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Reversible reactions and equilibrium

Some reactions can run backwards as easily as forwards. In a closed container they settle into a balance where both directions happen at once. Learning to shift that balance is how industry makes the ammonia behind half the world's food.

Recommended for MYP 5 · eAssessment priority · About 3 lessons · Criteria A, B, C and D

0100200300400pressure / atm010203040506070yield of ammonia / %350 °C450 °C550 °C
Figure 1. Higher pressure and lower temperature give a higher yield of ammonia at equilibrium.
On this page
  1. Learning objectives
  2. Before you start
  3. Key vocabulary
  4. Understanding equilibrium
  5. Shifting an equilibrium
  6. Equilibrium in the real world
  7. Worked examples
  8. In the eAssessment
  9. Check your understanding
  10. Practice questions
  11. Investigation
  12. Criterion-linked questions
  13. Challenge questions
  14. Topic check
  15. Review your mistakes
  16. Your progress

Learning objectives

By the end of this topic you should be able to:

  • describe reversible reactions and the energy changes in each direction
  • explain dynamic equilibrium in a closed system
  • predict how temperature, pressure and concentration shift an equilibrium
  • explain the effect of a catalyst on rate and yield
  • explain the compromise conditions used in the Haber process
  • evaluate the impacts of ammonia and fertilisers

Before you start

You will use these skills. If any feel shaky, review them first.

  • exothermic and endothermic reactions (see Energy changes)
  • factors affecting rate of reaction (see Rates of reaction)
  • balancing equations and state symbols

Key vocabulary

Reversible reaction
A reaction that can go in both directions, shown by ⇌.
Dynamic equilibrium
The state in a closed system where forward and reverse reactions happen at equal rates, so amounts stay constant.
Position of equilibrium
How far the equilibrium lies towards reactants or products.
Yield
The amount of product obtained, often as a percentage of the maximum possible.
Closed system
A system where no substances can enter or leave.
Haber process
The industrial reaction of nitrogen and hydrogen to make ammonia.

Understanding equilibrium

  1. What is it?

    In a reversible reaction, products can react to re-form the reactants. If one direction is exothermic, the other is endothermic by the same amount: heating blue hydrated copper sulfate drives off water, and adding water back to the white solid releases heat.

  2. Why does it reach a balance?

    In a closed system the forward reaction starts fast and slows as reactants are used up, while the reverse reaction speeds up as products build up. When the two rates are equal, the amounts stop changing: a dynamic equilibrium.

  3. How do we know?

    Colour changes (such as the cobalt chloride and nitrogen dioxide equilibria) show the position shifting when conditions change. Experiments with isotopes show that atoms keep moving between reactants and products even at equilibrium.

  4. Why does it matter?

    Industry must choose conditions that give enough product, fast enough, at an acceptable cost. The Haber process, developed by Fritz Haber and Carl Bosch in the early 1900s, makes ammonia for fertilisers that feed about half the world's population.

  5. What does it connect to?

    Equilibrium links to rates of reaction and energy changes in chemistry; to oxygen binding in blood and ocean carbon dioxide in biology and Earth science; and to economics and sustainability.

Shifting an equilibrium

When conditions change, the equilibrium shifts to oppose the change:

  • Concentration: adding a reactant (or removing a product) shifts it towards the products.
  • Temperature: raising it favours the endothermic direction; lowering it favours the exothermic direction.
  • Pressure (gases): raising it favours the side with fewer gas molecules.
  • Catalyst: no shift; equilibrium is simply reached faster.

The Haber process: N₂ + 3H₂ ⇌ 2NH₃ (forward reaction exothermic). About 450 °C (a compromise between yield and rate), about 200 atm (a compromise between yield and cost), an iron catalyst, and ammonia removed and unreacted gases recycled.

Equilibrium in the real world

Pakistan and many other countries produce nitrogen fertilisers such as urea from ammonia made by the Haber process. Photochromic sunglass lenses darken in sunlight and clear indoors because of a reversible reaction. The oxygen carried by haemoglobin in your blood is released in tissues because its binding is reversible.

Worked examples

Example 1: predicting a shift

For 2SO₂(g) + O₂(g) ⇌ 2SO₃(g) (forward exothermic), predict the effect of raising the pressure.

  1. Count gas molecules: 3 on the left, 2 on the right.
  2. Higher pressure favours the side with fewer gas molecules.
  3. The equilibrium shifts right, so the yield of SO₃ increases.

Example 2: a percentage from data

5.00 g of hydrated salt leaves 3.20 g after heating to constant mass. Find the percentage of water.

  1. Water lost = 5.00 − 3.20 = 1.80 g.
  2. Percentage = 1.80 ÷ 5.00 × 100 = 36%.

In the eAssessment

Equilibrium questions test clear reasoning about direction and cause. Expect:

  • Predict shifts using temperature, pressure, concentration and energy changes, and justify them.
  • Separate rate and yield, especially for catalysts and temperature.
  • Interpret graphs of yield against conditions, and explain industrial compromises.
  • Discuss fertilisers and green ammonia, weighing food, cost and environment.

Common ways to lose marks: saying the reaction stops at equilibrium; saying there are equal amounts at equilibrium; saying a catalyst increases the yield; and forgetting to count gas molecules for pressure.

Check your understanding

Quick questions on the ideas above. Try each one before using a hint.

Practice questions

Show

Investigation: how much energy does hydration release?

Partially guided investigation · about 45 minutes · pairs

Research question
How does the mass of anhydrous copper sulfate (1, 2, 3, 4 and 5 g) added to 20 cm³ of water affect the temperature rise?
Scientific background
Adding water to anhydrous copper sulfate is the exothermic reverse of dehydration. The more solid that reacts, the more energy is released into the water.
Hypothesis
Write your own prediction, with a scientific justification.
Variables
Identify your independent, dependent and control variables, and explain how you will control them.
Apparatus
Anhydrous copper sulfate, balance, polystyrene cup in a beaker, measuring cylinder, thermometer or temperature probe, stirring rod.
Method
  1. Measure 20 cm³ of water into the polystyrene cup and record its temperature.
  2. Add a weighed mass of anhydrous copper sulfate, stir and record the highest temperature.
  3. Repeat for each mass with fresh water, twice each, and calculate the mean temperature rise.
  4. Plot the mean temperature rise against mass.

Safety. Wear eye protection and gloves. Copper sulfate is harmful if swallowed and an irritant to eyes and skin; avoid raising dust and wash hands afterwards. Dispose of solutions as your teacher directs, not down the sink.

Then evaluate: where was energy lost, and how could your method reduce this?

Criterion-linked questions

Criterion B: inquiring and designing

Criterion C: processing and evaluating

Criterion D: reflecting on the impacts of science

Challenge questions

Harder problems in unfamiliar contexts. Plan before you calculate.

Topic check

Five questions picked at random from the whole topic. Take a new set whenever you like.

Review your mistakes

Questions you got wrong on this device appear here so you can try them again. Answer one correctly and it leaves the list.

Your progress

Tracked separately for each skill, on this device only.

SkillCorrectStatus

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