Collision Theory
Activation Energy
Factors Affecting Rate
| Factor | Effect on Rate | Reason (Collision Theory) |
|---|---|---|
| Concentration (solutions) | Increase → Rate increases | More particles per unit volume → more frequent collisions |
| Pressure (gases) | Increase → Rate increases | Compresses gas → higher particle density → more collisions (equivalent to concentration) |
| Surface area (solids) | Increase → Rate increases | More surface exposed → more collision sites for reactant particles |
| Temperature | Increase → Rate increases significantly | Particles move faster (more KE): more frequent AND more energetic collisions; more molecules exceed Eᵣ |
| Catalyst | Rate increases | Provides alternative pathway with lower Eᵣ; more molecules have E ≥ lower Eᵣ |
| Light (photochemical) | Rate increases | Photons provide energy to initiate radical reactions (e.g. halogenation of alkanes) |
Effect of Temperature in Detail
Maxwell-Boltzmann Distribution
At higher temperature: distribution shifts to higher energies, peak lowers and broadens. The area under the curve to the right of Eᵣ (fraction of molecules with E ≥ Eᵣ) increases dramatically. Even a small temperature rise (e.g. 10 K) roughly doubles the rate for many reactions.
Effect on Maxwell-Boltzmann Graph
At T₂ > T₁: the curve peak shifts right and lowers (area stays constant = same number of molecules); more molecules are to the right of Eᵣ. The shaded area (molecules with E ≥ Eᵣ) increases greatly even for a small temperature increase.
Catalysis
| Type | Description | Examples |
|---|---|---|
| Homogeneous | Same phase as reactants | H⁺ in ester hydrolysis; Fe²⁺/Fe³⁺ in persulfate reaction; NO in SO₂→SO₃ (lead chamber) |
| Heterogeneous | Different phase (usually solid catalyst, gas/liquid reactants) | Fe in Haber process; V₂O⁵ in Contact process; Pt in catalytic converter; Ni in hydrogenation |
| Biological (enzymes) | Protein catalysts; highly specific; operate at low T | Amylase (starch→sugar), lactase, catalase (H₂O₂→H₂O+O₂) |
| Autocatalytic | Product catalyses its own formation | MnO₄²⁻ in KMnO₄/oxalic acid; Ce³⁺ in oscillating reactions |
Heterogeneous Catalysis: Mechanism
Energy Profile Diagrams
Reading Energy Diagrams
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Exercises
- Explain using collision theory why increasing concentration of a dissolved reactant increases the rate of reaction.Higher concentration = more solute particles per unit volume (mol/L). Therefore, the number of collisions per second between reactant particles increases (greater collision frequency). Assuming the fraction of collisions that are effective (with E ≥ Eᵣ) remains the same, more effective collisions per second → faster reaction rate.
- Why does a small rise in temperature produce a much larger increase in rate than a small increase in concentration?Temperature raises the average kinetic energy of all particles AND broadens the Maxwell-Boltzmann distribution. The number of molecules with E ≥ Eᵣ increases dramatically (exponentially, as e−Ea/RT). A 10 K rise near room T may double the rate. Concentration increase only gives a proportional (linear) increase in collision frequency → linear increase in rate. Temperature has exponential effect; concentration has linear effect.
- Sketch an energy profile diagram for an exothermic reaction. Mark: Eᵣ(forward), Eᵣ(reverse), ΔH, transition state. Show the effect of a catalyst on the profile.Exothermic: reactants at higher energy than products. Curve rises to a maximum (transition state/activated complex), then falls to products. ΔH = product energy − reactant energy (negative = exothermic). Eᵣ(fwd) = peak − reactant level; Eᵣ(rev) = peak − product level. Catalyst: draws a lower peak (dashed curve) showing reduced Eᵣ(fwd) and Eᵣ(rev). ΔH unchanged (same start and end levels). Catalyst may show a two-step profile with an intermediate.
- Explain the difference between homogeneous and heterogeneous catalysis with one example of each.Homogeneous: catalyst in same phase as reactants. Example: H⁺(aq) catalyses esterification (all in solution). Intermediate formed and then regenerated. Heterogeneous: different phase. Example: Fe(s) catalyst in Haber process (N₂(g)+H₂(g) reactants are gas phase). Mechanism: N₂ and H₂ adsorb onto Fe surface, bonds weaken, NH₃ forms, desorbs. Advantage of heterogeneous: easy to separate from products.
