IGCSE Chemistry (0620)

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1. States of Matter

📋 Syllabus Checklist

Tick off each objective as you master it. These are the exact learning objectives from the Cambridge 0620 syllabus (2026-2028).

📖 Key Concepts — In Depth

The Particle Model of Matter

All matter is made of particles (atoms and molecules). These particles are in constant motion, and the state of a substance—whether it's a solid, liquid, or gas—depends on three things: (1) how far apart the particles are, (2) how arranged they are, and (3) how fast they're moving. The kinetic particle theory explains everything about states of matter using this simple model.

Solids

Structure: Particles are tightly packed in a fixed, regular arrangement (a lattice). They vibrate in fixed positions but cannot move around.

Properties: Fixed shape, fixed volume, cannot be compressed, cannot flow. Hard and rigid.

Why these properties? Strong forces between particles keep them locked in place. Particles have very little kinetic energy—they only vibrate slightly about their fixed positions.

Examples: ice, iron, salt crystals, wood.

Liquids

Structure: Particles are still close together but NOT in a fixed arrangement. They're touching or nearly touching, but can move around and swap positions with neighbours.

Properties: Fixed volume (liquids do NOT compress), but NO fixed shape—they take the shape of their container. Can flow. Denser than gases but less dense than solids.

Why these properties? Forces between particles are strong enough to keep them in contact (so volume is fixed) but weak enough to allow movement (so shape changes). Particles have more kinetic energy than in solids.

Examples: water, mercury, oil, alcohol.

Gases

Structure: Particles are far apart, with no fixed arrangement. They move rapidly and randomly in all directions, colliding with each other and container walls.

Properties: No fixed shape, no fixed volume—gases expand to fill any container. Very easily compressed. Can flow. Much less dense than solids and liquids.

Why these properties? Forces between particles are negligible. Particles have very high kinetic energy. They're far apart most of the time, constantly moving and colliding.

Examples: oxygen, nitrogen, steam, carbon dioxide.

Key difference to remember: The STATE of a substance is about particle separation and motion, NOT about the identity of the particles. The same substance (water, for example) can be solid ice, liquid water, or gaseous steam. The water molecules are identical in all three states—it's just that their arrangement and motion differ.

Changes of State

When you heat or cool a substance, you're adding or removing energy. This changes how fast the particles move, which can change the state.

Melting: Heating a solid so particles vibrate faster and faster until they break free from fixed positions. Temperature stays constant during melting (energy goes into breaking bonds, not raising temperature). When melting finishes, all particles can move freely—the substance is now liquid.

Boiling: Heating a liquid so particles move fast enough to escape into the gas phase. Boiling happens at a specific temperature (the boiling point). During boiling, temperature stays constant—energy goes into separating particles, not raising temperature.

Evaporation: Particles at the surface of a liquid gain enough energy to escape as gas, even below boiling point. It's a slower process than boiling and happens at any temperature. Only the most energetic surface particles escape, so the liquid cools down.

Freezing: Cooling a liquid so particles slow down, move less, and eventually get locked into fixed positions. Temperature stays constant during freezing. When freezing finishes, all particles are vibrating in fixed positions—the substance is now solid.

Condensing: Cooling a gas so particles slow down and clump together into a liquid. Temperature stays constant during condensation. When condensation finishes, particles are touching but can move around.

Sublimation: Some solids (like dry ice and iodine) can transform directly to gases without melting first. Heating breaks the rigid structure, and particles escape as gas. Rare but important to know.

Latent Heat: The energy absorbed or released during a change of state (when temperature is constant) is called latent heat. For melting and boiling, you add latent heat (endothermic). For freezing and condensing, you release latent heat (exothermic). This is why ice melts rather than staying solid forever, and why steam condenses back to water.

Heating and Cooling Curves

A heating curve shows temperature vs. time as you heat a substance. It has three key features:

1. Straight diagonal line (rising): Temperature increases as you heat. Particles move faster. This happens in the solid phase, then in the liquid phase, then in the gas phase.

2. Flat horizontal line (plateau): Temperature STOPS changing even though you keep heating. This is a change of state. Energy goes into separating particles, not into motion. Example: melting ice stays at 0°C until all ice is melted.

3. When the change finishes, temperature rises again in the new state.

Cooling curves are the reverse: falling diagonal lines with flat plateaus during condensing and freezing.

Pressure and Volume of Gases (Boyle's Law)

For a fixed amount of gas at constant temperature: if you decrease the volume (compress the gas), the pressure increases. If you increase the volume (expand the gas), the pressure decreases. This is Boyle's Law: pressure is inversely proportional to volume (pV = constant).

Why? In kinetic particle theory, pressure comes from particles colliding with the container walls. If you compress the gas into a smaller volume, the particles collide with the walls more frequently in the same time period → higher pressure. If you expand it, fewer collisions → lower pressure.

Temperature effect: Higher temperature → particles move faster → they collide harder and more frequently → pressure increases. Lower temperature → particles move slower → fewer, weaker collisions → pressure decreases.

Real exam question: "Explain why the pressure inside a car tyre increases on a hot day." Answer: Particles (gas molecules inside the tyre) move faster at higher temperature, so they collide with the tyre walls more frequently and harder, increasing pressure.

Diffusion

Diffusion is the spreading out of particles from an area of higher concentration to an area of lower concentration, until they're evenly mixed.

In gases: Diffusion is fast because gas particles move quickly and are far apart. Ammonia gas (NH₃) and hydrogen chloride gas (HCl) diffuse through air. If you open a bottle of ammonia at one end of a room, you'll smell it throughout the room within minutes.

In liquids: Diffusion is slower because particles are closer together and moving more slowly than in gases. Dissolving a dye in water shows diffusion—the colour spreads through the water gradually.

Why does diffusion happen? Kinetic particle theory explains it: particles are in constant random motion. By chance, more particles move from the concentrated region to the dilute region than vice versa, so over time, the concentration evens out.

Rate of diffusion depends on molecular mass: Lighter molecules diffuse faster than heavier ones. For example, hydrogen (H₂, mass 2) diffuses much faster than oxygen (O₂, mass 32). At the same temperature, lighter particles move faster (higher average kinetic energy per particle), so they travel further and collide more frequently. This is why HCl gas diffuses faster than NH₃ when both are released—wait, actually NH₃ (mass 17) diffuses faster than HCl (mass 36.5) because NH₃ is lighter. Classical experiment: open bottles of concentrated ammonia and HCl at opposite ends of a tube; the white ring of ammonium chloride forms closer to the HCl end because ammonia diffuses faster.

📝 Definitions Bank (click to reveal)

These definitions use the exact wording expected in IGCSE mark schemes. Click each term to reveal.

Solid +
A state of matter with a fixed shape and fixed volume, in which particles are tightly packed in a regular arrangement and vibrate in fixed positions.
Liquid +
A state of matter with a fixed volume but no fixed shape, in which particles are close together but can move around and flow past each other.
Gas +
A state of matter with no fixed shape and no fixed volume, in which particles are far apart, move rapidly at random, and collide with each other and container walls.
Melting +
The process by which a solid is heated and changes into a liquid; temperature remains constant during melting.
Boiling +
The process by which a liquid is heated and changes into a gas, with vigorous bubbling throughout the liquid; temperature remains constant during boiling.
Evaporation +
The process by which a liquid changes into a gas at the surface, below the boiling point; only the most energetic surface particles escape, causing cooling.
Freezing +
The process by which a liquid is cooled and changes into a solid; temperature remains constant during freezing.
Condensation +
The process by which a gas is cooled and changes into a liquid; temperature remains constant during condensation.
Sublimation +
The process by which a solid changes directly into a gas without melting first, without passing through the liquid state.
Diffusion +
The movement of particles from a region of higher concentration to a region of lower concentration until they are evenly distributed.
Kinetic Particle Theory +
A model of matter in which all substances are made of tiny particles in constant random motion; explains the properties of solids, liquids, and gases.
Latent Heat +
The energy absorbed or released during a change of state when temperature remains constant; it is used to overcome or form forces between particles.
📐 Formulae & Equations
pV = constant (at constant temperature and amount of gas)
Boyle's Law: For a fixed amount of gas at constant temperature, pressure × volume is constant. If pressure increases, volume decreases proportionally, and vice versa.
Use when: Comparing pressure and volume of gases in closed systems.
Pressure ∝ Temperature (at constant volume)
Use when: Explaining why tyre pressure increases on hot days, or why gas pressure increases with heating.
Note: Proportionality, not a direct formula—qualitative understanding needed.
✏️ Worked Examples (IGCSE Exam Style)
3 marks

The diagram below shows a heating curve for ice being heated at constant pressure until it becomes steam.

State the name of the process occurring between point B and point C, and explain why the temperature does not change during this process.

✓ The process is boiling / vaporization. [1 mark for process name]

Explanation: During boiling, energy is used to overcome the forces of attraction between particles, allowing them to escape from the liquid into the gas state. [1 mark for energy/forces] This energy does not increase the kinetic energy (motion) of the particles, so temperature remains constant. [1 mark for explaining temperature doesn't change]

2 marks

Explain, using kinetic particle theory, why a gas exerts pressure on the walls of its container.

✓ Gas particles are in constant random motion [1 mark]

✓ They collide with the container walls; these collisions exert a force on the walls, creating pressure. [1 mark]

3 marks

Two jars are opened—one containing ammonia gas (NH₃, relative molecular mass 17) and one containing hydrogen chloride gas (HCl, relative molecular mass 36.5)—at opposite ends of a long tube. A white ring of ammonium chloride forms closer to the HCl jar. Explain this observation using kinetic particle theory.

✓ Ammonia molecules diffuse faster than HCl molecules [1 mark for observation]

✓ At the same temperature, lighter molecules move faster than heavier ones [1 mark for kinetic theory principle]

✓ Ammonia (mass 17) is lighter than HCl (mass 36.5), so NH₃ molecules travel faster and diffuse further; they meet the slower HCl molecules closer to the HCl jar end, where they react to form the white ring. [1 mark for complete explanation]

2 marks

Explain why a gas is easily compressed, but a liquid is almost incompressible.

✓ In a gas, particles are far apart with lots of empty space between them. When compressed, this empty space is reduced, allowing particles to move closer together. [1 mark]

✓ In a liquid, particles are already touching and close together. There is no empty space to remove, so the volume cannot be reduced further. [1 mark]

2 marks

Explain why the pressure in a car tyre increases when the car is driven on a hot day.

✓ When temperature increases, gas particles move faster (increased kinetic energy). [1 mark]

✓ Faster-moving particles collide with the tyre walls more frequently and with greater force, increasing the pressure. [1 mark]

✍️ Practice Questions
Q1
2 marks
Describe the arrangement and motion of particles in a gas.
Q2
1 mark
What is meant by diffusion?
Q3
3 marks
A puddle of water evaporates on a sunny day. Explain this in terms of kinetic particle theory.
Q4
2 marks
Why does evaporation cause cooling?
Q5
3 marks
Explain why you cannot compress a liquid, but you can compress a gas easily.
Q6
1 mark
What is sublimation?
Q7
2 marks
Explain why the boiling point of a liquid remains constant even though you keep heating.
Q8
3 marks
Chlorine gas (Cl₂, mass 71) diffuses more slowly than fluorine gas (F₂, mass 38). Explain this using kinetic particle theory.
Q9
2 marks
State two differences between melting and boiling.
Q10
3 marks
A sealed syringe contains air at room temperature and pressure. When the plunger is pushed in (compressing the air), the temperature of the air increases. Explain this using kinetic particle theory.
3 marks

Draw and label a reaction pathway diagram for an exothermic reaction showing: reactants, products, activation energy (Ea), and enthalpy change (ΔH).

✓ Diagram shows energy (y-axis) vs reaction progress (x-axis). [1 mark for correct axes]

✓ Products positioned lower than reactants (showing ΔH is negative/exothermic). [1 mark]

✓ Peak between reactants and products labeled Ea; vertical arrow from reactants to peak showing activation energy. ΔH shown as vertical distance from reactants to products. [1 mark]

3 marks

Photosynthesis is endothermic. Explain this in terms of bond breaking and bond making.

