9701/21

Chemistry 9701/21October/November 2015

Cambridge AS Level · AS Level Structured Questions · worked solutions for every part, with the mark scheme

4
questions
60
marks
75
minutes

Topics Chemical Bonding · Atoms, Molecules and Stoichiometry · States of Matter · Chemical Energetics · Equilibria · Nitrogen and Sulfur · +4 more

Q1Chemical BondingStates of MatterAtoms, Molecules and StoichiometryFree sample

Aluminium is a metal in Period 3 and Group III of the Periodic Table.

(a)

Describe the structure of solid aluminium.

2M
DifficultyEasy
Worked solution

Answer

Solid aluminium consists of a regular arrangement (lattice) of positive aluminium ions (cations), surrounded by a sea of delocalised electrons.

Final answer

Lattice of positive Al ions surrounded by delocalised electrons

Detailed explanation

Background Concept

Metals bond metallically: atoms lose their outer electrons, which become delocalised (free to move throughout the structure), leaving a lattice of positive ions held together by the electrostatic attraction between these cations and the delocalised electrons.

Understanding the Question

'Describe the structure' is a two-mark recall command: you must state both components of the metallic model — the cations in a regular lattice AND the delocalised electrons.

Approach

State the two halves of the metallic bonding model in the mark scheme's order.

Step-by-Step Reasoning

Aluminium has three outer electrons. In the solid, these electrons leave the atoms and become delocalised over the whole crystal, while the remaining Al³⁺-like ions arrange in a regular lattice. The attraction between the fixed cations and mobile electrons is the metallic bond. Both features are needed for both marks.

Key Takeaways

Any metallic structure answer needs: (1) regular lattice of positive ions/cations, (2) delocalised electrons.

Common Mistakes

Writing 'atoms in a lattice' instead of 'ions/cations' — the electrons have left, so the lattice species are positive ions. Omitting the delocalised electrons loses the second mark.

Things to Be Careful About

Say 'delocalised electrons' (or 'sea of mobile electrons'), not just 'electrons'.

Techniques used
describe metallic lattice structureidentify delocalised electrons
(b)

A common use of aluminium is to make the conducting cables in long distance overhead power lines.

(i)

Suggest two properties of aluminium that make it suitable for this use.

2M
DifficultyMedium-Easy
Worked solution

Answer

Any two of:

  • Good electrical conductor (delocalised electrons carry charge).
  • Low density (light cables can span long distances without heavy supports).
  • Corrosion resistant (forms a protective oxide layer, so it withstands weather).
  • Ductile (can be drawn into wires).
Final answer

Any two of: electrical conductor, low density, corrosion resistant, ductile

Detailed explanation

Background Concept

Metallic bonding explains typical metal properties: delocalised electrons conduct electricity; non-directional bonding allows layers of ions to slide, giving malleability/ductility; metals are generally dense, though aluminium is unusually light for a metal.

Understanding the Question

'Suggest two properties ... suitable for this use' — the use is overhead power cables, so the properties must make sense for that application.

Approach

Think about what a long-distance overhead cable needs: it must conduct electricity, be light enough to hang, survive weather, and be drawable into wire.

Step-by-Step Reasoning

  • Electrical conductivity: delocalised electrons move when a potential difference is applied — essential for a power cable.
  • Low density: aluminium (density ~2.7 g cm⁻³) is much lighter than copper, so cables sag less and pylons can be further apart.
  • Corrosion resistance: aluminium forms a thin, adherent Al₂O₃ layer that protects it from further oxidation in outdoor conditions.
  • Ductility: the metal can be drawn into wires without breaking.
    Any two of these score the two marks.

Key Takeaways

For 'properties for a use' questions, always connect the property to the application; the mark scheme lists acceptable answers but the property must be a genuine physical/chemical property, not a vague statement.

Common Mistakes

Listing properties irrelevant to the use (e.g. 'shiny', 'high melting point' — melting point is irrelevant for a cable). Vague answers like 'strong' without context may not be credited.

Things to Be Careful About

'Sonducts electricity' is the most essential property here — don't omit it.

Techniques used
link metallic bonding to physical propertiesselect properties relevant to a stated use
(ii)

The cables are attached to pylons by ceramic supports.

Describe the structure of a ceramic material.

