Year 11 Chemistry Module 3 ⏱ ~35 min Lesson 11 of 12

Collision Theory & Reaction Rate

A glow stick glows brighter when you warm it in your hands and slower when you put it in the freezer — the same chemical reaction, running at different rates, because temperature changes how often and how hard particles collide.

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1

Understand the core concepts covered in this lesson.

2

Apply your knowledge to solve problems and explain phenomena.

3

Evaluate and analyse scientific information and data.

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Think First

You’ve probably snapped a glow stick and seen it start glowing. If you put it in a cup of hot water, it glows intensely for a short time then fades quickly. If you put it in the freezer, it glows dimly for a very long time.

The chemical reaction inside is identical in both cases — same chemicals, same amount. (1) If the same reaction is occurring, why does temperature change how fast it happens? (2) Why does the hot glow stick run out faster? Write your predictions before reading on.

Type your predictions below — you will revisit them at the end of the lesson.

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Key Concepts — This Lesson

$\text{Reaction rate} = \dfrac{\Delta[\text{concentration}]}{\Delta t} \;\left(\text{mol L}^{-1}\text{s}^{-1}\right)$
Also expressed as $\Delta\text{mass}/\Delta t$ (g/s) or $\Delta\text{volume}/\Delta t$ (mL/s). Rate decreases over time as reactant concentration falls.
Effective collision: energy $\geq E_a$ AND correct orientation
Both conditions must be met simultaneously — one alone is not sufficient
$T\uparrow \;\Rightarrow\; \overline{KE}\uparrow \;\Rightarrow\; \text{more particles exceed }E_a \;\Rightarrow\; \text{rate}\uparrow$
Temperature is the only factor that changes the proportion of particles exceeding $E_a$
Key Terms — scan these before reading
Collision theoryThe theory that chemical reactions occur when particles collide with sufficient energy and correct orientation.
effective collisionAn effective collision is one that results in the formation of products.
Sufficient energyCollision frequency is how often particles collide; collision effectiveness is whether those collisions have sufficient energy AND correct orientation.
Synthesis reactionA reaction where two or more reactants combine to form a single product.
Decomposition reactionA reaction where a single compound breaks down into simpler substances.
Precipitation reactionA reaction in which an insoluble solid forms when two solutions are mixed.

📚 Content

02

Defining Reaction Rate

The rate of a chemical reaction is defined as the change in concentration of a reactant or product per unit time. In practical terms, rate can be measured by monitoring any observable quantity that changes as the reaction proceeds.

Concentration change

What Is Monitored: Reactant or product concentration
Units: mol/L/s
Example Reaction: Coloured ion reactions, titration

Mass change

What Is Monitored: Decrease in mass as gas escapes
Units: g/s
Example Reaction: CaCO₃ + HCl → CO₂

Gas volume

What Is Monitored: Volume of gas collected
Units: mL/s
Example Reaction: Zn + H₂SO₄ → H₂

Colour change

What Is Monitored: Absorbance or light transmission
Units: Arbitrary units/s
Example Reaction: Permanganate decolourisation

Reaction rate is not constant throughout a reaction — it is typically fastest at the start (when reactant concentrations are highest) and slows progressively as reactants are consumed. A rate versus time graph shows a decreasing curve that approaches zero as the reaction nears completion.

Must Know: When describing how to measure reaction rate in an investigation, specify both what is being measured and the time interval. “Measuring the volume of CO₂ gas collected every 30 seconds using a gas syringe” is a complete method. “Measuring the gas” is not.
Common Error: Students state that reaction rate is constant throughout a reaction. It is not — rate decreases over time as reactant concentration falls. If asked for the rate at a specific time from a graph, calculate the gradient of the tangent at that point, not the overall gradient.
03

Collision Theory — The Particle-Level Explanation

Chemical reactions don’t happen just because reactant particles are present — they happen only when particles collide in exactly the right way with exactly enough energy.

Collision theory states: for a chemical reaction to occur, reactant particles must collide. However, not every collision results in a reaction. An effective collision is one that results in the formation of products. For a collision to be effective, two conditions must both be met simultaneously:

  1. Sufficient energy: the colliding particles must have kinetic energy equal to or greater than the activation energy (Eₐ). If below Eₐ, the particles simply bounce apart.
  2. Correct orientation: the particles must collide with the reactive parts of their molecules facing each other. Even with sufficient energy, a collision between the wrong parts of two molecules will not produce the desired products.

