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Enthalpy Changes and Standard Conditions

A concise revision guide to enthalpy change, exothermic and endothermic reactions, reaction pathway diagrams, activation energy and standard conditions for Cambridge International A Level Chemistry.

AS Level
Topic 5: Chemical Energetics
9701 Papers 1 and 2
Dr. Mohammed Al-Fatah

Written by:
Dr. Mohammed Al-Fatah

Chemistry specialist revision notes for A Level Chemistry.

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Before you start

GCSE Recap: Energy Diagrams and Which Way the Energy Goes

Before you start, check the GCSE picture that this page turns into ΔH.

1

What an Enthalpy Change Is

An enthalpy change, ΔH, is the heat energy transferred in a reaction measured at constant pressure. It is measured in kJ mol⁻¹, so it always refers to the amounts shown in a stated equation or to one mole of a named substance. Scale the equation and the value scales with it: CH₄(g) + 2O₂(g) → CO₂(g) + 2H₂O(l) has ΔH = −890 kJ mol⁻¹, while 2CH₄(g) + 4O₂(g) → 2CO₂(g) + 4H₂O(l) has ΔH = −1780 kJ mol⁻¹ for the same reaction written for twice as much.

Chemists split the world into two parts. The system is the reacting chemicals; the surroundings are everything else, including the solvent, the container and the air. An enthalpy change describes energy moving between the two, which is why a thermometer placed in the surroundings can be used to measure it.

Definition: Enthalpy change, ΔH, is the heat energy change measured at constant pressure.

2

Exothermic and Endothermic Reactions

In an exothermic reaction energy is transferred from the system to the surroundings, so the surroundings get warmer and ΔH is negative. The products have less enthalpy than the reactants. Combustion of fuels, neutralisation and respiration are all exothermic.

In an endothermic reaction energy is transferred from the surroundings to the system, so the surroundings cool and ΔH is positive. The products have more enthalpy than the reactants. Thermal decomposition of calcium carbonate, photosynthesis and dissolving ammonium nitrate in water are endothermic.

FeatureExothermicEndothermic
Direction of energy transfersystem to surroundingssurroundings to system
Sign of ΔHnegativepositive
Temperature of surroundingsrisesfalls
Enthalpy of productslower than reactantshigher than reactants
ExampleCH₄ + 2O₂ → CO₂ + 2H₂OCaCO₃ → CaO + CO₂

Common mistake: A temperature rise means the reaction is exothermic, not endothermic. The heat has left the chemicals and entered the solution, which is what the thermometer measures.

Check your understanding

Quick Check: Two Everyday Changes

Drag the words into place to complete the two accounts.

3

Drawing Reaction Pathway Diagrams

A reaction pathway diagram shows the enthalpy of the reactants and the products as two horizontal levels, with an arrow between them for ΔH. The vertical axis is labelled enthalpy; the horizontal axis is the progress of the reaction.

  1. Draw the reactants level and the products level, and label each with its formula.
  2. For an exothermic reaction place the products below the reactants; for an endothermic reaction place them above.
  3. Draw a vertical arrow from the reactants level to the products level and label it with ΔH and its sign, for example ΔH = −890 kJ mol⁻¹.
three panels: an exothermic reaction (products below, arrow down, ΔH negative), an endothermic reaction (products above, arrow up, ΔH positive) and a reaction profile curve with Ea and ΔH marked

The direction of the ΔH arrow shows the sign: down for exothermic, up for endothermic.

An Exothermic Reaction: Energy Profile

Follow hydrogen burning in oxygen, 2H2 + O2 → 2H2O, bond by bond, with a live energy profile showing why more energy comes out than goes in.

Drag to rotate
Step
Catalyst
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Show
Motion

Hydrogen Oxygen Bond Bond breaking, energy in Bond forming, energy out Heat released Energy profile Catalysed route Ea, ΔH, progress dot

© Dr. Mohammed Al-Fatah – onlinelearningsystem.net

An Endothermic Reaction: Energy Profile

Heat calcium carbonate until CO2 leaves, CaCO3 → CaO + CO2, with a live energy profile showing why the products end up higher in energy than the reactant.

