OCR GCSE · Thinka 原創模擬試題

2023 OCR GCSE Gateway Science - Chemistry A - J248 模擬試題連答案詳解

Thinka Jun 2023 Cambridge OCR GCSE-Style Mock — Gateway Science - Chemistry A - J248

180 210 分鐘2023
An original Thinka practice paper modelled on the structure and difficulty of the Jun 2023 Cambridge OCR GCSE Gateway Science - Chemistry A - J248 paper. Not affiliated with or reproduced from Cambridge.

甲部

Answer all questions. Spend a maximum of 30 minutes per paper on this section.
23 題目 · 23
題目 1 · MCQ
1
Which set of conditions is required for the fermentation of glucose to produce ethanol?
  1. A.Yeast catalyst, temperature of about \(37^\circ\text{C}\), anaerobic conditions.
  2. B.Acid catalyst, temperature of about \(300^\circ\text{C}\), high pressure.
  3. C.Yeast catalyst, temperature of about \(100^\circ\text{C}\), aerobic conditions.
  4. D.Nickel catalyst, temperature of about \(60^\circ\text{C}\), high pressureRef: J248 syllabus Organic chemistry chapter details and conditions required for the fermentation process of sugar solutions using yeast to produce ethanol with optimum conditions of 37 degrees Celsius and anaerobic environment (absence of oxygen). This ensures optimum activity of enzymes in yeast and prevents oxidation of the product to ethanoic acid. Other choices represent hydration of ethene which uses steam and phosphoric acid catalyst at high temperatures and pressures, or general hydrogenation of oils with a nickel catalyst at lower temperatures which do not match fermentation of glucose to ethanol.
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解題

Fermentation of glucose uses enzymes in yeast as a biological catalyst. The optimum temperature for yeast enzymes is around \(37^\circ\text{C}\). The process must be anaerobic (without oxygen) to prevent the ethanol from being oxidised into ethanoic acid.

評分準則

1 mark: A - Correct set of fermentation conditions. Reject all other options.
題目 2 · 選擇題
1
An organic compound has the empirical formula \(CH_2O\) and a relative molecular mass (\(M_r\)) of 60.0. What is the molecular formula of this compound?
  1. A.\(CH_2O\)
  2. B.\(C_2H_4O_2\)
  3. C.\(C_3H_6O_3\)
  4. D.\(C_4H_8O_4\)
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解題

The empirical formula mass of \(CH_2O\) is calculated as: \(12.0 + (2 \times 1.0) + 16.0 = 30.0\). The relative molecular mass of the compound is 60.0. To find the molecular formula multiplier, divide the molecular mass by the empirical formula mass: \(60.0 / 30.0 = 2\). Therefore, we multiply the number of atoms in the empirical formula by 2, which gives \(C_2H_4O_2\).

評分準則

1 mark for the correct option B. Reject all other options.
題目 3 · 選擇題
1
Under certain conditions, 5.60 g of iron reacts completely with sulfur to produce 8.80 g of iron(II) sulfide, \(FeS\). What mass of sulfur reacted with the iron?
  1. A.3.20 g
  2. B.5.60 g
  3. C.8.80 g
  4. D.14.40 g
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解題

According to the law of conservation of mass, the total mass of the reactants must equal the total mass of the products. Therefore: \(\text{Mass of iron} + \text{Mass of sulfur} = \text{Mass of iron(II) sulfide}\). Substituting the given values: \(5.60\text{ g} + \text{Mass of sulfur} = 8.80\text{ g}\). This gives: \Ref{Mass of sulfur} = 8.80\text{ g} - 5.60\text{ g} = 3.20\text{ g}\).

評分準則

1 mark for the correct option A. Reject all other options.
題目 4 · 選擇題
1
Aqueous copper(II) sulfate is electrolysed using inert carbon electrodes. What are the products formed at the anode and cathode?
  1. A.Anode: hydrogen; Cathode: copper
  2. B.Anode: oxygen; Cathode: copper
  3. C.Anode: copper; Cathode: oxygen
  4. D.Anode: oxygen; Cathode: hydrogen
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解題

In the electrolysis of aqueous copper(II) sulfate, the ions present are \(Cu^{2+}\), \(H^+\), \(SO_4^{2-}\), and \(OH^-\). At the cathode, copper ions are discharged in preference to hydrogen ions because copper is less reactive than hydrogen, forming copper metal. At the anode, hydroxide ions are discharged in preference to sulfate ions, forming oxygen gas and water. Therefore, the products are oxygen at the anode and copper at the cathode.

評分準則

1 mark for the correct option B. Reject all other options.
題目 5 · 選擇題
1
A student wants to separate a mixture of two miscible liquids, liquid X (boiling point \(78^\circ\text{C}\)) and liquid Y (boiling point \(100^\circ\text{C}\)). Which separation technique is most suitable to obtain a pure sample of liquid X?
  1. A.Filtration
  2. B.Simple distillation
  3. C.Fractional distillation
  4. D.Crystallisation
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解題

Fractional distillation is the most suitable technique for separating miscible liquids with relatively close boiling points. The fractionating column allows the vapors of the liquid with the lower boiling point (liquid X, \(78^\circ\text{C}\)) to rise and be condensed first, separating it from liquid Y.

評分準則

1 mark for the correct option C. Reject all other options.
題目 6 · 選擇題
1
Which of the following substances has a giant covalent structure and does NOT conduct electricity?
  1. A.Graphite
  2. B.Sodium chloride
  3. C.Silicon dioxide
  4. D.Copper
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解題

Silicon dioxide (silica) has a giant covalent structure where every silicon atom is covalently bonded to four oxygen atoms, with all valence electrons localized in bonds, meaning there are no free-moving electrons or ions to conduct electricity. Graphite is giant covalent but has delocalised electrons. Sodium chloride is ionic. Copper has metallic bonding.

評分準則

1 mark for the correct option C. Reject all other options.
題目 7 · 選擇題
1
When dilute hydrochloric acid is added to solid sodium carbonate, a gas is evolved. What is the chemical test to identify this gas and what is the positive result?
  1. A.Relights a glowing splint.
  2. B.Burns with a squeaky pop.
  3. C.Turns damp blue litmus paper red then bleaches it white.
  4. D.Turns limewater cloudy.
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解題

The reaction of an acid with a metal carbonate produces carbon dioxide gas, \(CO_2\). The chemical test for carbon dioxide is to bubble it through limewater (calcium hydroxide solution), which turns cloudy/milky due to the formation of a white precipitate of calcium carbonate.

評分準則

1 mark for the correct option D. Reject all other options.
題目 8 · 選擇題
1
An atom of an isotope of potassium has a mass number of 39 and an atomic number of 19. How many neutrons, protons, and electrons are in a neutral atom of this isotope?
  1. A.19 neutrons, 20 protons, 19 electrons
  2. B.20 neutrons, 19 protons, 19 electrons
  3. C.20 neutrons, 19 protons, 20 electrons
  4. D.39 neutrons, 19 protons, 19 electrons
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解題

The atomic number is the number of protons, which is 19. In a neutral atom, the number of electrons is equal to the number of protons, which is 19. The number of neutrons is found by subtracting the atomic number from the mass number: \(39 - 19 = 20\). Therefore, the atom has 20 neutrons, 19 protons, and 19 electrons.

評分準則

1 mark for the correct option B. Reject all other options.
題目 9 · 選擇題
1
The reaction between hydrogen and chlorine is represented by the equation: \(\text{H}_2\text{(g)} + \text{Cl}_2\text{(g)} \rightarrow 2\text{HCl(g)}\). The bond energies are: \(\text{H}-\text{H}\): \(436\text{ kJ/mol}\), \(\text{Cl}-\text{Cl}\): \(243\text{ kJ/mol}\), \(\text{H}-\text{Cl}\): \(432\text{ kJ/mol}\). What is the overall energy change for this reaction?
  1. A.\(-185\text{ kJ/mol}\)
  2. B.\(-247\text{ kJ/mol}\)
  3. C.\(+185\text{ kJ/mol}\)
  4. D.\(+679\text{ kJ/mol}\)
查看答案詳解

解題

First, calculate the energy required to break the bonds in the reactants: \(1 \times (\text{H}-\text{H}) + 1 \times (\text{Cl}-\text{Cl}) = 436 + 243 = 679\text{ kJ/mol}\). Second, calculate the energy released when new bonds are formed in the products: \(2 \times (\text{H}-\text{Cl}) = 2 \times 432 = 864\text{ kJ/mol}\). Finally, subtract the energy released from the energy required: \(\text{Overall energy change} = 679 - 864 = -185\text{ kJ/mol}\).

評分準則

1 mark for the correct option A. Reject all other options.
題目 10 · 選擇題
1
Ethyl ethanoate is an ester. Which pair of reactants is used to produce ethyl ethanoate in the presence of an acid catalyst?
  1. A.Ethanol and methanoic acid
  2. B.Methanol and ethanoic acid
  3. C.Ethanol and ethanoic acid
  4. D.Propanol and ethanoic acid
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解題

Ethyl ethanoate is formed by the condensation reaction between ethanol and ethanoic acid. Ethanol provides the ethyl group and ethanoic acid provides the ethanoate group.

評分準則

1 mark for identifying the correct reactants as ethanol and ethanoic acid.
題目 11 · 選擇題
1
Calcium carbonate decomposes on heating to produce calcium oxide and carbon dioxide according to the equation: \(\text{CaCO}_3(\text{s}) \rightarrow \text{CaO}(\text{s}) + \text{CO}_2(\text{g})\). What mass of calcium oxide is produced by the complete thermal decomposition of \(25.0\text{ g}\) of calcium carbonate? (Relative atomic masses: \(\text{C} = 12.0\), \(\text{O} = 16.0\), \(\text{Ca} = 40.1\))
  1. A.10.0 g
  2. B.14.0 g
  3. C.20.0 g
  4. D.25.0 g
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解題

First, calculate the relative formula mass of \(\text{CaCO}_3\): \(40.1 + 12.0 + (3 \times 16.0) = 100.1\text{ g/mol}\). Calculate the moles of \(\text{CaCO}_3\) used: \(25.0 / 100.1 = 0.250\text{ mol}\). According to the equation, the mole ratio of \(\text{CaCO}_3\) to \(\text{CaO}\) is 1:1, so \(0.250\text{ mol}\) of \(\text{CaO}\) is produced. Calculate the relative formula mass of \(\text{CaO}\): \(40.1 + 16.0 = 56.1\text{ g/mol}\). Mass of \(\text{CaO}\) produced: \(0.250\text{ mol} \times 56.1\text{ g/mol} = 14.0\text{ g}\).