1M
DifficultyEasy
Worked solution

Answer

A ceramic has a giant (covalent) lattice structure — a continuous three-dimensional network of atoms joined by strong bonds.

Final answer

Giant lattice structure

Detailed explanation

Background Concept

Ceramics (like the silicon oxides/aluminates in porcelain) are typically giant covalent (or giant ionic) lattices: every atom or ion is bonded throughout a continuous 3D network, giving hardness and high melting points.

Understanding the Question

One mark only: the mark scheme credits 'giant/lattice'. The key idea is that the structure is not molecular but a giant network.

Approach

State the structure type in one line.

Step-by-Step Reasoning

Ceramic supports are made of materials such as silicon dioxide or alumina, which form giant covalent lattices with strong bonds extending throughout the solid. This is what 'giant/lattice' refers to.

Key Takeaways

Ceramic = giant covalent (or giant ionic) lattice; the word 'giant' is the credited keyword.

Common Mistakes

Describing ceramics as 'molecular' or 'ionic with small molecules' — ceramics are giant lattices, not simple molecules.

Things to Be Careful About

Include the word 'giant' — 'lattice' alone of a molecular solid would not distinguish the structure.

Techniques used
describe giant covalent lattice structure
(iii)

State the property of a ceramic material that makes it suitable for this use.

1M
DifficultyEasy
Worked solution

Answer

It is an electrical insulator — no free-moving charged particles, so it prevents the current from passing to the pylon.

Final answer

Electrical insulator

Detailed explanation

Background Concept

Giant covalent structures like ceramics have all their electrons locked in covalent bonds; there are no delocalised electrons or mobile ions, so they cannot conduct electricity.

Understanding the Question

The cable is live; the support must prevent current reaching the earthed pylon. The property is therefore electrical insulation.

Approach

Ask what the ceramic must do in this circuit context: block current.

Step-by-Step Reasoning

Since the ceramic is a giant covalent lattice with no mobile charge carriers, it does not conduct. This is exactly why it can safely hold a live cable against the steel pylon.

Key Takeaways

Match the property to the function: metal cable conducts; ceramic support insulates.

Common Mistakes

Answering 'hard' or 'strong' — those are true of ceramics but not the property relevant to this use.

Things to Be Careful About

The mark scheme wants '(electrical) insulator' specifically.

Techniques used
deduce property from use as electrical insulator
(c)

Aluminium reacts with chlorine to form a white, solid chloride that contains 79.7%79.7\% chlorine and sublimes (changes straight from a solid to a gas) at 180 C180\text{ }^{\circ}\text{C}.

(i)

Describe the structure and bonding in this compound. Suggest how it explains the low sublimation temperature.

2M
DifficultyMedium-Easy
Worked solution

Answer

The chloride is a simple covalent (molecular) compound. The molecules are held together only by weak intermolecular (van der Waals) forces, so little energy is needed to overcome them — hence the low sublimation temperature of 180 °C.

Final answer

Simple covalent molecules with weak van der Waals intermolecular forces, easily overcome

Detailed explanation

Background Concept

Covalent compounds can be giant (diamond, SiO₂) or simple molecular (CO₂, Al₂Cl₆). In simple molecular substances, the covalent bonds within each molecule are strong, but the forces BETWEEN molecules are weak van der Waals (induced dipole–dipole) forces. Physical changes like melting, boiling and sublimation only break the intermolecular forces, not the covalent bonds, so simple molecular substances have low melting/boiling/sublimation points.

Understanding the Question

The clues: a chloride that sublimes at only 180 °C must be simple molecular (a giant structure would need a far higher temperature). You must name the structure/bonding AND explain the low sublimation temperature.

Approach

Mark 1: identify 'simple covalent molecules'. Mark 2: attribute the low sublimation point to weak intermolecular forces being easily overcome.

Step-by-Step Reasoning

Aluminium chloride at around 180–200 °C exists as discrete Al₂Cl₆ molecules. Within each molecule, covalent bonds (including coordinate/dative bonds from chlorine lone pairs to aluminium) are strong. Between molecules there are only weak van der Waals forces. Sublimation separates molecules, so only these weak forces must be overcome — little thermal energy is required, giving the low sublimation temperature of 180 °C.