Drag to rotate
Step
Compare
View
Show
Motion

Calcium ion, Ca2+ Carbon Oxygen Bond Bond breaking, energy in Energy released Flame Energy profile Exothermic, for comparison Ea, ΔH, progress dot

© Dr. Mohammed Al-Fatah – onlinelearningsystem.net

Exam focus: Label both levels with formulae and state symbols, and make the arrow point from reactants to products. An arrow drawn the wrong way reverses the sign and loses the mark.

Check your understanding

Quick Check: Levels and Arrows

Answer each one quickly, using the value or the observation given.

4

Activation Energy and the Reaction Profile

The activation energy, Ea, is the minimum energy that colliding particles need for a reaction to occur. It is the energy needed to start breaking bonds, so even very exothermic reactions such as the combustion of methane need a spark or flame to begin.

A reaction pathway diagram shows both quantities on one curve: the enthalpy change between the reactant and product levels, and the activation energy as the height of the peak above the reactants. Cambridge asks you to construct and interpret a reaction pathway diagram in terms of both the enthalpy change and the activation energy.

The same peak gives the activation energy for the reverse reaction, measured from the products level up to the top of the curve. For an exothermic reaction the reverse barrier is the larger of the two; for an endothermic reaction it is the smaller.

Key idea: ΔH is fixed by the reactants and products; activation energy is the barrier between them. A catalyst lowers the barrier without changing ΔH.

Check your understanding

Quick Check: Read the Two Heights

Work out both values from the described profile, then choose your answer.

5

Standard Conditions

Enthalpy changes depend on temperature, pressure and concentration, so values are compared under standard conditions: a pressure of 101 kPa, a stated temperature (usually 298 K), solutions at a concentration of 1 mol dm⁻³, and every substance in its standard state, the physical state it adopts under those conditions. The symbol ⦵ shows that a value was measured, or corrected, to standard conditions.

ConditionStandard value
Pressure101 kPa
Temperature298 K (25 °C) unless another temperature is stated
Solution concentration1 mol dm⁻³
Physical statethe normal state at 298 K and 101 kPa, for example H₂O(l), CO₂(g), C(s, graphite)

Standard states matter because changing a state involves an enthalpy change of its own. Forming water as a gas gives a less exothermic value than forming liquid water, because the energy that would be released on condensing is not released. That is about 44 kJ mol⁻¹ for every mole of water, so the two values can differ by a great deal.

Remember: Cambridge uses 101 kPa as the standard pressure in this syllabus; other specifications use 100 kPa.

Check your understanding

Quick Check: Standard States

Click every formula that shows the substance in its standard state.

Check your understanding

Quick Check: Pick the Accurate Statement

In each round, choose the one statement that is accurate.

6

Common Exam Points

Define enthalpy change

The heat energy change measured at constant pressure.

Explain why a reaction is exothermic from a temperature change

The temperature of the surroundings rose, so energy was transferred from the chemicals to the surroundings and ΔH is negative.

Draw a reaction pathway diagram

Label the enthalpy axis, both levels with formulae, and an arrow from reactants to products labelled with ΔH and its sign.

Do not say

“Exothermic reactions absorb heat”; “ΔH is positive because heat is given out”; “standard temperature is 273 K”.

FAQs

Use these quick answers to check the enthalpy ideas that appear most often in Cambridge International A Level Chemistry questions.

What is an enthalpy change?

It is the heat energy change measured at constant pressure, quoted in kJ mol⁻¹. It describes energy moving between the reacting chemicals and their surroundings.

How do I know if a reaction is exothermic?

The temperature of the surroundings rises, because energy has been transferred from the chemicals to the surroundings. ΔH is negative and the products have less enthalpy than the reactants.

What does an reaction pathway diagram show?

The enthalpy of the reactants and products as two levels, with an arrow from reactants to products labelled with ΔH. The curve over the top also shows the activation energy.

What are standard conditions?

A pressure of 101 kPa, a stated temperature (usually 298 K), solutions at 1 mol dm⁻³, and every substance in its standard state. The symbol ⦵ marks a standard value.

Does a catalyst change ΔH?

No. A catalyst lowers the activation energy, so the reaction is faster, but the enthalpies of the reactants and products are unchanged, so ΔH stays the same.

Copyright and author footprint: This OLS revision page was written for Online Learning System by Dr. Mohammed Al-Fatah. It is designed for A Level Chemistry revision and should not be copied or redistributed without permission.