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CHEM10007 · Fundamentals Of Chemistry

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Chapter 7 of 11 · CHEM10007

Reaction Kinetics

How fast reactions go and what changes that speed. You define reaction rate as a concentration change per unit time, identify the factors affecting rate (concentration, temperature, surface area, catalyst), and explain rate using collision theory and the activation energy barrier. Catalysts lower Ea by offering an alternative pathway, shown on a reaction-profile diagram.

In this chapter

What this chapter covers

  • 01Reaction rate = change in concentration per unit time, rate = −Δ[reactant]/Δt = +Δ[product]/Δt
  • 02Stoichiometric scaling of rates between reactants and products
  • 03Factors affecting rate: concentration, temperature, surface area, catalyst
  • 04Collision theory: effective collisions need correct orientation and energy ≥ Ea
  • 05Activation energy Ea as the energy barrier to reaction
  • 06Temperature effect: higher T means more molecules exceed Ea, so faster reaction
  • 07Catalysts: lower Ea via an alternative pathway and are not consumed
  • 08Reaction-profile diagrams with and without a catalyst
Worked example · free

Average reaction rate from concentration–time data

Q [3 marks]. For the decomposition of dinitrogen pentoxide, [N2O5] falls from 0.150 M to 0.090 M over 50 s. (a) Calculate the average rate of consumption. (b) A second run at a lower temperature shows a smaller concentration change in the same time — explain why.
  • 1 mark — correct rate expressionrate = −Δ[N2O5]/Δt = −(0.090 − 0.150)/50.
  • 1 mark — numerical raterate = −(−0.060)/50 = 1.2 × 10−3 M s−1.
  • 1 mark — temperature/E<sub>a</sub> explanationAt lower temperature, fewer molecules have energy ≥ Ea, so there are fewer effective collisions per second; the reaction is slower and the concentration changes less over the same time.
Average rate of consumption = 1.2 × 10−3 M s−1; the lower-temperature run is slower because fewer molecules exceed the activation energy.
Sia tip — Rate of consumption is positive — the minus sign in front of Δ[reactant] cancels the negative concentration change. Always state units (M s−1).
Glossary

Key terms

Reaction rate
The change in concentration of a reactant or product per unit time, with a stoichiometric factor so all species give the same overall rate.
Activation energy (Ea)
The minimum energy a collision must have, with the correct orientation, for a reaction to occur — the barrier on a reaction-profile diagram.
Collision theory
The model that reactions occur only when particles collide with sufficient energy (≥ Ea) and the correct orientation.
Catalyst
A substance that speeds a reaction by providing an alternative pathway with lower Ea; it is not consumed overall.
Reaction profile
A diagram of energy versus reaction progress showing reactants, the activation-energy barrier, the transition state and products.
FAQ

Reaction Kinetics FAQ

Why does raising the temperature speed up a reaction?

Higher temperature widens the energy distribution so a larger fraction of molecules have energy at or above Ea. There are more frequent and more energetic effective collisions per second, increasing the rate.

How does a catalyst work without being used up?

A catalyst offers an alternative reaction pathway with a lower activation energy, so more collisions succeed. It is regenerated by the end of the mechanism, so it does not appear in the overall balanced equation.

Why is the rate of consumption written with a minus sign?

A reactant's concentration decreases, so Δ[reactant] is negative. Placing a minus sign in front makes the reported rate a positive quantity, matching the positive rate of product formation.

Study strategy

Exam move

Be able to compute an average rate from concentration–time data and to give a crisp collision-theory explanation for each rate factor, since kinetics questions are usually short. Practise sketching reaction profiles with and without a catalyst, labelling Ea and the transition state. Connect the temperature argument here to the equilibrium and weak-acid chapters, where the same energy-distribution reasoning reappears.

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