✓ In photosynthesis, bonds in CO₂ and H₂O are broken (requires energy). [1 mark]

✓ New bonds are formed in glucose (C₆H₁₂O₆). [1 mark]

✓ The energy required to break bonds in reactants is greater than the energy released in forming bonds in products, making the overall reaction endothermic (ΔH positive). [1 mark]

⚠️ Common Mistakes

Mistake 1: Confusing boiling and evaporation. Remember: Boiling happens throughout the liquid at a fixed temperature; evaporation happens at the surface at any temperature below boiling point.

Mistake 2: Saying temperature increases during a change of state. Remember: Temperature is CONSTANT during melting, boiling, freezing, and condensation. The energy goes into separating or bringing together particles, not into speeding them up.

Mistake 3: Thinking particles stop moving in solids. Remember: Particles in solids vibrate constantly, just in fixed positions. They don't stop moving until absolute zero (−273°C).

Mistake 4: Forgetting that diffusion is random motion causing eventual even distribution. Remember: Particles diffuse because they move randomly in all directions; by chance, more move away from concentrated areas than towards them.

Mistake 5: Confusing "higher temperature" with "all particles moving faster." Remember: Higher temperature means particles move FASTER ON AVERAGE, but some are always moving slower and some faster.

Mistake 6: Not explaining why lighter gases diffuse faster. Remember: At the same temperature, lighter molecules have the same average kinetic energy but higher average speed, so they diffuse faster.

🎯 Exam Strategy

For definition questions:

Always define using the key word. For example, "Melting is the process by which a solid changes into a liquid when heated." Use "process," "state," "change," or similar key terms. Examiners look for those specific words.

For "explain" questions:

Always use kinetic particle theory: mention particles, their arrangement, their motion, and the energy involved. Three sentences is usually enough: (1) what the particles do, (2) why they do it (energy/temperature/forces), (3) the resulting property or phenomenon.

For particle diagrams:

In questions with diagrams, particles in solids should be close and ordered; in liquids, close but jumbled; in gases, far apart and spread out. Labels are critical—show particle spacing differences clearly.

For diffusion rate questions:

Always link molecular mass to speed: lighter molecules move faster at the same temperature (same average KE, but higher speed because KE = 1/2 m v²). This is a high-frequency exam point.

2. Atomic Structure

📋 Syllabus Checklist

Tick off each objective as you master it. These are the exact learning objectives from the Cambridge 0620 syllabus (2026-2028).

📖 Key Concepts — In Depth

Introducing Atomic Structure

Atoms are the basic building blocks of all matter. They're incredibly small—about 100 picometres (pm) across—yet they have internal structure: a central nucleus surrounded by electrons. The nucleus is made of protons and neutrons, which together make up almost all the atom's mass. Electrons are much lighter and orbit (or occupy) regions called shells around the nucleus.

This is the Rutherford-Bohr model of the atom, which is what Cambridge expects for IGCSE. It's not the full quantum mechanical picture, but it explains nearly everything in the 0620 syllabus.

Subatomic Particles — The Players

All atoms are made of three types of particles:

Particle Location Relative Charge Relative Mass
Proton Nucleus +1 1
Neutron Nucleus 0 1
Electron Shells (around nucleus) −1 Negligible (1/1836)

Key facts:

• The nucleus is tiny (about 100,000 times smaller than the atom) but contains most of the atom's mass.

• Protons and neutrons have almost equal mass (1 atomic mass unit = 1 u), which is roughly 2000 times heavier than an electron.

• An atom is electrically neutral because the number of protons equals the number of electrons (positive charge = negative charge).

Atomic Number and Mass Number

Atomic number (proton number): The number of protons in an atom. This is unique to each element—hydrogen has 1 proton, helium has 2, lithium has 3, and so on up to oganesson with 118 protons. Atomic number determines what element it is. Atomic number = number of protons = number of electrons (in a neutral atom).

Mass number (nucleon number): The total number of protons + neutrons in an atom. It's called the nucleon number because protons and neutrons are the nucleons (particles in the nucleus).

Calculating neutrons: Number of neutrons = Mass number − Atomic number

Notation: We write it as Mass NumberSymbol, for example:

16O = oxygen with mass number 16. Since oxygen's atomic number is 8, it has 8 protons and 8 neutrons (16 − 8 = 8).

12C = carbon with mass number 12. Carbon's atomic number is 6, so it has 6 protons and 6 neutrons.

23Na = sodium with mass number 23. Sodium's atomic number is 11, so it has 11 protons and 12 neutrons.

Memory trick: Atomic number always goes before (above) the mass number. Atomic number = Area code (identifies the element). Protons + neutrons = Mass number, Mass number ≥ Atomic number.

Electronic Configuration (Electron Arrangement)

Electrons arrange themselves in shells (also called energy levels or orbitals) around the nucleus. The first shell holds a maximum of 2 electrons, the second shell holds maximum 8, and the third shell holds maximum 8 (for atoms up to atomic number 20, which is calcium).

We write electronic configuration as a sequence: 2,8,3 means 2 electrons in the first shell, 8 in the second, 3 in the third.

Building electronic configurations (filling order):

1. Fill the first shell: 1–2 electrons (H, He)

2. Fill the second shell: 3–10 electrons (Li, Be, B, C, N, O, F, Ne)

3. Fill the third shell: 11–20 electrons (Na, Mg, Al, Si, P, S, Cl, Ar, K, Ca)

Examples:

• Hydrogen (H): 1 electron → 1

• Carbon (C, Z=6): 6 electrons → 2,4 (first shell 2, second shell 4)

• Oxygen (O, Z=8): 8 electrons → 2,6

• Sodium (Na, Z=11): 11 electrons → 2,8,1

• Sulphur (S, Z=16): 16 electrons → 2,8,6

• Calcium (Ca, Z=20): 20 electrons → 2,8,8

Periodic Table Patterns (From Electronic Configuration)

The periodic table is arranged so that atoms with the same number of outer electrons are in the same group (vertical column). This is why they have similar chemical properties.

Group number = number of electrons in the outer shell (for main group elements). Group 1 atoms (alkali metals like Na) have 1 outer electron. Group 2 atoms (alkaline earth metals like Ca) have 2 outer electrons. Group 15 atoms (like N, P) have 5 outer electrons. Group 17 atoms (halogens like Cl) have 7 outer electrons.

Group 8 (or Group 0 in old notation) = the noble gases (He, Ne, Ar) have full outer shells. This is why they're so unreactive—their outer shell is complete, so they don't need to gain, lose, or share electrons.

Period number = number of shells. Period 1 has 1 shell (H, He). Period 2 has 2 shells (Li, Be, B, C, N, O, F, Ne). Period 3 has 3 shells (Na, Mg, Al, Si, P, S, Cl, Ar).

Elements, Compounds, and Mixtures

Element: A substance made of only one type of atom. All atoms have the same atomic number. Examples: pure oxygen gas (O₂), pure iron (Fe), pure gold (Au). Elements appear on the periodic table.

Compound: A substance made of two or more elements chemically bonded together in fixed ratios. Examples: water (H₂O = 2 hydrogen atoms + 1 oxygen atom), carbon dioxide (CO₂ = 1 carbon + 2 oxygen atoms), sodium chloride (NaCl = 1 sodium + 1 chlorine atom). Compounds have completely different properties from their elements. For example, hydrogen (flammable gas) + oxygen (supports combustion) = water (extinguishes fire). Compounds are pure substances.

Mixture: Two or more substances physically combined but NOT chemically bonded. Examples: salt water (salt dissolved in water), brass (copper and zinc mixed), air (nitrogen, oxygen, argon, and other gases). Mixtures have variable composition—you can add more salt to salt water and it's still salt water. Mixtures can be separated by physical methods (evaporation, filtering, chromatography) because no chemical bonds need to be broken.

Key distinction: Compounds are always the same ratio and have fixed properties (water is always H₂O). Mixtures can vary (salt water can be more or less salty) and have properties between their components (salt water's properties are between pure salt and pure water).

Isotopes

Isotopes are atoms of the SAME ELEMENT with the SAME number of protons but DIFFERENT numbers of neutrons. Since they have the same atomic number, they're the same element. Since they have different mass numbers, they have different masses.

Examples:

• Chlorine has two main isotopes: 35Cl (17 protons, 18 neutrons) and 37Cl (17 protons, 20 neutrons).

• Carbon has 12C and 13C and the radioactive 14C.

• Hydrogen has 1H (protium), 2H or D (deuterium), and 3H or T (tritium).

Why chemical properties are the same: Chemical reactions involve electrons, not the nucleus. Isotopes have the same number of electrons (same atomic number), so they behave the same way chemically. 35Cl and 37Cl form the same compounds (both form HCl, both form NaCl) and react the same way.

Why physical properties differ slightly: Mass affects some physical properties. 35Cl and 37Cl have slightly different boiling points, melting points, and densities because they have different masses. But the difference is usually small.

Ions

An ion is an atom (or group of atoms) that has gained or lost electrons.

If an atom loses electrons, it becomes positively charged (cation). For example, Na loses 1 electron to become Na⁺ (sodium ion). The Na atom originally had 11 electrons (same as protons), but after losing 1, it has only 10 electrons while still having 11 protons, so the net charge is +1.

If an atom gains electrons, it becomes negatively charged (anion). For example, Cl gains 1 electron to become Cl⁻ (chloride ion). The Cl atom originally had 17 electrons and 17 protons (neutral). After gaining 1, it has 18 electrons and 17 protons, so the net charge is −1.

Notation: We write Na⁺ and Cl⁻. The superscript shows the charge. For ions with more than one charge, we write 2+ or 2−, like O²⁻ (oxygen ion with 2 negative charges).

Electronic configuration of ions: It's the same as the atom, but with fewer or more electrons. For Na⁺: originally 11 electrons (2,8,1), but loses 1, so now 10 electrons (2,8). For Cl⁻: originally 17 electrons (2,8,7), but gains 1, so now 18 electrons (2,8,8).

Relative Atomic Mass (Ar) from Isotope Data

Since isotopes have different masses, the atomic mass on the periodic table is an average. It's called the relative atomic mass (Ar).

If chlorine has two isotopes with the abundance:

35Cl: 75% abundance, mass = 35

37Cl: 25% abundance, mass = 37

Then: Ar = (35 × 75 + 37 × 25) / 100 = (2625 + 925) / 100 = 3550 / 100 = 35.5

This is why the periodic table lists chlorine as 35.5, not 35 or 37.

Formula: Ar = Σ(isotope mass × % abundance) / 100

📝 Definitions Bank (click to reveal)

These definitions use the exact wording expected in IGCSE mark schemes. Click each term to reveal.

Atom +
The smallest part of an element that can exist independently; it consists of a nucleus (protons and neutrons) surrounded by electrons in shells.
Element +
A substance made of only one type of atom, all with the same atomic number; cannot be broken down into simpler substances by chemical means.
Compound +
A pure substance made of two or more elements chemically bonded together in fixed proportions.
Mixture +
Two or more pure substances physically combined but not chemically bonded; can be separated by physical methods.
Proton +
A positively charged subatomic particle found in the nucleus of an atom; has a relative charge of +1 and relative mass of 1.
Neutron +
A neutral subatomic particle found in the nucleus of an atom; has a relative charge of 0 and relative mass of 1.
Electron +
A negatively charged subatomic particle found in shells around the nucleus of an atom; has a relative charge of −1 and negligible mass.
Atomic number (Proton number) +
The number of protons in the nucleus of an atom; defines which element the atom is.
Mass number (Nucleon number) +
The total number of protons and neutrons in the nucleus of an atom.
Electronic configuration +
The arrangement of electrons in shells around the nucleus of an atom; written as a sequence of numbers (e.g., 2,8,3).
Isotope +
Atoms of the same element (same atomic number) that have different numbers of neutrons and therefore different mass numbers.
Ion +
An atom or group of atoms that has gained or lost electrons, giving it a net electrical charge.
Relative atomic mass (Ar) +
The average mass of an atom of an element relative to one-twelfth of the mass of a carbon-12 atom; accounts for the presence of isotopes.
Nucleus +
The central, positively charged core of an atom, containing protons and neutrons; contains most of the atom's mass.
Shell (Electron shell) +
A region around the nucleus of an atom in which electrons are found; atoms can have multiple shells, each holding a maximum number of electrons.
📐 Formulae & Equations
Number of neutrons = Mass number − Atomic number
Use when: Determining the number of neutrons in an atom from its mass number and atomic number.
Example: 35Cl has mass number 35 and atomic number 17, so neutrons = 35 − 17 = 18.
Relative atomic mass (Ar) = Σ(isotope mass × percentage abundance) / 100
Use when: Calculating the average atomic mass of an element from isotope data.
Example: If 12C is 98.9% and 13C is 1.1%, then Ar = (12 × 98.9 + 13 × 1.1) / 100 = 12.011 ≈ 12.
✏️ Worked Examples (IGCSE Exam Style)
2 marks

An atom has the symbol 19F. State the number of protons and the number of neutrons in an atom of fluorine.