The proportion of collisions that are effective is small for most reactions at room temperature — which is why reactions that are thermodynamically favourable can still be slow.

Must Know: Always state BOTH conditions for an effective collision in HSC answers — sufficient energy (≥ Eₐ) AND correct orientation. A response that mentions only energy will not score full marks.
Common Error: Students confuse collision frequency with collision effectiveness. Increasing temperature increases both — but they are different things. Collision frequency is how often particles collide; collision effectiveness is whether those collisions have sufficient energy AND correct orientation.
Insight: For a typical reaction at room temperature, only about 1 in 10⁹ collisions is effective. This seems impossibly low — yet reactions still proceed at measurable rates because the total number of collisions per second in a sample is astronomical (on the order of 10³⁰ per second in a typical solution). Even a tiny fraction of an enormous number gives a measurable reaction rate.
Adjust temperature and Eₐ · green flash = effective collision · watch how rate changes · Drag to rotate Interactive 3D
04

Activation Energy and Energy Diagrams

The activation energy (Eₐ) is the minimum kinetic energy that colliding particles must have for the collision to be effective. It represents the energy required to break the bonds in the reactants sufficiently to allow atoms to rearrange into products.

An energy diagram (reaction progress diagram) plots the energy of the reacting system against the progress of the reaction from reactants to products:

Energy (kJ) Reaction Progress Reactants Products Transition state (Activated complex) Ea ΔH (negative = exothermic)

Key features: reactants at their initial energy level (left); the transition state (activated complex) at the peak; products at their final energy level (right). Eₐ is measured from the reactant energy level to the peak. ΔH is the difference between reactant and product energy levels. For an exothermic reaction, products are lower than reactants (ΔH < 0). For endothermic, products are higher (ΔH > 0).

Must Know: Eₐ is always measured from the reactant energy level to the peak — not from zero and not from the product level. In exothermic reactions, students sometimes confuse ΔH with Eₐ. They are different quantities on the same Eₐ is the barrier height; ΔH is the net energy change.
Common Error: Students draw the activation energy arrow starting from zero on the y-axis, or from the product level. It must start from the reactant energy level and end at the transition state peak. Practise labelling the diagram correctly until it is automatic.
05

What Variables Affect Reaction Rate — Preview

Every variable that affects reaction rate does so by changing either the frequency of collisions, the proportion of collisions with sufficient energy, or both. These four factors are explored in full in L12:

VariableEffect on Collision FrequencyEffect on Proportion Exceeding EₐNet Effect on Rate
Increase temperatureIncreasesIncreases (more exceed Eₐ)Rate increases
Increase concentrationIncreasesNo changeRate increases
Increase surface areaIncreases (at surface)No changeRate increases
Add catalystNo significant changeIncreases (lower Eₐ)Rate increases
Must Know: Every explanation of a rate factor in an HSC answer must use collision theory language: activation energy, collision frequency, effective collision, proportion of particles exceeding Eₐ. A response that says “increasing temperature makes particles move faster and react more” without using these terms will not score full marks.
CaCO₃ + HCl → CO₂ · adjust temperature, concentration, surface area, catalyst · total CO₂ is always the same Interactive
06

Glow Sticks — Activation Energy and Temperature in Action

A glow stick contains two chemical compartments: an outer tube containing hydrogen peroxide (H₂O₂) and a fluorescent dye, and an inner glass vial containing a phenyl oxalate ester. When snapped, the two solutions mix and a chemiluminescent reaction produces light.

At higher temperature (warm water): particles have greater average kinetic energy; a larger proportion of collisions exceed Eₐ; more effective collisions occur per second; reaction rate is faster; the glow is brighter but shorter (reactants consumed more quickly).

At lower temperature (freezer): particles have lower average kinetic energy; fewer collisions exceed Eₐ; fewer effective collisions per second; reaction rate is slower; the glow is dimmer but lasts longer.

Crucially, the total amount of light produced is approximately the same at both temperatures (same amount of reactant) — only the rate of production differs.

Must Know: The short answer question for this lesson will ask you to explain, using collision theory, why a glow stick glows more brightly in hot water. Structure your answer: temperature effect on kinetic energy → proportion of particles exceeding Eₐ → effective collision frequency → reaction rate → brightness.
Common Error: Students state that hot water “gives energy to the reaction” or “adds energy to the glow stick.” This is imprecise. The correct explanation is that hot water increases the average kinetic energy of the particles inside the glow stick, increasing the proportion that exceed the activation energy barrier — it does not change Eₐ.

