Chemistry — Stoichiometry and Bonding
Stoichiometry connects macroscopic quantities (grams, litres) to atomic-scale particle counts via the mole. Chemical bonding explains why substances have the properties they do. At Year 4 Advanced, you must justify calculations, evaluate experimental designs, and link bonding type to physical properties.
What You'll Learn
- Define the mole and use n = m/M to convert between mass and moles
- Balance chemical equations and use mole ratios for stoichiometric calculations
- Distinguish ionic bonding (metal + non-metal) from covalent bonding (non-metal + non-metal)
- Link bonding type and structure to physical properties (melting point, conductivity, solubility)
- Explain how five factors affect reaction rate using collision theory
- Evaluate the role of catalysts and their industrial significance
IB Assessment Focus
Criterion A: Apply stoichiometry to multi-step calculations; predict products of reactions; apply collision theory to novel contexts.
Criterion B: Design fair-test experiments to investigate rate of reaction; identify variables and justify control of each.
Criterion C: Use correct chemical notation; present results in appropriate data tables and graphs.
Criterion D: Evaluate experimental method for reliability and validity; discuss industrial and environmental implications of reaction conditions.
Key Vocabulary
| Term | Definition |
|---|---|
| Mole (mol) | SI unit for amount of substance; 1 mol = 6.02 × 10²³ particles (Avogadro's number) |
| Molar mass (M) | Mass of one mole of a substance in g/mol; numerically equals relative atomic/molecular mass |
| Stoichiometry | Quantitative study of reactants and products in chemical reactions using mole ratios |
| Ionic bond | Electrostatic attraction between oppositely charged ions formed by electron transfer (metal + non-metal) |
| Covalent bond | Shared pair of electrons between two non-metal atoms |
| Activation energy (E⊂a;) | The minimum energy collisions must possess for a reaction to occur |
| Catalyst | A substance that increases reaction rate by providing an alternative pathway with lower activation energy; is not consumed |
The Mole Concept
The mole bridges the atomic world and the laboratory. Just as a "dozen" means 12, a "mole" means 6.02 × 10²³ — Avogadro's number. This allows chemists to count atoms by weighing them.
n = number of moles (mol) | m = mass (g) | M = molar mass (g/mol)
Calculating Molar Mass
- Find the chemical formula of the substance.
- Look up the relative atomic masses (Ar) of each element from the periodic table.
- Multiply each Ar by the number of that atom in the formula.
- Sum all values to get the molar mass M in g/mol.
- H = 1 g/mol; S = 32 g/mol; O = 16 g/mol.
- M(H&sub2;SO&sub4;) = 2(1) + 32 + 4(16) = 2 + 32 + 64 = 98 g/mol.
Stoichiometry — Mole Ratios
A balanced chemical equation gives the exact mole ratios in which reactants combine and products form. These ratios are the foundation of all stoichiometric calculations.
Balancing Equations
- Write the unbalanced equation with correct chemical formulas.
- Count atoms of each element on both sides.
- Add coefficients (not subscripts) to balance. Start with the most complex molecule.
- Check: all atom counts must match on both sides; all coefficients should be whole numbers in lowest ratio.
Unbalanced: Fe (1) + O&sub2; (2 O) → Fe&sub2;O&sub3; (2 Fe, 3 O).
Balance Fe: 4Fe + O&sub2; → 2Fe&sub2;O&sub3; (4 Fe each side). Balance O: 4Fe + 3O&sub2; → 2Fe&sub2;O&sub3; (6 O each side).
Balanced: 4Fe + 3O&sub2; → 2Fe&sub2;O&sub3;
Stoichiometric Calculation Method
- Write the balanced equation and identify the mole ratio between given and required substances.
- Convert given quantity to moles: n = m / M.
- Apply the mole ratio to find moles of required substance.
- Convert moles to required unit (mass: m = n × M; volume: V = n × 22.4).
Equation: 2H&sub2; + O&sub2; → 2H&sub2;O. Mole ratio H&sub2; : H&sub2;O = 2 : 2 = 1 : 1.
n(H&sub2;) = 4 / 2 = 2 mol. n(H&sub2;O) = 2 mol (1:1 ratio).
m(H&sub2;O) = 2 × 18 = 36 g.