✓ Number of protons = 9 [1 mark — this is the atomic number]

✓ Number of neutrons = 19 − 9 = 10 [1 mark for calculation]

Note: Fluorine always has 9 protons (that's what makes it fluorine). The mass number 19 = 9 + neutrons, so neutrons = 10.

3 marks

Write the electronic configuration of an atom of nitrogen (N, atomic number 7).

✓ Atomic number 7 means nitrogen has 7 electrons [1 mark for understanding]

First shell (max 2): 2 electrons

Second shell (remaining): 7 − 2 = 5 electrons

✓ Electronic configuration = 2,5 [1 mark for correct answer]

Explanation: We fill the inner shells first. The first shell holds max 2, second shell holds max 8. Nitrogen has only 7 electrons total, so first shell gets 2, and the second shell gets the remaining 5.

3 marks

Chlorine has two isotopes: 35Cl (75% abundance) and 37Cl (25% abundance). Calculate the relative atomic mass of chlorine.

✓ Ar = (35 × 75 + 37 × 25) / 100 [1 mark for correct formula and substitution]

Ar = (2625 + 925) / 100

Ar = 3550 / 100

✓ Ar = 35.5 [1 mark for correct calculation]

✓ This matches the value on the periodic table for chlorine. [1 mark for recognition]

2 marks

Explain why isotopes of an element have different physical properties but the same chemical properties.

✓ Chemical properties depend on the number of electrons (electronic configuration), which is the same for all isotopes of an element because they have the same atomic number. [1 mark]

✓ Physical properties like density and boiling point depend on mass, which differs between isotopes. [1 mark]

3 marks

Complete the table below for the ion Na⁺:

Number of protons:___ | Number of electrons:___ | Number of neutrons:___

(Relative atomic mass of sodium = 23, atomic number = 11)

✓ Number of protons = 11 [1 mark — atomic number is always number of protons, unchanged by ionization]

✓ Number of electrons = 10 [1 mark — Na⁺ has lost 1 electron, so 11 − 1 = 10]

✓ Number of neutrons = 23 − 11 = 12 [1 mark — mass number minus atomic number]

Note: Ionization doesn't change the nucleus, only the electrons.

✍️ Practice Questions
Q1
1 mark
Define the term "atomic number."
Q2
2 marks
Complete the table for 16O (oxygen):
Protons: ___ | Electrons (neutral atom): ___ | Neutrons: ___
Q3
1 mark
Write the electronic configuration of magnesium (Mg, Z = 12).
Q4
2 marks
Distinguish between an element and a compound.
Q5
2 marks
What is an isotope? Give one example.
Q6
3 marks
Bromine exists as two isotopes: 79Br (50.7%) and 81Br (49.3%). Calculate the relative atomic mass of bromine.
Q7
1 mark
State how many electrons are in a Cl⁻ ion (chlorine has atomic number 17).
Q8
2 marks
Explain why sodium (2,8,1) and lithium (2,1) have similar chemical properties.
Q9
3 marks
An atom of potassium has mass number 39 and atomic number 19. How many neutrons does it have? Write your answer as a symbol: massK.
Q10
2 marks
Explain why 35Cl and 37Cl have the same chemical properties but slightly different physical properties.
⚠️ Common Mistakes

Mistake 1: Confusing atomic number with mass number. Remember: Atomic number is on the BOTTOM LEFT (tells you the element), mass number is on the TOP LEFT (total protons + neutrons).

Mistake 2: Forgetting that in a neutral atom, electrons = protons. Don't assume an atom is charged unless told otherwise.

Mistake 3: Writing electronic configuration wrongly. Remember: Fill inner shells first (1st shell max 2, 2nd shell max 8, 3rd shell max 8 for first 20 elements).

Mistake 4: Confusing "number of neutrons" with "mass number." Remember: Neutrons = mass number − atomic number, NOT the mass number itself.

Mistake 5: When calculating Ar from isotopes, forgetting to divide by 100 (or not using percentages correctly). The formula requires: (mass₁ × %₁ + mass₂ × %₂) / 100.

Mistake 6: Saying isotopes have different numbers of protons. Remember: Isotopes have the SAME number of protons (same element) but DIFFERENT numbers of neutrons.

Mistake 7: Forgetting the charge notation on ions. Write Na⁺ and Cl⁻, not just Na and Cl, when the question asks about ions.

🎯 Exam Strategy

For structure of atom questions:

Always draw or describe: nucleus (with protons and neutrons), surrounded by electrons in shells. Label each part. This shows the examiner you understand the model. Use the diagram to help answer numerical questions.

For electronic configuration:

Write out the shells step-by-step. First shell gets max 2, second shell gets max 8, remainder in third shell. Write as numbers separated by commas (e.g., 2,8,6). No spaces or dashes—examiners look for exact format.

For isotope calculations:

Always show the formula: Ar = (mass₁ × abundance₁ + mass₂ × abundance₂) / 100. Show substitution of numbers. Calculate step-by-step. Round to 1 decimal place unless told otherwise. Check your answer against the periodic table—it should match (or be very close).

For ion questions:

Protons never change (they define the element). Only electrons change. If told an atom gains or loses electrons, calculate the new electron number and write the symbol with the charge (e.g., Na⁺, O²⁻). Electronic configuration changes, but the number of protons/neutrons stays fixed.

3. Chemical Bonding

📋 Syllabus Checklist

Tick off each objective as you master it. These are the exact learning objectives from the Cambridge 0620 syllabus (2026-2028).

📖 Key Concepts — In Depth

Why Chemical Bonding Matters

Bonding is the heart of chemistry. It explains why NaCl is a brittle solid that melts at 801°C, while Cl₂ is a yellow-green gas that liquefies at −34°C. Both are made of non-metals, but their bonding is completely different. Understanding bonding is not just about knowing facts — it's about predicting properties from structure. This is tested heavily in IGCSE: you may be given a structure and asked to predict melting point, conductivity, or solubility.

Cations and Anions — The Start of Bonding

Before any bond forms, atoms must gain or lose electrons to become ions.

Cations are positively charged ions formed when atoms lose electrons. Group I metals (Li, Na, K) lose 1 electron to form 1+ cations. Group II metals (Mg, Ca) lose 2 electrons to form 2+ cations. Aluminium (Al) loses 3 electrons to form Al³⁺.

Anions are negatively charged ions formed when atoms gain electrons. Non-metals gain electrons:
• Group VII (halogens: Cl, Br, I) gain 1 electron to form 1− anions (Cl⁻, Br⁻, I⁻)
• Group VI (O, S) gain 2 electrons to form 2− anions (O²⁻, S²⁻)
• Group V (N, P) gain 3 electrons to form 3− anions (N³⁻, P³⁻)

Why do they do this? All atoms "want" to achieve the electron configuration of a noble gas (8 electrons in the outer shell, except H which wants 2). Losing or gaining electrons to reach this stable configuration is the driving force behind bonding.

Ionic Bonding — Electron Transfer

Definition: An ionic bond is a strong electrostatic attraction between oppositely charged ions.

How it forms: One atom (a metal) transfers one or more electrons to another atom (a non-metal), creating ions that attract each other.

Example: Sodium Chloride (NaCl)
Sodium has 1 electron in its outer shell. Chlorine has 7 electrons in its outer shell.

Dot-and-cross diagram for NaCl formation:

Before bonding: Na has 1 outer electron, Cl has 7
Sodium transfers 1 electron to chlorine
After: Na⁺ has 0 outer electrons (full inner shell) and Cl⁻ has 8 electrons

Both now have a noble gas configuration (Ne and Ar respectively). The Na⁺ and Cl⁻ ions attract strongly, forming an ionic bond.

Other ionic compounds:

MgO: Mg (2 outer) transfers 2 electrons to O (6 outer) → Mg²⁺ + O²⁻
CaF₂: Ca (2 outer) transfers 2 electrons, and two F atoms each gain 1 → Ca²⁺ + 2F⁻
Al₂O₃: Two Al atoms (3 outer each) transfer 6 electrons to three O atoms (6 outer each) → 2Al³⁺ + 3O²⁻

Ionic Compound Properties — Structure Explains Everything

Ionic compounds form a giant lattice structure — a repeating 3D arrangement of alternating cations and anions, extending throughout the entire crystal.

Why high melting and boiling points?
The electrostatic forces between ions are very strong and work in all directions (each ion attracts multiple ions around it). Breaking these bonds requires enormous energy. Ionic compounds like NaCl melt at 801°C and boil at 1413°C.

Why do they conduct electricity when molten or aqueous, but not when solid?
In a solid, ions are locked in fixed positions — they can't move, so no current flows. When heated above the melting point (molten) or dissolved in water (aqueous), ions become mobile and can carry electrical charge. This is the key difference: ionic compounds only conduct when the ions are free to move.

Why are they often soluble in water?
Water molecules are polar (oxygen pulls electrons toward itself). Water's negative end (oxygen) attracts the cations, and water's positive end (hydrogen) attracts the anions, pulling apart the ionic lattice.

Common mistake: Students say "ionic compounds conduct because they have ions." Wrong! They conduct because the ions can move. In a solid, ions can't move — no conduction. In solution or molten state, they're free to move — conduction occurs.

Covalent Bonding — Electron Sharing

Definition: A covalent bond is formed when a pair of electrons is shared between two atoms, allowing each atom to achieve a noble gas configuration.

Unlike ionic bonding (electron transfer), covalent bonding involves sharing. Neither atom completely loses or gains electrons; they pool their outer electrons.

Example: Hydrogen Molecule (H₂)
Each hydrogen atom has 1 electron. When two H atoms approach, their electrons overlap (share). Both atoms now "feel" 2 electrons in their sphere, achieving the stable He configuration.

Other common covalent molecules:

Cl₂: Each Cl has 7 outer electrons. Sharing 1 pair gives each Cl 8 electrons (Ar configuration)
H₂O: Oxygen (6 outer) bonds with two hydrogens. Each H gets 2, O gets 8
CH₄: Carbon (4 outer) forms 4 bonds with 4 hydrogens. C gets 8, each H gets 2
NH₃: Nitrogen (5 outer) bonds with 3 hydrogens, leaving 1 lone pair
HCl: H and Cl each share a pair, both achieving stable configurations

Dot-and-cross diagram for H₂O:
O has 6 outer electrons, each H has 1
O forms 2 single covalent bonds (sharing 1 pair with each H)
Result: O has 8 electrons (including lone pairs), each H has 2

Multiple bonds:
Some atoms need to share more than one pair:
O₂: A double bond (2 shared pairs) between the oxygens
N₂: A triple bond (3 shared pairs) — very strong, hard to break
C₂H₄: Ethene has a double bond between the carbons

Simple Molecular Substances — Properties

Molecules like H₂, Cl₂, H₂O, CO₂ are held together by strong covalent bonds within the molecule, but the molecules themselves are held together by weak intermolecular forces (Van der Waals forces, hydrogen bonds).

Why low melting and boiling points?
When you heat a molecular substance like ice, you don't break the covalent bonds (O−H bonds in water). Instead, you break the intermolecular forces between separate H₂O molecules. These forces are weak, so little energy is needed. Ice melts at 0°C, water boils at 100°C — much lower than ionic compounds.

Why poor electrical conductivity?
Molecular substances have no ions (or very, very few). Electricity is carried by moving charges (ions or free electrons). Since they have neither, they don't conduct. Even when molten, most simple molecules don't conduct because they don't split into ions.

Intermolecular forces explained:
Molecules are electrically neutral overall, but the electrons within them are unevenly distributed. A slightly positive end of one molecule attracts the slightly negative end of another — these weak attractions are intermolecular forces. They're much weaker than covalent or ionic bonds.

Giant Covalent Structures — Atoms in 3D Networks

Some elements form giant covalent structures where every atom is bonded to every neighbouring atom by strong covalent bonds throughout the entire crystal. There are no molecules — just one enormous network.