📐 Worked Examples

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Example 1 — Calculating Reaction Rate from Experimental Data

Problem: A student monitors the reaction between marble chips (CaCO₃) and hydrochloric acid by measuring CO₂ gas produced over time: 0 s = 0 mL; 30 s = 18 mL; 60 s = 32 mL; 90 s = 42 mL; 120 s = 48 mL; 150 s = 51 mL; 180 s = 52 mL. (a) Calculate the average rate between 0 and 60 s. (b) Calculate the average rate between 120 and 180 s. (c) Explain why the rate in (b) is lower than in (a) using collision theory.
Step 1 — (a) Rate from 0 to 60 s

Rate = Δvolume ÷ Δtime = (32 − 0) mL ÷ (60 − 0) s = 32 ÷ 60 = 0.53 mL/s

Step 2 — (b) Rate from 120 to 180 s

Rate = Δvolume ÷ Δtime = (52 − 48) mL ÷ (180 − 120) s = 4 ÷ 60 = 0.067 mL/s

Step 3 — (c) Explain using collision theory

Between 120 and 180 seconds, the reaction is nearly complete — the concentration of HCl has decreased significantly. Lower concentration means fewer H⁺ ions per unit volume, decreasing the frequency of collisions between H⁺ and CaCO₃ surface particles. Fewer collisions per second means fewer effective collisions per second (the proportion of effective collisions is unchanged since T is constant and Eₐ is unchanged). Therefore reaction rate decreases.

Final Answer

(a) 0.53 mL/s. (b) 0.067 mL/s. (c) Decreased HCl concentration lowers collision frequency between H⁺ and CaCO₃, reducing effective collisions per second and slowing the rate.

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Example 2 — Interpreting an Energy Diagram

Problem: A reaction has an activation energy of 85 kJ/mol and releases 40 kJ/mol of energy. (a) Is the reaction exothermic or endothermic? (b) Describe the energy diagram, labelling Eₐ, ΔH, and the transition state. (c) Show the effect of adding a catalyst on the same diagram.
Step 1 — (a) Exothermic or endothermic?

The reaction releases 40 kJ/mol (ΔH = −40 kJ/mol) → exothermic. Products are lower in energy than reactants.

Step 2 — (b) Energy diagram description

Reactant energy level set as reference. The curve rises from reactant level to the transition state peak (85 kJ above reactant level). The curve then falls to the product level, which is 40 kJ below the reactant level. Labels: Eₐ = 85 kJ/mol (arrow from reactant level to peak); ΔH = −40 kJ/mol (arrow from reactant level down to product level); “Transition state / Activated complex” at the peak; “Reactants” on the left; “Products” on the right.

Step 3 — (c) Effect of a catalyst

A catalyst lowers the activation energy. On the same diagram, draw a second curve with a lower peak (e.g. at 55 kJ above reactant level instead of 85 kJ). The reactant and product energy levels are unchanged — the catalyst does not change ΔH. Label the lower peak “Eₐ (catalysed)” and the original peak “Eₐ (uncatalysed).”

Effective vs Ineffective Collisions Wrong Orientation No reaction Insufficient Energy Particles bounce apart E < Eₐ Effective Collision ✓ Correct orientation E ≥ Eₐ Products form

✏️ Activities

Activity 1 — Rate Calculation

A student investigates the decomposition of hydrogen peroxide (H₂O₂ → H₂O + ½O₂) by measuring the volume of oxygen gas produced over time at 25°C.

Time (s)020406080100
Volume O₂ (mL)01424303334

(a) Calculate the average rate of O₂ production between 0 and 40 seconds (mL/s).

(b) Calculate the average rate between 60 and 100 seconds (mL/s).

(c) Explain why the rate in (b) is lower than in (a), using the concept of collision frequency.

Type your calculations and explanation.

Show calculations in your workbook.

✏️ Show calculations in your workbook
Activity 2 — Energy Diagram Analysis

Consider the exothermic reaction: CH₄(g) + 2O₂(g) → CO₂(g) + 2H₂O(g). This reaction has a high activation energy (around 400 kJ/mol) but releases approximately 890 kJ/mol of energy.

Question A: Sketch and label the energy diagram for this reaction. Mark Eₐ, ΔH, the transition state, reactants, and products.

