Reversible Reactions

Reversible reactions for K324 / 6092: forward and backward reactions, the Haber equation, and interpreting industrial temperature, pressure and catalyst data.

  • SEC G3 Pure Chemistry 2027
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Many reactions you have met are written with a one-way arrow. The Haber reaction needs a different symbol: ammonia can form from nitrogen and hydrogen, and ammonia can also break down into those gases. In this lesson, read that symbol and use supplied data to judge industrial choices. You do not need to predict equilibrium changes using Le Chatelier’s principle.

1. Definition

A reversible reaction can proceed in both directions under suitable conditions:

  • the forward reaction converts reactants into products;
  • the backward reaction converts products back into reactants.

The paired arrow, ⇌, shows that both directions are possible. It does not mean that reactants and products are present in equal amounts.

Syllabus focus

Be able to recognise a reversible equation and interpret data about industrial conditions. Detailed equilibrium calculations are not required on this page.

2. Key Ideas

Two questions help you read reversible-reaction data:

  • How quickly does the mixture change? This is a question about reaction rate.
  • What mixture is eventually reached? This is a question about equilibrium composition.

In a closed mixture at fixed conditions, dynamic equilibrium is reached when the forward and backward reactions have equal rates. Both reactions continue, but there is no overall change in the amounts present. Equal rates do not mean equal amounts.

A catalyst speeds up both directions and helps the mixture reach equilibrium sooner. At the same temperature and pressure, it does not change the equilibrium composition. It may give more product within a short time when the uncatalysed mixture has not yet reached equilibrium.

Forward and backward reactions

The paired arrow describes two possible chemical directions. It does not show how much of each substance is present or which direction is faster.

3. Detailed Explanations

A. Haber Process: the syllabus case study

Nitrogen and hydrogen react reversibly to form ammonia:

N₂(g) + 3H₂(g) ⇌ 2NH₃(g)

The equation is balanced: one nitrogen molecule and three hydrogen molecules form two ammonia molecules. All species are gases in the reactor.

The full feedstock, reactor, separation and recycling sequence belongs in Manufacturing Ammonia. Here, use the equation only as the main example of reversibility.

B. Interpreting industrial-condition data

Read the axes and caption before choosing conditions. The following constructed graph shows equilibrium ammonia content: ammonia as a percentage of the gas mixture, not percentage yield calculated from a theoretical mass. Each point uses the same initial nitrogen:hydrogen feed ratio of 1:3, with no ammonia in the initial feed.

Haber process: reading supplied equilibrium data

Equilibrium ammonia content is plotted against pressure for a lower and a higher temperature. At 100 atm the lower-temperature value is 18%; at 250 atm it is 31%. At 200 atm the two temperatures give 28% and 20% respectively.

Scroll across the graph to read all labels.

Equilibrium ammonia content is plotted against pressure for a lower and a higher temperature. At 100 atm the lower-temperature value is 18%; at 250 atm it is 31%. At 200 atm the two temperatures give 28% and 20% respectively.Equilibrium ammonia content is plotted against pressure for a lower and a higher temperature. At 100 atm the lower-temperature value is 18%; at 250 atm it is 31%. At 200 atm the two temperatures give 28% and 20% respectively.
Constructed practice data from an illustrative ideal-gas equilibrium model, rounded to whole percentages, for an initial 1:3 nitrogen–hydrogen feed with no ammonia. Each point represents equilibrium at the stated pressure and one of two temperatures; lines join the points to help comparison. These are not measured plant data or operating recommendations.
Open full-size graph
View figure data
Values for Haber process: reading supplied equilibrium data
Pressure (atm)Lower temperatureHigher temperature
50117
1001812
1502316
2002820
2503123

To compare pressures, stay on one temperature curve. To compare temperatures, use points at the same pressure. At 200 atm, for example, the lower-temperature curve shows 28% ammonia and the higher-temperature curve shows 20%.

The graph shows no reaction times, energy costs or equipment costs. Those need separate evidence. A greater equilibrium ammonia content does not by itself tell you how much ammonia a factory produces per hour.