Diamond:
Each carbon atom forms 4 covalent bonds to 4 other carbon atoms in a tetrahedral arrangement. This continues in all directions, creating an extremely rigid, hard structure. Diamond is one of the hardest known substances — used for cutting, grinding, and polishing. It melts only at 3823°C.

Graphite:
Carbon atoms form a layered structure. Within each layer, each carbon bonds to 3 others in a hexagonal pattern. The bonds within layers are strong covalent bonds, but between layers, only weak intermolecular forces hold the layers together. This is why graphite:

• Is slippery (layers slide easily past each other) — used as a lubricant
• Conducts electricity (delocalized electrons in the layers can move freely) — used in electrodes
• Has a lower melting point than diamond (though still very high, ~3650°C) because weak forces between layers break before the covalent bonds do

Silicon(IV) Oxide (SiO₂):
Similar to diamond, but with alternating Si and O atoms. Each Si bonds to 4 oxygen atoms, and each O bonds to 2 Si atoms. It's a giant 3D covalent network. Sand, quartz, and glass are all forms of SiO₂. It's hard (used in abrasives) and has a very high melting point (~1710°C).

Diamond vs. SiO₂: Both are giant covalent structures with very high melting points and hardness. The key similarity is the 3D network of strong covalent bonds with no free electrons, which is why neither conducts electricity.

Metallic Bonding — A Sea of Electrons

Definition: Metallic bonding consists of metal cations held together by a "sea" of delocalised electrons that move freely throughout the structure.

In a metal, the outermost electrons are not fixed to individual atoms. Instead, they form a mobile "sea" that flows throughout the crystal. Metal cations (the positively charged cores) are held in place by attraction to this electron sea.

Metal properties explained by this model:

Good electrical conductivity: The free electrons can move easily, carrying electrical current
Good thermal conductivity: Free electrons transfer heat energy rapidly
Malleability: Layers of metal atoms can slide past each other (the electron sea maintains bonding even as positions shift)
Ductility: Metals can be drawn into wires without breaking — the electron sea holds the structure together even under stress
Shiny appearance: Electrons can absorb and re-emit light easily
High melting points: Breaking apart a metal requires disrupting the strong attraction between cations and the electron sea

Summary Table: Comparing All Bonding Types

Property Ionic Simple Molecular Giant Covalent Metallic
Structure 3D lattice of ions Discrete molecules 3D network of atoms Cations + electron sea
Melting point Very high Very low Very high High
Boiling point Very high Very low Very high High
Solid conductivity No No No (except graphite) Yes
Molten conductivity Yes No No Yes
Solubility (water) Often soluble Variable Insoluble Insoluble
Solidity Brittle Liquid/gas Hard, rigid Malleable, ductile
📝 Definitions Bank (click to reveal)

These definitions use the exact wording expected in IGCSE mark schemes. Click each term to reveal.

Ion +
An atom or group of atoms that has lost or gained one or more electrons and carries an electric charge.
Cation +
A positively charged ion formed when an atom loses electrons.
Anion +
A negatively charged ion formed when an atom gains electrons.
Ionic bond +
A strong electrostatic attraction between oppositely charged ions formed by the transfer of electrons from a metal to a non-metal.
Covalent bond +
A bond formed by the sharing of a pair of electrons between two atoms, allowing each to achieve a stable noble gas configuration.
Giant lattice +
A repeating 3D arrangement of ions throughout an entire crystal, where each ion is bonded to multiple neighbouring ions.
Intermolecular forces +
Weak forces of attraction between separate molecules, such as Van der Waals forces and hydrogen bonds.
Giant covalent structure +
A 3D network of atoms where every atom is bonded to neighbouring atoms by strong covalent bonds throughout the entire crystal, with no distinct molecules.
Metallic bonding +
Bonding in metals where metal cations are held together by a "sea" of delocalised electrons that move freely throughout the structure.
Delocalised electrons +
Electrons that are not fixed to individual atoms but are free to move throughout the structure, as found in metals and graphite.
Dot-and-cross diagram +
A representation of bonding where dots and crosses show the positions and origins of outer electrons, used to illustrate ionic and covalent bond formation.
Electrostatic attraction +
The force of attraction between oppositely charged objects (cations and anions in ionic compounds).
✏️ Worked Examples (IGCSE Exam Style)
4 marks

Describe the ionic bonding in sodium chloride (NaCl) using a dot-and-cross diagram. Explain why sodium chloride has a high melting point.

Dot-and-cross diagram:

✓ Sodium loses 1 electron (dot-and-cross diagram showing Na⁺ with 0 outer electrons, Cl⁻ with 8). [1 mark]

✓ Chlorine gains 1 electron from sodium. [1 mark]

Explanation of high melting point:

✓ Ionic compounds have a giant 3D lattice structure where each ion is surrounded by multiple oppositely charged ions. [1 mark]

✓ The strong electrostatic forces between ions extend throughout the entire structure, requiring large amounts of energy to break. [1 mark]

3 marks

Compare the electrical conductivity of solid NaCl and molten NaCl. Explain your answer in terms of ion movement.

✓ Solid NaCl does not conduct electricity. [1 mark]

✓ Molten NaCl conducts electricity. [1 mark]

✓ In solid NaCl, ions are fixed in the lattice and cannot move. In molten NaCl, ions are free to move and carry electrical charge (current). [1 mark]

4 marks

Draw dot-and-cross diagrams for H₂ and Cl₂. Explain why these molecules have low melting points.

Dot-and-cross diagrams:

✓ H₂: Two H atoms sharing one electron pair (both with 2 electrons). [1 mark]

✓ Cl₂: Two Cl atoms sharing one electron pair (each with 8 electrons). [1 mark]

Why low melting points:

✓ H₂ and Cl₂ are simple molecular substances with weak intermolecular forces (Van der Waals forces) between molecules. [1 mark]

✓ When melting, these weak intermolecular forces are overcome, not the strong covalent bonds within molecules. Therefore, little energy is needed. [1 mark]

3 marks

Explain why graphite conducts electricity but diamond does not, although both are forms of carbon.

✓ Both graphite and diamond have giant covalent structures with strong C−C bonds. [1 mark]

✓ Graphite has layers with delocalised electrons within each layer that are free to move and carry electrical charge. [1 mark]

✓ Diamond has all electrons localized in C−C bonds with no free electrons, so it cannot conduct electricity. [1 mark]

3 marks

Explain why metals such as copper are malleable (can be bent without breaking).

✓ Metals consist of cations held together by a sea of delocalised electrons. [1 mark]

✓ When a metal is bent, layers of cations can slide past each other. [1 mark]

✓ The electron sea continues to hold the cations together even after they move, so the metal doesn't break. [1 mark]

❓ Practice Questions (10 Questions)
Q1
2 marks

State the number of electrons lost by a sodium atom to form a Na⁺ cation, and explain why sodium is willing to lose this electron.

Q2
2 marks

Which of the following is the best description of an ionic bond?

  • A) The sharing of a pair of electrons between two atoms
  • B) The strong electrostatic attraction between two oppositely charged ions
  • C) The attraction between a metal and a non-metal
  • D) The repulsion between electrons in adjacent atoms
Q3
3 marks

Magnesium oxide (MgO) is an ionic compound. Draw a dot-and-cross diagram showing the outer electrons in Mg²⁺ and O²⁻.

Q4
2 marks

Why does solid NaCl not conduct electricity, but aqueous NaCl (solution) does?

Q5
2 marks

Draw a dot-and-cross diagram for a water molecule (H₂O), showing the covalent bonds.

Q6
3 marks

Compare the melting points of water (100°C at boiling), methane (−162°C), and sodium chloride (801°C). Explain these differences in terms of bonding and structure.

Q7
2 marks

State two properties of giant covalent structures like diamond. Explain each property in terms of structure.

Q8
2 marks

Explain why graphite is used as a lubricant and as an electrode in electrolysis, linking to its structure.

Q9
3 marks

Describe metallic bonding and explain why metals are both good electrical conductors and malleable.

Q10
3 marks

Explain why SiO₂ has properties similar to diamond (both hard, high melting points, poor conductivity) but is made of different elements.

⚠️ Common Mistakes & How to Avoid Them
Mistake 1: "Ionic compounds conduct electricity because they have ions."
Why wrong: All ionic compounds have ions, but solid ionic compounds don't conduct. The key is whether the ions can move. In solid NaCl, ions are locked in the lattice. In molten or aqueous NaCl, they're free to move and carry charge.
How to fix it: Always say "conducts when molten or in solution because ions are mobile." In the solid state, the lattice is fixed, so no conduction.
Mistake 2: "Covalent bonds are weaker than ionic bonds."
Why wrong: Individual covalent bonds CAN be as strong as ionic bonds. The confusion comes from comparing melting points. Water (weak intermolecular forces) has mp 0°C, while NaCl (strong ionic) has mp 801°C. But this is comparing intermolecular forces in water with ionic bonds — not fair. Diamond (strong covalent throughout) has a higher melting point than many ionic compounds.
How to fix it: When comparing bond strengths, compare like with like. When comparing substances, remember that melting point depends on what you're breaking: covalent bonds within molecules, intermolecular forces between molecules, or ionic bonds in a lattice.
Mistake 3: Saying water is an ionic compound because it has hydrogen and oxygen atoms.
Why wrong: Water is covalent. Hydrogen and oxygen are both non-metals, so they share electrons. Only metal + non-metal combinations form ionic bonds.
How to fix it: Ionic bonding = metal + non-metal (electron transfer). Covalent bonding = non-metal + non-metal (electron sharing).
Mistake 4: Saying graphite and diamond have the same structure.
Why wrong: Both are giant covalent structures made of carbon, but their arrangements are completely different. Diamond: 3D tetrahedral network. Graphite: layered structure with delocalised electrons in layers.
How to fix it: Draw the structures. In diamond, imagine each C atom at the corner of a tetrahedron bonded to 4 others. In graphite, imagine flat layers of hexagons with weak bonds between layers.
Mistake 5: Forgetting to explain metallic bonding in terms of electron sea.
Why wrong: Many students say "metals conduct because they have free electrons" but don't explain where these electrons come from or what they're doing. The electron sea model is key to explaining all metal properties (conductivity, malleability, ductility, shine).
How to fix it: Always include: "Metal atoms form cations that are held together by a sea of delocalised electrons that move freely throughout the structure."
🎯 Exam Strategy & Tips

When asked to "explain" properties:

Don't just list facts. Link structure to property. Always follow this format:

1. Describe the structure (e.g., "giant 3D lattice of ions")
2. Identify what holds it together (e.g., "strong electrostatic forces")
3. Explain the property (e.g., "high melting point because lots of energy is needed to break these strong forces")

Example: If asked why diamond is hard: "Diamond has a giant covalent structure where each carbon atom is bonded to 4 other carbons in a tetrahedral arrangement. These strong C−C covalent bonds extend throughout the entire 3D crystal. To break the substance, you must break these strong bonds, which requires a lot of energy. Therefore, diamond is very hard." ✓

Dot-and-cross diagram tips:

• Clearly show which atoms the electrons come from (usually dots from one atom, crosses from the other)
• For ionic compounds, show the charge (e.g., Na⁺ and Cl⁻)
• For covalent bonds, show the shared pair clearly in the overlap region
• Show all outer shell electrons, including lone pairs
• Practice reading the element's position in the periodic table to determine outer electrons (Group I = 1, Group II = 2, Group VI = 6, Group VII = 7)

Conductivity questions:

Always ask: "What carries the charge?" and "Can it move?"
• Ionic solids: No moving charges (ions locked in place) → No conduction
• Molten/aqueous ionic: Ions can move → Conducts
• Simple molecular: No ions, no free electrons → No conduction
• Metals: Free electrons → Conducts (even in solid)
• Graphite: Free electrons in layers → Conducts
• Diamond: No free electrons → No conduction

Comparison questions (e.g., diamond vs. graphite, or NaCl vs. H₂O):

Use a table to organize your answer:

Diamond: Giant covalent, all electrons in C−C bonds, no delocalised electrons, very hard, very high mp
Graphite: Giant covalent, delocalised electrons in layers, conducts, slippery, high mp but lower than diamond
Similarity: Both are giant covalent structures made of C
Difference: Arrangement and electron arrangement (delocalised vs. localized)

Watch for "trick" questions:

Question: "Why does water have a low boiling point compared to sodium chloride?"
Don't say: "Because covalent bonds are weaker."
Do say: "Water's molecules are held together by weak intermolecular forces (hydrogen bonds/Van der Waals forces), while NaCl has a giant ionic lattice held together by strong electrostatic forces. Melting/boiling water requires breaking intermolecular forces, not covalent bonds, so less energy is needed."

