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6.3 Dynamic equilibria

6.3 Dynamic equilibria

6.3.1 The Haber process as a reversible reaction

Ammonia is formed from nitrogen and hydrogen

  1. The Haber process brings nitrogen and hydrogen together to form ammonia.
  2. The equation is written with the reversible arrow: N2(g)+3H2(g)⇌2NH3(g)\text{N}_2(\text{g}) + 3\text{H}_2(\text{g}) \rightleftharpoons 2\text{NH}_3(\text{g})N2​(g)+3H2​(g)⇌2NH3​(g)
  3. One molecule of nitrogen combines with three of hydrogen to give two of ammonia.
  4. Both reactants are gases, and so is the ammonia formed.
  5. Ammonia is the starting point for fertiliser manufacture, which is why the process matters.
Key Idea

The double arrow is the whole point of this reaction: the ammonia can break apart again.

The reaction runs in both directions at once

Definition

Reversible reaction

A reaction in which the products can react together to re-form the reactants, shown by the symbol ⇌.

  1. Nitrogen and hydrogen combine, and at the same time ammonia breaks back down into them.
  2. The forward reaction forms ammonia and the backward reaction destroys it.
  3. Once some ammonia has formed, both run simultaneously under the same conditions.
  4. As ammonia builds up, the backward reaction speeds up.
  5. As nitrogen and hydrogen are used up, the forward reaction slows down.
Note

A single arrow is the convention for a reaction that goes essentially to completion, which this one does not.

The mixture reaches a dynamic equilibrium

Definition

Dynamic equilibrium

The state of a reversible reaction in a closed system in which the forward and backward reactions happen at the same rate, so the amounts of reactants and products stay constant.

  1. The two rates eventually become equal, and the amounts then stop changing.
  2. Both reactions are still running at that point, which is what dynamic means.
  3. The mixture at equilibrium holds ammonia together with unreacted nitrogen and hydrogen.
  4. The reactor is sealed while the gases are inside it, which is what allows equilibrium to be reached.
  5. Reaching equilibrium sooner does not change what the equilibrium mixture holds.
Common Mistake

Equilibrium means unchanging amounts, not equal amounts of reactants and products.

No single pass converts all of the reactants

  1. Because the backward reaction is always running, some nitrogen and hydrogen remain.
  2. The proportion converted in one pass is therefore well below one hundred percent.
  3. Ammonia is separated by cooling the mixture until it condenses to a liquid.
  4. The nitrogen and hydrogen stay as gases and are recycled into the reactor.
  5. Recycling means the raw materials are eventually used up even though each pass converts only part.
Example
  • Leaving the reactor: ammonia mixed with unreacted nitrogen and hydrogen.
  • After cooling: liquid ammonia run off, the two gases returned to the reactor.

A reversible reaction is still worth running

  1. A low conversion per pass would waste raw material if the gases were simply discarded.
  2. Recycling removes that objection, so the overall use of raw material is efficient.
  3. The nitrogen is drawn from the air, which costs nothing but the energy to separate it.
  4. Running the reaction continuously rather than in batches keeps the plant working at full output.
  5. The scale of world demand for fertiliser is what makes the process worth the energy it uses.
Self review
  • Write the equation for the Haber process, including the correct arrow.
  • What does the reversible arrow tell you about ammonia in the reactor?
  • What happens to the backward rate as ammonia builds up?
  • What does the mixture at equilibrium contain?
  • How are the unreacted gases dealt with?

6.3.2 Conditions and rate in industrial equilibria

Rate of attainment is how quickly equilibrium is reached

  1. The rate of attainment of equilibrium is how long the mixture takes to settle.
  2. It is a separate question from the position of the equilibrium, which is what the mixture settles at.
  3. A change can affect the rate, the position, or both.
  4. Anything that makes particles collide more often, or more energetically, makes equilibrium arrive sooner.
  5. An industrial process needs an acceptable yield in an acceptable time, so both questions are asked together.
Key Idea

Reaching equilibrium faster produces more per hour, while shifting the position produces more per pass.

