Determining Rates of Reaction (SQA National 5 Chemistry): Revision Note

Exam code: X813 75

Richard Boole

Written by: Richard Boole

Reviewed by: Philippa Platt

Updated on

Average rate of reaction

  • The rate of a reaction tells us how fast a reaction is

  • The speed of a reaction changes over time

    • It's fastest at the start and slows down

  • So, we often measure the average rate over a specific time period

  • The average rate of reaction is the change in the amount of a reactant or product over a period of time

The average rate of reaction formula

  • The average rate of reaction is calculated using a formula from the SQA Chemistry Data Booklet:

average rate = fraction numerator straight capital delta q u a n t i t y over denominator straight capital delta t end fraction

  • Average rate is the speed of the reaction over a certain time period

  • Δquantity is the change in quantity

    • This is calculated by:

Δquantity = final quantity - initial quantity

  • Δt is the change in time.

    • This is calculated by:

Δt = final time - initial time

Working out the units

  • The units for the rate depend on the units used in the experiment

  • You work them out by simply putting the quantity unit "per" the time unit

  • For example:

    • If you measure volume in cm3 and time in s, the rate unit is cm3 s-1

    • If you measure mass in g and time in s, the rate unit is g s-1

Calculating average rate from a graph

Worked Example

Using the graph below, calculate the average rate of reaction, in cm3 s-1, for the first 20 seconds.

[2]

Line graph showing gas volume increasing over time, measured in cm³. The curve rises sharply initially then levels off, spanning 0 to 120 seconds.

Answer:

  1. Write the formula:

average rate = fraction numerator straight capital delta q u a n t i t y over denominator straight capital delta t end fraction

  1. Find the quantity and time values from the graph:

    • At t = 0 s, the volume = 0 cm3

      AND
      At t = 20 s, the volume = 15 cm3

  2. Calculate each change (Δ):

Δquantity = 15 - 0 = 15 cm3

Δt = 20 - 0 = 20 s

  1. Substitute into the formula and solve:

average rate = fraction numerator 15 space cm cubed over denominator 20 space straight s end fraction

[1 mark]

average rate = 0.75 cm3 s-1

[1 mark]

Examiner Tips and Tricks

An exam question might give you the rate and ask you to find the quantity or time.

Remember the formula triangle to help you rearrange the equation:

Triangle diagram for average rate calculations: top section shows "change in quantity," bottom sections show "average rate" and "change in time."
  • Δquantity = average rate x Δt

  • Δt = fraction numerator straight capital delta q u a n t i t y over denominator a v e r a g e space r a t e end fraction

Rates of Reaction over Time

  • The rate of a chemical reaction is not constant

  • By calculating the average rate at different stages, we can prove that a reaction slows down over time

Why the rate changes

  • A reaction's speed changes as it progresses:

  • At the start:

    • The rate is fastest

    • The concentration of reactants is high

    • So, the collisions are more frequent

  • In the middle:

    • The rate slows down

    • The reactants are being used up

    • So, collisions become less frequent

  • At the end:

    • The rate is zero

    • A reactant has run out

    • So, the reaction stops

Proving the rate decreases

  • We can use a reaction-rate graph to calculate the average rate during different periods of the reaction

    • This mathematically proves that the reaction slows down

Worked Example

Using the graph below, compare the rate in the first 20 seconds to the rate between 20 and 40 seconds.

[3]

Line graph showing gas volume increasing over time, measured in cm³. The curve rises sharply initially then levels off, spanning 0 to 120 seconds.
  1. Calculate the rate for the first 20 seconds (0 s to 20 s):

Δquantity = 15 - 0 = 15 cm3

Δt = 20 - 0 = 20 s

average rate = fraction numerator 15 space cm cubed over denominator 20 space straight s end fraction = 0.75 cm3 s-1

[1 mark]

  1. Calculate the rate between 20 seconds and 40 seconds:

    • From the graph, at 40 s the volume is 22.5 cm³.

Δquantity = 22.5 - 15 = 7.5 cm3

Δt = 40 - 20 = 20 s

average rate = fraction numerator 7.5 space cm cubed over denominator 20 space straight s end fraction = 0.375 cm3 s-1

[1 mark]

  1. Conclusion:

    • Since 0.75 cm3 s-1 (the rate from 0 - 20 s) is greater than 0.375 cm3 s-1 (the rate from 20 - 40 s), this proves that the rate of reaction decreases over time.

[1 mark]

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Richard Boole

Author: Richard Boole

Expertise: Chemistry Content Creator

Richard has taught Chemistry for over 15 years as well as working as a science tutor, examiner, content creator and author. He wasn’t the greatest at exams and only discovered how to revise in his final year at university. That knowledge made him want to help students learn how to revise, challenge them to think about what they actually know and hopefully succeed; so here he is, happily, at SME.

Philippa Platt

Reviewer: Philippa Platt

Expertise: Chemistry Content Creator

Philippa has worked as a GCSE and A level chemistry teacher and tutor for over thirteen years. She studied chemistry and sport science at Loughborough University graduating in 2007 having also completed her PGCE in science. Throughout her time as a teacher she was incharge of a boarding house for five years and coached many teams in a variety of sports. When not producing resources with the chemistry team, Philippa enjoys being active outside with her young family and is a very keen gardener