Evidence supplied separatelyWhat it helps you judge
a faster reaction at higher temperaturehow quickly ammonia can be produced; compare this with the equilibrium-composition data
greater compression energy and stronger equipment at higher pressurethe extra operating and equipment costs
faster approach to equilibrium with ironthe rate benefit of a catalyst; the equilibrium composition at the same conditions stays unchanged
How to judge industrial conditions

Give the benefit supported by the data, then the relevant drawback. A useful condition must meet the production need while accounting for costs and safety. There is no universal rule to choose the highest, lowest or middle value.

4. Common Mistakes

  • Reading ⇌ as “equal amounts” instead of “both directions are possible”.
  • Saying a catalyst increases the equilibrium amount of ammonia. At unchanged conditions, it helps the mixture reach the same equilibrium composition sooner.
  • Claiming the highest temperature is automatically best because it gives the fastest rate; industrial choices also consider yield, cost and safety.
  • Treating equation coefficients as the actual mixture composition. They give the reacting ratio, not the amounts present in the reactor at a particular time.
  • Treating a supplied trend graph as an experiment you performed. Quote only what the data shows.

5. Exam Tips

Data-response sentence frame

“As [condition] increases, the data show [trend]. This improves [rate or equilibrium ammonia content], but [cost, safety or yield trade-off]. Therefore the chosen condition is a compromise.”

  • Include units when quoting values from a table or graph.
  • Compare like with like: identify which variable is controlled and which is changed.
  • State whether you are discussing rate, equilibrium composition, or overall use of raw materials. Percentage yield is a separate calculation comparing actual with theoretical product.
  • For the full Haber-process lesson, continue to Manufacturing Ammonia.

6. Worked Examples

Modelled example 1

Read the arrow

Core

Problem

What does the arrow in N₂(g) + 3H₂(g) ⇌ 2NH₃(g) show?
Study the worked solution
  1. Read the forward direction

    Method

    Describe nitrogen and hydrogen forming ammonia.

    Reason

    The left-to-right arrow represents the forward reaction.

    Working

    N₂ + 3H₂ → 2NH₃.
  2. Read the backward direction

    Method

    Describe ammonia forming nitrogen and hydrogen under suitable conditions.

    Reason

    The paired arrow states that the chemical change can proceed in reverse.

    Working

    2NH₃ → N₂ + 3H₂; the reaction is reversible.

Guided practice 2

Interpret temperature data

About 6 min

Problem

Use the graph at 200 atm. A separate rate trial shows that the higher-temperature condition produces ammonia faster. Explain why neither condition can be chosen from the equilibrium graph alone.

Weigh both trends

Low temperature
High temperature

Hints

Hint 1: do not optimise one measure
Compare composition at the same pressure. Then use the separate rate evidence: the condition with more ammonia at equilibrium may react too slowly for the production target.
View solution step by step
  1. State the opposing effects

    Method

    Compare the ammonia contents at 200 atm, then add the separate rate evidence.

    Reason

    The graph gives equilibrium composition; the rate trial gives speed. They measure different things.

    Working

    Lower temperature: 28% ammonia, slower reaction. Higher temperature: 20% ammonia, faster reaction.
  2. Justify the compromise

    Method

    Find out whether each condition meets the required production rate and what it costs.

    Reason

    Neither the graph nor “faster” alone establishes which condition is most useful.

    Working

    Choose a condition only after weighing rate, equilibrium composition and cost. A middle temperature is not automatically best.

Common misconception 3

Catalyst trap

Find and correct the mistake

Claim to correct

Correct: “At the same temperature and pressure, iron increases the equilibrium amount of ammonia.”

Separate speed from final composition

Supported effect
Equilibrium composition

View solution step by step
  1. State the kinetic role

    Method

    Describe iron as a catalyst providing a lower-activation-energy pathway.

    Reason

    This increases reaction rate and reaches equilibrium sooner.

    Working

    Iron speeds forward and backward reactions.

  2. Remove the unsupported yield claim

    Method

    Do not claim that iron increases equilibrium yield.

    Reason

    A catalyst does not shift the equilibrium position.

