Some reactions are over in a flash, like a firework. Others take years, like iron rusting. The rate of a reaction tells us how fast it goes.
This matters in real life. Factories want products made quickly. Food companies want food that does not go off too fast. Understanding rate helps us control both.
By the end you will be able to calculate a mean rate and read a rate graph. You will explain what changes the rate using collisions between particles. You will also say what a catalyst does.
Calculating a mean rate
The rate of a reaction tells you how fast reactants are used up or products are made. It works like speed in a car, which is distance divided by time.
Mean rate = amount of reactant used or product formed ÷ time taken. Mean means average over the whole time.
Say 48 cm³ of gas is made in 60 seconds. The mean rate is 48 ÷ 60 = 0.80 cm³/s. The unit depends on what you measure: g/s for mass, cm³/s for gas volume and mol/s for amount.
Measuring rates and reading graphs
To follow a reaction that makes a gas, collect the gas in a syringe. Record the volume at regular times. Or stand the flask on a balance and record the mass lost. For a cloudy mixture, time how long a cross under the flask takes to disappear.
Plot the results as product against time. The line is steepest at the start, when the reactants are at their highest concentration. It flattens as they are used up. A flat line means the reaction has finished.
The steeper curve is the faster reaction. If both end at the same height, the same amount of product was made.
Bars showing the total volume of gas collected in cubic centimetres at 10 second intervals: 24, 40, 50, 56 and 58. The volume rises more slowly with time.
Collision theory
Particles can only react if they collide. The collision also needs enough energy. A gentle bump does nothing, but a hard crash does.
The minimum energy needed is called the activation energy. A collision with at least this much energy is a successful collision.
So the rate depends on two things. One is how often the particles collide, which is the frequency of collisions. The other is how many of the collisions have enough energy. Anything that raises either one makes the reaction faster.
Concentration, pressure and surface area
A higher concentration means more particles in the same volume. Think of a busy corridor between lessons. The more people packed in, the more often you bump into someone. The particles collide more often, so the rate goes up.
Pressure works the same way for gases. A higher pressure squashes the gas particles closer together. So they collide more often.
Breaking a solid into smaller pieces increases its surface area. More particles are exposed to collisions. Powdered marble reacts faster than marble chips of the same mass.
Temperature and catalysts
At a higher temperature the particles have more energy and move faster. They collide more often. A bigger fraction of the collisions also have enough energy to react. The second reason matters most.
A catalyst speeds up a reaction without being used up. It gives the reaction a different route with a lower activation energy. So more collisions are successful. The amount of product does not change.
Manganese dioxide is a catalyst for hydrogen peroxide breaking down: 2H₂O₂ → 2H₂O + O₂. Enzymes are biological catalysts.
The rate at a point in time
Higher tier. On a curve the rate keeps changing. To find the rate at one moment, draw a tangent. A tangent is a straight line that just touches the curve at that point.
The rate is the gradient of the tangent. Gradient = change in y ÷ change in x. Think of how steep a hill is: how far it rises for each step along.
Say a tangent at 20 s passes through (0, 10) and (40, 40). The gradient is (40 − 10) ÷ (40 − 0) = 30 ÷ 40 = 0.75 cm³/s. Choose two points far apart to be more accurate.
Recap
Mean rate = amount ÷ time. A steeper line on a graph means a faster reaction, and a flat line means it has finished.
A reaction needs collisions with at least the activation energy. More frequent or more energetic collisions give a faster rate.
Concentration, pressure, surface area and temperature all change the rate. A catalyst lowers the activation energy and is not used up.
The rate at one moment is the gradient of a tangent.
Key points
Mean rate = amount of reactant used or product formed ÷ time.
A steeper graph means a faster rate. A flat line means the reaction has finished.
Rate depends on how often particles collide and how many collisions have the activation energy.
Higher concentration, pressure, surface area, temperature and a catalyst all increase the rate.
Worked examples
Example 1
45 cm³ of gas is collected in 30 seconds. Calculate the mean rate of reaction.
mean rate = amount ÷ time.
Substitute: 45 ÷ 30.
Mean rate = 1.5 cm³/s.
Answer: 1.5 cm³/s
Common slips
Slip: 30 ÷ 45 = 0.67. The amount of gas goes on the top and the time on the bottom.
Slip: 45 × 30 = 1350. A rate is found by dividing, not multiplying.
Slip: The mean rate is 15 cm³/s. 45 ÷ 30 is 1.5, not 15.
Example 2
Explain why powdered calcium carbonate reacts faster with hydrochloric acid than marble chips of the same mass.
Powder has a larger surface area than chips.
More particles of calcium carbonate are exposed to the acid.
So there are more collisions per second, which makes the reaction faster.
Answer: Powder has a larger surface area, so more collisions happen each second.
Common slips
Slip: Powder has more particles. The mass is the same, so the number of particles is the same. The surface area is different.
Slip: The acid is more concentrated. The acid is the same. The solid changed.
Slip: The powder has less activation energy. The activation energy is the same. More collisions occur.