評分準則

1 mark for the correct calculation showing 14.0 g.
題目 12 · 選擇題
1
During the electrolysis of concentrated aqueous sodium chloride (brine), which products are formed at the anode and the cathode?
  1. A.Anode: Sodium; Cathode: Chlorine
  2. B.Anode: Chlorine; Cathode: Hydrogen
  3. C.Anode: Oxygen; Cathode: Hydrogen
  4. D.Anode: Chlorine; Cathode: Sodium
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解題

At the anode, chloride ions (\(\text{Cl}^-\)) are discharged preferentially over hydroxide ions because the solution is concentrated, forming chlorine gas. At the cathode, hydrogen ions (\(\text{H}^+\)) are discharged preferentially over sodium ions because hydrogen is less reactive than sodium, forming hydrogen gas.

評分準則

1 mark for identifying chlorine at the anode and hydrogen at the cathode.
題目 13 · 選擇題
1
A student performs paper chromatography to identify a dye. The solvent front travels \(8.0\text{ cm}\) from the baseline, and the dye spot travels \(6.0\text{ cm}\) from the baseline. What is the \(R_f\) value of the dye?
  1. A.0.15
  2. B.0.60
  3. C.0.75
  4. D.1.33
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解題

The retention factor (\(R_f\)) is calculated by dividing the distance travelled by the substance by the distance travelled by the solvent front: \(R_f = 6.0\text{ cm} / 8.0\text{ cm} = 0.75\).

評分準則

1 mark for the correct Rf calculation of 0.75.
題目 14 · 選擇題
1
Silicon dioxide (\(\text{SiO}_2\)) has a very high melting point and does not conduct electricity when molten. Which statement explains these properties?
  1. A.It has a giant covalent structure with strong covalent bonds and no free-moving electrons.
  2. B.It consists of small molecules with weak intermolecular forces.
  3. C.It contains ions that are locked in a lattice and cannot move.
  4. D.It is a giant metallic lattice with delocalised electrons that are bound to atoms.
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解題

Silicon dioxide is a giant covalent structure. Melting it requires breaking many strong covalent bonds throughout the macromolecule, which takes a massive amount of energy. It does not conduct electricity because all valence electrons are localised in covalent bonds and cannot move freely.

評分準則

1 mark for identifying the giant covalent structure and lack of mobile charged particles.
題目 15 · 選擇題
1
An atom of an isotope of potassium has a mass number of 39 and an atomic number of 19. How many protons, neutrons, and electrons are in a neutral atom of this isotope?
  1. A.19 protons, 19 neutrons, 20 electrons
  2. B.19 protons, 20 neutrons, 19 electrons
  3. C.20 protons, 19 neutrons, 20 electrons
  4. D.19 protons, 39 neutrons, 19 electrons
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解題

The atomic number represents the number of protons, which is 19. In a neutral atom, the number of electrons equals the number of protons, which is 19. The number of neutrons is found by subtracting the atomic number from the mass number: \(39 - 19 = 20\).

評分準則

1 mark for identifying 19 protons, 20 neutrons, and 19 electrons.
題目 16 · 選擇題
1
Hydrogen reacts with chlorine to form hydrogen chloride gas: \(\text{H}_2(\text{g}) + \text{Cl}_2(\text{g}) \rightarrow 2\text{HCl}(\text{g})\). Given the bond energies: \(\text{H}-\text{H} = 436\text{ kJ/mol}\), \(\text{Cl}-\text{Cl} = 243\text{ kJ/mol}\), \(\text{H}-\text{Cl} = 432\text{ kJ/mol}\). What is the overall energy change for this reaction?
  1. A.+185 kJ/mol
  2. B.-185 kJ/mol
  3. C.-247 kJ/mol
  4. D.+247 kJ/mol
查看答案詳解

解題

Energy required to break reactant bonds: \(436\text{ (H-H)} + 243\text{ (Cl-Cl)} = 679\text{ kJ/mol}\). Energy released making product bonds: \(2 \times 432\text{ (H-Cl)} = 864\text{ kJ/mol}\). Overall energy change = Energy in - Energy out = \(679 - 864 = -185\text{ kJ/mol}\).

評分準則

1 mark for the correct calculation showing -185 kJ/mol.
題目 17 · 選擇題
1
Chlorine water is added to a solution of potassium iodide. Which observation and explanation correctly describe what happens?
  1. A.The solution turns brown because chlorine is more reactive than iodine and displaces iodide ions to form iodine.
  2. B.The solution turns purple because iodine is more reactive than chlorine and displaces chloride ions.
  3. C.No change occurs because chlorine is less reactive than iodine.
  4. D.A white precipitate forms because potassium chloride is insoluble in water.
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解題

Chlorine is more reactive than iodine because it has a smaller atomic radius and can attract incoming electrons more easily. Therefore, chlorine gas displaces iodide ions from solution to form molecular iodine (which turns the solution brown) and chloride ions.

評分準則

1 mark for the correct observation of turning brown and the explanation of halogen displacement.
題目 18 · multiple_choice
1
Which statement about the fractional distillation of crude oil is correct?
  1. A.Larger hydrocarbon molecules condense near the top of the fractionating column because they have lower boiling points.
  2. B.The temperature is highest at the top of the fractionating column and lowest at the bottom.
  3. C.Crude oil is heated to vaporise it before it enters the fractionating column.
  4. D.Fractions with higher boiling points are more flammable and flow more easily.
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解題

Crude oil is preheated to about 350-400 °C to vaporise most of the hydrocarbons before they enter the bottom of the fractionating column. As the vapour rises through the column, which has a temperature gradient (hotter at the bottom and cooler at the top), different fractions condense at their respective boiling points. Larger hydrocarbons with higher boiling points condense near the bottom where it is hottest, while smaller hydrocarbons with lower boiling points rise further up and condense near the cooler top.

評分準則

[1 mark] C - Crude oil is heated to vaporise it before it enters the fractionating column.
Reject other options:
- A is incorrect because larger molecules condense near the bottom where it is hot.
- B is incorrect because the temperature is highest at the bottom and lowest at the top.
- D is incorrect because heavier fractions are less flammable and more viscous.
題目 19 · multiple_choice
1
A compound contains 1.20 g of carbon and 0.30 g of hydrogen. What is the empirical formula of this compound? (Relative atomic masses: \(C = 12.0\), \(H = 1.0\))
  1. A.\(CH\)
  2. B.\(CH_2\)
  3. C.\(CH_3\)
  4. D.\(CH_4\)
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解題

To find the empirical formula, calculate the number of moles of each element:
- Moles of carbon: \(\frac{1.20\text{ g}}{12.0\text{ g/mol}} = 0.10\text{ mol}\)
- Moles of hydrogen: \(\frac{0.30\text{ g}}{1.0\text{ g/mol}} = 0.30\text{ mol}\)
Next, find the simplest whole number ratio by dividing both values by the smallest mole value (0.10):
- Carbon: \(\frac{0.10}{0.10} = 1\)
- Hydrogen: \(\frac{0.30}{0.10} = 3\)
So, the empirical formula is \(CH_3\).

評分準則

[1 mark] C - \(CH_3\)
Award 1 mark for the correct calculation and identification of the empirical formula.
題目 20 · multiple_choice
1
Which products are formed at the electrodes during the electrolysis of aqueous sodium sulfate, \(Na_2SO_4(aq)\), using inert platinum electrodes?
  1. A.Cathode: Sodium; Anode: Oxygen
  2. B.Cathode: Hydrogen; Anode: Oxygen
  3. C.Cathode: Hydrogen; Anode: Sulfur dioxide
  4. D.Cathode: Sodium; Anode: Sulfur dioxide
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解題

In the electrolysis of aqueous sodium sulfate:
- At the cathode (negative electrode), both \(Na^+\) and \(H^+\) (from water) are attracted. Since sodium is more reactive than hydrogen, \(H^+\) is preferentially reduced, producing hydrogen gas (\(H_2\)).
- At the anode (positive electrode), both \(SO_4^{2-}\) and \(OH^-\) (from water) are attracted. Hydroxide ions are preferentially oxidised compared to stable sulfate ions, producing oxygen gas (\(O_2\)) and water.
Therefore, the products are hydrogen at the cathode and oxygen at the anode.

評分準則

[1 mark] B - Cathode: Hydrogen; Anode: Oxygen.
Reject other options because they incorrectly identify either sodium or sulfur dioxide being formed.
題目 21 · multiple_choice
1
A student performs paper chromatography to identify the dyes in a green food colouring. The solvent front travels 8.0 cm from the baseline. A yellow component dye travels 6.0 cm from the baseline. What is the \(R_f\) value of this yellow dye?
  1. A.0.25
  2. B.0.60
  3. C.0.75
  4. D.1.33
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解題

The retention factor (\(R_f\)) is calculated using the formula:
\(R_f = \frac{\text{distance travelled by the substance}}{\text{distance travelled by the solvent front}}\)
Substituting the given values:
\(R_f = \frac{6.0\text{ cm}}{8.0\text{ cm}} = 0.75\).

評分準則

[1 mark] C - 0.75
Award 1 mark for the correct division resulting in 0.75. Reject D which is the inverse calculation (8.0 / 6.0).
題目 22 · multiple_choice
1
Which statement correctly explains why silicon dioxide (\(SiO_2\)) has a much higher melting point than carbon dioxide (\(CO_2\))?
  1. A.Silicon dioxide has a giant covalent structure with many strong covalent bonds that require a large amount of energy to break, whereas carbon dioxide consists of simple molecules with weak intermolecular forces between them.
  2. B.Silicon-oxygen covalent bonds are actually ionic, whereas carbon-oxygen bonds are weak intermolecular forces.
  3. C.Silicon dioxide has strong intermolecular forces because of its giant molecular structure, while carbon dioxide has weak covalent bonds.
  4. D.Carbon dioxide has giant structures of atoms while silicon dioxide consists of individual simple molecules.
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解題

Silicon dioxide exists as a giant covalent lattice where each silicon atom is strongly bonded to four oxygen atoms. To melt silicon dioxide, a vast number of these strong covalent bonds must be broken, requiring a large amount of thermal energy. In contrast, carbon dioxide is a simple molecular structure. While the covalent bonds within the \(CO_2\) molecules are strong, the intermolecular forces between the molecules are very weak and require very little thermal energy to overcome.

