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Rate Graphs Simplified Revision Notes

Revision notes with simplified explanations to understand Rate Graphs quickly and effectively.

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6.1.3 Rate Graphs

Rate Graphs

infoNote

Rate graphs are visual tools used to show how the amount of reactants or products changes over time during a reaction. These graphs help us see how quickly a reaction is happening at different stages.

image

Understanding the Curves:

infoNote

Rate graphs often show curves because the rate of reaction changes as the reaction progresses.

  • Reactant Curve: If you plot the amount of reactant leftover time, the curve will slope downwards because the reactants are being used up.

  • Product Curve: If you plot the amount of product formed over time, the curve will slope upwards because more product is being made as time goes on.

    image
  • Steepness of the Curve:

    • At the beginning of the reaction, the curve is steepest because the reaction is fastest here. This is when there are plenty of reactant particles available to collide and react.
    • As the reaction continues, the curve becomes less steep because the reactants get used up, so there are fewer particles to collide, slowing down the reaction.
    • Eventually, the curve flattens out (plateaus) when the reaction stops, meaning no more reactants are left or the system has reached equilibrium.
infoNote

Calculating the Rate of Reaction from a Graph:

  • To find the rate of reaction at a specific point on a rate graph, you need to calculate the gradient (slope) of the curve at that point.
  • Drawing a Tangent:
  • A tangent is a straight line that just touches the curve at a specific point without crossing it.
  • By drawing a tangent to the curve at the point where you want to find the rate, you can measure the change in the amount (y-axis) over the change in time (x-axis).
  • Calculating the Gradient:
  • The gradient (and hence the rate of reaction) is calculated as:
RateofReaction=ChangeinAmountChangeinTimeRate of Reaction=\frac{Change in Amount}{Change in Time}
  • This gives you the rate of reaction at that specific point in time.
lightbulbExample

Example:

  • If a tangent on a rate graph shows that 10 cmÂł of gas is produced over 2 seconds, the rate of reaction at that point is:
RateofReaction=10cm32s=:highlight[5cm3/s] Rate of Reaction= \frac{10cm^3}{2s} = :highlight[5cm^3/s]
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