Key Takeaways

Low melting/sublimation point ⇒ simple molecular; the explanation must reference weak intermolecular forces, never 'weak covalent bonds'.

Common Mistakes

Saying 'weak covalent bonds' — covalent bonds are strong; it is the intermolecular forces that are weak. Saying 'ionic, but with weak ionic bonds' — an ionic lattice would have a very high melting point, contradicting the 180 °C data.

Things to Be Careful About

Use the phrase 'intermolecular forces' or 'van der Waals forces'; 'weak bonds between molecules' is usually accepted but 'intermolecular forces' is the precise term.

Techniques used
identify simple molecular structurerelate weak intermolecular forces to low sublimation temperature
(ii)

Calculate the empirical formula of the chloride. You must show your working.

2M
DifficultyMedium-Easy
Worked solution

Working

Assume 100 g of compound:

Al:20.327.0=0.752Cl:79.735.5=2.25\text{Al}: \frac{20.3}{27.0} = 0.752 \qquad \text{Cl}: \frac{79.7}{35.5} = 2.25

Divide by the smallest:

Al:0.7520.752=1Cl:2.250.752=3\text{Al}: \frac{0.752}{0.752} = 1 \qquad \text{Cl}: \frac{2.25}{0.752} = 3

Answer

Empirical formula: AlCl3\text{AlCl}_3

Final answer

AlCl3

Detailed explanation

Background Concept

The empirical formula is the simplest whole-number ratio of atoms in a compound. From percentage composition, assume 100 g of sample so percentages become grams, convert each mass to moles (mass ÷ Ar), then divide all mole values by the smallest to obtain the ratio.

Understanding the Question

The chloride contains 79.7% chlorine, so aluminium is 100 − 79.7 = 20.3%. 'You must show your working' means the moles calculation itself carries a mark.

Approach

Percentage → mass (100 g basis) → moles → divide by smallest → simplest ratio.

Step-by-Step Reasoning

  • Al: 20.3 g ÷ 27.0 = 0.752 mol
  • Cl: 79.7 g ÷ 35.5 = 2.25 mol
  • Ratio: 0.752 : 2.25; dividing by 0.752 gives 1 : 2.99 ≈ 1 : 3
  • Empirical formula AlCl₃. Note the ratio is not exactly 3 (2.99) — this is rounding, and 1 : 3 is the correct whole-number ratio.

Key Takeaways

Always convert percentages to moles before finding ratios; the 'divide by smallest' step normalises the ratio to integers.

Common Mistakes

Using 79.7 for Al and 20.3 for Cl (forgetting they must sum to 100%). Rounding 2.99 to 2 or 4 instead of 3. Not showing the division step, losing the working mark.

Things to Be Careful About

Use correct Ar values: Al = 27, Cl = 35.5. Show every step clearly since working is explicitly rewarded.

Techniques used
calculate moles from percentage compositiondivide by smallest ratio to find empirical formula
(iii)

At 200 C200\text{ }^{\circ}\text{C} and 100 kPa100\text{ kPa}, a 1.36 g1.36\text{ g} sample of this chloride occupied a volume of 200 cm3200\text{ cm}^3.

Calculate the relative molecular mass, MrM_r, of the chloride. Give your answer to three significant figures.

2M
DifficultyMedium
Worked solution

Working

Convert: T=200+273=473 KT = 200 + 273 = 473 \text{ K}; V=200 cm3=200×106 m3V = 200 \text{ cm}^3 = 200 \times 10^{-6} \text{ m}^3; p=100 kPa=100×103 Pap = 100 \text{ kPa} = 100 \times 10^3 \text{ Pa}.

pV=nRT    n=pVRT=100×103×200×1068.31×473=5.09×103 molpV = nRT \implies n = \frac{pV}{RT} = \frac{100 \times 10^3 \times 200 \times 10^{-6}}{8.31 \times 473} = 5.09 \times 10^{-3} \text{ mol} Mr=mn=1.365.09×103=267M_r = \frac{m}{n} = \frac{1.36}{5.09 \times 10^{-3}} = 267

Answer

Mr=267M_r = 267 (3 s.f.)

Final answer

267

Detailed explanation

Background Concept

The ideal gas equation pV=nRTpV = nRT relates pressure (Pa), volume (m³), moles, the gas constant R=8.31 J K1 mol1R = 8.31 \text{ J K}^{-1}\text{ mol}^{-1} and temperature in kelvin. Since n=m/Mrn = m/M_r, rearranging gives Mr=mRT/(pV)M_r = mRT/(pV).