評分準則

[1 mark] A - Silicon dioxide has a giant covalent structure with many strong covalent bonds that require a large amount of energy to break, whereas carbon dioxide consists of simple molecules with weak intermolecular forces between them.
Reject B because silicon-oxygen bonds are covalent, not ionic. Reject C and D because they misrepresent the structures and forces.
題目 23 · multiple_choice
1
Which of the following statements correctly explains how increasing the concentration of a reactant in solution increases the rate of a chemical reaction?
  1. A.It increases the activation energy of the reaction, so more particles have enough energy to react.
  2. B.It increases the average kinetic energy of the particles, so they collide more energetically.
  3. C.It increases the number of reacting particles per unit volume, which increases the frequency of successful collisions.
  4. D.It provides an alternative reaction pathway with lower activation energy.
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解題

When the concentration of a reactant is increased, there are more reactant particles present per unit volume. This reduces the average space between the particles, meaning they collide with each other more frequently. Since the frequency of collisions increases, the rate of successful collisions also increases, which results in an increased rate of reaction.

評分準則

[1 mark] C - It increases the number of reacting particles per unit volume, which increases the frequency of successful collisions.
Reject A (activation energy is unchanged by concentration). Reject B (kinetic energy is only changed by temperature). Reject D (catalysts change the reaction pathway, not concentration).

乙部

Answer all questions. Write your answers in the spaces provided.
62 題目 · 150.03999999999996
題目 1 · Structured/Mathematical
2.42
A sample of an organic hydrocarbon contains 85.7% carbon and 14.3% hydrogen by mass. Calculate the empirical formula of this compound. Show your working. (Ar: C = 12, H = 1)
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解題

To find the empirical formula: 1. Divide the mass percentage of each element by its relative atomic mass (Ar). For Carbon: 85.7 / 12 = 7.14. For Hydrogen: 14.3 / 1 = 14.3. 2. Divide each number of moles by the smallest value obtained (7.14). For Carbon: 7.14 / 7.14 = 1. For Hydrogen: 14.3 / 7.14 = 2. This gives the ratio 1 C : 2 H, so the empirical formula is CH2.

評分準則

1 mark for calculating correct mole ratio (C = 7.14 and H = 14.3). 1.42 marks for arriving at the correct simplest whole-number ratio and final empirical formula CH2.
題目 2 · Structured/Mathematical
2.42
A student reacts 4.00 g of copper oxide with excess sulfuric acid to produce copper sulfate crystals. The theoretical yield of the copper sulfate crystals is 12.50 g. The student actually obtains 9.38 g of crystals. Calculate the percentage yield of the product, giving your answer to 3 significant figures.
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解題

Percentage yield is calculated by dividing the actual yield by the theoretical yield and multiplying by 100. Percentage yield = (9.38 / 12.50) * 100 = 75.04%. Rounding to 3 significant figures gives 75.0%.

評分準則

1 mark for substituting the values correctly into the percentage yield equation: (9.38 / 12.50) * 100. 1.42 marks for the final correct answer of 75.0% with 3 significant figures.
題目 3 · Structured/Mathematical
2.42
During the electrolysis of aqueous sodium chloride, hydrogen gas is produced at the negative electrode (cathode). Write the balanced half-equation for the formation of hydrogen gas (H2) from hydrogen ions (H+).
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解題

At the cathode, hydrogen ions are reduced by gaining electrons. Two hydrogen ions gain two electrons to form one hydrogen molecule: 2H+ + 2e- -> H2.

評分準則

1 mark for showing hydrogen ions and electrons on the left hand side and hydrogen molecules on the right hand side. 1.42 marks for the fully balanced equation.
題目 4 · Structured/Mathematical
2.42
In a paper chromatography experiment, a student analyses a food dye. The solvent front travels 8.5 cm from the baseline, and the spot of food dye travels 5.1 cm from the baseline. Calculate the Rf value of this dye.
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解題

The Rf value is calculated by dividing the distance moved by the substance by the distance moved by the solvent front: Rf = 5.1 / 8.5 = 0.6.

評分準則

1 mark for correct division formula set up (5.1 / 8.5). 1.42 marks for correct final decimal answer of 0.6 (or 0.60).
題目 5 · Structured/Mathematical
2.42
A molecule of carbon dioxide (CO2) contains covalent bonds. Calculate the total number of shared electrons in one molecule of carbon dioxide.
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解題

In CO2, the carbon atom forms two double covalent bonds, one with each oxygen atom (O=C=O). Each double bond consists of two shared pairs of electrons (4 electrons). Therefore, the total number of shared electrons in the molecule is 2 * 4 = 8 electrons.

評分準則

1 mark for identifying that carbon dioxide contains two double bonds or four shared pairs of electrons. 1.42 marks for stating the correct total number of shared electrons as 8.
題目 6 · Structured/Mathematical
2.42
When aqueous solutions of barium chloride and sodium sulfate are mixed, a white precipitate of insoluble barium sulfate forms. Write the balanced ionic equation, including state symbols, for this precipitation reaction.
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解題

The reactant ions in solution are barium ions Ba2+(aq) and sulfate ions SO42-(aq). They react to form the solid precipitate barium sulfate: Ba2+(aq) + SO42-(aq) -> BaSO4(s).

評分準則

1 mark for the correct reactant and product ions without state symbols. 1.42 marks for the fully correct balanced equation including correct state symbols (aq) and (s).
題目 7 · Structured/Mathematical
2.42
A natural sample of neon contains 90.0% neon-20 (20Ne) and 10.0% neon-22 (22Ne). Calculate the relative atomic mass (Ar) of this sample of neon. Give your answer to 3 significant figures.
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解題

Relative atomic mass is calculated by taking the weighted average of the isotopic masses: Ar = ((90.0 * 20) + (10.0 * 22)) / 100 = (1800 + 220) / 100 = 2020 / 100 = 20.2.

評分準則

1 mark for the correct calculation setup: ((90 * 20) + (10 * 22)) / 100. 1.42 marks for the correct final relative atomic mass of 20.2.
題目 8 · Structured/Mathematical
2.42
A student reacts marble chips (calcium carbonate) with dilute hydrochloric acid. The reaction produces 45 cm3 of carbon dioxide gas in the first 30 seconds. Calculate the mean rate of reaction during this time interval in cm3/s.
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解題

The mean rate of reaction is calculated by dividing the volume of gas produced by the time taken: Mean rate = Volume / Time = 45 cm3 / 30 s = 1.5 cm3/s.

評分準則

1 mark for substituting the correct numbers into the rate equation (45 / 30). 1.42 marks for the correct numerical rate of 1.5.
題目 9 · Structured/Mathematical
2.42
A 0.10 mol sample of an alkene, \(\text{C}_n\text{H}_{2n}\), is completely combusted in excess oxygen. This reaction produces 9.0 g of water, \(\text{H}_2\text{O}\). Determine the molecular formula of the alkene. Show your working.

Relative atomic masses (\(A_r\)): \(\text{H} = 1.0\), \(\text{O} = 16.0\).
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解題

1. Find the moles of water produced:
\(\text{moles of H}_2\text{O} = \frac{\text{mass}}{\text{relative formula mass}} = \frac{9.0\text{ g}}{18.0\text{ g/mol}} = 0.5\text{ mol}\).

2. Find the total moles of hydrogen atoms in the water:
\(0.5\text{ mol} \times 2 = 1.0\text{ mol}\) of hydrogen atoms.

3. Determine the number of hydrogen atoms per alkene molecule:
Since all hydrogen comes from the alkene:
\(\frac{1.0\text{ mol of H atoms}}{0.10\text{ mol of alkene}} = 10\).

4. Write the formula using the general formula \(\text{C}_n\text{H}_{2n}\):
If \(2n = 10\), then \(n = 5\).
Thus, the molecular formula is \(\text{C}_5\text{H}_{10}\).

評分準則

- 1 mark for calculating the amount of water as 0.5 mol (or 1.0 mol of H atoms).
- 1 mark for setting up the molar ratio and finding that 1 molecule of alkene contains 10 H atoms.
- 0.42 marks for the correct molecular formula \(\text{C}_5\text{H}_{10}\).
題目 10 · Structured/Mathematical
2.42
A student reacts 4.80 g of magnesium ribbon with excess dilute hydrochloric acid:

\(\text{Mg(s)} + 2\text{HCl(aq)} \rightarrow \text{MgCl}_2\text{(aq)} + \text{H}_2\text{(g)}\)

Calculate the maximum volume of hydrogen gas, in \(\text{dm}^3\), produced at room temperature and pressure (r.t.p.).

(Assume 1 mole of any gas occupies \(24.0\text{ dm}^3\) at r.t.p. Relative atomic mass, \(A_r\): \(\text{Mg} = 24.3\). Give your answer to 3 significant figures.)
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解題

1. Find the moles of magnesium reacting:
\(\text{moles of Mg} = \frac{4.80\text{ g}}{24.3\text{ g/mol}} \approx 0.1975\text{ mol}\).

2. Determine the moles of hydrogen produced:
According to the stoichiometry of the equation, 1 mole of Mg produces 1 mole of \(\text{H}_2\).
Therefore, \(\text{moles of H}_2 = 0.1975\text{ mol}\).

3. Calculate the volume of hydrogen gas:
\(\text{Volume} = \text{moles} \times 24.0\text{ dm}^3/\text{mol}\)
\(\text{Volume} = 0.1975\text{ mol} \times 24.0\text{ dm}^3/\text{mol} \approx 4.74\text{ dm}^3\) (to 3 significant figures).

