inside horseshoe. 1 mark for curly arrow from C-H bond into ring. 1 mark for correct final products.

(c) 1 mark for oxidising agent (e.g., K2Cr2O7/H+ or KMnO4). 1 mark for reflux condition. 1 mark for Sn and conc. HCl. 1 mark for heating/refluxing. 1 mark for adding NaOH(aq) to release the free amine.
題目 23 · Structured Short Answer & Calculation
14
This question is about transition metal complexes, their colours, and coordination chemistry.

(a) Hydrated transition metal complexes are often highly coloured, but solutions of zinc salts are colourless. Explain how colour arises in transition metal complexes, and why zinc complexes, such as \([\text{Zn}(\text{H}_2\text{O})_6]^{2+}\), are colourless. (5 marks)

(b) When excess concentrated hydrochloric acid is added to an aqueous solution containing hexaaquacopper(II) ions, \([\text{Cu}(\text{H}_2\text{O})_6]^{2+}\), a yellow-green solution containing tetrachlorocuprate(II) ions, \([\text{CuCl}_4]^{2-}\), is formed.

(i) Write an ionic equation for this ligand substitution reaction. (2 marks)

(ii) Describe the change in shape of the copper complex, and explain why the coordination number changes. (3 marks)

(c) The concentration of copper(II) ions in a solution can be determined using a colorimeter. A calibration curve of absorbance against concentration has the equation:
\(\text{Absorbance} = 15.6 \times [\text{Cu}^{2+}(\text{aq})] + 0.015\)
An unknown sample of copper(II) sulfate solution gave an absorbance of \(0.420\). Calculate the mass of hydrated copper(II) sulfate, \(\text{CuSO}_4 \cdot 5\text{H}_2\text{O}\), required to prepare \(250\text{ cm}^3\) of this unknown solution. [Molar mass of \(\text{CuSO}_4 \cdot 5\text{H}_2\text{O} = 249.6\text{ g mol}^{-1}\)] (4 marks)
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解題

(a) Transition metals have partially filled d-orbitals. When ligands approach, the d-orbitals split into two sets of different energy levels. Electrons absorb a specific frequency of visible light and are promoted from the lower energy d-orbital to the higher energy d-orbital (d-d transition). The colour observed is the complementary colour to the absorbed light. Zinc ions (\(\text{Zn}^{2+}\)) have a completely full d-subshell (\(3\text{d}^{10}\)), so there are no empty d-orbitals available for promotion, hence no d-d transition can occur, and zinc complexes are colourless.

(b)(i) \([\text{Cu}(\text{H}_2\text{O})_6]^{2+}(\text{aq}) + 4\text{Cl}^-(\text{aq}) \rightleftharpoons [\text{CuCl}_4]^{2-}(\text{aq}) + 6\text{H}_2\text{O}(\text{l})\).

(b)(ii) The shape changes from octahedral (coordination number 6) to tetrahedral (coordination number 4). The coordination number decreases because chloride ligands are larger than water ligands, so fewer chloride ligands can fit around the central copper(II) ion due to steric hindrance and increased electrostatic repulsion.

(c) Use the calibration equation:
\(0.420 = 15.6 \times [\text{Cu}^{2+}(\text{aq})] + 0.015\)
\(15.6 \times [\text{Cu}^{2+}(\text{aq})] = 0.405\)
\([\text{Cu}^{2+}(\text{aq})] = \frac{0.405}{15.6} = 0.02596\text{ mol dm}^{-3}\)
\(\text{Moles of Cu}^{2+}\text{ in } 250\text{ cm}^3 = 0.02596 \times 0.250 = 6.490 \times 10^{-3}\text{ mol}\).
Since \(1\text{ mol of CuSO}_4 \cdot 5\text{H}_2\text{O}\) yields \(1\text{ mol of Cu}^{2+}\):
\(\text{Mass of CuSO}_4 \cdot 5\text{H}_2\text{O} = 6.490 \times 10^{-3} \times 249.6 = 1.62\text{ g}\) (to 3 significant figures).

評分準則

(a) 1 mark for d-orbitals splitting. 1 mark for electron promotion from lower to higher d-orbitals (d-d transition). 1 mark for absorption of visible light. 1 mark for observed colour being complementary. 1 mark for zinc having full d-subshell (3d^10) preventing promotion.

