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3.2 Energetics

3.2.1 Exothermic and endothermic reactions and reaction profiles

Exothermic reactions transfer energy to the surroundings

Definition

Exothermic reaction

A reaction that transfers energy to the surroundings, so the temperature of the surroundings rises.

Definition

Surroundings

Everything outside the reacting chemicals, such as the water they are dissolved in, the container and the air.

  1. In an exothermic reaction, energy stored in the reacting chemicals is transferred to the surroundings.
    1. A thermometer in the reaction mixture shows a temperature rise.
  2. Combustion of fuels, such as methane burning in a gas cooker, is exothermic.
  3. Neutralisation of an acid by an alkali is exothermic, and so are most reactions of metals with acids.
  4. Oxidation reactions, such as iron powder reacting with oxygen in a disposable hand warmer, are exothermic too.
Example

Self-heating cans of coffee warm the drink using the exothermic reaction between calcium oxide and water.

Endothermic reactions take in energy from the surroundings

Definition

Endothermic reaction

A reaction that takes in energy from the surroundings, so the temperature of the surroundings falls.

  1. In an endothermic reaction, energy is taken in from the surroundings and stored in the products.
    1. A thermometer in the reaction mixture shows a temperature fall.
  2. Thermal decomposition, such as heating calcium carbonate to make calcium oxide, is endothermic and needs continuous heating.
  3. The reaction of citric acid with sodium hydrogencarbonate solution is endothermic, so the mixture feels cold.
  4. Photosynthesis is endothermic, taking in energy from sunlight to make glucose.
  5. Instant cold packs for sports injuries contain ammonium nitrate, which takes in energy from the surroundings as it dissolves in water.
Common Mistake

Do not describe an endothermic reaction as giving out cold, because the temperature falls when energy is taken in from the surroundings.

Temperature change shows the type of reaction

  1. Measure the starting temperature of the solution before adding the other reactant.
  2. Record the highest or lowest temperature reached after mixing.
  3. Calculate the temperature change by subtracting the starting temperature from the final temperature.
    1. A positive temperature change means the reaction is exothermic.
    2. A negative temperature change means the reaction is endothermic.
  4. A reading of 21.0 ∘C21.0\ ^{\circ}\text{C}21.0 ∘C rising to 28.5 ∘C28.5\ ^{\circ}\text{C}28.5 ∘C gives a change of +7.5 ∘C+7.5\ ^{\circ}\text{C}+7.5 ∘C, so that reaction is exothermic.
Practical
  • Aim: measure the temperature change of a reaction to decide whether it is exothermic or endothermic.
  • Apparatus: a polystyrene cup with a lid, a 250 cm3250\,\text{cm}^3250cm3 beaker to stand the cup in, a thermometer reading to 0.5 ∘C0.5\ ^{\circ}\text{C}0.5 ∘C or a temperature probe, a 25 cm325\,\text{cm}^325cm3 measuring cylinder, a stop clock, a spatula, a digital balance, dilute hydrochloric acid, dilute sodium hydroxide solution, citric acid solution and sodium hydrogencarbonate.

Method

  • Stand the polystyrene cup in the beaker, which stops it tipping over.
  • Measure 25 cm325\,\text{cm}^325cm3 of the first solution into the cup.
  • Put the lid on, push the thermometer through the hole in it and record the starting temperature.
  • Add the second reactant, which is 25 cm325\,\text{cm}^325cm3 of solution or a weighed mass of solid, then replace the lid, stir and start the stop clock.
  • Read the thermometer every 303030 seconds until the temperature stops changing.
  • Record the highest or lowest temperature and work out the temperature change.
  • Repeat with each other pair of reactants, using the same volumes and concentrations each time.

Accuracy and safety

  • The polystyrene and the lid reduce energy transfer to or from the room, so the temperature change measured is closer to the true value.
  • Stir the mixture before each reading, so that the temperature is the same all through it.
  • Hydrochloric acid with sodium hydroxide solution gives a temperature rise, while citric acid with sodium hydrogencarbonate gives a fall.
  • Wear eye protection, because acids and alkalis are irritant.

Reaction profiles show energy levels and activation energy

Definition

Reaction profile

A diagram showing how the energy of the reacting substances changes as reactants turn into products.

Definition

Activation energy

The minimum energy that colliding particles must have for a reaction to happen.

  1. The vertical axis shows energy and the horizontal axis shows the progress of reaction.
  2. A short horizontal line on the left shows the energy of the reactants, and one on the right shows the energy of the products.
  3. A curve joins the two lines, rising to a peak before falling to the products.
    1. The rise to the peak shows that energy must be supplied before the reactants can change into products.
  4. The activation energy is shown by an upward arrow from the reactants line to the top of the peak.
  5. The overall energy change is shown by an arrow from the reactants line to the products line.
Key Idea

A fuel needs a spark or a flame to start burning because of its activation energy, even though the reaction then gives out energy.