Temperature and pressure act on rate and on position

  1. Raising the temperature gives particles more energy, so equilibrium is reached sooner.
  2. Raising the temperature also shifts the position towards the endothermic direction.
  3. For the Haber process the forward reaction is exothermic, so a higher temperature lowers the yield.
  4. Raising the pressure pushes gas particles closer together, so collisions are more frequent and equilibrium comes sooner.
  5. Raising the pressure also shifts the position towards the side with fewer gas molecules, which is ammonia.
Common Mistake

Temperature is the change that pulls in opposite directions, helping the rate but hurting the yield.

Concentration and catalysts act on the rate

Definition

Catalyst

A substance that speeds up a reaction without being used up in the reaction.

  1. Raising the concentration of a reactant makes collisions more frequent, so equilibrium is reached sooner.
  2. A catalyst provides a different route with a lower activation energy, which speeds the reaction up.
  3. It speeds the forward and backward reactions by the same factor.
  4. Because both rates rise together, the composition at which they become equal is unchanged.
  5. A catalyst therefore brings equilibrium sooner without altering the yield at all.
Note

Nothing about a catalyst makes a reaction give more product, only the same product sooner.

The Haber conditions are a compromise

  1. A low temperature would give the best yield, because the forward reaction is exothermic.
  2. At a low temperature the reaction would be far too slow to be worth running.
  3. 450 ∘C450\ ^{\circ}\text{C}450 ∘C is chosen as a compromise, accepting a lower yield for a workable rate.
  4. A high pressure helps both the yield and the rate, so pressure is pushed as far as is practical.
  5. 200200200 atmospheres is chosen because higher pressures need stronger, costlier plant and are more dangerous.
Example
  • Temperature 450 ∘C450\ ^{\circ}\text{C}450 ∘C: yield sacrificed for rate.
  • Pressure 200200200 atmospheres: as high as cost and safety allow.
  • Iron catalyst: rate raised at no cost to yield.

Cost of raw materials and energy shapes the choice

  1. Maintaining a high temperature and a high pressure both consume energy that has to be paid for.
  2. Stronger vessels and compressors raise the capital cost of building the plant.
  3. Nitrogen from the air is effectively free, while hydrogen from natural gas carries a real cost.
  4. Recycling the unreacted gases means a modest conversion per pass is acceptable.
  5. The conditions chosen are the ones that make the product at the lowest overall cost, not the ones that give the highest yield.
Exam technique
  • An answer separates the effect on rate from the effect on position before drawing any conclusion.
  • A compromise is explained by naming what is gained and what is given up.
  • Cost is quoted as energy, plant and raw materials, rather than as cost in general.
Self review
  • What is meant by the rate of attainment of equilibrium?
  • How does raising the pressure affect the rate and the position for the Haber process?
  • Why does a catalyst not change the yield?
  • Why is 450 ∘C450\ ^{\circ}\text{C}450 ∘C described as a compromise?
  • Give two costs that limit the pressure used.

6.3.3 Fertilisers and the preparation of ammonium sulfate

Fertilisers supply the elements plants need

Definition

Fertiliser

A substance added to soil to supply plants with the elements they need to grow.

  1. Growing crops take nitrogen, phosphorus and potassium out of the soil.
  2. A fertiliser returns those elements as soluble compounds that roots can absorb.
  3. Nitrogen compounds support leaf growth, so they are the largest part of most fertilisers.
  4. Compounds of phosphorus and potassium are supplied alongside them.
  5. A compound only works as a fertiliser if it dissolves, because roots take up solutions.
Key Idea

Ammonium salts are valuable fertilisers because they are soluble and rich in nitrogen.

Ammonia reacts with nitric acid to give a fertiliser salt

Definition

Neutralisation

The reaction in which hydrogen ions from an acid join with hydroxide ions from an alkali to form water.

Definition

Salt

The compound formed when the hydrogen ion of an acid is replaced by a metal ion or an ammonium ion.