評分準則

- 1 mark for calculating the moles of magnesium as approx. 0.198 mol (accept 0.20 mol if rounded prematurely).
- 1 mark for multiplying the calculated moles of hydrogen by 24.0.
- 0.42 marks for the correct volume of 4.74 (accept 4.8 if 24 was used for Mg, or 4.7).
題目 11 · Structured/Mathematical
2.42
During the electrolysis of molten lead(II) bromide (\(\text{PbBr}_2\)), a current of 1.50 A is passed through the electrolyte for 40.0 minutes.

Calculate the total charge, in Coulombs (C), that flows through the cell during this time.
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解題

1. Identify the relationship between charge, current, and time:
\(Q = I \times t\)

2. Convert the time from minutes to seconds:
\(t = 40.0\text{ minutes} \times 60\text{ s/min} = 2400\text{ s}\).

3. Calculate the charge:
\(Q = 1.50\text{ A} \times 2400\text{ s} = 3600\text{ C}\).

評分準則

- 1 mark for converting time to seconds (2400 s).
- 1 mark for recalling and substituting values into \(Q = I \times t\).
- 0.42 marks for the correct final charge value (3600).
題目 12 · Structured/Mathematical
2.42
Ammonia (\(\text{NH}_3\)) is a simple molecular compound. State the number of shared pairs of electrons (covalent bonds) and the number of non-bonding outer-shell lone pairs on the nitrogen atom in one molecule of ammonia.
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解題

1. Nitrogen is in Group 5 of the Periodic Table and has 5 outer-shell electrons. Hydrogen has 1 outer-shell electron.
2. In \(\text{NH}_3\), nitrogen shares three of its outer-shell electrons with three hydrogen atoms to form three covalent bonds. This results in 3 shared pairs of electrons.
3. This leaves 2 unshared outer-shell electrons on the nitrogen atom, which form 1 non-bonding lone pair.

評分準則

- 1 mark for stating that there are 3 shared pairs of electrons (or 3 single covalent bonds).
- 1 mark for stating that there is 1 lone pair of electrons (or 2 non-bonding electrons) on the nitrogen atom.
- 0.42 marks for a clear, complete correct response.
題目 13 · Structured/Mathematical
2.42
The reaction between hydrogen gas and chlorine gas is represented by the equation:

\(\text{H}_2\text{(g)} + \text{Cl}_2\text{(g)} \rightarrow 2\text{HCl(g)}\)

The bond energies are as follows:
- \(\text{H-H}\): \(436\text{ kJ/mol}\)
- \(\text{Cl-Cl}\): \(243\text{ kJ/mol}\)
- \(\text{H-Cl}\): \(432\text{ kJ/mol}\)

Calculate the overall energy change for the reaction in \(\text{kJ/mol}\).
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解題

1. Calculate the energy required to break reactants' bonds:
- Energy to break 1 mol of \(\text{H-H}\) = \(436\text{ kJ}\)
- Energy to break 1 mol of \(\text{Cl-Cl}\) = \(243\text{ kJ}\)
- Total energy input = \(436 + 243 = 679\text{ kJ/mol}\).

2. Calculate the energy released when making products' bonds:
- Energy released forming 2 mol of \(\text{H-Cl}\) = \(2 \times 432 = 864\text{ kJ/mol}\).

3. Calculate the overall energy change:
\(\text{Energy change} = \text{Energy input} - \text{Energy output}\)
\(\text{Energy change} = 679 - 864 = -185\text{ kJ/mol}\).

評分準則

- 1 mark for calculating the total energy required to break bonds as +679 kJ/mol.
- 1 mark for calculating the total energy released when forming bonds as 864 kJ/mol.
- 0.42 marks for the correct overall energy change of -185 kJ/mol (must include minus sign for accuracy).
題目 14 · Structured/Mathematical
2.42
The reversible reaction between dinitrogen tetroxide and nitrogen dioxide is at dynamic equilibrium:

\(\text{N}_2\text{O}_4\text{(g)} \rightleftharpoons 2\text{NO}_2\text{(g)} \quad \Delta H = +57\text{ kJ/mol}\)

Explain the effect on the position of equilibrium when the temperature is increased and when the pressure is increased.
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解題

1. Effect of temperature: The forward reaction is endothermic (indicated by the positive value of \(\Delta H\)). Increasing temperature will favor the endothermic process to absorb the heat, shifting the position of equilibrium to the right.
2. Effect of pressure: There is 1 mole of gaseous reactant on the left and 2 moles of gaseous product on the right. Increasing pressure will favor the side with fewer moles of gas to reduce the pressure, shifting the equilibrium to the left.

評分準則

- 1 mark for explaining that increasing temperature shifts the equilibrium to the right because the forward reaction is endothermic.
- 1 mark for explaining that increasing pressure shifts the equilibrium to the left because there are fewer moles of gas on the left-hand side.
- 0.42 marks for correct terminology ("dynamic equilibrium", "shifts left/right").
題目 15 · Structured/Mathematical
2.42
A student performs paper chromatography on a sample of food colouring. The solvent front travels a total distance of 8.0 cm from the baseline. One of the dye spots travels a distance of 6.2 cm.

Calculate the \(R_f\) value of this dye spot. Give your answer to 2 decimal places.
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解題

1. Recall the retention factor formula:
\(R_f = \frac{\text{distance moved by the substance}}{\text{distance moved by the solvent front}}\)

2. Substitute the measurements into the formula:
\(R_f = \frac{6.2\text{ cm}}{8.0\text{ cm}} = 0.775\)

3. Round the value to 2 decimal places:
\(R_f \approx 0.78\).

評分準則

- 1 mark for using the correct formula to set up the fraction (6.2 / 8.0).
- 1 mark for obtaining the decimal value 0.775.
- 0.42 marks for rounding correctly to two decimal places (0.78).
題目 16 · Structured/Mathematical
2.42
A student monitors the mass loss in the reaction between calcium carbonate and hydrochloric acid:

\(\text{CaCO}_3\text{(s)} + 2\text{HCl(aq)} \rightarrow \text{CaCl}_2\text{(aq)} + \text{H}_2\text{O(l)} + \text{CO}_2\text{(g)}\)

The initial mass of the reaction flask and its contents was 150.00 g. After 120 seconds, the mass of the flask and contents was 148.24 g.

Calculate the average rate of reaction over this 120-second period in \(\text{g/s}\). Give your answer in standard form to 2 significant figures.
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解題

1. Determine the mass of carbon dioxide gas lost from the flask:
\(\text{Mass loss} = 150.00\text{ g} - 148.24\text{ g} = 1.76\text{ g}\).

2. Calculate the rate of mass loss:
\(\text{Rate} = \frac{\text{change in mass}}{\text{time taken}} = \frac{1.76\text{ g}}{120\text{ s}} \approx 0.01467\text{ g/s}\).

3. Convert to standard form to 2 significant figures:
\(0.01467\text{ g/s} \approx 1.5 \times 10^{-2}\text{ g/s}\).

評分準則

- 1 mark for calculating the mass loss as 1.76 g.
- 1 mark for dividing the mass loss by the time (1.76 / 120) to get 0.0147 g/s.
- 0.42 marks for stating the final value in correct standard form to 2 significant figures (\(1.5 \times 10^{-2}\)).
題目 17 · structured
2.42
An organic compound X is analyzed and found to contain 60.0% carbon, 13.3% hydrogen, and 26.7% oxygen by mass. Determine the empirical formula of compound X. (Relative atomic masses: C = 12.0, H = 1.0, O = 16.0)
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解題

First, calculate the moles of each element in 100 g of the compound: Moles of C = 60.0 / 12.0 = 5.0 mol. Moles of H = 13.3 / 1.0 = 13.3 mol. Moles of O = 26.7 / 16.0 = 1.67 mol. Next, divide each value by the smallest number of moles (1.67): Ratio of C = 5.0 / 1.67 = 3. Ratio of H = 13.3 / 1.67 = 8. Ratio of O = 1.67 / 1.67 = 1. Therefore, the empirical formula is C3H8O.

評分準則

1 mark for calculating correct mole ratios (C = 5, H = 13.3, O = 1.67). 1 mark for dividing by the smallest value to find the simplest whole number ratio (3 : 8 : 1) and writing the final correct empirical formula C3H8O.
題目 18 · structured
2.42
Iron reacts with oxygen to form iron(III) oxide as shown in the equation: \(4Fe + 3O_2 \rightarrow 2Fe_2O_3\). Calculate the mass of iron(III) oxide produced when 11.2 g of iron reacts completely with oxygen. (Relative atomic masses: Fe = 56.0, O = 16.0)
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解題

First, calculate the moles of iron: Moles of Fe = 11.2 / 56.0 = 0.2 mol. From the balanced equation, 4 moles of Fe produce 2 moles of \(Fe_2O_3\), so the molar ratio of Fe to \(Fe_2O_3\) is 2:1. Moles of \(Fe_2O_3\) = 0.2 / 2 = 0.1 mol. Calculate the relative formula mass (Mr) of \(Fe_2O_3\): (2 * 56.0) + (3 * 16.0) = 160.0. Calculate the mass of \(Fe_2O_3\): 0.1 mol * 160.0 g/mol = 16.0 g.

評分準則

1 mark for calculating correct moles of Fe (0.2 mol) and identifying the correct mole ratio to find moles of \(Fe_2O_3\) (0.1 mol). 1 mark for calculating Mr of \(Fe_2O_3\) as 160.0 and finding the final mass of 16.0 g.
題目 19 · structured
2.42
During the electrolysis of aqueous copper(II) chloride, copper ions are discharged at the negative electrode (cathode). Write the balanced ionic half-equation, including state symbols, for the reaction occurring at the cathode.
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解題

At the cathode, positive copper(II) ions (\(Cu^{2+}\)) gain electrons (reduction) to form copper metal. The balanced ionic half-equation with state symbols is \(Cu^{2+}(aq) + 2e^- \rightarrow Cu(s)\).

評分準則

1 mark for the correct reactants and products with charges (\(Cu^{2+}\) and \(e^-\) on the left, \(Cu\) on the right). 1 mark for correct balancing and inclusion of correct state symbols (aq) and (s).
題目 20 · structured
2.42
A student uses paper chromatography to separate a food dye. The solvent front travels a distance of 8.0 cm from the baseline. A yellow component of the dye travels 5.2 cm from the baseline. Calculate the Rf value of this yellow component to 2 significant figures.
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解題

The formula for the Rf value is: Rf = distance moved by substance / distance moved by solvent front. Rf = 5.2 cm / 8.0 cm = 0.65.