(b)(i) 1 mark for correct species. 1 mark for correct balancing.

(b)(ii) 1 mark for octahedral to tetrahedral. 1 mark for noting chloride ligand is larger than water. 1 mark for steric hindrance / repulsion limiting coordination to 4.

(c) 1 mark for finding concentration of Cu2+ (0.02596 mol dm^-3). 1 mark for finding moles in 250 cm3 (6.490 x 10^-3 mol). 1 mark for multiplying by molar mass of 249.6. 1 mark for final answer of 1.62 g.
題目 24 · Structured Short Answer & Calculation
14
This question is about organic nitrogen compounds.

(a) Explain why ethylamine is a stronger base than phenylamine. (4 marks)

(b) Phenylamine can be prepared from nitrobenzene.

(i) State the reagents and conditions required for this reduction. (2 marks)

(ii) Write an equation for this reaction using \([\text{H}]\) to represent the reducing agent. (1 mark)

(c) Alanine, \(\text{CH}_3\text{CH}(\text{NH}_2)\text{COOH}\), is an amino acid.

(i) Explain what is meant by the term zwitterion. (2 marks)

(ii) Draw the structure of the zwitterion of alanine. (1 mark)

(iii) Draw the structures of the organic species formed when alanine reacts with excess dilute hydrochloric acid, and with excess aqueous sodium hydroxide. (2 marks)

(iv) Alanine can react with glycine, \(\text{NH}_2\text{CH}_2\text{COOH}\), to form two different dipeptides. Draw the structures of both dipeptides, clearly showing the peptide link. (2 marks)
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解題

(a) A base is a proton acceptor; its strength depends on the availability of the lone pair of electrons on the nitrogen atom. In phenylamine, the lone pair of electrons on the nitrogen atom is delocalised into the \(\pi\)-system of the benzene ring. This reduces the electron density on the nitrogen, making the lone pair less available to accept a proton. In ethylamine, the alkyl (ethyl) group is electron-releasing (+I inductive effect), which increases the electron density on the nitrogen atom, making its lone pair more available to accept a proton.

(b)(i) Reagents: Tin (Sn) and concentrated hydrochloric acid (HCl), followed by the addition of aqueous sodium hydroxide.
Conditions: Heat under reflux.

(b)(ii) \(\text{C}_6\text{H}_5\text{NO}_2 + 6[\text{H}] \rightarrow \text{C}_6\text{H}_5\text{NH}_2 + 2\text{H}_2\text{O}\).

(c)(i) A zwitterion is an overall neutral molecule containing both positively charged and negatively charged functional groups.

(c)(ii) The structure of the zwitterion of alanine is \(\text{CH}_3\text{CH}(\text{NH}_3^+)\text{COO}^-\).

(c)(iii)
In excess acid: \(\text{CH}_3\text{CH}(\text{NH}_3^+)\text{COOH}\).
In excess alkali: \(\text{CH}_3\text{CH}(\text{NH}_2)\text{COO}^-\).

(c)(iv)
First dipeptide (Ala-Gly): \(\text{H}_2\text{N-CH}(\text{CH}_3)\text{-CONH-CH}_2\text{-COOH}\).
Second dipeptide (Gly-Ala): \(\text{H}_2\text{N-CH}_2\text{-CONH-CH}(\text{CH}_3)\text{-COOH}\).

評分準則

(a) 1 mark for comparing nitrogen lone pair availability to accept a proton. 1 mark for delocalisation of nitrogen lone pair in phenylamine. 1 mark for ethyl group having +I inductive effect. 1 mark for resulting higher base strength of ethylamine.

(b)(i) 1 mark for Sn and concentrated HCl (reflux). 1 mark for adding NaOH.

(b)(ii) 1 mark for balanced equation with 6[H].

(c)(i) 1 mark for dipolar species / positive and negative charge. 1 mark for net neutral overall charge.

(c)(ii) 1 mark for structure with correct charge positions.

(c)(iii) 1 mark for fully protonated cation in acid. 1 mark for fully deprotonated anion in base.