  1. Ammonia solution is an alkali, so it reacts with an acid to form a salt.
  2. Ammonia and nitric acid give ammonium nitrate: NH3+HNO3→NH4NO3\text{NH}_3 + \text{HNO}_3 \rightarrow \text{NH}_4\text{NO}_3NH3​+HNO3​→NH4​NO3​
  3. Ammonium nitrate is especially valuable because both of its ions supply nitrogen.
  4. Ammonia is unusual among bases in giving a salt and no water.
  5. Being soluble, it dissolves in soil water and reaches the roots of the crop.
Note

A reaction between an acid and a base normally gives a salt and water, and ammonia is the exception.

Preparing ammonium sulfate in the laboratory

Definition

Titration

A method that finds the exact volume of one solution that reacts with a measured volume of another.

Definition

Crystallisation

A method that obtains a dissolved solid from its solution by evaporating some of the solvent and letting crystals form as the solution cools.

  1. A measured volume of ammonia solution is placed in a flask with a few drops of indicator.
  2. Dilute sulfuric acid is added from a burette until the indicator just changes colour.
  3. The reaction taking place is: 2NH3+H2SO4→(NH4)2SO42\text{NH}_3 + \text{H}_2\text{SO}_4 \rightarrow (\text{NH}_4)_2\text{SO}_42NH3​+H2​SO4​→(NH4​)2​SO4​
  4. Repeating the run with the same volumes and no indicator keeps the product uncontaminated.
  5. The solution is evaporated to the point of crystallisation and left to form crystals, which are then dried.
Common Mistake
  • Ammonium salts decompose on strong heating, so the solution is warmed gently and never boiled dry.
  • Ammonia solution gives off a choking vapour, so it is handled in a well ventilated place.

Producing ammonium sulfate industrially

  1. Industry makes the same salt from ammonia and sulfuric acid, but on a far larger scale.
  2. The ammonia has first to be manufactured from nitrogen and hydrogen by the Haber process.
  3. The sulfuric acid has to be manufactured from its own raw materials in several stages.
  4. The neutralisation is therefore only the last step of a much longer sequence.
  5. The process runs continuously, with the reactants flowing in and the product flowing out.
Example
  • Laboratory: one flask, one titration, a few grams of crystals.
  • Industry: several linked plants, running continuously, producing tonnes.

Comparing the two scales

  1. The chemistry is the same in both cases, and so is the equation.
  2. The laboratory route uses bought-in ammonia and acid, while industry manufactures both.
  3. A laboratory preparation is a batch, made once and then worked up.
  4. Industry runs continuously, because starting and stopping a large plant wastes energy.
  5. Purification differs too: crystals are filtered and dried by hand, while industry uses large scale separation.
Self review
  • Which three elements do fertilisers supply?
  • Why must a fertiliser compound be soluble?
  • Write the equation for ammonia reacting with nitric acid.
  • Why is the titration repeated without indicator?
  • Give two ways in which the industrial production differs from the laboratory preparation.

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The Haber process reacts nitrogen with hydrogen to manufacture ammonia, an important starting material for fertilisers. All three substances are gases under the reaction conditions.

N2(g)+3H2(g)⇌2NH3(g) \text{N}_2(\text{g}) + 3\text{H}_2(\text{g}) \rightleftharpoons 2\text{NH}_3(\text{g}) N2​(g)+3H2​(g)⇌2NH3​(g)

The double arrow shows that the reaction is reversible. The forward reaction forms ammonia, while the backward reaction breaks ammonia down into nitrogen and hydrogen.

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The Haber process produces

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What is the equation for the Haber process?

6.3 Dynamic equilibria Revision Guide

  1. GCSE
  2. /Chemistry
  3. /6.3 Dynamic equilibria

Revision notes for Edexcel GCSE Chemistry 6.3 Dynamic equilibria: explanations and worked examples on 6.3.1 The Haber process as a reversible reaction, 6.3.2 Conditions and rate in industrial equilibria, and 6.3.3 Fertilisers and the preparation of ammonium sulfate.

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