Comparing exothermic and endothermic reaction profiles

  1. In an exothermic profile, the products are drawn lower than the reactants.
    1. The difference is the energy given out to the surroundings, so the energy change arrow points down.
  2. In an endothermic profile, the products are drawn higher than the reactants.
    1. The difference is the energy taken in from the surroundings, so the energy change arrow points up.
  3. Both types of reaction have an activation energy, so both profiles rise to a peak.
  4. In an endothermic profile the peak is above the products, so the activation energy is always larger than the energy change.

Reaction profiles comparing an exothermic reaction with products at lower potential energy than reactants (downward ΔH arrow) and an endothermic reaction with products at higher potential energy than reactants (upward ΔH arrow).

Exam technique
  • When a question asks you to draw a reaction profile, label both axes and the reactants and products lines, and use single-headed arrows for the activation energy and the energy change.
  • Start the activation energy arrow at the reactants line, not at the axis or at the products line.
Self review
  • What happens to the temperature of the surroundings during an endothermic reaction?
  • Give two examples of exothermic reactions.
  • The temperature of a solution falls from 20.0 ∘C20.0\ ^{\circ}\text{C}20.0 ∘C to 14.5 ∘C14.5\ ^{\circ}\text{C}14.5 ∘C; is the reaction exothermic or endothermic?
  • What is activation energy?
  • On an exothermic reaction profile, where are the products drawn compared with the reactants?

3.2.2 Calculating energy change from bond energies

Bond breaking is endothermic and bond making is exothermic

Definition

Bond energy

The energy needed to break one mole of a particular covalent bond, which equals the energy released when that bond forms.

Definition

Covalent bond

A shared pair of electrons between two atoms.

  1. Breaking a covalent bond needs energy to overcome the attraction between the shared electrons and the two nuclei, so bond breaking is endothermic.
  2. Making a bond releases energy, so bond making is exothermic.
    1. Forming a bond releases the same amount of energy that is needed to break that bond.
  3. In a reaction, bonds in the reactants break and new bonds form in the products.
  4. Different bonds have different strengths, such as 436 kJ/mol436\,\text{kJ/mol}436kJ/mol for H-H\text{H-H}H-H and 243 kJ/mol243\,\text{kJ/mol}243kJ/mol for Cl-Cl\text{Cl-Cl}Cl-Cl.
Common Mistake

Do not say that breaking bonds releases energy, because energy must always be put in to pull bonded atoms apart.

Energy change equals bonds broken minus bonds made

  1. Calculate the energy change using: energy change=energy to break bonds−energy released making bonds\text{energy change} = \text{energy to break bonds} - \text{energy released making bonds}energy change=energy to break bonds−energy released making bonds
  2. A negative answer means more energy is released making bonds than is taken in breaking them, so the reaction is exothermic.
  3. A positive answer means more energy is taken in breaking bonds than is released making them, so the reaction is endothermic.
  4. The answer is in kilojoules per mole, kJ/mol\text{kJ/mol}kJ/mol, for the equation as written.
  5. Bond energies are average values taken from many different molecules, so the result is an estimate.
Key Idea

Whether a reaction is exothermic depends on how the energy released by the new bonds compares with the energy needed to break the old ones, not on how many bonds break or form.

Count every bond broken and made, using balancing numbers

Definition

Displayed formula

A two-dimensional formula that shows every atom in a molecule and each bond between the atoms.

  1. Draw the displayed formula of each substance to see every bond.
  2. Multiply the bonds in each molecule by its balancing number in the equation.
    1. In 2H2O2\text{H}_2\text{O}2H2​O there are four O-H\text{O-H}O-H bonds, because each water molecule has two.
  3. A double bond such as O=O\text{O=O}O=O or C=O\text{C=O}C=O has its own bond energy and counts as one bond.
    1. Each CO2\text{CO}_2CO2​ molecule, O=C=O\text{O=C=O}O=C=O, contains two C=O\text{C=O}C=O bonds.
  4. List the bonds broken and the bonds made in two columns, so that no bond is missed.
Example
  • Hydrogen reacts with chlorine, H2+Cl2→2HCl\text{H}_2 + \text{Cl}_2 \rightarrow 2\text{HCl}H2​+Cl2​→2HCl; calculate the energy change using H-H=436\text{H-H} = 436H-H=436, Cl-Cl=243\text{Cl-Cl} = 243Cl-Cl=243 and H-Cl=432 kJ/mol\text{H-Cl} = 432\,\text{kJ/mol}H-Cl=432kJ/mol.
  • Energy to break bonds =436+243=679 kJ/mol= 436 + 243 = 679\,\text{kJ/mol}=436+243=679kJ/mol.
  • Energy released making bonds =2×432=864 kJ/mol= 2 \times 432 = 864\,\text{kJ/mol}=2×432=864kJ/mol.
  • Energy change =679−864=−185 kJ/mol= 679 - 864 = -185\,\text{kJ/mol}=679−864=−185kJ/mol, so the reaction is exothermic.