4. Chemical Formulae & Equations

📋 Syllabus Checklist

Tick off each objective as you master it. These are the exact learning objectives from the Cambridge 0620 syllabus (2026-2028).

📖 Key Concepts — In Depth

Why Formulae & Equations Matter

Chemistry is a language. Formulae and equations are how we communicate exactly what substances are involved, in what proportions, and what conditions they require. Get the formula wrong, and everything that follows — calculations, predictions, understanding — falls apart. IGCSE tests this heavily because it's fundamental to everything you do in chemistry.

Chemical Formulae — Representing Substances

Molecular formula: The actual number of atoms of each element in a molecule. Examples: H₂O (water), CO₂ (carbon dioxide), C₆H₁₂O₆ (glucose).

Empirical formula: The simplest whole number ratio of atoms of each element in a compound. For glucose, the empirical formula is CH₂O (the ratio is 1:2:1), but the molecular formula is C₆H₁₂O₆ (which is 6 × CH₂O).

Writing Formulae from Ion Charges

For ionic compounds, use the valency (oxidation state) method. The positive charge of the cation must balance the negative charge of the anion.

Example: Calcium Fluoride
• Ca is a Group II metal → forms Ca²⁺
• F is a Group VII non-metal → forms F⁻
• To balance: 1 Ca²⁺ needs 2 F⁻ ions
• Formula: CaF₂

Example: Aluminum Oxide
• Al is a Group III metal → forms Al³⁺
• O is a Group VI non-metal → forms O²⁻
• To balance: 2 Al³⁺ ions (total +6) with 3 O²⁻ ions (total −6)
• Formula: Al₂O₃

Key rule: The number of positive charges must equal the number of negative charges. Ignore the signs, just make the numbers balance.

Balancing Chemical Equations

A balanced chemical equation shows the correct proportions of reactants and products. Atoms are neither created nor destroyed (Law of Conservation of Mass).

Process:
1. Write the unbalanced equation with correct formulae
2. Count atoms of each element on both sides
3. Add coefficients (numbers in front) to balance
4. Never change subscripts (the numbers in formulae) — only add coefficients
5. Check: each element has the same count on both sides

Example: Burning magnesium
Unbalanced: Mg + O₂ → MgO
• Left: 1 Mg, 2 O
• Right: 1 Mg, 1 O (not balanced)
Add coefficient 2 to MgO:
2Mg + O₂ → 2MgO
• Left: 2 Mg, 2 O
• Right: 2 Mg, 2 O ✓ Balanced

Example: Combustion of ethane
Unbalanced: C₂H₆ + O₂ → CO₂ + H₂O
• C: 2 on left, 1 on right → need 2 CO₂
• H: 6 on left, 2 on right → need 3 H₂O
• O: need to check with new coefficients
C₂H₆ + O₂ → 2CO₂ + 3H₂O
• O on right: (2×2) + (3×1) = 7. Need 7/2 = 3.5 O₂
2C₂H₆ + 7O₂ → 4CO₂ + 6H₂O (multiply by 2 to avoid fractions)

State Symbols — Essential for Exam Points

Always include state symbols in equations:

• (s) = solid
• (l) = liquid
• (g) = gas
• (aq) = aqueous (dissolved in water)

Example: Magnesium burns in oxygen:
2Mg(s) + O₂(g) → 2MgO(s)

In IGCSE, equations without state symbols often lose marks. Always include them.

Relative Atomic Mass (Ar) and Relative Molecular Mass (Mr)

Relative atomic mass (Ar): The mass of an atom relative to 1/12 of a carbon-12 atom. It's a dimensionless number, but numerically equal to the atomic mass in g/mol. Common values you should know:

• H = 1, C = 12, N = 14, O = 16, Na = 23, Mg = 24, S = 32, Cl = 35.5, K = 39, Ca = 40

Relative molecular mass (Mr): The sum of the relative atomic masses of all atoms in a molecule.

Example: Calculate Mr of H₂SO₄
Mr = (2 × 1) + 32 + (4 × 16) = 2 + 32 + 64 = 98

The Mole Concept — Central to All Calculations

Definition: A mole is a quantity equal to Avogadro's constant, 6.02 × 10²³ particles (atoms, molecules, electrons, ions, etc.).

Why is this useful? It converts between the particle level (tiny, uncountable) and the lab level (grams, volumes). One mole of any substance has a mass in grams numerically equal to its Mr:

• 1 mole of H₂ (Mr = 2) = 2 g
• 1 mole of O₂ (Mr = 32) = 32 g
• 1 mole of H₂SO₄ (Mr = 98) = 98 g

Key formula: n = m / Mr
where n = number of moles, m = mass in grams, Mr = relative molecular mass

Example: How many moles are in 24 g of carbon? (Ar of C = 12)
n = 24 / 12 = 2 moles

Stoichiometry — Using Equations to Calculate Amounts

Once you know the mole ratio from a balanced equation, you can calculate how much of each reactant or product is involved.

Example: 2Mg + O₂ → 2MgO
The equation tells us: 2 moles of Mg react with 1 mole of O₂ to produce 2 moles of MgO.
• If you have 3 moles of Mg, you'll need 1.5 moles of O₂
• If 2 moles of O₂ react, then 4 moles of Mg reacted and 4 moles of MgO formed

Reacting mass calculation:
If 4.8 g of Mg reacts with excess O₂, how much MgO is produced?
• First, find moles of Mg: n = 4.8 / 24 = 0.2 moles
• Use equation ratio: 2 Mg → 2 MgO, so 0.2 moles Mg → 0.2 moles MgO
• Find mass of MgO: Mr of MgO = 24 + 16 = 40. Mass = 0.2 × 40 = 8 g

Limiting Reactants

Often one reactant runs out first. The one that runs out first is the limiting reactant — it limits how much product can form.

Example: 2H₂ + O₂ → 2H₂O
If you have 5 g H₂ and 16 g O₂, which runs out first?
• Moles of H₂: 5 / 2 = 2.5 moles
• Moles of O₂: 16 / 32 = 0.5 moles
• Equation ratio: 2 H₂ : 1 O₂. If we use all 0.5 moles O₂, we need 1 mole H₂
• We have 2.5 moles H₂, but only need 1, so O₂ is the limiting reactant
• Water produced: 0.5 × 2 = 1 mole = 18 g (Mr of H₂O = 18)

Molar Gas Volume

At room temperature and pressure (rtp): 1 mole of any gas occupies 24 dm³ (or 24 L).

Example: How much space does 2 moles of CO₂ occupy at rtp?
Volume = 2 × 24 = 48 dm³

Reverse calculation: What volume of oxygen gas is needed to react with 1.2 g of carbon?
C + O₂ → CO₂
• Moles of C: 1.2 / 12 = 0.1 moles
• Moles of O₂ needed: 0.1 moles (1:1 ratio)
• Volume of O₂: 0.1 × 24 = 2.4 dm³

Concentration — Two Ways to Express It

Concentration in g/dm³: grams of solute per dm³ of solution
Example: "This solution contains 5 g/dm³ of salt" means 5 g of salt dissolved in enough water to make 1 dm³ total.

Concentration in mol/dm³ (molarity): moles of solute per dm³
Formula: concentration (mol/dm³) = n / V
where n = moles and V = volume in dm³

Converting between them:
If a solution has concentration 2 mol/dm³ of NaCl (Mr = 58.5), what's the concentration in g/dm³?
• In 1 dm³, there are 2 moles of NaCl
• Mass = 2 × 58.5 = 117 g
• Concentration = 117 g/dm³

Titration Calculations

Titrations measure unknown concentrations by reacting a known volume/concentration of one substance with an unknown quantity of another.

Example: HCl vs. NaOH
25 cm³ (0.025 dm³) of NaOH solution was neutralized by 20 cm³ of 0.5 mol/dm³ HCl.
Find the concentration of NaOH.
• Equation: HCl + NaOH → NaCl + H₂O (1:1 ratio)
• Moles of HCl: 0.5 × 0.020 = 0.01 moles
• Moles of NaOH: 0.01 moles (1:1)
• Concentration of NaOH: 0.01 / 0.025 = 0.4 mol/dm³

Percentage Yield

In real reactions, you never get the theoretical amount. Percentage yield tells you how efficient a reaction was.

Formula: % yield = (actual mass / theoretical mass) × 100

Example: Reaction between Cu and O₂ produces CuO. Theory predicts 8 g of CuO, but you only get 6.4 g.
% yield = (6.4 / 8) × 100 = 80%

Percentage Composition

What percentage of a compound's mass is due to a particular element?

Formula: % by mass = (Ar × number of atoms) / Mr × 100

Example: H₂SO₄
• Mr = 98
• % S = (32 / 98) × 100 = 32.7%
• % H = (2 / 98) × 100 = 2.0%
• % O = (64 / 98) × 100 = 65.3%

Percentage Purity

Real samples are often impure. Percentage purity tells you what fraction is the desired substance.

Formula: % purity = (mass of pure substance / total mass) × 100

Example: A 50 g sample of iron ore contains 40 g of pure iron.
% purity = (40 / 50) × 100 = 80%

📝 Definitions Bank (click to reveal)

These definitions use the exact wording expected in IGCSE mark schemes. Click each term to reveal.

Molecular formula +
The actual number of atoms of each element present in one molecule of a compound.
Empirical formula +
The simplest whole number ratio of atoms of each element present in a compound.
Relative atomic mass (Ar) +
The mass of an atom compared to one-twelfth of the mass of a carbon-12 atom. It is a dimensionless quantity but numerically equal to the atomic mass in g/mol.
Relative molecular mass (Mr) +
The sum of the relative atomic masses of all atoms in a molecule.
Mole +
A unit of amount of substance equal to 6.02 × 10²³ particles (atoms, molecules, ions, or electrons).
Avogadro constant +
The number of particles (atoms, molecules, ions, or electrons) in one mole of a substance, equal to 6.02 × 10²³ mol⁻¹.
Molar mass +
The mass of one mole of a substance, numerically equal to the Mr in grams per mole (g/mol).
Concentration +
The amount of solute per unit volume of solution, expressed as g/dm³ or mol/dm³.
State symbol +
A notation used in chemical equations to indicate the physical state of a substance: (s) for solid, (l) for liquid, (g) for gas, and (aq) for aqueous.
Balanced equation +
A chemical equation where the number of atoms of each element is the same on both the reactant and product sides.
Ionic equation +
A chemical equation that shows only the ions and molecules that actually participate in a reaction, excluding spectator ions.
Limiting reactant +
The reactant that is completely consumed in a chemical reaction, determining the maximum amount of product that can form.
Percentage yield +
The percentage of the theoretical amount of product that is actually obtained: (actual/theoretical) × 100.
Percentage purity +
The percentage of a sample that is the desired pure substance: (mass of pure/total mass) × 100.
📐 Formulae & Equations
n = m / Mr
n = number of moles
m = mass in grams
Mr = relative molecular mass
Use when: Converting between mass and moles.
Mr = sum of all Ar values
Use when: Calculating relative molecular mass from a formula.
Volume of gas (dm³) = n × 24
n = number of moles
Use when: Finding volume of a gas at rtp (room temperature and pressure).
Concentration (mol/dm³) = n / V
n = number of moles
V = volume in dm³
Use when: Calculating concentration from moles and volume.
Concentration (g/dm³) = mass / V
mass = mass of solute in grams
V = volume in dm³
Use when: Expressing concentration by mass per volume.
% yield = (actual mass / theoretical mass) × 100
Use when: Calculating how efficient a reaction was.
% composition = (Ar × number of atoms / Mr) × 100
Use when: Finding what percentage of a compound's mass is a particular element.
% purity = (mass of pure / total mass) × 100
Use when: Determining purity of a sample.
✏️ Worked Examples (IGCSE Exam Style)
3 marks

Balance this equation and include state symbols:
C + O₂ → CO₂

✓ Balanced equation: C(s) + O₂(g) → CO₂(g) [1 mark for balance]

✓ State symbols included: (s), (g), (g) [1 mark]

