IB Chemistry R2.2 R2.2.9
R2.2.9 HL

Concentration-Time Graphs

Recognising zero, first, and second order reactions from [A] vs time plots.

📘 IB Understanding

Sketch, identify and analyse graphical representations of zero, first and second order reactions from concentration-time graphs.

[A] vs Time for Different Orders

Concentration-time graphs for zero, first, and second order reactions Zero Order Time [A] Straight line First Order Time [A] Exponential t½ = constant Second Order Time [A] Steeper curve

Key Features

OrderGraph ShapeGradientHalf-life
ZeroStraight line (negative slope)Constant = −kIncreases as [A] drops
FirstExponential decay curveDecreases as [A] dropsConstant (unique to 1st order)
SecondSteeper curve, flattens fasterDecreases more sharplyIncreases as [A] drops

📋 Exam Tip

To prove a reaction is first order from a concentration-time graph, measure consecutive half-lives. If t½ is constant (e.g. 1.0 M → 0.5 M in 20 s, and 0.5 M → 0.25 M in 20 s), the reaction is first order.

← R2.2.8 Determining OrdersR2.2.10 Rate-[A] Graphs →