評分準則

1 mark for showing correct substitution into the Rf equation (5.2 / 8.0). 1 mark for the correct final answer of 0.65 (must be to 2 significant figures).
題目 21 · structured
2.42
A molecule of carbon dioxide, \(CO_2\), consists of a carbon atom covalently bonded to two oxygen atoms. State the total number of shared electrons in the covalent bonds of one carbon dioxide molecule.
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解題

Each oxygen atom shares two pairs of electrons with the carbon atom to form a double covalent bond (C=O). Since there are two double bonds in a \(CO_2\) molecule, there are 4 covalent bonds in total. Each bond consists of 2 shared electrons. Therefore, the total number of shared electrons is 4 * 2 = 8 electrons.

評分準則

1 mark for identifying that carbon dioxide contains two double covalent bonds. 1 mark for calculating the total number of shared electrons as 8.
題目 22 · structured
2.42
Hydrogen reacts with chlorine to produce hydrogen chloride: \(H_2 + Cl_2 \rightarrow 2HCl\). Use the following bond energies to calculate the overall energy change for this reaction: H-H = 436 kJ/mol, Cl-Cl = 243 kJ/mol, H-Cl = 432 kJ/mol.
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解題

Energy required to break reactant bonds: H-H bond + Cl-Cl bond = 436 + 243 = 679 kJ/mol. Energy released when making product bonds: 2 * H-Cl bonds = 2 * 432 = 864 kJ/mol. Overall energy change = Energy in - Energy out = 679 - 864 = -185 kJ/mol.

評分準則

1 mark for calculating the total energy required to break bonds (679 kJ/mol) and total energy released when making bonds (864 kJ/mol). 1 mark for calculating the correct overall energy change of -185 kJ/mol (must include negative sign for exothermic reaction).
題目 23 · structured
2.42
In an experiment investigating the rate of reaction between magnesium and hydrochloric acid, a student collects 45 \(cm^3\) of hydrogen gas in the first 30 seconds. Calculate the average rate of reaction in this time period in \(cm^3/s\).
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解題

Rate of reaction = Volume of gas produced / Time taken. Rate = 45 \(cm^3\) / 30 s = 1.5 \(cm^3/s\).

評分準則

1 mark for correct formula or substitution of values (45 / 30). 1 mark for correct calculation of 1.5 and the correct unit \(cm^3/s\).
題目 24 · structured
2.42
In the industrial synthesis of ammonia (the Haber process), 14.0 g of nitrogen reacts with excess hydrogen. The theoretical yield of ammonia from this mass of nitrogen is 17.0 g. If the actual mass of ammonia collected is 3.4 g, calculate the percentage yield.
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解題

Percentage yield is calculated using the formula: (Actual yield / Theoretical yield) * 100. Percentage yield = (3.4 g / 17.0 g) * 100 = 20%.

評分準則

1 mark for setting up the correct calculation ratio (3.4 / 17.0). 1 mark for multiplying by 100 to obtain the correct percentage yield of 20%.
題目 25 · Mathematical
2.42
A student heats a sample of iron in oxygen to form an iron oxide. The mass of iron used is 1.12 g and the mass of oxygen that reacts is 0.48 g. Calculate the empirical formula of the iron oxide. (Relative atomic masses, \(A_r\): \(\text{Fe} = 55.8\), \(\text{O} = 16.0\))
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解題

First, calculate the moles of each element: Moles of Fe = 1.12 / 55.8 = 0.02 mol. Moles of O = 0.48 / 16.0 = 0.03 mol. Next, find the simplest whole-number ratio by dividing by the smallest value: Fe = 0.02 / 0.02 = 1, O = 0.03 / 0.02 = 1.5. Multiplying by 2 to get integers gives a ratio of Fe:O = 2:3. Thus, the empirical formula is \(\text{Fe}_2\text{O}_3\).

評分準則

1 Mark: Correctly calculates moles of Fe (0.02) and O (0.03). 1.42 Marks: Determines the simplest whole-number ratio of 2:3 and states the empirical formula as \(\text{Fe}_2\text{O}_3\).
題目 26 · Structured
2.42
Pentane (\(\text{C}_5\text{H}_{12}\)) is an alkane. Write the balanced symbol equation for the complete combustion of pentane in oxygen, including state symbols.
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解題

Complete combustion of pentane reacts with oxygen to form carbon dioxide and water: \(\text{C}_5\text{H}_{12} + \text{O}_2 \rightarrow \text{CO}_2 + \text{H}_2\text{O}\). Balancing carbon gives 5 \(\text{CO}_2\). Balancing hydrogen gives 6 \(\text{H}_2\text{O}\). This requires 16 oxygen atoms on the right side, so we need 8 \(\text{O}_2\) molecules. Adding state symbols at room temperature/combustion conditions: \(\text{C}_5\text{H}_{12}(\text{g}) + 8\text{O}_2(\text{g}) \rightarrow 5\text{CO}_2(\text{g}) + 6\text{H}_2\text{O}(\text{g})\) (or liquid water is acceptable).

評分準則

1 Mark: Correctly identifies all reactants and products with appropriate state symbols. 1.42 Marks: Fully balanced chemical equation.
題目 27 · Structured
2.42
During the electrolysis of aqueous copper(II) sulfate using inert electrodes, copper metal is deposited at the cathode. Write a balanced ionic half-equation, including state symbols, for the reaction occurring at the cathode.
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解題

At the negative electrode (cathode), copper(II) ions in solution are attracted and reduced by gaining electrons to form solid copper metal. The half-equation is: \(\text{Cu}^{2+}(\text{aq}) + 2\text{e}^- \rightarrow \text{Cu}(\text{s})\).

評分準則

1 Mark: Identifies the correct reactants (\(\text{Cu}^{2+}\) and \(\text{e}^-\)) and product (\(\text{Cu}\)). 1.42 Marks: Balances charges and adds correct state symbols: \(\text{Cu}^{2+}(\text{aq}) + 2\text{e}^- \rightarrow \text{Cu}(\text{s})\).
題目 28 · Mathematical
2.42
Using the bond energies provided, calculate the overall energy change, in \(\text{kJ/mol}\), for the following reaction: \(\text{H}_2(\text{g}) + \text{Cl}_2(\text{g}) \rightarrow 2\text{HCl}(\text{g})\). Bond energies: \(\text{H}-\text{H} = 436\text{ kJ/mol}\), \(\text{Cl}-\text{Cl} = 243\text{ kJ/mol}\), \(\text{H}-\text{Cl} = 432\text{ kJ/mol}\).
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解題

Energy to break reactant bonds = \(\text{Bond}(\text{H}-\text{H}) + \text{Bond}(\text{Cl}-\text{Cl}) = 436 + 243 = 679\text{ kJ/mol}\). Energy released making product bonds = \(2 \times \text{Bond}(\text{H}-\text{Cl}) = 2 \times 432 = 864\text{ kJ/mol}\). Overall energy change = Energy to break bonds - Energy released making bonds = 679 - 864 = -185 kJ/mol.

評分準則

1 Mark: Shows working for reactant bond breaking (679 kJ/mol) and product bond making (864 kJ/mol). 1.42 Marks: Correct calculation of the final overall energy change as -185 kJ/mol (must include negative sign).
題目 29 · Mathematical
2.42
A student measures the rate of reaction between calcium carbonate and hydrochloric acid. The student collects \(45\text{ cm}^3\) of carbon dioxide gas in \(90\text{ seconds}\). Calculate the mean rate of reaction in \(\text{cm}^3/\text{s}\).
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解題

Mean rate of reaction is calculated by dividing the volume of gas produced by the time taken: Mean rate = 45 cm³ / 90 s = 0.5 cm³/s.

評分準則

1 Mark: Shows the correct division substitution (45 / 90). 1.42 Marks: Correct final calculation of 0.5 cm³/s with appropriate units.
題目 30 · Mathematical
2.42
In a paper chromatography experiment, the solvent front travels \(8.0\text{ cm}\) from the baseline. A dye spot travels a distance of \(5.2\text{ cm}\) from the baseline. Calculate the \(R_f\) value of this dye to 2 decimal places.
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解題

The retention factor is given by the formula: \(R_f = \frac{\text{distance moved by the substance}}{\text{distance moved by the solvent front}} = \frac{5.2}{8.0} = 0.65\).

評分準則

1 Mark: Recalls the correct formula or correctly substitutes the values (5.2 / 8.0). 1.42 Marks: Correctly calculates \(R_f\) as 0.65.
題目 31 · Structured
2.42
Ammonia is manufactured by the Haber process according to the equilibrium equation: \(\text{N}_2(\text{g}) + 3\text{H}_2(\text{g}) \rightleftharpoons 2\text{NH}_3(\text{g})\) (where the forward reaction is exothermic). State and explain the effect on the equilibrium yield of ammonia if the temperature is increased.
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解題

Increasing the temperature shifts the equilibrium position to favor the endothermic direction to oppose the increase in temperature. Since the forward reaction is exothermic, the reverse reaction is endothermic. Therefore, the equilibrium shifts to the left, decreasing the yield of ammonia.

評分準則

1 Mark: States that the yield of ammonia decreases. 1.42 Marks: Explains that the equilibrium shifts to the left / in the endothermic direction to oppose the temperature increase.
題目 32 · Structured
2.42
Explain, in terms of structure and bonding, why sodium chloride (\(\text{NaCl}\)) has a high melting point.
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解題

Sodium chloride has a giant ionic lattice structure. Within this structure, there are strong electrostatic forces of attraction acting in all directions between the oppositely charged sodium ions (\(\text{Na}^+\)) and chloride ions (\(\text{Cl}^-\)). A substantial amount of thermal energy is required to overcome these strong electrostatic attractions to break the lattice.

