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Rate equations and orders of reactionEdexcel International A Level Chemistry: Flashcards

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What is the rate equation for a reaction with orders m and n in A and B?

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What is the rate equation for a reaction with orders m and n in A and B?
rate = k[A]ᵐ[B]ⁿ
Define the order of reaction with respect to a substance.
The power to which its concentration is raised in the rate equation. It shows how the rate depends on that concentration.
What is the overall order of a reaction?
The sum of the orders with respect to each substance in the rate equation.
Can the orders be deduced from the balanced equation?
No. They can only be found from experimental data.
What does the rate constant k represent?
The constant of proportionality in the rate equation. It is constant at a given temperature.
What are the units of k for an overall second-order reaction (mol dm⁻³, s)?
dm³ mol⁻¹ s⁻¹
What are the units of k for a first-order reaction?
s⁻¹
What is the effect on rate of doubling the concentration of a second-order reactant?
The rate increases by a factor of four.
How can you tell first order from a concentration–time graph?
The half-life is constant.
What does a rate–concentration graph look like for a first-order reactant?
A straight line through the origin.
What is the rate-determining step?
The slowest step in the mechanism, which controls the overall rate of reaction.
What is the difference between a homogeneous and a heterogeneous catalyst?
A homogeneous catalyst is in the same phase as the reactants. A heterogeneous catalyst is in a different phase.

Exam questions on Rate equations and orders of reaction

  1. A technician studies the gas-phase reaction 2NO(g) + 2H₂(g) → N₂(g) + 2H₂O(g) at constant temperature. Experiments show that the rate equation is rate = k[NO]²[H₂].
    The concentration of NO is doubled and the concentration of H₂ is halved, with the temperature unchanged. Deduce the factor by which the rate changes.2 marks
  2. Peroxodisulfate ions oxidise iodide ions: S₂O₈²⁻(aq) + 2I⁻(aq) → 2SO₄²⁻(aq) + I₂(aq). A student measures the initial rate of this reaction in three experiments at constant temperature. Experiment 1: [S₂O₈²⁻] = 0.020 mol dm⁻³, [I⁻] = 0.040 mol dm⁻³, initial rate = 2.4 × 10⁻⁶ mol dm⁻³ s⁻¹. Experiment 2: [S₂O₈²⁻] = 0.040 mol dm⁻³, [I⁻] = 0.040 mol dm⁻³, initial rate = 4.8 × 10⁻⁶ mol dm⁻³ s⁻¹. Experiment 3: [S₂O₈²⁻] = 0.020 mol dm⁻³, [I⁻] = 0.080 mol dm⁻³, initial rate = 4.8 × 10⁻⁶ mol dm⁻³ s⁻¹.
    Calculate the initial rate of the reaction at the same temperature when [S₂O₈²⁻] = 0.050 mol dm⁻³ and [I⁻] = 0.060 mol dm⁻³.2 marks
  3. A reactant R decomposes in solution at constant temperature. Its concentration is 0.800 mol dm⁻³ at the start, 0.400 mol dm⁻³ after 120 s, 0.200 mol dm⁻³ after 240 s and 0.100 mol dm⁻³ after 360 s.
    Deduce the order of reaction with respect to R and justify your answer.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).