Burning methane is exothermic as bond making releases more

  1. Methane burns in oxygen: CH4+2O2→CO2+2H2O\text{CH}_4 + 2\text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O}CH4​+2O2​→CO2​+2H2​O
  2. The bonds broken are four C-H\text{C-H}C-H bonds in methane and two O=O\text{O=O}O=O bonds in the oxygen molecules.
  3. The bonds made are two C=O\text{C=O}C=O bonds in carbon dioxide and four O-H\text{O-H}O-H bonds in the water molecules.
  4. The bond energies are C-H=413\text{C-H} = 413C-H=413, O=O=498\text{O=O} = 498O=O=498, C=O=805\text{C=O} = 805C=O=805 and O-H=463 kJ/mol\text{O-H} = 463\,\text{kJ/mol}O-H=463kJ/mol.
Example
  • Calculate the energy change when methane burns.
  • Energy to break bonds =(4×413)+(2×498)=1652+996=2648 kJ/mol= (4 \times 413) + (2 \times 498) = 1652 + 996 = 2648\,\text{kJ/mol}=(4×413)+(2×498)=1652+996=2648kJ/mol.
  • Energy released making bonds =(2×805)+(4×463)=1610+1852=3462 kJ/mol= (2 \times 805) + (4 \times 463) = 1610 + 1852 = 3462\,\text{kJ/mol}=(2×805)+(4×463)=1610+1852=3462kJ/mol.
  • Energy change =2648−3462=−814 kJ/mol= 2648 - 3462 = -814\,\text{kJ/mol}=2648−3462=−814kJ/mol.
  • The answer is negative, so burning methane is exothermic.

A positive energy change shows a reaction is endothermic

  1. When water is split into hydrogen and oxygen, 2H2O→2H2+O22\text{H}_2\text{O} \rightarrow 2\text{H}_2 + \text{O}_22H2​O→2H2​+O2​, four O-H\text{O-H}O-H bonds are broken.
    1. Using O-H=463 kJ/mol\text{O-H} = 463\,\text{kJ/mol}O-H=463kJ/mol, the energy to break them is 4×463=1852 kJ/mol4 \times 463 = 1852\,\text{kJ/mol}4×463=1852kJ/mol.
  2. Two H-H\text{H-H}H-H bonds and one O=O\text{O=O}O=O bond are made.
    1. Using H-H=436\text{H-H} = 436H-H=436 and O=O=498 kJ/mol\text{O=O} = 498\,\text{kJ/mol}O=O=498kJ/mol, the energy released is (2×436)+498=1370 kJ/mol(2 \times 436) + 498 = 1370\,\text{kJ/mol}(2×436)+498=1370kJ/mol.
  3. The energy change is 1852−1370=+482 kJ/mol1852 - 1370 = +482\,\text{kJ/mol}1852−1370=+482kJ/mol, so the reaction is endothermic.
  4. This matches the reaction profile of an endothermic reaction, in which the products sit higher in energy than the reactants.
Exam technique
  • When a question asks for an energy change from bond energies, show the total for bonds broken and the total for bonds made before you subtract.
  • Always subtract in the order broken minus made, and give the sign and the unit kJ/mol\text{kJ/mol}kJ/mol with your answer.
Self review
  • Why is bond breaking endothermic?
  • What is the equation for the energy change of a reaction from bond energies?
  • How many N-H\text{N-H}N-H bonds are made in N2+3H2→2NH3\text{N}_2 + 3\text{H}_2 \rightarrow 2\text{NH}_3N2​+3H2​→2NH3​?
  • What does a negative energy change tell you about a reaction?
  • Why is an energy change calculated from bond energies only an estimate?

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The surroundings are everything outside the reacting chemicals, including the solvent, container and air. An exothermic reaction transfers energy to the surroundings, causing their temperature to rise.

An endothermic reaction takes in energy from the surroundings, causing their temperature to fall. Energy is transferred into the chemicals; the reaction does not “give out cold”.

Burning fuels, acid–alkali neutralisation and iron oxidation in hand warmers are exothermic. Thermal decomposition and the reaction of citric acid with sodium hydrogencarbonate are endothermic.

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Four students each mix two chemicals and write down what they observe.

Which observation shows an endothermic reaction?

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Why does the temperature of the surroundings rise during an exothermic reaction?

3.2 Energetics Revision Guide

  1. GCSE
  2. /Chemistry
  3. /3.2 Energetics

Revision notes for OCR GCSE Chemistry 3.2 Energetics: explanations and worked examples on 3.2.1 Exothermic and endothermic reactions and reaction profiles and 3.2.2 Calculating energy change from bond energies.

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