評分準則

1 Mark: Identifies the structure as a giant ionic lattice containing strong electrostatic forces of attraction between oppositely charged ions. 1.42 Marks: Explains that a large amount of energy is required to break these strong ionic bonds/forces.
題目 33 · Structured
2.42
A hydrocarbon fuel X has a relative molecular mass of 56. Chemical analysis shows it contains 85.7% carbon and 14.3% hydrogen by mass. Deduce its molecular formula.
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解題

1. Calculate empirical formula: Moles of C = 85.7 / 12 = 7.14. Moles of H = 14.3 / 1 = 14.3. Dividing both by 7.14 gives a ratio of C:H = 1:2, so the empirical formula is CH2. 2. Compare empirical formula mass to relative molecular mass: Mass of CH2 = 12 + (2 * 1) = 14. Scale factor = 56 / 14 = 4. 3. Multiply empirical formula by scale factor: (CH2) * 4 = C4H8.

評分準則

1 mark for calculating correct empirical formula of CH2. 1 mark for calculating scale factor of 4. 0.42 marks for final correct molecular formula C4H8.
題目 34 · Structured
2.42
Calculate the mass of iron(III) oxide (Fe2O3) produced when 11.2 g of iron (Fe) completely reacts with oxygen. The equation for the reaction is: 4Fe + 3O2 -> 2Fe2O3. (Ar: Fe = 56, O = 16)
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解題

1. Moles of Fe = 11.2 / 56 = 0.20 mol. 2. From the equation, 4 moles of Fe produce 2 moles of Fe2O3, which is a 2:1 ratio. Therefore, moles of Fe2O3 = 0.20 / 2 = 0.10 mol. 3. Mr of Fe2O3 = (2 * 56) + (3 * 16) = 160. 4. Mass of Fe2O3 = 0.10 mol * 160 g/mol = 16.0 g.

評分準則

1 mark for calculating moles of Fe as 0.20 mol. 1 mark for calculating moles of Fe2O3 as 0.10 mol. 0.42 marks for calculating final mass of 16.0 g.
題目 35 · Structured
2.42
During the electrolysis of concentrated aqueous sodium chloride (brine), chloride ions are discharged at the anode to form chlorine gas. Write the balanced ionic half-equation for this oxidation reaction, including state symbols.
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解題

Chloride ions (Cl^-(aq)) lose electrons at the positive anode to form diatomic chlorine gas (Cl2(g)). The balanced half-equation showing state symbols is: 2Cl^-(aq) -> Cl_2(g) + 2e^- (or 2Cl^-(aq) - 2e^- -> Cl_2(g)).

評分準則

1 mark for correct species Cl^- and Cl2 with state symbols. 1 mark for correct balancing with electrons. 0.42 marks for overall correct representation of oxidation at anode.
題目 36 · Structured
2.42
In a paper chromatography experiment, a student measures the distance from the baseline to the solvent front as 8.0 cm. A yellow dye spot has travelled a distance of 5.2 cm from the baseline. Calculate the Rf value of the yellow dye, giving your answer to two decimal places.
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解題

Rf value is calculated by dividing the distance travelled by the substance by the distance travelled by the solvent front. Rf = 5.2 cm / 8.0 cm = 0.65.

評分準則

1 mark for recalling Rf formula (distance by spot / distance by solvent). 1 mark for substituting values (5.2 / 8.0). 0.42 marks for final correct answer of 0.65.
題目 37 · Structured
2.42
Calculate the overall energy change for the reaction: H2(g) + Cl2(g) -> 2HCl(g). Use the following average bond energies: H-H = 436 kJ/mol, Cl-Cl = 243 kJ/mol, H-Cl = 432 kJ/mol.
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解題

1. Energy required to break reactant bonds: (H-H) + (Cl-Cl) = 436 + 243 = 679 kJ/mol. 2. Energy released by forming product bonds: 2 * (H-Cl) = 2 * 432 = 864 kJ/mol. 3. Overall energy change = Energy in - Energy out = 679 - 864 = -185 kJ/mol.

評分準則

1 mark for calculating energy to break reactant bonds (679 kJ/mol). 1 mark for calculating energy released by making product bonds (864 kJ/mol). 0.42 marks for calculating overall energy change (-185 kJ/mol, negative sign must be present).
題目 38 · Structured
2.42
During an experiment monitoring the rate of a reaction, 45.0 cm^3 of hydrogen gas was collected in the first 30 seconds. Calculate the mean rate of reaction during this time interval in cm^3/s.
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解題

The mean rate of reaction is calculated by dividing the volume of gas produced by the time taken: Mean rate = Volume of gas / Time = 45.0 cm^3 / 30 s = 1.5 cm^3/s.

評分準則

1 mark for stating or using the rate formula (volume / time). 1 mark for correct substitution (45.0 / 30). 0.42 marks for final correct answer of 1.5 cm^3/s.
題目 39 · Structured
2.42
Aluminium reacts with oxygen to form the ionic compound aluminium oxide. Predict the chemical formula of aluminium oxide using the charges of the aluminium ion (Al^3+) and oxide ion (O^2-).
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解題

To form a neutral ionic compound, the total positive charge must equal the total negative charge. Two aluminium ions (2 * +3 = +6) balance three oxide ions (3 * -2 = -6). Thus, the chemical formula is Al2O3.

評分準則

1 mark for identifying the ratio of Al to O as 2:3. 1.42 marks for the correct formula Al2O3.
題目 40 · Structured
2.42
A student carries out a titration. It requires 25.0 cm^3 of sulfuric acid (H2SO4) to neutralise 20.0 cm^3 of 0.100 mol/dm^3 sodium hydroxide (NaOH). The equation is: H2SO4 + 2NaOH -> Na2SO4 + 2H2O. Calculate the concentration of the sulfuric acid in mol/dm^3.
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解題

1. Calculate moles of NaOH used: moles = concentration * volume = 0.100 * (20.0 / 1000) = 0.00200 mol. 2. Use the balanced equation (1:2 ratio of H2SO4 to NaOH): moles of H2SO4 = 0.00200 / 2 = 0.00100 mol. 3. Calculate concentration of H2SO4: concentration = moles / volume = 0.00100 / (25.0 / 1000) = 0.0400 mol/dm^3.

評分準則

1 mark for calculating moles of NaOH (0.00200 mol). 1 mark for applying mole ratio to find moles of H2SO4 (0.00100 mol). 0.42 marks for finding concentration (0.04 or 0.0400 mol/dm^3).
題目 41 · structured
2.42
Propane, \(\text{C}_3\text{H}_8\), burns completely in oxygen according to the equation: \(\text{C}_3\text{H}_8 + 5\text{O}_2 \rightarrow 3\text{CO}_2 + 4\text{H}_2\text{O}\). Calculate the mass of carbon dioxide, \(\text{CO}_2\), produced when 22.0 g of propane is completely burned. (Relative atomic masses: \(\text{H} = 1\), \(\text{C} = 12\), \(\text{O} = 16\))
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解題

Step 1: Calculate the molar mass (\(M_r\)) of propane: \(M_r(\text{C}_3\text{H}_8) = (3 \times 12) + (8 \times 1) = 44\ \text{g/mol}\). Step 2: Calculate the number of moles of propane: \(\text{moles} = 22.0 / 44 = 0.5\ \text{mol}\). Step 3: Use the stoichiometric ratio from the balanced equation (1 mole of propane produces 3 moles of \(\text{CO}_2\)) to find the moles of \(\text{CO}_2\): \(0.5 \times 3 = 1.5\ \text{mol}\). Step 4: Calculate the molar mass of \(\text{CO}_2\): \(M_r(\text{CO}_2) = 12 + (2 \times 16) = 44\ \text{g/mol}\). Step 5: Calculate the mass of \(\text{CO}_2\): \(\text{mass} = 1.5 \times 44 = 66\ \text{g}\).

評分準則

[1 mark] For calculating moles of propane as 0.5 mol. [1 mark] For multiplying propane moles by 3 to find moles of carbon dioxide (1.5 mol). [0.42 marks] For calculating correct mass of 66 g.
題目 42 · structured
2.42
Calculate the percentage atom economy for the production of hydrogen gas in the reaction: \(\text{CH}_4 + \text{H}_2\text{O} \rightarrow \text{CO} + 3\text{H}_2\). Assume hydrogen is the desired product. Give your answer to 3 significant figures. (Relative atomic masses: \(\text{H} = 1\), \(\text{C} = 12\), \(\text{O} = 16\))
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解題

Step 1: Calculate total formula mass of products (or reactants): \(M_r(\text{CO}) = 12 + 16 = 28\), \(M_r(3\text{H}_2) = 3 \times (2 \times 1) = 6\). Total mass of products = \(28 + 6 = 34\). Step 2: Determine mass of desired product (\(3\text{H}_2\)) = 6. Step 3: Calculate percentage atom economy: \(\text{Atom Economy} = (6 / 34) \times 100 = 17.647...\%\). Rounded to 3 significant figures, this is 17.6%.

評分準則

[1 mark] For calculating total formula mass of products as 34. [1 mark] For calculating mass of desired product as 6. [0.42 marks] For correct final calculation to 3 s.f. (17.6%).
題目 43 · structured
2.42
A student electrolyses aqueous sodium chloride (brine) using inert carbon electrodes. Give the half-equation for the reaction occurring at the anode (positive electrode) and state the chemical test used to confirm the identity of the gas produced at this electrode.
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解題

At the anode (positive electrode), chloride ions are oxidised to produce chlorine gas. The half-equation is \(2\text{Cl}^- \rightarrow \text{Cl}_2 + 2e^-\). Chlorine gas is identified because it turns damp blue litmus paper red and then bleaches it white.

評分準則

[1 mark] For correct balanced half-equation including electrons on the product side: 2Cl⁻ → Cl₂ + 2e⁻ (or 2Cl⁻ - 2e⁻ → Cl₂). [1.42 marks] For stating damp blue (or red) litmus paper is bleached/turns white.
題目 44 · structured
2.42
In a paper chromatography experiment, a dye travels a distance of 4.5 cm from the baseline while the solvent front travels a distance of 6.0 cm from the baseline. Calculate the \(R_f\) value of the dye.
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解題

Using the formula: \(R_f = \text{distance moved by substance} / \text{distance moved by solvent front}\). Here, \(R_f = 4.5 \text{ cm} / 6.0 \text{ cm} = 0.75\).