✓ Each element has the same number of atoms on both sides: C: 1 on each; O: 2 on each [1 mark for explanation]

3 marks

Calculate the relative molecular mass (Mr) of sulfuric acid, H₂SO₄.
(Use: H = 1, S = 32, O = 16)

Mr = (2 × 1) + 32 + (4 × 16)

✓ Mr = 2 + 32 + 64 [1 mark for substitution]

✓ Mr = 98 [1 mark for correct answer]

✓ Units: Mr is relative (no units) [1 mark for understanding]

4 marks

Calculate how many moles are in 12 g of carbon dioxide (CO₂).
(Use: C = 12, O = 16)

Step 1: Calculate Mr of CO₂

Mr = 12 + (2 × 16) = 12 + 32 = 44

✓ Mr = 44 [1 mark]

Step 2: Use n = m / Mr

n = 12 / 44 = 0.273 moles (or 3/11 moles)

✓ Correct formula and substitution [1 mark]

✓ n = 0.27 moles (to 2 sig figs) [1 mark for correct answer]

✓ Appropriate significant figures [1 mark]

5 marks

In a reaction, 4.8 g of magnesium burns in oxygen to form magnesium oxide. Calculate the mass of magnesium oxide produced.
(Use: Mg = 24, O = 16)

Step 1: Write and balance the equation

✓ 2Mg + O₂ → 2MgO [1 mark]

Step 2: Calculate moles of Mg

n = 4.8 / 24 = 0.2 moles

✓ Correct calculation [1 mark]

Step 3: Use stoichiometry

From equation: 2 moles Mg → 2 moles MgO
0.2 moles Mg → 0.2 moles MgO

✓ Correct mole ratio [1 mark]

Step 4: Calculate mass of MgO

Mr of MgO = 24 + 16 = 40
Mass = 0.2 × 40 = 8 g

✓ Correct Mr and mass calculation [1 mark]

✓ Final answer: 8 g [1 mark]

4 marks

Calculate the percentage composition of carbon in CO₂.
(Use: C = 12, O = 16)

Step 1: Calculate Mr of CO₂

Mr = 12 + (2 × 16) = 44

✓ Mr = 44 [1 mark]

Step 2: Apply percentage formula

% C = (Ar × atoms) / Mr × 100 = (12 × 1) / 44 × 100

✓ Correct formula and substitution [1 mark]

% C = 12/44 × 100 = 27.3%

✓ Correct calculation [1 mark]

✓ Final answer: 27.3% (or 27%) [1 mark]

❓ Practice Questions (10 Questions)
Q1
2 marks

Define the term "relative molecular mass" and state its units.

Q2
2 marks

What is the empirical formula of a compound with molecular formula C₆H₁₂?

Q3
3 marks

Balance this equation and include state symbols: Fe + O₂ → Fe₂O₃

Q4
2 marks

Write the formula of calcium carbonate using the ion charges method. (Ca²⁺ and CO₃²⁻)

Q5
3 marks

Calculate the Mr of sodium nitrate (NaNO₃). (Use: Na = 23, N = 14, O = 16)

Q6
3 marks

Calculate how many moles are in 6.4 g of oxygen gas (O₂). (O = 16)

Q7
3 marks

What volume (in dm³) would 0.5 moles of hydrogen gas occupy at room temperature and pressure?

Q8
3 marks

A solution contains 0.1 mol/dm³ of hydrochloric acid. Calculate the concentration in g/dm³. (H = 1, Cl = 35.5)

Q9
3 marks

A reaction theoretically produces 20 g of product, but actually produces 16 g. Calculate the percentage yield.

Q10
4 marks

In the reaction 2H₂ + O₂ → 2H₂O, what is the limiting reactant if 6 g of H₂ and 20 g of O₂ are mixed? Show your calculations.

⚠️ Common Mistakes & How to Avoid Them
Mistake 1: Changing subscripts when balancing equations.
Why wrong: The formula (with subscripts) defines the substance. If you change H₂O to H₂O₂, you've written a different compound (hydrogen peroxide instead of water). The equation is no longer correct.
How to fix it: Only change the coefficients (numbers in front). Leave all subscripts as they are. Balance by adjusting: 1H₂O vs. 2H₂O vs. 3H₂O, never by changing to H₂O₂.
Mistake 2: Forgetting state symbols in equations.
Why wrong: State symbols are required in IGCSE. An equation without them is incomplete and loses marks.
How to fix it: Always add (s), (l), (g), or (aq) to every substance in the equation before you finish.
Mistake 3: Confusing Mr with molar mass and using wrong units.
Why wrong: Mr is a ratio with no units. Molar mass is mass per mole (g/mol). They're numerically the same but different concepts. If you say "Mr = 44 g/mol," you're mixing terminology.
How to fix it: Say "Mr = 44" (dimensionless). Say "Molar mass = 44 g/mol." Be precise with language.
Mistake 4: Using the wrong volume-to-mole conversion.
Why wrong: At rtp, 1 mole of gas = 24 dm³. Some students try to use 22.4 L (which is at 25°C and 1 atm) or other incorrect values. The exam specifies rtp → 24 dm³.
How to fix it: Memorize: 1 mole gas at rtp = 24 dm³ = 24 L = 24,000 cm³. Use 24 unless the question specifies different conditions.
Mistake 5: Forgetting to balance when deducing formulae.
Why wrong: If Ca²⁺ and Cl⁻ need to form a compound, students sometimes write CaCl instead of CaCl₂. They didn't balance charges: Ca²⁺ needs 2 Cl⁻ ions to neutralize.
How to fix it: Always balance charges: cation charge = anion charge (in magnitude). Ca²⁺ + Cl⁻ + Cl⁻ → CaCl₂.
🎯 Exam Strategy & Tips

Balancing equations — the systematic way:

1. Start with the most complex compound (usually the one with the most atoms)
2. Balance that first
3. Move to the next element
4. Balance oxygen last (if it appears in multiple compounds)
5. Never use fractions — multiply the entire equation to make all coefficients whole numbers
Example: P + O₂ → P₂O₅
• Start with P₂O₅: need 2 P, so 2P on left
• That needs (2×5)/2 = 5 O₂ on left
• 4P + 5O₂ → 2P₂O₅ ✓

Mole calculations — always follow these steps:

1. Write the balanced equation
2. Calculate Mr (if not given)
3. Convert mass to moles using n = m/Mr
4. Use the equation ratios to find moles of product/other reactant
5. Convert moles back to mass or volume
6. Always show units and significant figures
Always work in moles as an intermediate step — never try to go directly from mass to mass.

Limiting reactant problems:

1. Calculate moles of EACH reactant
2. Divide each by its coefficient in the equation
3. The smallest answer is the limiting reactant
4. Use only that reactant to calculate the product
Example: 3H₂ + N₂ → 2NH₃. If 6 mol H₂ and 2 mol N₂:
• H₂: 6/3 = 2
• N₂: 2/1 = 2
• Both are equal — neither is limiting. Both react completely.

Titration tip:

Always write the balanced equation first to see the mole ratio. Then use:
n₁V₁ = n₂V₂ (for equal ratios)
or multiply through by the ratio if it's not 1:1
Remember: 1 dm³ = 1000 cm³, so convert volumes carefully.

Percentage yield reminder:

Never confuse "actual" with "theoretical":
Theoretical: calculated from the stoichiometry, assuming reaction goes to completion
Actual: measured in the lab (often less because reactions don't always go to completion)
% yield is always ≤ 100%. If you get >100%, you've made an error.

5. Chemical Energetics (Section 5.1)

📋 Syllabus Checklist

Tick off each objective as you master it. These are the exact learning objectives from the Cambridge 0620 Chemistry syllabus (2026-2028).

📖 Key Concepts — In Depth

Exothermic vs Endothermic: The Energy Story

Every chemical reaction involves energy. Some reactions release energy (warming the surroundings), while others absorb energy (cooling the surroundings). This is the core idea of chemical energetics.

Exothermic reactions release thermal energy. Think of combustion: when you burn petrol or wood, heat is released. The surroundings warm up. Everyday exothermic reactions include rusting of iron, neutralisation of acids with bases, and explosions.

Endothermic reactions absorb thermal energy from the surroundings. Examples: melting ice (requires heat), evaporation, photosynthesis, and instant cold packs used in first aid. The surroundings cool down.

Quick way to remember: EXO = release (like "exit"). ENDO = absorb (like "enter"). In an endothermic reaction, energy enters from the surroundings.

Reaction Pathway Diagrams (Energy Diagrams)

A reaction pathway diagram shows the energy of reactants, products, and the transition state. The vertical axis is energy (or enthalpy), and the horizontal axis represents the reaction progress.

For an exothermic reaction: The products are at a lower energy level than the reactants. The reaction pathway goes down. ΔH is negative (energy is released).

For an endothermic reaction: The products are at a higher energy level than the reactants. The reaction pathway goes up. ΔH is positive (energy is absorbed).

The activation energy (Ea) is the energy "hump" that must be overcome for the reaction to proceed. It's the minimum collision energy needed. Even if a reaction is exothermic overall, it still needs activation energy to get started.

Reading a diagram: Draw a vertical arrow from reactants to the peak = activation energy (Ea). Draw a vertical arrow from reactants to products = enthalpy change (ΔH). If products are lower, ΔH is negative. If products are higher, ΔH is positive.

Enthalpy Change (ΔH)

Enthalpy (H) is the total heat content of a substance. Enthalpy change (ΔH) is the difference between the enthalpy of products and enthalpy of reactants.

ΔH = H(products) − H(reactants)

If ΔH is negative (exothermic), energy has been released — the products have less energy stored than the reactants. If ΔH is positive (endothermic), energy has been absorbed — the products have more energy than the reactants.

Bond Energy and Why Reactions Release or Absorb Energy

Every chemical bond contains energy. Breaking a bond requires energy (endothermic process). Making a bond releases energy (exothermic process).

The net energy change in a reaction depends on which wins: the energy needed to break bonds in reactants, or the energy released when making new bonds in products.

ΔH = Energy to break bonds − Energy to make bonds

If more energy is released in making bonds than required to break bonds, the reaction is exothermic (ΔH negative). If more energy is needed to break bonds than released in making bonds, the reaction is endothermic (ΔH positive).

Common confusion: "Breaking a bond releases energy" — NO! Breaking bonds REQUIRES energy (endothermic). Making bonds RELEASES energy (exothermic). Remember: break = up, make = down.

Practical Examples in Chemistry

Combustion: Burning fuel (exothermic). The fuel molecules break apart (requires energy), but the products (CO₂ and H₂O) form with strong bonds, releasing much more energy than was needed. Overall: highly exothermic.

Neutralisation: Acid + base → salt + water (exothermic). Even though it seems "small", neutralisation always releases a measurable amount of heat (about 57 kJ per mole of water formed in dilute solutions).

Evaporation: Liquid → gas (endothermic). Breaking intermolecular forces requires energy. This is why sweating cools you down — the energy to evaporate sweat comes from your skin.

📝 Definitions Bank (click to reveal)
Exothermic reaction +
A reaction that releases thermal energy to the surroundings, causing the temperature of the surroundings to increase. ΔH is negative.
Endothermic reaction +
A reaction that absorbs thermal energy from the surroundings, causing the temperature of the surroundings to decrease. ΔH is positive.
Enthalpy (H) +
The total heat energy content of a substance at constant pressure.
Enthalpy change (ΔH) +
The difference between the enthalpy of products and the enthalpy of reactants. ΔH = H(products) − H(reactants). Measured in kJ/mol.
Activation energy (Ea) +
The minimum energy required for reactant particles to collide and react. It is the energy barrier that must be overcome for a reaction to occur.
Bond energy +
The energy required to break one mole of a covalent bond between two atoms in a gaseous state. Measured in kJ/mol.
Reaction pathway diagram +
A diagram showing the energy of reactants, products, and the transition state during a chemical reaction. The vertical axis is energy; horizontal is reaction progress.
Catalysis +
The process of increasing the rate of a reaction by providing an alternative pathway with lower activation energy. A catalyst is not consumed in the reaction.
Transition state +
The highest-energy point along a reaction pathway, where bonds are breaking and forming. The activation energy is the energy difference between reactants and the transition state.
📐 Formulae & Equations
ΔH = Energy to break bonds − Energy to make bonds
ΔH = enthalpy change (kJ/mol)
Use when: Calculating the overall energy change in a reaction from bond energies.
ΔH = H(products) − H(reactants)
ΔH < 0 = exothermic (energy released)
ΔH > 0 = endothermic (energy absorbed)
✏️ Worked Examples (IGCSE Exam Style)
3 marks

Calculate the enthalpy change for the reaction: H₂ + Cl₂ → 2HCl

Bond energies: H–H = 436 kJ/mol, Cl–Cl = 244 kJ/mol, H–Cl = 432 kJ/mol

Step 1: Identify bonds broken (energy required)

H–H: 436 kJ/mol
Cl–Cl: 244 kJ/mol
Total energy to break bonds = 436 + 244 = 680 kJ/mol [1 mark]

Step 2: Identify bonds made (energy released)

2 × H–Cl = 2 × 432 = 864 kJ/mol [1 mark]

Step 3: Calculate ΔH

ΔH = 680 − 864 = −184 kJ/mol [1 mark]

The reaction is exothermic (ΔH negative). More energy is released making HCl bonds than required to break H₂ and Cl₂ bonds.