Understanding the Question

Given: mass 1.36 g, volume 200 cm³ at 200 °C and 100 kPa. Find MrM_r to 3 significant figures. The command 'calculate' demands full working.

Approach

Either use pV=nRTpV = nRT to find moles, then Mr=m/nM_r = m/n; or use the combined formula Mr=mRT/pVM_r = mRT/pV directly. Either way, unit conversion is the critical step.

Step-by-Step Reasoning

  • Temperature must be in kelvin: 200 + 273 = 473 K.
  • Volume must be in m³ for use with R = 8.31: 200 cm³ = 200 × 10⁻⁶ m³.
  • Pressure must be in Pa: 100 kPa = 100 × 10³ Pa.
  • Moles: n=100×103×200×1068.31×473=203930=5.09×103n = \frac{100 \times 10^3 \times 200 \times 10^{-6}}{8.31 \times 473} = \frac{20}{3930} = 5.09 \times 10^{-3} mol.
  • Mr=1.365.09×103=267M_r = \frac{1.36}{5.09 \times 10^{-3}} = 267.
  • The mark scheme awards 1 mark for the correct formula/working and 1 mark for the value; the alternative single-formula route scores the same two marks.

Key Takeaways

Memorise the unit conversions for the ideal gas equation: °C → K (+273), cm³ → m³ (×10⁻⁶), kPa → Pa (×10³). The answer to 3 s.f. is 267.

Common Mistakes

Using 200 K instead of 473 K. Using volume in cm³ directly with R = 8.31 (gives a wildly wrong answer). Using R = 8.31 with kPa and dm³ inconsistently. Giving the answer as 267.3 or only 2 s.f.

Things to Be Careful About

The question explicitly asks for three significant figures — write 267. Check that the answer is sensible: it is roughly double the empirical formula mass of AlCl₃ (133.5), which anticipates part (iv).

Techniques used
apply ideal gas equation pV = nRTconvert units (kPa to Pa, cm3 to m3, °C to K)calculate Mr from mass and moles
(iv)

Deduce the molecular formula of this chloride at 200 C200\text{ }^{\circ}\text{C}.

1M
DifficultyMedium-Easy
Worked solution

Working

Empirical formula mass of AlCl3=27+3(35.5)=133.5\text{AlCl}_3 = 27 + 3(35.5) = 133.5.

Mrempirical formula mass=267133.5=2\frac{M_r}{\text{empirical formula mass}} = \frac{267}{133.5} = 2

Answer

Molecular formula: Al2Cl6\text{Al}_2\text{Cl}_6

Final answer

Al2Cl6

Detailed explanation

Background Concept

The molecular formula is a whole-number multiple of the empirical formula: molecular formula = (M_r ÷ empirical formula mass) × empirical formula.

Understanding the Question

From (ii) the empirical formula is AlCl₃ (M_r = 133.5); from (iii) the actual molecular mass is 267. Deduce the molecular formula at 200 °C.

Approach

Divide the experimental M_r by the empirical formula mass; the integer multiplier scales the empirical formula.

Step-by-Step Reasoning

267 ÷ 133.5 = 2, so the molecule contains two empirical units: Al₂Cl₆. This is chemically sensible — aluminium chloride exists as the dimer Al₂Cl₆ in the vapour phase and just below, with two bridging chlorine atoms forming coordinate (dative) bonds; this dimeric structure explains why it is simple molecular with a low sublimation temperature (linking back to part (i)).

Key Takeaways

Molecular formula = n × empirical formula, where n = M_r ÷ empirical formula mass. Aluminium chloride dimerises to Al₂Cl₆ — a classic fact worth knowing.

Common Mistakes

Writing AlCl₃ (the empirical formula) as the molecular formula. Dividing the wrong way (133.5 ÷ 267). Arithmetic slips with 35.5 × 3.

Things to Be Careful About

The subscript 6 on Cl: Al₂Cl₆, not Al₂Cl₃. The dimer is the species present at 200 °C, consistent with the measured M_r of 267.

Techniques used
divide molecular mass by empirical formula massdeduce molecular formula

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