Ionic and Covalent Bonding
Chemical bonding determines the structure of substances, which in turn determines all their physical properties. At Year 4, you must link bonding type to specific properties with justification.
Ionic Bonding
- Occurs between metals and non-metals.
- Metal atoms lose electrons to form positive ions (cations); non-metals gain electrons to form negative ions (anions).
- Ions arrange into a regular lattice structure held by strong electrostatic forces of attraction.
- Example: NaCl — Na loses 1e¹¯ to become Na♠, Cl gains 1e¹¯ to become Cl¹¯.
Covalent Bonding
- Occurs between non-metals.
- Atoms share pairs of electrons to achieve a full outer shell.
- Single bond = 1 shared pair; double bond = 2 shared pairs; triple bond = 3 shared pairs.
- Example: H&sub2;O — oxygen shares one electron pair with each hydrogen.
Bonding and Properties
| Property | Ionic compounds | Simple covalent molecules | Giant covalent structures |
|---|---|---|---|
| Melting point | High (strong lattice forces) | Low (weak intermolecular forces) | Very high (e.g., diamond: strong C-C bonds throughout) |
| Electrical conductivity | Conducts when dissolved or molten (ions free to move); not as solid | Does not conduct (no charged particles) | Does not conduct (except graphite: delocalised electrons) |
| Solubility in water | Usually soluble (ions attracted to polar water) | Variable (polar dissolves, non-polar does not) | Insoluble (too strong to break apart) |
Rates of Reaction and Collision Theory
Collision theory explains why reactions have different rates and how factors change them. For a reaction to occur, particles must collide with sufficient energy (at least the activation energy) and the correct orientation.
Five Factors Affecting Rate of Reaction
| Factor | Effect on rate | Collision theory explanation |
|---|---|---|
| Temperature | Increase → faster | Particles have more kinetic energy: more frequent collisions AND higher proportion exceed activation energy |
| Concentration | Increase → faster | More particles per unit volume → more frequent collisions |
| Surface area | Increase → faster | More particles exposed at the surface → more collision opportunities for reacting particles |
| Catalyst | Present → faster | Provides alternative reaction pathway with lower activation energy; more collisions have sufficient energy to react |
| Pressure (gases) | Increase → faster | Same as concentration: more particles per volume → more frequent collisions |
Industrial significance: Catalysts lower energy costs in industrial processes (e.g., iron catalyst in the Haber process for ammonia synthesis). They make reactions economically viable at lower temperatures and pressures, reducing energy consumption and CO&sub2; emissions.
Limitation: Catalysts can be poisoned (deactivated) by impurities; they are specific to particular reactions; some are expensive metals (e.g., platinum). Catalysts don't change the equilibrium position of reversible reactions — only how quickly equilibrium is reached.
Worked Examples
Detailed calculations and evaluations showing Year 4 Advanced standard.
M(CO&sub2;) = 12 + 2(16) = 12 + 32 = 44 g/mol.
Step 2 — Number of moles:
n = m / M = 88 / 44 = 2 mol.
Interpretation: 88 g of CO&sub2; contains 2 moles, or 2 × 6.02 × 10²³ = 1.204 × 10²&sup4; molecules of CO&sub2;.
Mole ratio Fe : Fe&sub2;O&sub3; = 4 : 2 = 2 : 1.
n(Fe): n = 56 / 56 = 1 mol.
n(Fe&sub2;O&sub3;): Using ratio 2:1 → n(Fe&sub2;O&sub3;) = 1/2 = 0.5 mol.
m(Fe&sub2;O&sub3;): M(Fe&sub2;O&sub3;) = 2(56) + 3(16) = 112 + 48 = 160 g/mol.
m = 0.5 × 160 = 80 g.
Water (H&sub2;O): Consists of individual H&sub2;O molecules with covalent O-H bonds within each molecule. The forces between molecules are weak intermolecular forces (hydrogen bonds in water's case, which are still weaker than ionic bonds). Little energy is needed to separate the molecules — hence water has a relatively low boiling point (100°C at 1 atm).
Key distinction: When melting or boiling a substance, you break intermolecular forces (for covalent molecular substances) or lattice forces (for ionic compounds) — NOT the covalent bonds within molecules. This is why even though H&sub2;O has strong covalent O-H bonds (within the molecule), it has a low boiling point because the between-molecule forces are weaker than ionic lattice forces.