評分準則

[1 mark] For showing the division of 4.5 by 6.0. [1.42 marks] For the correct final decimal value of 0.75 (accept no units as Rf is a ratio).
題目 45 · structured
2.42
Aluminium ions have a \(3+\) charge (\(\text{Al}^{3+}\)) and oxide ions have a \(2-\$) charge (\)\text{O}^{2-}\)). Determine the chemical formula of aluminium oxide and explain how the charges balance to make the compound electrically neutral.
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解題

To find the simplest ratio that balances the charges: \(2 \times (+3) = +6\) (from two aluminium ions) and \(3 \times (-2) = -6\) (from three oxide ions). The charges sum to zero, so the empirical formula is \(\text{Al}_2\text{O}_3\).

評分準則

[1 mark] For stating the correct chemical formula: Al₂O₃. [1.42 marks] For explaining that two aluminium ions (+6 total) balance three oxide ions (-6 total) to create a net neutral compound.
題目 46 · structured
2.42
When dilute hydrochloric acid (\(\text{HCl}\)) reacts with aqueous sodium hydroxide (\(\text{NaOH}\)), a neutralisation reaction occurs. Write the simplified ionic equation, including state symbols, for this neutralisation reaction.
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解題

Neutralisation involves the reaction of hydrogen ions from the acid with hydroxide ions from the alkali to form water molecules. The simplified ionic equation is \(\text{H}^+\text{(aq)} + \text{OH}^-\text{(aq)} \rightarrow \text{H}_2\text{O(l)}\).

評分準則

[1.42 marks] For the correct species in the ionic equation: H⁺ + OH⁻ → H₂O. [1 mark] For correct state symbols: (aq) for reactants and (l) for product.
題目 47 · structured
2.42
A reaction between calcium carbonate and hydrochloric acid produces carbon dioxide gas. A student measures the volume of gas collected in a gas syringe over time. At 20 seconds, the volume is 15 \(\text{cm}^3\), and at 50 seconds, the volume is 45 \(\text{cm}^3\). Calculate the average rate of reaction, in \(\text{cm}^3/\text{s}\), between 20 and 50 seconds.
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解題

Step 1: Calculate change in volume of gas: \(45\ \text{cm}^3 - 15\ \text{cm}^3 = 30\ \text{cm}^3\). Step 2: Calculate change in time: \(50\ \text{s} - 20\ \text{s} = 30\ \text{s}\). Step 3: Divide volume change by time change: \(\text{rate} = 30\ \text{cm}^3 / 30\ \text{s} = 1.0\ \text{cm}^3/\text{s}\).

評分準則

[1 mark] For showing the change in volume (30 cm³) and change in time (30 s). [1.42 marks] For the correct final value of 1.0 (allow 1) with correct unit cm³/s (or cm³s⁻¹).
題目 48 · structured
2.42
The reaction between hydrogen and chlorine is given by: \(\text{H}_2 + \text{Cl}_2 \rightarrow 2\text{HCl}\). Use the bond energies below to calculate the overall energy change of the reaction in \(\text{kJ/mol}\). Bond energies: \(\text{H-H} = 436\ \text{kJ/mol}\), \(\text{Cl-Cl} = 243\ \text{kJ/mol}\), \(\text{H-Cl} = 432\ \text{kJ/mol}\).
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解題

Step 1: Calculate energy needed to break bonds (reactants): \(1 \times \text{H-H} + 1 \times \text{Cl-Cl} = 436 + 243 = 679\ \text{kJ/mol}\). Step 2: Calculate energy released when making bonds (products): \(2 \times \text{H-Cl} = 2 \times 432 = 864\ \text{kJ/mol}\). Step 3: Calculate energy change: \(\text{Energy broken} - \text{Energy made} = 679 - 864 = -185\ \text{kJ/mol}\).

評分準則

[1 mark] For calculating energy to break bonds (679 kJ/mol) and energy released making bonds (864 kJ/mol). [1.42 marks] For the correct final answer of -185 kJ/mol (must include minus sign for exothermic reaction).
題目 49 · Structured/Mathematical
2.42
A sample of butane (
\(\text{C}_4\text{H}_{10}\)
) with a mass of 5.8 g is completely combusted in excess oxygen.
Calculate the mass of carbon dioxide (
\(\text{C}\text{O}_2\)
) produced.
Relative atomic masses (
\(A_r\)
):
\(\text{H} = 1.0\)
,
\(\text{C} = 12.0\)
,
\(\text{O} = 16.0\)
.
查看答案詳解

解題

Step 1: Calculate the relative formula mass (
\(M_r\)
) of butane (
\(\text{C}_4\text{H}_{10}\)
):
\(M_r = (4 \times 12.0) + (10 \times 1.0) = 58.0\)
.

Step 2: Calculate the number of moles of butane reacted:
\(\text{Moles} = \frac{5.8\text{ g}}{58.0\text{ g/mol}} = 0.10\text{ mol}\)
.

Step 3: Deduce the moles of carbon dioxide produced using the mole ratio. Each molecule of butane contains 4 carbon atoms, meaning 1 mole of
\(\text{C}_4\text{H}_{10}\)
produces 4 moles of
\(\text{CO}_2\)
:
\(\text{Moles of } \text{CO}_2 = 0.10 \times 4 = 0.40\text{ mol}\)
.

Step 4: Calculate the relative formula mass (
\(M_r\)
) of
\(\text{CO}_2\)
:
\(M_r = 12.0 + (2 \times 16.0) = 44.0\)
.

Step 5: Calculate the mass of
\(\text{CO}_2\)
produced:
\(\text{Mass} = 0.40\text{ mol} \times 44.0\text{ g/mol} = 17.6\text{ g}\)
.

評分準則

• 1 mark for calculating 0.10 mol of butane (or finding its correct \(M_r = 58\)).
• 1 mark for realizing the 1:4 molar ratio to get 0.40 mol of \(\text{CO}_2\).
• 0.42 marks for calculating the correct mass of 17.6 g (accept correct answers based on ecf).
題目 50 · Structured/Mathematical
2.42
A student reacts 2.4 g of magnesium metal with excess hydrochloric acid to produce magnesium chloride and hydrogen gas:

\(\text{Mg(s)} + 2\text{HCl(aq)} \rightarrow \text{MgCl}_2\text{(aq)} + \text{H}_2\text{(g)}

The student collects 0.18 g of hydrogen gas. Calculate the percentage yield of hydrogen gas.
Relative atomic masses (
\)A_r\)
):
\(\text{H} = 1.0\)
,
\(\text{Mg} = 24.0\)
.
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解題

Step 1: Calculate the moles of magnesium used:
\(\text{Moles of Mg} = \frac{2.4\text{ g}}{24.0\text{ g/mol}} = 0.10\text{ mol}\)
.

Step 2: Determine the theoretical moles of hydrogen gas produced from the stoichiometry. Since the ratio of
\(\text{Mg} : \text{H}_2\)
is 1:1, the theoretical yield of
\(\text{H}_2\)
is 0.10 mol.

Step 3: Calculate the theoretical mass of
\(\text{H}_2\)
(where
\(M_r \text{ of } \text{H}_2 = 2.0\)
):
\(\text{Theoretical mass} = 0.10\text{ mol} \times 2.0\text{ g/mol} = 0.20\text{ g}\)
.

Step 4: Calculate the percentage yield:
\(\text{Percentage yield} = \left(\frac{\text{Actual yield}}{\text{Theoretical yield}}\right) \times 100 = \left(\frac{0.18\text{ g}}{0.20\text{ g}}\right) \times 100 = 90\%\)
.

評分準則

• 1 mark for calculating the theoretical mass of hydrogen as 0.20 g (or 0.10 mol).
• 1 mark for calculating the correct percentage yield of 90%.
• 0.42 marks for showing correct formula/steps for percentage yield.
題目 51 · Structured/Mathematical
2.42
Write the balanced ionic half-equation, including state symbols, for the reduction of aluminium ions (
\(\text{Al}^{3+}\)
) at the negative electrode (cathode) during the industrial extraction of aluminium.
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解題

Aluminium ions are reduced at the negative cathode. The liquid aluminium ions gain three electrons each to form molten aluminium metal:
\(\text{Al}^{3+}\text{(l)} + 3\text{e}^- \rightarrow \text{Al(l)}
. Note that state symbols must reflect that this process takes place in molten electrolyte (liquid phase).

評分準則

• 1 mark for reactants and products with correct charges (\(\text{Al}^{3+}\) and \(\text{Al}\)).
• 1 mark for correct balance of electrons (\(3\text{e}^-\)) on the left side.
• 0.42 marks for including correct state symbols (l).
題目 52 · Structured/Mathematical
2.42
A student carries out paper chromatography on a sample of food dye. The solvent front travels 8.0 cm from the baseline. A red pigment in the dye travels 5.2 cm from the baseline. Calculate the retention factor (
\(R_f\)
) of this red pigment. Give your answer to 2 decimal places.
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解題

The retention factor (
\(R_f\)
) is calculated using the following formula:

\(R_f = \frac{\text{Distance moved by the substance}}{\text{Distance moved by the solvent front}}\)

Substitute the values from the question:
\(R_f = \frac{5.2\text{ cm}}{8.0\text{ cm}} = 0.65\)
.

評分準則

• 1 mark for selecting/stating the correct formula for \(R_f\).
• 1.42 marks for the correct numerical calculation of 0.65 (accept 0.65 with no working shown).
題目 53 · Structured/Mathematical
2.42
Explain why carbon dioxide (
\(\text{CO}_2\)
) has a very low boiling point (
\(-78.5^\circ\text{C}\)
), whereas silicon dioxide (
\(\text{SiO}_2\)
) has a very high melting point (
\(1710^\circ\text{C}\)
), even though both are Group 4 oxides.
查看答案詳解

解題

Carbon dioxide (
\(\text{CO}_2\)
) exists as small, simple molecules. There are only weak intermolecular forces (forces of attraction between different molecules) holding them together, which do not require much thermal energy to overcome.

Silicon dioxide (
\(\text{SiO}_2\)
), on the other hand, exists as a giant covalent macromolecular structure. Every silicon atom is strongly bonded to oxygen atoms by multiple strong covalent bonds throughout the entire crystal lattice. A vast amount of energy is needed to break these strong bonds.