(c)(iv) 1 mark for each correct dipeptide structure showing the -CONH- link clearly.
題目 25 · Structured Short Answer & Calculation
14
This question is about nickel complexes and gravimetric analysis.

(a) Hydrated nickel(II) chloride has the formula \(\text{NiCl}_2 \cdot x\text{H}_2\text{O}\). A student dissolved \(2.38\text{ g}\) of this salt in water and added an excess of silver nitrate solution, \(\text{AgNO}_3(\text{aq})\). A precipitate of silver chloride, \(\text{AgCl}\), was formed. This precipitate was filtered, washed, and dried. The mass of the dry precipitate was \(2.87\text{ g}\).
Determine the value of \(x\). [\(A_{\text{r}}\): \(\text{Ni} = 58.7\), \(\text{Cl} = 35.5\), \(\text{Ag} = 107.9\), \(\text{H} = 1.0\), \(\text{O} = 16.0\)] (5 marks)

(b) Nickel forms a complex ion with the bidentate ligand ethane-1,2-diamine, \(\text{H}_2\text{NCH}_2\text{CH}_2\text{NH}_2\) (abbreviated as 'en'), with the formula \([\text{Ni}(\text{en})_3]^{2+}\).

(i) Explain what is meant by a bidentate ligand. (2 marks)

(ii) State the coordination number of nickel in \([\text{Ni}(\text{en})_3]^{2+}\) and explain why this complex ion exhibits stereoisomerism. Draw the structures of the stereoisomers. (4 marks)

(c) Write ionic equations, including state symbols, for:

(i) The reaction of aqueous nickel(II) ions with aqueous sodium hydroxide. (1 mark)

(ii) The reaction of the precipitate formed in (c)(i) with excess concentrated aqueous ammonia. (2 marks)
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解題

(a)
\(\text{Molar mass of AgCl} = 107.9 + 35.5 = 143.4\text{ g mol}^{-1}\).
\(\text{Moles of AgCl} = \frac{2.87}{143.4} = 0.02001\text{ mol}\).
Since \(1\text{ mol of NiCl}_2 \cdot x\text{H}_2\text{O}\) contains \(2\text{ moles of Cl}^-\):
\(\text{Moles of NiCl}_2 \cdot x\text{H}_2\text{O} = \frac{0.02001}{2} = 0.01000\text{ mol}\).
\(\text{Molar mass of NiCl}_2 \cdot x\text{H}_2\text{O} = \frac{2.38}{0.01000} = 238\text{ g mol}^{-1}\).
\(\text{Molar mass of anhydrous NiCl}_2 = 58.7 + 2(35.5) = 129.7\text{ g mol}^{-1}\).
\(\text{Mass of } x\text{H}_2\text{O} = 238 - 129.7 = 108.3\text{ g mol}^{-1}\).
\(x = \frac{108.3}{18.0} = 6.02 \approx 6\).

(b)(i) A bidentate ligand is a molecule or ion that donates two lone pairs of electrons to a central metal ion to form two dative covalent bonds.

(b)(ii) The coordination number of nickel is 6. This complex ion exhibits optical isomerism (enantiomerism) because it has non-superimposable mirror images. The structures of the two optical isomers should show three 'en' rings forming bidentate loops around an octahedral nickel center.

(c)(i) \(\text{Ni}^{2+}(\text{aq}) + 2\text{OH}^-(\text{aq}) \rightarrow \text{Ni}(\text{OH})_2(\text{s})\).

(c)(ii) \(\text{Ni}(\text{OH})_2(\text{s}) + 6\text{NH}_3(\text{aq}) \rightarrow [\text{Ni}(\text{NH}_3)_6]^{2+}(\text{aq}) + 2\text{OH}^-(\text{aq})\).

評分準則

(a) 1 mark for molar mass of AgCl and calculating moles of AgCl (0.0200 mol). 1 mark for dividing by 2 to find moles of hydrated nickel salt (0.0100 mol). 1 mark for finding total molar mass (238 g mol^-1). 1 mark for subtracting molar mass of anhydrous NiCl2 (129.7 g mol^-1) to find mass of water (108.3 g mol^-1). 1 mark for dividing by 18 to find x = 6.

