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A level Chemistry · Edexcel 9CH0 · Topic 16A

Rate equations and orders

Key points

  • Rate equation: rate = kk[A]ᵐ[B]ⁿ. Orders mm and nn are found experimentally.
  • Zero order: rate unaffected by concentration; concentration–time graph is a straight line falling.
  • First order: rate doubles when concentration doubles; constant half-life, k=ln⁡2t1/2k = \frac{\ln 2}{t_{1/2}}.
  • Second order: doubling concentration multiplies rate by four; half-life increases as concentration falls.
  • Rate–concentration graphs: horizontal line (0), straight line through the origin (1), curve upwards (2).
  • Initial rates method: change one concentration at a time, find the rate from the tangent at t=0t = 0 or a clock reaction (rate ∝ 1/time).
  • Units of kk depend on overall order, e.g. s⁻¹ (first order), dm³ mol⁻¹ s⁻¹ (second order).
  • Continuous monitoring: colorimetry, gas collection, titration of quenched samples.

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A rate equation sums up, in one line, how the rate of a reaction depends on the concentration of each reactant. Finding the orders and the rate constant is a core data-handling skill, tested with tables, graphs and practicals.

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