評分準則

• 1 mark for stating carbon dioxide has a simple molecular structure with weak intermolecular forces.
• 1 mark for stating silicon dioxide has a giant covalent lattice with strong covalent bonds.
• 0.42 marks for relating the structures directly to the energy required to overcome them (little energy for weak intermolecular forces vs high energy to break strong covalent bonds).
題目 54 · Structured/Mathematical
2.42
Calculate the overall energy change for the combustion of methane:

\(\text{CH}_4\text{(g)} + 2\text{O}_2\text{(g)} \rightarrow \text{CO}_2\text{(g)} + 2\text{H}_2\text{O(g)}

Use the following mean bond energies (in kJ/mol):
-
\) ext{C-H}: 413\)

-
\(\text{O=O}: 498\)

-
\(\text{C=O}: 805\)

-
\(\text{O-H}: 463\)
查看答案詳解

解題

Step 1: Calculate the total energy required to break reactants' bonds:
- 4
\(\text{C-H}\)
bonds =
\(4 \times 413 = 1652\text{ kJ/mol}\)

- 2
\(\text{O=O}\)
bonds =
\(2 \times 498 = 996\text{ kJ/mol}\)

Total Energy In =
\(1652 + 996 = 2648\text{ kJ/mol}\)
.

Step 2: Calculate the total energy released when products' bonds are formed:
- 2
\(\text{C=O}\)
bonds =
\(2 \times 805 = 1610\text{ kJ/mol}\)

- 4
\(\text{O-H}\)
bonds =
\(4 \times 463 = 1852\text{ kJ/mol}\)

Total Energy Out =
\(1610 + 1852 = 3462\text{ kJ/mol}\)
.

Step 3: Calculate overall energy change:
\(\text{Energy change} = \text{Total Energy In} - \text{Total Energy Out} = 2648 - 3462 = -814\text{ kJ/mol}\)
.

評分準則

• 1 mark for calculating correct energy required to break bonds (2648 kJ/mol).
• 1 mark for calculating correct energy released making bonds (3462 kJ/mol).
• 0.42 marks for correct calculation of the final overall energy change of -814 kJ/mol (must include negative sign).
題目 55 · Structured/Mathematical
2.42
A student monitors the reaction between calcium carbonate and hydrochloric acid by measuring the volume of carbon dioxide gas produced over time. The results are shown below:
- At
\(t = 0\text{ s}\)
, volume =
\(0\text{ cm}^3\)

- At
\(t = 20\text{ s}\)
, volume =
\(35\text{ cm}^3\)

- At
\(t = 40\text{ s}\)
, volume =
\(58\text{ cm}^3\)

- At
\(t = 60\text{ s}\)
, volume =
\(70\text{ cm}^3\)

Calculate the mean rate of reaction in
\(\text{cm}^3/\text{s}\)
between 0 and 40 seconds.
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解題

The mean rate of reaction is calculated using the change in quantity (volume of gas) divided by the change in time:

\(\text{Mean rate} = \frac{\text{Volume at 40 s} - \text{Volume at 0 s}}{\text{Time elapsed}} = \frac{58\text{ cm}^3 - 0\text{ cm}^3}{40\text{ s} - 0\text{ s}} = \frac{58}{40} = 1.45\text{ cm}^3/\text{s}\)
.

評分準則

• 1 mark for setting up the correct quotient (\(\frac{58}{40}\)).
• 1.42 marks for the correct value of 1.45 (with or without unit).
題目 56 · Structured/Mathematical
2.42
In a titration,
\(25.0\text{ cm}^3\)
of sodium hydroxide (
\(\text{NaOH}\)
) solution is neutralized by exactly
\(20.0\text{ cm}^3\)
of
\(0.150\text{ mol/dm}^3\)
sulfuric acid (
\(\text{H}_2\text{SO}_4\)
):

\(2\text{NaOH(aq)} + \text{H}_2\text{SO}_4\text{(aq)} \rightarrow \text{Na}_2\text{SO}_4\text{(aq)} + 2\text{H}_2\text{O(l)}

Calculate the concentration of the sodium hydroxide solution in
\) ext{mol/dm}^3\)
.
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解題

Step 1: Calculate the moles of sulfuric acid reacted:
\(\text{Moles of } \text{H}_2\text{SO}_4 = \text{concentration} \times \text{volume (dm}^3) = 0.150\text{ mol/dm}^3 \times \left(\frac{20.0}{1000}\right)\text{ dm}^3 = 0.0030\text{ mol}\)
.

Step 2: Determine the moles of sodium hydroxide using the stoichiometric ratio (2:1):
\(\text{Moles of NaOH} = 2 \times 0.0030\text{ mol} = 0.0060\text{ mol}\)
.

Step 3: Calculate the concentration of the sodium hydroxide solution:
\(\text{Concentration of NaOH} = \frac{\text{moles}}{\text{volume (dm}^3)} = \frac{0.0060\text{ mol}}{0.0250\text{ dm}^3} = 0.24\text{ mol/dm}^3\)
.

評分準則

• 1 mark for calculating the moles of sulfuric acid as 0.0030 mol.
• 1 mark for using the 2:1 stoichiometric ratio to find 0.0060 moles of NaOH.
• 0.42 marks for calculating the final concentration of 0.24 (accept 0.24 mol/dm³).
題目 57 · structured
2.42
A hydrocarbon contains 85.7% carbon and 14.3% hydrogen by mass. Calculate the empirical formula of this hydrocarbon. Show your working. Relative atomic masses (\(A_r\)): \(\text{C} = 12.0\), \(\text{H} = 1.0\).
查看答案詳解

解題

1. Find the number of moles of each element in 100 g of the compound: Moles of \(\text{C} = \frac{85.7}{12.0} = 7.14\text{ mol}\). Moles of \(\text{H} = \frac{14.3}{1.0} = 14.3\text{ mol}\). 2. Find the simplest ratio by dividing by the smallest value: \(\text{C} = \frac{7.14}{7.14} = 1\), \(\text{H} = \frac{14.3}{7.14} \approx 2\). Therefore, the empirical formula is \(\text{CH}_2\).

評分準則

1 mark for dividing the percentages by the correct relative atomic masses to find the molar ratio of 7.14 : 14.3. 1.42 marks for finding the simplest whole number ratio of 1 : 2 and correctly stating the empirical formula as \(\text{CH}_2\).
題目 58 · mathematical
2.42
A student reacts 4.00 g of copper(II) oxide with excess dilute sulfuric acid to produce copper(II) sulfate crystals, \(\text{CuSO}_4 \cdot 5\text{H}_2\text{O}\). The theoretical yield of hydrated copper(II) sulfate is 12.50 g. The student actually obtains 9.50 g of dry crystals. Calculate the percentage yield of copper(II) sulfate crystals. Give your answer to 3 significant figures.
查看答案詳解

解題

Use the formula: \(\text{Percentage Yield} = \frac{\text{Actual Yield}}{\text{Theoretical Yield}} \times 100\). Substituting the given values: \(\text{Percentage Yield} = \frac{9.50}{12.50} \times 100 = 76.0\%\).

評分準則

1 mark for the correct substitution of values into the percentage yield formula: \(\frac{9.50}{12.50} \times 100\). 1.42 marks for the correct final answer of 76.0% (accept 76%).
題目 59 · structured
2.42
During the electrolysis of aqueous sodium chloride (brine), hydrogen gas is produced at the cathode. Write the balanced ionic half-equation, including electrons (\(\text{e}^-\)), for the production of hydrogen gas from hydrogen ions (\(\text{H}^+\)) at the cathode.
查看答案詳解

解題

At the cathode, hydrogen ions (\(\text{H}^+\)) gain electrons (reduction) to form hydrogen molecules (\(\text{H}_2\)). The balanced half-equation is: \(2\text{H}^+ + 2\text{e}^- \rightarrow \text{H}_2\).

評分準則

1 mark for identifying \(\text{H}^+\) and \(\text{e}^-\) as reactants and \(\text{H}_2\) as the product. 1.42 marks for a fully balanced ionic equation: \(2\text{H}^+ + 2\text{e}^- \rightarrow \text{H}_2\).
題目 60 · mathematical
2.42
A student performs paper chromatography on a sample of food colouring. The solvent front travels 8.0 cm from the baseline. One of the separated dyes travels 5.2 cm from the baseline. Calculate the \(R_{\text{f}}\)_ value of this dye. Give your answer to 2 decimal places.
查看答案詳解

解題

The retention factor (\(R_{\text{f}}\)) is calculated as: \(R_{\text{f}} = \frac{\text{Distance travelled by substance}}{\text{Distance travelled by solvent}} = \frac{5.2\text{ cm}}{8.0\text{ cm}} = 0.65\).

評分準則

1 mark for substituting the correct distances into the chromatography formula: \(\frac{5.2}{8.0}\). 1.42 marks for the correct final answer of 0.65.
題目 61 · structured
2.42
In diamond, each carbon atom is covalently bonded to other carbon atoms to form a giant covalent structure. State the number of covalent bonds formed by each carbon atom in diamond, and explain why diamond has an extremely high melting point.
查看答案詳解

解題

Each carbon atom in diamond forms 4 strong covalent bonds with neighbouring carbon atoms in a giant tetrahedral lattice. To melt diamond, a massive amount of thermal energy is needed to break these many strong covalent bonds throughout the giant covalent structure.

評分準則

1 mark for identifying that each carbon atom forms 4 covalent bonds. 1.42 marks for explaining that many strong covalent bonds must be broken, requiring a large amount of energy.
題目 62 · mathematical
2.42
A student reacts calcium carbonate with excess dilute hydrochloric acid and measures the volume of carbon dioxide gas produced. At 20 seconds, the volume of gas is \(15\text{ cm}^3\). At 50 seconds, the volume of gas is \(45\text{ cm}^3\). Calculate the mean rate of reaction between 20 s and 50 s. Give your answer in \(\text{cm}^3/\text{s}\).
查看答案詳解

解題

The change in volume of gas is: \(45 - 15 = 30\text{ cm}^3\). The time interval is: \(50 - 20 = 30\text{ s}\). The mean rate of reaction is: \(\frac{30\text{ cm}^3}{30\text{ s}} = 1.0\text{ cm}^3/\text{s}\).

評分準則

1 mark for calculating the correct change in volume (30) and change in time (30). 1.42 marks for the correct division leading to the final answer of 1.0 (or 1) \(\text{cm}^3/\text{s}\).

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