(b)(i) 1 mark for donating two lone pairs. 1 mark for forming two dative covalent bonds to the same metal ion.

(b)(ii) 1 mark for coordination number 6. 1 mark for stating it exhibits optical isomerism / non-superimposable mirror images. 2 marks for drawing the correct mirror images (octahedral layout with 3 bidentate loops).

(c)(i) 1 mark for correct balanced equation with state symbols.

(c)(ii) 1 mark for correct reactants and products (forming hexamminenickel(II) complex). 1 mark for correct balancing.

部分 WCH16/01 (Unit 6)

Answer all questions. Show all working in calculations.
5 題目 · 50
題目 1 · Structured Practical Questions
10
A student is given three unlabeled bottles containing liquids X, Y, and Z. Each bottle contains one of the following compounds: propan-2-ol, propanone, or propanoic acid. (a)(i) Describe the observation when a spatula measure of solid sodium hydrogencarbonate is added to a sample of propanoic acid. (1 mark) (a)(ii) Write the ionic equation, including state symbols, for the reaction between propanoic acid and hydrogencarbonate ions. (2 marks) (b)(i) State the observation when a sample of propanone is reacted with 2,4-dinitrophenylhydrazine (2,4-DNPH) reagent. (1 mark) (b)(ii) Explain how the student can use the precipitate formed to confirm that the compound is indeed propanone, without using spectroscopy. (2 marks) (c) Describe a chemical test (reagent and observation) that can be used to distinguish propan-2-ol from the other two liquids. (2 marks) (d)(i) A fourth compound, W, has the molecular formula \(\text{C}_3\text{H}_6\text{O}\). It does not react with Tollens' reagent but forms a yellow precipitate with iodine in aqueous sodium hydroxide. Identify W by name. (1 mark) (d)(ii) Write the chemical formula of the yellow precipitate formed. (1 mark)
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解題

In (a)(i), propanoic acid reacts with sodium hydrogencarbonate to produce carbon dioxide gas, observed as effervescence. In (a)(ii), the ionic equation is \(\text{CH}_3\text{CH}_2\text{COOH(aq)} + \text{HCO}_3^-\text{(aq)} \rightarrow \text{CH}_3\text{CH}_2\text{COO}^-\text{(aq)} + \text{CO}_2\text{(g)} + \text{H}_2\text{O(l)}\). In (b)(i), 2,4-DNPH reacts with propanone to form an orange precipitate. In (b)(ii), the precipitate can be filtered, recrystallized, its melting temperature determined, and compared to literature values. In (c), propan-2-ol can be oxidized by warming with acidified potassium dichromate(VI), which turns from orange to green. In (d)(i), W is propanone. In (d)(ii), the yellow precipitate is triiodomethane, \(\text{CHI}_3\).

評分準則

(a)(i) Effervescence / fizzing / bubbles of gas (1 mark). (a)(ii) \(\text{CH}_3\text{CH}_2\text{COOH(aq)} + \text{HCO}_3^-\text{(aq)} \rightarrow \text{CH}_3\text{CH}_2\text{COO}^-\text{(aq)} + \text{CO}_2\text{(g)} + \text{H}_2\text{O(l)}\) (2 marks: 1 mark for correct species, 1 mark for state symbols). (b)(i) Orange/yellow/red precipitate/solid (1 mark). (b)(ii) Recrystallize/purify the solid (1 mark) and measure its melting point/temperature and compare with literature values (1 mark). (c) Acidified potassium dichromate(VI) (1 mark) and orange to green observation (1 mark). (d)(i) Propanone (1 mark). (d)(ii) \(\text{CHI}_3\) (1 mark).
題目 2 · Structured Practical Questions
10
An experiment is carried out to determine the water of crystallization in hydrated ammonium iron(II) sulfate, \((\text{NH}_4)_2\text{Fe}(\text{SO}_4)_2 \cdot x\text{H}_2\text{O}\). A student dissolves \(7.84\text{ g}\) of the hydrated salt in dilute sulfuric acid and makes the solution up to \(250.0\text{ cm}^3\) in a volumetric flask. A \(25.00\text{ cm}^3\) portion of this solution is pipetted into a conical flask and titrated with \(0.0200\text{ mol dm}^{-3}\) potassium manganate(VII) solution. The mean titre is \(20.00\text{ cm}^3\). (a) State the color change at the end-point of this titration. (1 mark) (b) Explain why dilute sulfuric acid is used to dissolve the salt and acidify the titration mixture rather than hydrochloric acid. (2 marks) (c) Write the ionic equation for the oxidation of \(\text{Fe}^{2+}\) ions by acidified \(\text{MnO}_4^-\) ions. (2 marks) (d) Calculate the value of \(x\) in the formula \((\text{NH}_4)_2\text{Fe}(\text{SO}_4)_2 \cdot x\text{H}_2\text{O}\). Show your working. [Molar masses in \(\text{g mol}^{-1}\): \(\text{N} = 14.0, \text{H} = 1.0, \text{Fe} = 55.8, \text{S} = 32.1, \text{O} = 16.0\)] (5 marks)
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解題