- Explain how an enzyme differs from an inorganic catalyst in terms of: specificity, operating conditions, and sensitivity.Specificity: enzymes highly specific (lock-and-key or induced-fit model; one enzyme for one substrate or class of substrates). Inorganic catalysts less specific (e.g. Pt catalyses many reactions). Operating conditions: enzymes work best at narrow T range (37°C in humans) and pH range (e.g. pepsin pH 2; trypsin pH 8). Inorganic catalysts often operate at high T and P. Sensitivity: enzymes denatured (permanently inactivated) by high T, extreme pH, or heavy metals. Inorganic catalysts more robust but can be poisoned.
- Describe the industrial importance of catalysts, giving three specific examples.1. Fe catalyst in Haber process (N₂+3H₂→2NH₃): allows 15-25% yield at 200 atm, 400-500°C instead of needing extreme T (slow without catalyst). 2. V₂O⁵ in Contact process (2SO₂+O₂→2SO₃): for H₂SO₄ manufacture; regenerated as V⁵⁺→V⁴⁺→V⁵⁺ cycle. 3. Pt/Pd/Rh in catalytic converters: converts CO, NOx, unburned hydrocarbons from car exhaust to CO₂, N₂, H₂O; requires unleaded fuel (Pb poisons Pt).
Quiz
Unit 13: Factors Affecting Rate
25 QsCollision theory states that a reaction occurs when particles collide with:
Increasing pressure in a gas-phase reaction increases rate because:
Why does finely powdered calcium carbonate react faster with HCl than large lumps?
On a Maxwell-Boltzmann distribution at temperature T₂ > T₁, compared to T₁:
A catalyst increases rate by:
The transition state in an energy profile diagram is:
Platinum in a catalytic converter is deactivated by:
Which statement about a catalyst is correct?
An enzyme is described as highly specific because:
The rule of thumb that rate doubles for every 10°C rise is because:
Which factor does NOT increase the rate of a solid-liquid reaction?
Autocatalysis is when:
Vanadium pentoxide (V₂O⁵) in the Contact process acts as a:
A reaction profile shows two maxima (two peaks) with a valley between them. This means:
The activation energy of a reaction can be determined experimentally from:
Light initiates some chemical reactions (photochemical reactions) because:
Iron acts as a heterogeneous catalyst in the Haber process. The mechanism involves:
Which of these reactions is NOT affected by changing the pressure?
The fraction of molecules with energy ≥ Ea is given by the Boltzmann factor:
Catalyst poisoning in heterogeneous catalysis occurs when:
An inhibitor is the opposite of a catalyst because:
The energy profile of a catalysed reaction compared to uncatalysed shows:
In the Contact process: 2SO₂ + O₂ ⇌ 2SO₃. The catalyst V₂O⁵ works via:
Temperature increases both collision frequency and the Boltzmann factor. Which effect is larger for most reactions?
Surface area is important for heterogeneous reactions. Which industrial process relies most critically on maximising catalyst surface area?
A student adds more solid KMnO₄ to a reaction mixture but does not change its surface area (large lumps). What happens to the rate?
Unit 13 Quiz — Reaction Rates (25 Questions)
Select one answer eachReaction rate is defined as:
According to collision theory, a reaction occurs when:
Increasing temperature increases reaction rate because:
The activation energy (Ea) is:
A catalyst increases reaction rate by:
Increasing concentration increases rate because:
The Maxwell-Boltzmann distribution curve shows that:
Increasing surface area of a solid reactant increases rate because:
A catalyst is not consumed in the overall reaction because:
The effect of pressure on gaseous reaction rate is similar to concentration because:
A homogeneous catalyst is in:
The Haber process uses an iron catalyst which is an example of:
An inhibitor (negative catalyst) works by:
Enzymes are biological catalysts that are highly specific because:
The rate of a reaction generally doubles for every 10°C rise in temperature. This means:
Light increases the rate of photochemical reactions by:
In the iodine clock reaction, the sudden appearance of blue-black colour indicates:
Acid-base catalysis is common because:
A negative activation energy would mean:
Transition state theory states that reactants must pass through:
Autocatalysis occurs when:
Chain reactions involve:
Ozone depletion by CFCs involves catalysis because:
Temperature coefficient Q₁₀ = 2 means:
Measuring rate by colorimetry works when:
Unit Test — 50 marks
Section A
30 marksUsing collision theory, explain the effect of each of the following on the rate of the reaction: Mg(s) + 2HCl(aq) → MgCl₂(aq) + H₂(g). (a) Doubling HCl concentration [2]; (b) Halving particle size of Mg [2]; (c) Increasing temperature by 20°C [2].
