Rate of Reaction (DP IB Chemistry): Revision Note
Rate of reaction
What is rate of reaction?
Some chemical reactions happen instantly, but most occur more slowly
It's possible to measure how long a reaction takes to reach a certain stage
As a reaction progresses, the concentration of reactants decreases while the concentration of products increases
Note: Reversible reactions behave differently, once dynamic equilibrium is reached, the concentrations of reactants and products remain constant
The rate of a reaction refers to how quickly a chemical reaction occurs. It is usually defined as the change in concentration of a reactant or product per unit of time.
The units of rate of reaction are typically mol dm⁻³ s⁻¹
How to calculate rate of reaction
The rate of reaction formula is:
Experimental data from reactions can be shown graphically and used to calculate the rate of reaction
Rate of reaction graphs

The steeper the gradient, the quicker the rate of reaction
The rate of reaction at a particular time can be found by calculating the gradient of the curve at that time
To find the gradient of a curve, draw the tangent to the curve and calculate the gradient of the tangent by using the equation:
Examiner Tips and Tricks
The rate of reaction is a positive value
The graph of the reactants' concentration over time shows a negative gradient
So, the sign of the rate should be altered to be a positive value
E.g. gradient = –20.6 mol dm-3 s-1 → rate = 20.6 mol dm-3 s-1
The graph of the products' concentration over time shows a positive gradient
So, the sign of the rate will already be a positive value and not need altering
Worked Example
Iodine and methanoic acid react in aqueous solution.
I2 (aq) + HCOOH (aq) → 2I− (aq) + 2H+ (aq) + CO2 (g)
The rate of reaction can be found by measuring the volume of carbon dioxide produced per unit time and plotting a graph as shown:

Calculate the rate of reaction at 20 seconds.
Answer:
Draw a tangent to the curve at 20 seconds:

Complete the triangle and read off the values of x and y
Determine the gradient of the line using ∆y / ∆x
Rate of reaction = 24 / 40 = 0.60 cm3 s-1
Examiner Tips and Tricks
When drawing the tangent to a curve, you should:
Make the triangle large
Try to intersect with gridlines if you can
These points should minimise errors of precision and reduce the chance you will accidentally misread the graph values
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