2 marks

Explain why combustion reactions are always exothermic, even though breaking bonds requires energy.

✓ Breaking bonds in fuel molecules requires energy (endothermic). [1 mark]

✓ Making bonds in products (CO₂ and H₂O) releases more energy than required to break reactant bonds. [1 mark]

The net result is that energy is released, making the reaction exothermic (ΔH negative).

3 marks

A student plots a reaction pathway diagram for an exothermic reaction with a catalyst.

(a) How does the diagram show the reaction is exothermic? [1]

(b) How does the catalyst appear on the diagram? [1]

(c) What does the activation energy represent? [1]

(a) The products are at a lower energy than the reactants / the pathway goes downward. [1 mark]

(b) The catalyst lowers the activation energy / the peak of the pathway is lower when catalyst is present. [1 mark]

(c) The activation energy is the minimum energy required for particles to collide and react / the energy difference between reactants and the transition state. [1 mark]

2 marks

Describe an exothermic reaction and an endothermic reaction, using temperature change as evidence.

✓ Exothermic reaction releases energy to the surroundings, causing the temperature to increase. Example: combustion of methane or neutralisation of acid with alkali. [1 mark]

✓ Endothermic reaction absorbs energy from the surroundings, causing the temperature to decrease. Example: evaporation, dissolving ammonium nitrate in water, or thermal decomposition. [1 mark]

⚠️ Common Mistakes & Examiner Notes
Mistake 1: Confusing bond breaking (endothermic) with bond making (exothermic)
Many students write "breaking bonds releases energy". This is wrong. Breaking bonds REQUIRES energy (endothermic). Making bonds RELEASES energy (exothermic).
Mistake 2: Not including ALL bonds in the calculation
When calculating ΔH from bond energies, count every bond broken in reactants and every bond made in products. For example, in H₂ + Cl₂ → 2HCl, make sure to count: 1 H–H + 1 Cl–Cl broken, and 2 H–Cl formed.
Mistake 3: Getting the sign of ΔH wrong
If energy to break bonds (680 kJ) is less than energy to make bonds (864 kJ), then ΔH = 680 − 864 = −184 (exothermic). If you get a negative value, the reaction is exothermic, even if you feel confused. Don't change the sign!
Mistake 4: Confusing ΔH with Ea on a diagram
ΔH is the vertical distance from reactants to products. Ea is the vertical distance from reactants to the peak. A catalyst lowers Ea but does NOT change ΔH (the position of products stays the same).
Mistake 5: Thinking endothermic reactions never happen
Even though endothermic reactions absorb energy, they do occur naturally. Evaporation happens at room temperature despite absorbing heat. An endothermic reaction doesn't need to be spontaneous — many absorb heat but are driven by entropy increases.
🎯 Practice Questions & Quiz
Q11 mark

Which of the following is an exothermic reaction?

  • A. Melting ice
  • B. Combustion of methane
  • C. Evaporation of water
  • D. Thermal decomposition of calcium carbonate
Q22 marks

Calculate ΔH for: N₂ + 3H₂ → 2NH₃. Bond energies: N≡N = 945, H–H = 436, N–H = 392 kJ/mol

Q32 marks

What is meant by activation energy?

Q41 mark

Which sign indicates an endothermic reaction?

  • A. ΔH = −120 kJ/mol
  • B. ΔH = +120 kJ/mol
  • C. ΔH = 0 kJ/mol
  • D. ΔH = −0.5 kJ/mol
Q53 marks

Explain why a catalyst increases the rate of reaction but does not affect ΔH.

Q61 mark

In a reaction pathway diagram for an endothermic reaction, where are the products positioned relative to the reactants?

  • A. At the same energy level
  • B. Lower than the reactants
  • C. Higher than the reactants
  • D. At the peak of the curve
Q72 marks

Calculate ΔH for: CH₄ + 2O₂ → CO₂ + 2H₂O. Bond energies: C–H = 413, O=O = 498, C=O = 799, O–H = 467 kJ/mol

Q82 marks

Explain why a cold pack containing ammonium nitrate gets cold when activated.

Q91 mark

Which process involves breaking chemical bonds and is endothermic?

  • A. Condensation
  • B. Thermal decomposition
  • C. Freezing
  • D. Combustion
Q102 marks

Compare the effect of a catalyst on activation energy and on enthalpy change. Which one does it affect?

💡 Exam Strategy & Tips

1. Always Show Bond Counting in Calculations

When calculating ΔH from bond energies, explicitly write out which bonds you're counting. This earns marks even if your final answer is wrong.

2. Use Reaction Pathway Diagrams to Communicate

If asked "explain why this is exothermic", sketch a diagram showing products lower than reactants. A diagram is worth explanation time — examiners award marks for correct diagrams.

3. Remember: More Energy Out = Exothermic (Negative ΔH)

If the reaction releases more energy than it uses, the overall change is negative. This is counterintuitive to some — but the mnemonic helps: exothermic = "exit" = "−" (negative).

4. Be Precise About Temperature Changes

Exothermic = surroundings get hotter (temperature increases). Endothermic = surroundings get cooler (temperature decreases). Use these exact phrases in exam answers.

6. Acids and Bases (Sections 7.1, 7.2)

📋 Syllabus Checklist

Tick off each objective as you master it.

📖 Key Concepts — In Depth

What Are Acids and Bases?

At the most fundamental level: acids donate protons (H⁺), bases accept protons. This is the Brønsted-Lowry definition.

When hydrochloric acid (HCl) dissolves in water, it completely breaks apart: HCl → H⁺ + Cl⁻. The H⁺ ion (a proton) is what makes it acidic. When sodium hydroxide (NaOH) dissolves, it releases OH⁻ ions, which accept protons: OH⁻ + H⁺ → H₂O. The OH⁻ is what makes it basic (alkaline).

Strong vs Weak Acids

Strong acids completely dissociate in water. Examples: HCl, HBr, HI, HNO₃, H₂SO₄, HClO₄.

When you dissolve HCl in water, 100% of the HCl molecules break into H⁺ and Cl⁻. There are no HCl molecules left in solution.

Weak acids partially dissociate. Example: acetic acid (CH₃COOH, found in vinegar).

When you dissolve CH₃COOH in water, only a tiny fraction (maybe 1%) breaks into H⁺ and CH₃COO⁻. Most of it remains as intact CH₃COOH molecules. This is shown as a reversible reaction with ⇌:
CH₃COOH ⇌ H⁺ + CH₃COO⁻

Why does this matter? A weak acid produces fewer H⁺ ions than a strong acid of the same concentration. So a 0.1 M HCl solution is much more acidic (lower pH) than a 0.1 M CH₃COOH solution.

The pH Scale

pH measures the concentration of H⁺ ions. The scale runs from 0 (very acidic) to 14 (very alkaline), with 7 being neutral (pure water).

pHDescription
0–3Strong acid
4–6Weak acid
7Neutral
8–10Weak alkali
11–14Strong alkali

A universal indicator changes colour gradually across the pH range, allowing you to estimate pH. Litmus is simpler: red in acid, blue in alkali.

Acid Reactions

With metals (less reactive than hydrogen):
Acid + metal → salt + hydrogen gas
2HCl + Mg → MgCl₂ + H₂↑

With bases (metal oxides/hydroxides):
Acid + base → salt + water (neutralisation)
2HCl + CuO → CuCl₂ + H₂O

With carbonates:
Acid + carbonate → salt + water + carbon dioxide
2HCl + CaCO₃ → CaCl₂ + H₂O + CO₂↑

Base Reactions

With acids:
This is neutralisation. The ionic equation is always:
H⁺(aq) + OH⁻(aq) → H₂O(l)

With ammonium salts (containing NH₄⁺):
Warm alkali + ammonium salt → ammonia gas + water + salt
2NaOH + 2NH₄Cl → 2NH₃↑ + 2NaCl + 2H₂O
Or in ionic form: OH⁻(aq) + NH₄⁺(aq) → NH₃(g) + H₂O(l)

Indicators

IndicatorIn acidIn alkali
LitmusRedBlue
Methyl orangeRedYellow
ThymolphthaleinColourlessBlue
📝 Definitions Bank (click to reveal)
Acid +
A substance that donates a proton (H⁺) to another substance. Acids are sour, conduct electricity in solution, and have pH < 7.
Base +
A substance that accepts a proton (H⁺) from an acid. Bases include metal oxides and metal hydroxides.
Alkali +
A soluble base that releases OH⁻ ions in solution. Examples: NaOH, KOH, NH₃ solution.
Strong acid +
An acid that completely dissociates in water, releasing all its hydrogen ions. Examples: HCl, H₂SO₄, HNO₃.
Weak acid +
An acid that partially dissociates in water, with only a small fraction of molecules releasing hydrogen ions. Example: CH₃COOH (acetic acid).
Neutralisation +
A reaction between an acid and a base that produces a salt and water. The ionic equation is H⁺(aq) + OH⁻(aq) → H₂O(l).
pH scale +
A scale measuring acidity and alkalinity, from 0 (very acidic) to 14 (very alkaline), with 7 being neutral.
Indicator +
A substance that changes colour depending on the pH of a solution. Examples: litmus, methyl orange, universal indicator.
Dissociation +
The process by which an ionic compound breaks apart into its ions in solution. Strong electrolytes dissociate completely; weak electrolytes dissociate partially.
Proton +
A hydrogen nucleus (H⁺ ion). In Brønsted-Lowry theory, acids are proton donors and bases are proton acceptors.
Amphoteric oxide +
An oxide that can react with both acids and bases. Examples: Al₂O₃, ZnO.
Acidic oxide +
An oxide that dissolves in water to form an acidic solution or reacts with bases. Examples: CO₂, SO₂.
📐 Formulae & Equations
H⁺(aq) + OH⁻(aq) → H₂O(l)
Neutralisation ionic equation
This is the key equation for all acid-base neutralisations in aqueous solution.
Acid + Metal → Salt + Hydrogen gas
Example: 2HCl + Zn → ZnCl₂ + H₂↑
Acid + Base → Salt + Water
Example: HCl + NaOH → NaCl + H₂O
Acid + Carbonate → Salt + Water + CO₂
Example: 2HCl + CaCO₃ → CaCl₂ + H₂O + CO₂↑
✏️ Worked Examples
3 marks

Write the balanced equation: hydrochloric acid + calcium carbonate

✓ 2HCl + CaCO₃ → CaCl₂ + H₂O + CO₂ [3 marks]

2 marks

Explain the difference between a strong acid and a weak acid.

✓ Strong acid completely dissociates; weak acid only partially dissociates (reversible). [2 marks]

3 marks

Write the balanced equation and ionic equation for: nitric acid + copper oxide

✓ Balanced equation: 2HNO₃ + CuO → Cu(NO₃)₂ + H₂O [1 mark]

✓ Ionic equation: H⁺(aq) + OH⁻(aq) → H₂O(l) [2 marks for correct simplified ionic equation]

2 marks

Warm sodium hydroxide solution is added to a solution of ammonium chloride. Identify the gas produced and state how it can be detected.

✓ Gas produced is ammonia (NH₃). [1 mark]

✓ It can be detected by its pungent smell, or by holding damp red litmus paper above the solution which turns blue. [1 mark]

3 marks

A student adds universal indicator to three solutions (A, B, C) with pH values 2, 7, and 12 respectively. Describe the colour change observed.