In (a), the titration endpoint is colorless to permanent pale pink. In (b), sulfuric acid is used because hydrochloric acid contains chloride ions which would be oxidized to chlorine by manganate(VII). In (c), \(\text{MnO}_4^- + 5\text{Fe}^{2+} + 8\text{H}^+ \rightarrow \text{Mn}^{2+} + 5\text{Fe}^{3+} + 4\text{H}_2\text{O}\). In (d), moles of \(\text{MnO}_4^-\) = \(0.0200 \times (20.00 / 1000) = 4.00 \times 10^{-4}\text{ mol}\). Moles of \(\text{Fe}^{2+}\) in \(25.00\text{ cm}^3\) = \(5 \times 4.00 \times 10^{-4} = 2.00 \times 10^{-3}\text{ mol}\). Moles of \(\text{Fe}^{2+}\) in \(250.0\text{ cm}^3\) = \(2.00 \times 10^{-2}\text{ mol}\). Molar mass of the hydrated salt = \(7.84 / (2.00 \times 10^{-2}) = 392\text{ g mol}^{-1}\). Molar mass of anhydrous \((\text{NH}_4)_2\text{Fe}(\text{SO}_4)_2 = 284\text{ g mol}^{-1}\). Mass of water = \(392 - 284 = 108\text{ g mol}^{-1}\). \(x = 108 / 18 = 6\).

評分準則

(a) Colorless to permanent pale pink (1 mark). (b) Chloride ions from HCl would be oxidized to chlorine gas (1 mark) by the manganate(VII) ions, giving an inaccurately high titre (1 mark). (c) \(\text{MnO}_4^- + 5\text{Fe}^{2+} + 8\text{H}^+ \rightarrow \text{Mn}^{2+} + 5\text{Fe}^{3+} + 4\text{H}_2\text{O}\) (2 marks, 1 mark for reactants and products, 1 mark for balancing). (d) Moles of \(\text{MnO}_4^-\) = \(4.00 \times 10^{-4}\text{ mol}\) (1 mark). Moles of \(\text{Fe}^{2+}\) in \(250.0\text{ cm}^3\) = \(2.00 \times 10^{-2}\text{ mol}\) (1 mark). Molar mass of hydrated salt = \(392\text{ g mol}^{-1}\) (1 mark). Molar mass of anhydrous salt = \(284.0\text{ g mol}^{-1}\) (1 mark). Calculation of \(x = 6\) (1 mark).
題目 3 · Structured Practical Questions
10
Cyclohexene (b.p. \(83^\circ\text{C}\)) is prepared by the dehydration of cyclohexanol (b.p. \(161^\circ\text{C}\)) using concentrated phosphoric(V) acid. A student places \(10.0\text{ g}\) of cyclohexanol in a flask, adds catalyst, and distils the mixture. (a) Explain why a fractionating column is used during this initial distillation rather than simple distillation. (2 marks) (b)(i) Describe how the student can separate the aqueous layer from the organic layer in the distillate. (2 marks) (b)(ii) State which layer will be on top, and why. [Densities: cyclohexene = \(0.81\text{ g cm}^{-3}\), water = \(1.00\text{ g cm}^{-3}\)] (1 mark) (c)(i) Name a suitable anhydrous salt that can be used as a drying agent for the organic liquid. (1 mark) (c)(ii) State the visual change in the liquid that indicates it is dry. (1 mark) (d) The mass of pure cyclohexene obtained is \(5.10\text{ g}\). Calculate the percentage yield of cyclohexene. [\(M_r\) of cyclohexanol = \(100.2\); \(M_r\) of cyclohexene = \(82.1\)] (3 marks)
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解題