Example 3
The volume of gas collected is 40 cm³ at 20 s and 56 cm³ at 40 s. Calculate the mean rate between 20 s and 40 s and explain why it is lower than the mean rate over the first 20 s.
Over the first 20 s the rate was 40 ÷ 20 = 2.0 cm³/s.
The rate falls because the reactants are used up, so their concentration is lower and there are fewer collisions.
Answer: 0.80 cm³/s, which is lower because the reactants are being used up
Common slips
Slip: Rate = 56 ÷ 40 = 1.4. Use the change in volume and the change in time between the two readings.
Slip: The rate is lower because the temperature fell. The reactants being used up is the usual reason.
Slip: Rate = (56 − 40) ÷ 40 = 0.4. The time interval is 40 − 20 = 20 s.
Questions and answers
Rates of reaction and catalysts practice questions for GCSE Combined Science Chemistry. Try each one, then open the answer. Easy questions come first.
Question 1 Easy
A reaction makes 60 cm³ of gas in 30 seconds. Calculate the mean rate in cm³/s.
Show answer
Answer: 2.0 cm³/s
Rate = volume ÷ time.
60 ÷ 30 = 2.
Question 2 Easy
What does a flat line at the end of a graph of product against time show?
Show answer
Answer: the reaction has finished
No more product is made.
The reaction has stopped.
Question 3 Easy
Name the term for the minimum energy that particles need to react.
Show answer
Answer: activation energy
It must be reached in a collision.
It is the activation energy.
Question 4 Easy
Does a catalyst get used up in a reaction? Answer yes or no.
Show answer
Answer: no
A catalyst is not used up.
It can be used again.
Question 5 Easy
Does increasing the temperature make a reaction faster or slower?
Show answer
Answer: faster
Particles move faster at a higher temperature.
So the reaction is faster.
Question 6 Easy
Which has the larger surface area, a lump of marble or the same mass of marble powder?
Show answer
Answer: the powder
Powder is made of tiny pieces.
So the powder has the larger surface area.
Question 7 Medium
A balance shows a mass loss of 0.90 g in 180 s. Calculate the mean rate in g/s.
Show answer
Answer: 0.0050 g/s
Rate = 0.90 ÷ 180.
= 0.0050 g/s.
Question 8 Medium
The volume of gas at 10 s is 24 cm³ and at 30 s is 50 cm³. Calculate the mean rate between 10 s and 30 s.
Show answer
Answer: 1.3 cm³/s
Rate = (50 − 24) ÷ (30 − 10).
26 ÷ 20 = 1.3.
Exam-style questions
Longer questions in the style of a written paper, with the marking points. These are Yumio practice questions.
Exam-style question 14 marks
A student reacts magnesium with dilute hydrochloric acid and measures the volume of hydrogen made. 36 cm³ of gas is collected in the first 20 seconds.
(a) Calculate the mean rate of reaction in cm³/s over the first 20 s. [2 marks]
(b) The experiment is repeated with the same mass of magnesium powder. Explain why the reaction is faster. [2 marks]
Show answer and marking points
Answer: (a) 1.8 cm³/s (b) The powder has a larger surface area, so there are more collisions each second.
(a) 36 ÷ 20 (1)
(a) 1.8 cm³/s (1)
(b) larger surface area (1)
(b) more frequent collisions (1)
Exam-style question 26 marks
Explain, in terms of particles, how the rate of reaction between zinc and hydrochloric acid changes when (i) the acid is made more concentrated, and (ii) the temperature is increased. [6 marks]
Show answer and marking points
Answer: (i) A more concentrated acid has more acid particles in the same volume, so the particles collide with zinc more often. There are more collisions per second, so a faster rate. (ii) A higher temperature gives the particles more energy, so they move faster and collide more often. More importantly, a greater proportion of the collisions have energy equal to or greater than the activation energy, so more collisions are successful and the rate is faster.
more particles in the same volume (1)
more frequent collisions so a faster rate (1)
particles have more energy and move faster at a higher temperature (1)
collisions are more frequent (1)
more collisions have energy greater than the activation energy (1)
so more successful collisions each second and a faster rate (1)
Common mistakes
Saying a catalyst is used up
A catalyst is not used up. It lowers the activation energy.
Saying a higher temperature lowers the activation energy
The activation energy stays the same. More particles have enough energy.
Saying more concentrated means the particles move faster
Concentration changes how close the particles are, not their speed.
Dividing time by amount to find the rate
Rate = amount ÷ time.
Questions students ask
Is Rates of reaction and catalysts on the Foundation or Higher tier?
Rates of reaction and catalysts is on both Foundation and Higher papers for GCSE Combined Science Chemistry, aimed at around grade 5.
What is a common mistake on Rates of reaction and catalysts?
Saying a catalyst is used up. A catalyst is not used up. It lowers the activation energy.
Where are the answers to the Rates of reaction and catalysts questions?
Open Show answer under each question on this page. The questions are Yumio practice questions, not past exam questions.