    Working

    Iron helps the mixture reach the same equilibrium composition sooner.

Examiner practice 4

Interpret pressure data

3 marks

Exam-style practice

Use the lower-temperature curve to compare 100 atm with 250 atm. Compressing to 250 atm requires more energy and stronger equipment. State one benefit shown by the graph, one drawback and whether these facts alone establish that 250 atm is the better industrial choice. [3 marks]

Balance production with cost and safety

View solution step by step
  1. State a production benefit

    1 mark

    Method

    Read the ammonia content at the two pressures on the same curve.

    Reason

    Temperature and initial feed composition are held constant, so this is a pressure comparison.

    Working

    Ammonia content rises from 18% to 31%: an increase of 13 percentage points.
  2. State an industrial drawback

    1 mark

    Method

    Use the stated extra compression energy or stronger equipment.

    Reason

    Operating safely at higher pressure needs more energy and stronger equipment.

    Working

    Drawback: greater cost/energy/safety demand.
  3. Reach a balanced conclusion

    1 mark

    Method

    Weigh the extra ammonia content against the extra costs; more evidence is needed to choose.

    Reason

    The graph does not provide rates, costs or the required production target.

    Working

    250 atm gives more ammonia at equilibrium, but these facts alone do not establish the better operating pressure.

Guided practice 5

Process interpretation

About 6 min

Follow the process

Why are nitrogen and hydrogen recycled after ammonia has been condensed?

Connect equilibrium to the process loop

Why gases remain
Benefit of recycling

Hints

Hint 1: one pass is incomplete
The reactor outlet contains ammonia and unreacted feed gases. Condensing ammonia separates it from those gases.
View solution step by step
  1. Explain the unreacted gases

    Method

    State that one pass does not convert all N₂ and H₂.

    Reason

    The reaction is reversible, and the mixture leaving this reactor still contains reactants. Do not assume a practical reactor has necessarily reached equilibrium.

    Working

    Unreacted feed remains after ammonia condensation.
  2. Explain recycling

    Method

    Return those gases to the reactor.

    Reason

    Repeated opportunities to react improve overall use and reduce waste.

    Working

    N₂ and H₂ are recycled.

7. Mind Stretchers

Mind stretcher 1: Distinguish reaction from processExtension

A reactor is fed 100 mol of nitrogen and 300 mol of hydrogen. In one pass, 40 mol of nitrogen reacts according to N₂ + 3H₂ ⇌ 2NH₃. A separator then removes all the ammonia formed. Calculate the amounts of nitrogen and hydrogen available for recycling, and explain why recycling helps.

Show Answer

The reaction uses 3 × 40 = 120 mol of hydrogen and forms 2 × 40 = 80 mol of ammonia. The separator removes the ammonia. The unreacted gases are 100 - 40 = 60 mol of nitrogen and 300 - 120 = 180 mol of hydrogen. Recycling gives these gases another opportunity to react, improving overall use of the feed. It does not mean that all reactants were converted in the first pass.

Mind stretcher 2: Compare early and equilibrium resultsExtension

Two identical closed mixtures start with the same amounts of nitrogen and hydrogen. They are kept at the same temperature and volume; only mixture B has an iron catalyst. The table gives illustrative results. Both mixtures have reached equilibrium by 120 minutes.

Time / minAmmonia in A / molAmmonia in B / mol
50.100.60
300.400.80
1200.800.80

A student uses the 5-minute results to claim that iron increases the equilibrium amount of ammonia. Explain why the claim is wrong, using the data.

Show Answer

At 5 minutes, B contains more ammonia (0.60 mol compared with 0.10 mol), showing a faster approach to equilibrium. Those early results are not equilibrium amounts. By 120 minutes, both mixtures contain 0.80 mol of ammonia at equilibrium. Iron helps equilibrium be reached sooner, but has not changed the final equilibrium amount under these fixed conditions.

Practise and check

Practise and check

Continue with the Acid–Base Chemistry topic check to practise reversible reactions and Haber-process decisions.

Open the topic check
Syllabus and review details

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