In (a), cyclohexanol and cyclohexene can both vaporize; the fractionating column allows cyclohexanol (higher b.p.) to condense and return to the flask, while cyclohexene (lower b.p.) passes to the condenser. In (b)(i), transfer the mixture to a separating funnel, allow layers to separate, and run off the lower layer. In (b)(ii), cyclohexene is on top because its density is lower than water. In (c)(i), anhydrous calcium chloride or magnesium sulfate can be used. In (c)(ii), the liquid turns from cloudy to clear. In (d), moles of cyclohexanol = \(10.0 / 100.2 = 0.0998\text{ mol}\). Theoretical mass of cyclohexene = \(0.0998 \times 82.1 = 8.19\text{ g}\). Percentage yield = \((5.10 / 8.19) \times 100\% = 62.3\%\).

評分準則

(a) Cyclohexanol and cyclohexene both vaporize (1 mark); the column allows cyclohexanol to condense and return to the flask while cyclohexene passes into the condenser (1 mark). (b)(i) Use a separating funnel (1 mark) and run off the lower layer / decant upper layer (1 mark). (b)(ii) Cyclohexene on top because it has a lower density than water (1 mark). (c)(i) Anhydrous calcium chloride / anhydrous sodium sulfate / anhydrous magnesium sulfate (1 mark). (c)(ii) Liquid turns from cloudy to clear (1 mark). (d) Moles of cyclohexanol = \(0.0998\text{ mol}\) (1 mark). Theoretical mass of cyclohexene = \(8.19\text{ g}\) (1 mark). Percentage yield = \(62.3\%\) (or \(62\%\)) (1 mark).
題目 4 · Structured Practical Questions
10
A student is provided with a green crystalline solid, A, which is a hydrated double salt containing two different cations and one anion. (a)(i) Addition of dilute sodium hydroxide solution dropwise to a solution of A yields a green precipitate that is insoluble in excess. Identify the cation responsible. (1 mark) (a)(ii) On standing in air, the green precipitate on the surface turns brown. Explain this observation. (1 mark) (b)(i) Warmed with aqueous sodium hydroxide, solution A evolves a gas that turns damp red litmus paper blue. Identify this gas. (1 mark) (b)(ii) State the formula of the second cation present in solid A. (1 mark) (c)(i) Solution A forms a white precipitate when treated with dilute hydrochloric acid followed by barium chloride solution. Identify the anion present. (1 mark) (c)(ii) Write an ionic equation, including state symbols, for this precipitation reaction. (2 marks) (d)(i) Describe the observation when excess sodium hydroxide solution is added to a solution of chromium(III) chloride. (1 mark) (d)(ii) Write the formula of the chromium-containing complex ion present in the final mixture. (2 marks)
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解題

In (a)(i), the green precipitate insoluble in excess NaOH indicates the presence of \(\text{Fe}^{2+}\) ions. In (a)(ii), the green iron(II) hydroxide is oxidized by oxygen in the air to brown iron(III) hydroxide. In (b)(i), the gas is ammonia, \(\text{NH}_3\). In (b)(ii), the second cation is ammonium, \(\text{NH}_4^+\). In (c)(i), the anion is sulfate, \(\text{SO}_4^{2-}\). In (c)(ii), \(\text{Ba}^{2+}\text{(aq)} + \text{SO}_4^{2-}\text{(aq)} \rightarrow \text{BaSO}_4\text{(s)}\). In (d)(i), a green precipitate forms and then dissolves to give a dark green solution. In (d)(ii), the species is \([\text{Cr(OH)}_6]^{3-}\).