Describe the Maxwell-Boltzmann distribution and use it to explain why a small temperature increase causes a disproportionately large increase in reaction rate. [5]
Compare the mechanism of action of (a) a heterogeneous metal catalyst (e.g. Ni in hydrogenation); (b) a homogeneous catalyst (e.g. H⁺ in esterification); (c) a biological enzyme (e.g. catalase). [5]
Sketch and label energy profile diagrams for: (a) an uncatalysed endothermic reaction and (b) the same reaction with a catalyst. Explain what changes and what stays the same. [4]
Explain three industrial applications where catalysts are essential. For each: name the catalyst, the reaction, and explain why the catalyst is needed (what happens without it). [5]
A student investigates the rate of reaction between sodium thiosulfate and hydrochloric acid: Na₂S₂O₃ + 2HCl → 2NaCl + S + SO₂ + H₂O. Sulfur precipitates and makes the solution cloudy. The student measures time for a cross to disappear through the solution. Describe how this experiment can be used to investigate (a) effect of concentration and (b) effect of temperature. Include controls and how rate is measured. [5]
Explain three industrial applications where catalysts are essential. For each: name the catalyst, the reaction, and explain why the catalyst is needed. [5]
Section B
20 marks(a) Explain using collision theory and Maxwell-Boltzmann distribution why temperature has such a dramatic effect on rate compared to concentration. Include a description of the exponential (Arrhenius) relationship. [5] (b) A reaction has Ea = 60 kJ/mol. Calculate the Boltzmann factor at 25°C and 35°C. Show that the rate approximately doubles. (R = 8.314 J/mol/K) [5]
(b) At 25°C (298 K): f₁ = e^(−60000/(8.314×298)) = e^(−24.21) = 3.0×10⁻¹⁰¹. At 35°C (308 K): f₂ = e^(−60000/(8.314×308)) = e^(−23.42) = 6.6×10⁻¹⁰¹. Ratio f₂/f₁ = 6.6/3.0 = 2.2. Rate at 35°C is 2.2× rate at 25°C — confirming the rule of thumb.
Evaluate the use of catalysts in modern chemistry and industry. Discuss: (a) economic and environmental benefits of catalytic processes; (b) catalyst deactivation and regeneration; (c) the emerging role of green chemistry and biocatalysis. [10]
(b) Deactivation: (i) Poisoning — irreversible adsorption of impurity (Pb, S, CO); (ii) Sintering — heating causes small particles to fuse → reduced surface area; (iii) Coking — carbon deposits from hydrocarbons block surface. Regeneration: (i) Oxidative regeneration — burn off carbon deposits (catalyst crackers regenerated by burning coke in air); (ii) Chemical washing — remove impurities; (iii) For Pt converters: not regeneratable (replace); (iv) Zeolite catalysts: regenerated by heating. Replacement costs are major industrial expense — research into more robust catalysts ongoing. [4]
(c) Green chemistry biocatalysis: enzymes catalyse reactions at 37°C, pH 7 in water — ideal green conditions (no hazardous solvents, no high T or P). Pharmaceutical industry: enzymes used for enantioselective synthesis (one mirror image only) — conventional catalysts produce racemic mixtures. Examples: lipases in biodiesel production; amylases in bioethanol production; nitrile hydratase in acrylamide production (replaces toxic Cu catalyst at high T). Immobilised enzymes (attached to surface) reusable. Directed evolution (Nobel Prize 2018) engineers enzymes for non-natural reactions. Growing role: enzyme cascade reactions replacing multi-step synthetic routes. [3]