✓ Solution A (pH 2): Red/pink colour - strongly acidic. [1 mark]

✓ Solution B (pH 7): Green colour - neutral. [1 mark]

✓ Solution C (pH 12): Blue/purple colour - strongly alkaline. [1 mark]

⚠️ Common Mistakes
Mistake 1: Confusing bases with alkalis
All alkalis are bases, but not all bases are alkalis. CuO is a base but not an alkali; NaOH is both.
Mistake 2: Forgetting to balance equations
Always balance atoms carefully. 2HCl + CaCO₃ needs the "2" in front of HCl.
Mistake 3: Mixing up weak acid notation
Weak acids use ⇌ (reversible); strong acids use → (complete).
🎯 Practice Questions
Q11 mark

What is an alkali?

  • A. Any substance that accepts protons
  • B. A soluble base that releases OH⁻ ions
  • C. Any substance that turns litmus blue
  • D. A salt formed from acid-base neutralisation
Q21 mark

What colour does litmus paper turn in the presence of an acid?

  • A. Red
  • B. Blue
  • C. Yellow
  • D. Colourless
Q32 marks

Write the balanced equation for: Sulfuric acid + Magnesium metal

Q41 mark

Which of the following is a proton donor?

  • A. A base
  • B. An acid
  • C. A salt
  • D. Water
Q52 marks

What products are formed when hydrochloric acid reacts with calcium carbonate?

Q61 mark

Which colour does methyl orange turn in an alkaline solution?

  • A. Red
  • B. Yellow
  • C. Blue
  • D. Colourless
Q72 marks

Explain the difference between a strong acid and a weak acid in terms of dissociation.

Q81 mark

What is the ionic equation for all acid-base neutralisation reactions?

Q92 marks

Write the balanced equation: Sodium hydroxide + Hydrochloric acid

Q102 marks

Describe what happens when a base reacts with an ammonium salt and explain the gas produced.

7. Preparation of Salts (Section 7.3)

📋 Syllabus Checklist
📖 Key Concepts

Four Methods to Prepare Soluble Salts

Method 1: Titration – Acid + alkali. Add acid dropwise until indicator changes colour. Evaporate filtrate.

Method 2: Excess Metal – Acid + excess Zn powder. Filter out excess metal. Evaporate.

Method 3: Excess Insoluble Base – Acid + excess CuO powder. Filter out excess base. Evaporate.

Method 4: Excess Insoluble Carbonate – Acid + excess CaCO₃ powder. Filter out excess. Evaporate.

Solubility Rules

CompoundSolubilityExceptions
All Na⁺, K⁺, NH₄⁺ saltsSolubleNone
All nitratesSolubleNone
ChloridesSolubleAgCl, PbCl₂
SulfatesSolubleBaSO₄, CaSO₄, PbSO₄
CarbonatesInsolubleNa₂CO₃, K₂CO₃, (NH₄)₂CO₃
HydroxidesInsolubleNaOH, KOH, Ca(OH)₂

Hydrated vs Anhydrous

Hydrated salts contain water bonded in the crystal (e.g., CuSO₄·5H₂O, blue).
Anhydrous salts contain no water (e.g., CuSO₄, white).
Water of crystallisation = water molecules bonded within the crystal structure.

Precipitation Method

Mix two soluble salts whose ions form an insoluble product. Filter, wash with distilled water, dry in oven.
Example: AgNO₃ + NaCl → AgCl↓ + NaNO₃

📝 Definitions
Salt +
A compound formed when an acid reacts with a base, metal, or carbonate.
Hydrated salt +
A salt that contains water molecules bonded within its crystal structure (e.g., CuSO₄·5H₂O).
Anhydrous salt +
A salt that contains no water molecules.
Water of crystallisation +
Water molecules bonded within the crystal structure of a hydrated salt (e.g., 5H₂O in CuSO₄·5H₂O).
Titration +
A procedure to determine concentration by adding a reagent of known concentration until the reaction endpoint is reached.
✏️ Worked Examples
3 marks

Describe preparation of pure NaCl by titrating HCl with NaOH.

✓ Measure NaOH into conical flask with indicator. [1 mark]

✓ Add HCl dropwise from burette until indicator changes. [1 mark]

✓ Evaporate solution to obtain NaCl crystals. [1 mark]

2 marks

Explain why copper sulfate crystals are blue but anhydrous copper sulfate is white.

✓ Blue crystals contain water of crystallisation (CuSO₄·5H₂O). Anhydrous CuSO₄ has no water. [2 marks]

🎯 Practice Questions
Q11 mark

Is BaSO₄ soluble or insoluble?

  • A. Soluble
  • B. Insoluble
  • C. Slightly soluble
  • D. It depends on temperature
Q21 mark

Which salt preparation method would you use to prepare an insoluble salt?

  • A. Titration
  • B. Crystallisation
  • C. Precipitation
  • D. Evaporation
Q32 marks

Describe the steps for preparing crystals of sodium chloride from sodium hydroxide and hydrochloric acid.

Q41 mark

What technique is used to separate insoluble crystals from a liquid?

  • A. Evaporation
  • B. Distillation
  • C. Filtration
  • D. Crystallisation
Q52 marks

State what is meant by the water of crystallisation in a salt crystal.

Q61 mark

What is the difference between a hydrated and an anhydrous salt?

  • A. Hydrated salts are soluble; anhydrous are not
  • B. Hydrated salts contain water of crystallisation; anhydrous do not
  • C. Hydrated salts are coloured; anhydrous are white
  • D. Hydrated salts are organic compounds; anhydrous are inorganic
Q72 marks

Why should crystals be washed with a small amount of cold distilled water during salt preparation?

Q81 mark

Which solubility rule is correct?

  • A. All nitrates are insoluble
  • B. All carbonates are soluble
  • C. All sulfates are soluble except barium sulfate
  • D. All hydroxides are soluble
Q92 marks

When preparing a salt by titration, how is the volume of acid required for neutralisation determined?

Q102 marks

Explain why a salt prepared from an excess of acid would contain impurities and how this is avoided.

8. The Periodic Table (Sections 8.1–8.5)

📋 Syllabus Checklist
📖 Key Concepts

The Periodic Table

Periods: Horizontal rows. Increasing proton number, new electron shell is filled.
Groups: Vertical columns. Same number of valence electrons = similar properties.

Trends Across a Period

Left to right: metallic → non-metallic character. Left = metal, middle = transition, right = non-metal, far right = noble gas (unreactive).

Group 1: Alkali Metals (Li, Na, K, Rb)

Properties: Soft, low density, shiny (tarnish quickly), 1 valence electron, form 1+ ions.
Trends down group: mp DECREASES, density varies, reactivity INCREASES.
Reaction: 2Na + 2H₂O → 2NaOH + H₂↑

Group 17: Halogens (F, Cl, Br, I)

Properties: Diatomic molecules (F₂, Cl₂, Br₂, I₂), 7 valence electrons, form 1− ions.
Appearance: Cl₂ = pale yellow-GREEN gas, Br₂ = RED-BROWN liquid, I₂ = GREY-BLACK solid.
Trends down group: density ↑, reactivity ↓, boiling point ↑
Displacement: Cl₂ + 2NaBr → 2NaCl + Br₂ (more reactive displaces less reactive)

Transition Metals

Characteristics: High density, high mp, form coloured compounds, catalysts, variable oxidation numbers (e.g., Fe²⁺/Fe³⁺).

Group 18: Noble Gases

Characteristics: Monatomic, full valence shell (8 electrons, except He = 2), completely unreactive under normal conditions. Explain: full shell = no tendency to gain/lose electrons.

📝 Definitions
Period +
A horizontal row in the Periodic Table. Period number = number of electron shells.
Group +
A vertical column in the Periodic Table. Elements in same group have same valence electrons and similar properties.
Valence electrons +
Electrons in the outermost shell. These determine chemical properties.
Alkali metals +
Highly reactive metals in Group 1 (Li, Na, K, Rb, Cs). Soft, low density, form 1+ ions.
Halogens +
Highly reactive non-metals in Group 17 (F, Cl, Br, I, At). Diatomic, form 1− ions.
Transition metals +
Metallic elements in the middle block (Groups 3–12). High density, high mp, coloured compounds, catalysts.
Noble gases +
Unreactive gaseous elements in Group 18 (He, Ne, Ar, Kr, Xe, Rn). Full valence shell.
Displacement reaction +
A reaction where a more reactive element displaces a less reactive element from a compound. Example: Cl₂ + 2NaBr → 2NaCl + Br₂.
📐 Formulae & Equations
2Na + 2H₂O → 2NaOH + H₂↑
Alkali metal + water reaction
Cl₂ + 2NaBr → 2NaCl + Br₂
More reactive halogen displaces less reactive halogen
F₂ > Cl₂ > Br₂ > I₂ (reactivity)
Halogen reactivity DECREASES down Group 17
Li < Na < K < Rb (reactivity)
Alkali metal reactivity INCREASES down Group 1
✏️ Worked Examples
2 marks

Explain why bromine is less reactive than chlorine.

✓ Both in Group 17; Cl above Br in group. [1 mark]

✓ Down group, atomic size increases, valence electrons further from nucleus, weaker attraction, harder to gain electron. Cl (smaller) is more reactive. [1 mark]

3 marks

Chlorine can displace bromine from potassium bromide solution. Write the balanced equation and explain why this happens.

✓ Balanced equation: Cl₂ + 2KBr → 2KCl + Br₂ [1 mark]

✓ Chlorine is more reactive than bromine (higher up Group VII) [1 mark].

✓ Chlorine readily gains electrons (is a strong oxidising agent) and displaces less reactive halogens [1 mark].

2 marks

Explain why sodium has a lower melting point (97.8°C) compared to lithium (180°C) in Group I.

✓ The metallic bonding in the alkali metals becomes weaker down the group [1 mark].

✓ Atoms are larger; valence electrons are further from the nucleus and less strongly attracted, resulting in weaker metallic bonding and lower melting point [1 mark].

2 marks

Write the equation: potassium + water

✓ 2K + 2H₂O → 2KOH + H₂↑ [2 marks]

Q33 marks

Chlorine displaces bromine from KBr solution: (a) Write equation [1] (b) Explain why [1] (c) State colour of Br₂ [1]

(a) Cl₂ + 2KBr → 2KCl + Br₂ [1 mark]

(b) Cl more reactive than Br (higher in Group 17). [1 mark]

(c) Red-brown liquid. [1 mark]

3 marks

Chlorine can displace bromine from potassium bromide solution. Write the balanced equation and explain why this happens.

✓ Balanced equation: Cl₂ + 2KBr → 2KCl + Br₂ [1 mark]

✓ Chlorine is more reactive than bromine (higher up Group VII) [1 mark].

✓ Chlorine readily gains electrons (is a strong oxidising agent) and displaces less reactive halogens [1 mark].

2 marks

Explain why sodium has a lower melting point (97.8°C) compared to lithium (180°C) in Group I.

✓ The metallic bonding in the alkali metals becomes weaker down the group [1 mark].

✓ Atoms are larger; valence electrons are further from the nucleus and less strongly attracted, resulting in weaker metallic bonding and lower melting point [1 mark].

🎯 Practice Questions
Q11 mark

Which element is a transition metal?

  • A. Sodium
  • B. Chlorine
  • C. Iron
  • D. Argon
Q22 marks

State the colour of Cl₂, Br₂, and I₂ at room temperature.

Q32 marks

Explain why noble gases are unreactive.

Q41 mark

As you go down Group I (alkali metals), what happens to the reactivity?

  • A. Reactivity decreases
  • B. Reactivity increases
  • C. Reactivity stays the same
  • D. Reactivity varies unpredictably
Q51 mark

Which element has the highest melting point in Group I?

  • A. Lithium
  • B. Sodium
  • C. Potassium
  • D. Rubidium
Q62 marks

Compare the physical properties of fluorine and iodine (Group VII elements).

Q72 marks

Explain the trend in reactivity of Group VII elements (halogens) going down the group.

Q81 mark

Which halogen is most likely to displace the other halogens from solutions of their salts?

  • A. Fluorine
  • B. Chlorine
  • C. Bromine
  • D. Iodine
Q92 marks

Define the term transition element and give one property that distinguishes transition elements from other elements.

Q102 marks

Predict the properties of element X, which is in Period 3 and Group V of the periodic table. Explain your reasoning.