評分準則

(a)(i) Iron(II) / \(\text{Fe}^{2+}\) (1 mark). (a)(ii) Iron(II) hydroxide is oxidized by atmospheric oxygen to iron(III) hydroxide (1 mark). (b)(i) Ammonia / \(\text{NH}_3\) (1 mark). (b)(ii) \(\text{NH}_4^+\) (1 mark). (c)(i) Sulfate / \(\text{SO}_4^{2-}\) (1 mark). (c)(ii) \(\text{Ba}^{2+}\text{(aq)} + \text{SO}_4^{2-}\text{(aq)} \rightarrow \text{BaSO}_4\text{(s)}\) (2 marks: 1 mark for species, 1 mark for state symbols). (d)(i) Green precipitate dissolves to form a green solution (1 mark). (d)(ii) \([\text{Cr(OH)}_6]^{3-}\) (or \([\text{Cr(H}_2\text{O)}_2\text{(OH)}_4]^-\)) (2 marks: 1 mark for correct formula, 1 mark for charge).
題目 5 · Structured Practical Questions
10
A student determines the enthalpy change of neutralization by mixing \(50.0\text{ cm}^3\) of \(2.00\text{ mol dm}^{-3}\) hydrochloric acid and \(50.0\text{ cm}^3\) of \(2.05\text{ mol dm}^{-3}\) sodium hydroxide solution. The initial temperature is recorded, the reagents are mixed at minute 4, and subsequent temperatures are plotted against time. Extrapolation of the cooling curve to minute 4 gives a theoretical temperature rise of \(\Delta T = 13.5^\circ\text{C}\). (a) Explain why the student extrapolates the cooling curve back to the fourth minute, rather than just using the highest recorded temperature. (2 marks) (b) Suggest why the concentration of the sodium hydroxide solution used is slightly higher than that of the hydrochloric acid. (1 mark) (c) Calculate the heat energy released, in joules, during this reaction. [Assume the density of the mixture is \(1.00\text{ g cm}^{-3}\) and specific heat capacity is \(4.18\text{ J g}^{-1}\text{ }^\circ\text{C}^{-1}\)] (2 marks) (d) Calculate the enthalpy change of neutralization, \(\Delta_n H\), in \(\text{kJ mol}^{-1}\), for this reaction. Show your working and include a sign with your answer. (4 marks) (e) State one source of uncertainty in this experiment, other than heat loss to the surroundings. (1 mark)
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解題

In (a), extrapolation accounts for heat loss to the surroundings during mixing and ensures the theoretical maximum temperature rise if the reaction had occurred instantaneously is determined. In (b), excess sodium hydroxide ensures that all of the hydrochloric acid is fully neutralized. In (c), mass of solution = \(100.0\text{ g}\). Heat energy \(q = 100.0 \times 4.18 \times 13.5 = 5643\text{ J}\). In (d), moles of \(\text{HCl}\) = \(2.00 \times 0.0500 = 0.100\text{ mol}\). Moles of \(\text{NaOH}\) = \(2.05 \times 0.0500 = 0.1025\text{ mol}\). \(\text{HCl}\) is the limiting reactant, so moles of water formed = \(0.100\text{ mol}\). \(\Delta_n H = - (5.643\text{ kJ}) / 0.100\text{ mol} = -56.4\text{ kJ mol}^{-1}\). In (e), other sources of uncertainty include temperature measurements with the thermometer or measuring solution volumes with a measuring cylinder.

評分準則

(a) To account for heat loss to the surroundings (1 mark) and find the temperature change if the reaction had been instantaneous (1 mark). (b) To ensure all hydrochloric acid is fully neutralized / acid is the limiting reagent (1 mark). (c) Mass of solution = \(100.0\text{ g}\) (1 mark). \(q = 100.0 \times 4.18 \times 13.5 = 5643\text{ J}\) (accept \(5640\text{ J}\)) (1 mark). (d) Moles of \(\text{HCl}\) reacting = \(0.100\text{ mol}\) (1 mark). Division of heat (in kJ) by moles (1 mark). Negative sign (1 mark). Enthalpy value of \(-56.4\text{ kJ mol}^{-1}\) (1 mark). (e) Uncertainty in volume from measuring cylinder / uncertainty in temperature from thermometer / assumption that the specific heat capacity is that of pure water (1 mark).

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