Question B: Without a catalyst, natural gas (methane) does not ignite at room temperature despite being thermodynamically favourable (ΔH very negative). Use collision theory and your energy diagram to explain why.

Question C: A spark is used to ignite natural gas. Explain what the spark is doing in terms of activation energy.

Type your descriptions and explanations for A, B, and C.

Sketch the diagram and write responses in your workbook.

✏️ Sketch and write in your workbook
Interactive: Collision Theory Simulator
Interactive — Rate Factor Matcher
Revisit Your Initial Thinking

Look back at what you wrote in the Think First section. What has changed? What did you get right? What surprised you?

Misconceptions to Fix

Wrong: A catalyst increases the amount of product formed at equilibrium.

Right: A catalyst speeds up both forward and reverse reactions equally, so equilibrium is reached faster but the equilibrium position and product yield do not change. Catalysts lower activation energy but do not alter ΔH or the thermodynamic favourability of a reaction.

MC

Multiple Choice

5 random questions from a replayable lesson bank — feedback shown immediately

✍️ Short Answer

07

Extended Questions

UnderstandBand 3

8. (4 marks) State the two conditions required for an effective collision. For each condition, explain what happens when that condition is not met (i.e., what happens to the particles). (2 marks each)

Type your response — state each condition and what happens without it.

Write your response in your book.

✏️ Write your response in your book
ApplyBand 4

9. (4 marks) A reaction has an activation energy of 60 kJ/mol and produces 35 kJ/mol of energy. (a) Is the reaction exothermic or endothermic? (b) On a labelled energy diagram, identify and give numerical values for Eₐ and ΔH. (c) Explain whether the reaction would proceed faster or slower if the activation energy were 30 kJ/mol instead of 60 kJ/mol (assume the same temperature). (1 + 2 + 1 marks)

Type your answer and describe the energy diagram labels.

Draw the diagram and write your response in your book.

✏️ Draw diagram and write response in your book
EvaluateBand 5

10. (5 marks) A glow stick is cracked and placed in a water bath at 5°C. An identical glow stick is placed in a water bath at 45°C. (a) Predict which glow stick will be brighter and which will last longer. (b) Using collision theory, explain why the glow stick at 45°C glows more brightly. Your explanation must reference activation energy, kinetic energy of particles, and the proportion of effective collisions. (c) The total amount of light produced by both glow sticks is the same. Explain this observation in terms of the amount of reactant and reaction rate. (1 + 3 + 1 marks)

Type your full extended response.

Write your full response in your book.

✏️ Write your full response in your book
Revisit Your Thinking

Go back to your Think First response. Can you now explain precisely why hot water makes the glow stick brighter (using activation energy and effective collision language)? And why does the hot glow stick run out faster?

Activity 1 Answers

(a) Rate = (24 − 0) mL ÷ (40 − 0) s = 24 ÷ 40 = 0.60 mL/s

(b) Rate = (34 − 30) mL ÷ (100 − 60) s = 4 ÷ 40 = 0.10 mL/s

(c) Between 60 and 100 seconds, the concentration of H₂O₂ has decreased significantly. Fewer H₂O₂ molecules per unit volume means that collisions between H₂O₂ molecules (or between H₂O₂ and the catalyst surface) occur less frequently. Fewer collisions per second means fewer effective collisions per second (the proportion of effective collisions is unchanged since temperature and Eₐ are unchanged). Therefore reaction rate decreases.

Activity 2 Answers

A. Energy x-axis = reaction progress; y-axis = energy. Reactants (CH₄ + 2O₂) at a reference energy level on the left. The curve rises steeply to the transition state peak (400 kJ above reactant level — this is Eₐ). The curve falls to the product level (CO₂ + 2H₂O), which is 890 kJ below the reactant level (ΔH = −890 kJ/mol). Labels: Eₐ = 400 kJ/mol (arrow from reactant level to peak); ΔH = −890 kJ/mol (arrow from reactant level to product level); “Transition state / Activated complex” at peak.

B. At room temperature, the average kinetic energy of methane and oxygen molecules is much less than the activation energy (400 kJ/mol). Only a tiny fraction of collisions have sufficient kinetic energy to reach the transition state and result in bond-breaking and rearrangement. Despite the reaction being thermodynamically favourable (very negative ΔH), the high energy barrier means almost no collisions are effective at room temperature. The reaction does not proceed at a measurable rate.

