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

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Define the rate of reaction.

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Define the rate of reaction.
The change in concentration of a reactant or product per unit time (mol dm⁻³ s⁻¹).
What does the order with respect to a reactant mean?
The power to which that reactant's concentration is raised in the rate equation.
Can the rate equation be written from the balanced equation?
No. It must be found by experiment.
What does doubling a concentration do to the rate for zero, first and second order?
Zero: no change. First: rate doubles. Second: rate increases by a factor of 4.
What are the units of k for an overall first-order reaction?
s⁻¹
What are the units of k for an overall second-order reaction?
dm³ mol⁻¹ s⁻¹
What are the units of k for an overall third-order reaction?
dm⁶ mol⁻² s⁻¹
Define half-life.
The time taken for the concentration of a reactant to halve.
How does half-life show that a reaction is first order?
Successive half-lives are constant, whatever the concentration.
What is the relationship between k and half-life for a first-order reaction?
k = ln 2 ÷ t½ = 0.693 ÷ t½
What shape is a rate–concentration graph for first order?
A straight line through the origin; the gradient equals k.
What shape is a concentration–time graph for zero order?
A straight line with a negative gradient (constant rate).
How is the rate found from a concentration–time graph?
Draw a tangent at that time; the magnitude of the gradient is the rate.
What does k depend on?
Temperature (and the presence of a catalyst); it does not depend on concentration.

Exam questions on Rate equations and orders of reaction

  1. The reaction between peroxodisulfate ions and iodide ions is S₂O₈²⁻(aq) + 2I⁻(aq) → 2SO₄²⁻(aq) + I₂(aq). Initial rates were measured 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⁻] = 0.040 mol dm⁻³, [I⁻] = 0.080 mol dm⁻³, initial rate = 9.6 × 10⁻⁶ mol dm⁻³ s⁻¹.
    Calculate the value of the rate constant, k, for this reaction, including its units.2 marks
  2. Dinitrogen pentoxide, N₂O₅, decomposes in solution at constant temperature. The initial concentration of N₂O₅ is 0.80 mol dm⁻³. It falls to 0.40 mol dm⁻³ after 120 s and to 0.20 mol dm⁻³ after a further 120 s. The rate constant for the reaction at this temperature is 5.78 × 10⁻³ s⁻¹.
    Calculate the initial rate of reaction, including units.2 marks
  3. Nitrogen monoxide reacts with hydrogen: 2NO(g) + 2H₂(g) → N₂(g) + 2H₂O(g). Initial rates were measured at constant temperature. Experiment 1: [NO] = 0.010 mol dm⁻³, [H₂] = 0.010 mol dm⁻³, initial rate = 2.0 × 10⁻⁷ mol dm⁻³ s⁻¹. Experiment 2: [NO] = 0.020 mol dm⁻³, [H₂] = 0.010 mol dm⁻³, initial rate = 8.0 × 10⁻⁷ mol dm⁻³ s⁻¹. Experiment 3: [NO] = 0.010 mol dm⁻³, [H₂] = 0.030 mol dm⁻³, initial rate = 6.0 × 10⁻⁷ mol dm⁻³ s⁻¹.
    Use the data to deduce the order of reaction with respect to NO and with respect to H₂, and write the rate equation.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).