The student could measure the volume of CO&sub2; produced per minute, or the change in mass (as CO&sub2; escapes).
Variables: Independent = HCl concentration. Dependent = rate of CO&sub2; production (cm³/min). Controlled = temperature, marble chip size (same surface area), volume of HCl, mass of marble chips.
Strengths: Measuring CO&sub2; volume gives continuous data and allows a rate vs time graph; mass loss is easy to measure and gives clear data.
Limitations: Gas collection may lose some CO&sub2; before the tube is connected; measuring mass loss is affected by the balance sensitivity; marble chips are not perfectly uniform in size — surface area is difficult to control exactly. The student should use at least 3 trials per concentration for reliability and calculate mean rate.
Conclusion: The design is broadly valid but requires careful attention to controlling surface area (use crushed marble of known mass and similar size) and three repeats to identify and remove anomalies.
Increasing temperature has a dual effect: (1) particles move faster, so collisions are more frequent; AND (2) a greater proportion of particles now have energy exceeding the activation energy (Ea). According to the Maxwell-Boltzmann distribution, even a small temperature rise significantly increases the fraction of particles with E ≥ Ea.
Conclusion: Temperature affects both collision frequency AND the proportion of successful collisions (those with enough energy). Concentration only affects frequency. This dual mechanism makes temperature a more powerful factor in changing reaction rate, particularly for reactions with high activation energies.
Mole ratio KClO&sub3; : O&sub2; = 2 : 3.
M(KClO&sub3;): 39 + 35.5 + 3(16) = 39 + 35.5 + 48 = 122.5 g/mol.
n(KClO&sub3;): 2.45 / 122.5 = 0.02 mol.
n(O&sub2;): 0.02 × (3/2) = 0.03 mol.
V(O&sub2;) at STP: 0.03 × 22.4 = 0.672 L = 672 cm³.
Practice Q&A
Attempt each question before revealing the model answer.
n(CO&sub2;) = 2 × 3 = 6 mol. M(CO&sub2;) = 12 + 32 = 44 g/mol. m(CO&sub2;) = 6 × 44 = 264 g.
Limitation: Surface area is difficult to measure precisely for irregularly shaped chips. Using mass as a proxy for surface area is not accurate because two chips of the same mass may have different surface areas. This introduces uncertainty. A more controlled method would use chips of identical measured surface area (geometric shapes) or use chemical etching to estimate surface area.
Conclusion: The variable is valid but the method has limitations in controlling surface area exactly; results show the trend but quantitative comparison of different experiments is unreliable.
Graphite: Each carbon atom forms 3 covalent bonds in a hexagonal layer structure. The 4th outer-shell electron from each carbon atom is delocalised, free to move between layers. These mobile electrons act as charge carriers, allowing graphite to conduct electricity.
Conclusion: Both are giant covalent carbon structures, but graphite's layered structure with delocalised electrons makes it a conductor — a unique exception among covalent substances.
Industrial significance: The iron catalyst allows the reaction to proceed at 400–500°C rather than thousands of degrees, dramatically reducing fuel consumption and production costs. Ammonia from the Haber process is essential for fertiliser production, supporting global food supply for billions of people.
Environmental benefit: Lower temperatures mean less energy and lower CO&sub2; emissions per tonne of ammonia produced.
Limitation: The catalyst is sensitive to catalyst poisons (e.g., sulfur compounds) which block active sites. Impurities in feedstock gases must be carefully removed, adding processing cost. Additionally, the equilibrium yield at 400°C is only ~15% — unreacted gases must be recycled, requiring additional equipment.
Simple covalent compounds (e.g., H&sub2;O, CO&sub2;) consist of discrete molecules. The forces between molecules are weak intermolecular forces (van der Waals, dipole-dipole, hydrogen bonds) — far weaker than ionic bonds. Only these intermolecular forces need to be overcome during melting, so much less energy is required — resulting in low melting points.
Exception: Giant covalent structures (e.g., diamond, SiO&sub2;) have very high melting points because covalent bonds throughout the whole structure must be broken.
Flashcard Review
Tap each card to reveal the answer. Try to answer from memory first.
n = moles (mol), m = mass (g), M = molar mass (g/mol)