C. The spark provides a concentrated burst of energy to a small region of the gas mixture. This locally raises the temperature dramatically, increasing the average kinetic energy of nearby molecules so that a proportion of them exceed the activation energy (400 kJ/mol) and undergo effective collisions. These initial reactions release enough heat to ignite the surrounding gas — the process becomes self-sustaining because the heat released by each reaction provides energy for the next set of collisions to exceed Eₐ.

MC Feedback

Q1 B: Both conditions required: energy ≥ Eₐ AND correct orientation. Option A omits both. Option C confuses Eₐ with ΔH.

Q2 B: Lower temperature → lower average KE → fewer particles exceed Eₐ → fewer effective collisions → slower rate → dimmer but longer glow. Option A incorrectly states Eₐ changes with temperature. Option D incorrectly predicts shorter duration.

Q3 C: Eₐ is measured from the reactant energy level to the transition state peak. Option A describes ΔH. Option B gives the reverse activation energy. Option D also describes ΔH.

Q4 A: CaCO₃ + 2HCl → CaCl₂ + H₂O + CO₂. CO₂ gas is produced and escapes the open vessel, reducing total mass. The decrease in mass directly measures the rate of CO₂ production.

Q5 B: A large activation energy means very few particles have sufficient kinetic energy to overcome the barrier at room temperature. The large negative ΔH is irrelevant to the rate — it tells you the energy released if the reaction proceeds, not how fast it proceeds. Eₐ controls rate; ΔH controls whether the reaction is favoured thermodynamically.

Q6 C: Even at very high temperatures where all particles exceed Eₐ, collisions with incorrect orientation cannot lead to products. The orientation condition is independent of energy. Both conditions must be met. The claim is incorrect.

Q7 D: The Arrhenius equation (k = A×e^(-Ea/RT)) describes the relationship between rate constant k and temperature T, with Eₐ and R as constants. By measuring the rate at multiple temperatures and applying the Arrhenius equation, Eₐ can be calculated. Option A confuses Eₐ with ΔH.

Short Answer Guides

Q8: Condition 1 — Sufficient energy (kinetic energy ≥ activation energy Eₐ): if this condition is not met, the colliding particles do not have enough energy to break the bonds in the reactants and reach the transition state. The particles simply bounce apart elastically with no reaction. Condition 2 — Correct orientation: if this condition is not met, even if the particles have sufficient energy, the collision occurs between the wrong parts of the molecules (not the reactive sites). The atoms cannot rearrange into products, and the particles bounce apart without reacting.

Q9: (a) Exothermic (ΔH = −35 kJ/mol; energy released). (b) Energy reactants at reference level. Transition state peak at 60 kJ above reactant level (this is Eₐ = 60 kJ/mol). Product level at 35 kJ below reactant level (ΔH = −35 kJ/mol). Arrow from reactant level to peak labelled Eₐ = 60 kJ/mol. Arrow from reactant level down to product level labelled ΔH = −35 kJ/mol. (c) If Eₐ = 30 kJ/mol (lower barrier), a greater proportion of particles in the Maxwell-Boltzmann distribution would have kinetic energy ≥ 30 kJ/mol compared to ≥ 60 kJ/mol at the same temperature. More particles can undergo effective collisions per second → the reaction would proceed faster.

Q10: (a) 45°C glow stick is brighter; 5°C glow stick lasts longer. (b) At 45°C, the water bath increases the average kinetic energy of the molecules inside the glow stick (the chemiluminescent reactants). A larger proportion of these molecules now have kinetic energy equal to or greater than the activation energy (Eₐ) of the chemiluminescent reaction. This means a greater proportion of collisions are effective (have both sufficient energy and correct orientation). More effective collisions per second means more reactant is converted to product per second → more light is produced per second → the glow is brighter. (c) Both glow sticks contain the same amount of reactant. The total amount of light produced depends on the total number of product molecules formed, which depends only on the amount of reactant (not the rate). At 45°C, the reactant is consumed quickly at a high rate; at 5°C, the same total amount of reactant is consumed slowly at a low rate. In both cases, all the reactant is eventually consumed and the same total amount of light is produced — just over different time spans.

Science Jump

Collision Theory & Reaction Rate

Climb platforms, hit checkpoints, and answer questions on Collision Theory & Reaction Rate. Quick recall from lessons 1–11.