Enthalpy Changes (OCR AS Chemistry A): Revision Note

Exam code: H032

Richard Boole

Written by: Richard Boole

Reviewed by: Caroline Carroll

Updated on

Endothermic & Exothermic Enthalpy Changes

  • The total chemical energy inside a substance is called the enthalpy (or heat content)

  • When chemical reactions take place, changes in chemical energy take place and therefore the enthalpy changes

  • An enthalpy change is represented by the symbol ΔH

    • Δ= change; H = enthalpy

  • An enthalpy change can be positive or negative

Exothermic reactions

  • A reaction is exothermic when the products have less energy than the reactants

  • Heat energy is given off by the reaction to the surroundings

    • The temperature of the environment increases - this can be measured with a thermometer

    • The energy of the system decreases

  • There is an enthalpy decrease during the reaction so ΔH is negative

  • Exothermic reactions tend to be thermodynamically feasible (the enthalpy of the reactants is higher than that of the products), but feasibility also depends on the entropy change and the temperature, through ∆G = ∆H – T∆S

  • However, if the rate is too slow, the reaction may not occur

    • In this case the reaction is kinetically controlled

Enthalpy profile diagram for an exothermic reaction: the products are lower in energy than the reactants, delta H is negative, and the activation energy Ea is the rise from the reactants to the peak.

The enthalpy changes during an exothermic reaction

Endothermic reactions

  • A reaction is endothermic when the products have more energy than the reactants

  • Heat energy is absorbed by the reaction from the surroundings

    • The temperature of the environment decreases - this can be measured with a thermometer

    • The energy of the system increases

  • There is an enthalpy increase during the reaction so ΔH is positive

Enthalpy profile diagram for an endothermic reaction: the products are higher in energy than the reactants, delta H is positive, and the activation energy Ea is the rise from the reactants to the peak.

The enthalpy changes during an endothermic reaction

Enthalpy Profile Diagrams

  • An energy level diagram is a diagram that shows:

    • The energy level of the reactants

    • The transition state - the arrangement of atoms at the maximum of the energy profile, higher in energy than the reactants and products; it exists only for an instant and is not an intermediate (an intermediate sits in a dip in the profile)

    • The energy level of the products

    • The activation energy (Ea)

      • The minimum amount of energy needed for reactant molecules to have a successful collision and start the reaction

    • The enthalpy change for the reaction (ΔH) 

      • This can be describes as the overall energy taken in from / given out to the surroundings OR the energy difference from reactants to products

Energy level diagram for H2 + Cl2 -> 2HCl: the reactants are higher in energy than the products, delta H is negative, and Ea is the rise to the peak where the H2Cl2 transition state is drawn.

The energy level diagram for the reaction of hydrogen with chlorine to form hydrogen chloride gas

Examiner Tips and Tricks

You do not need to know or label the specific term transition state on diagrams 

Worked Example

Drawing energy level diagrams of the combustion of methane

The activation energy, Ea, and enthalpy change, ΔH, for the complete combustion of methane are +2653 kJ mol-1 and -890 kJ mol-1 respectively.

Draw the energy level diagram for this reaction.

Answer

Step 1: The chemical equation for the complete combustion of methane is:

CH4 (g) + 2O2 (g) → CO2 (g) + 2H2O (l)

Step 2: Combustion reactions are always exothermic (ΔH is negative) so the reactants should be drawn higher in energy than the products

Step 2 of drawing the methane combustion diagram: energy (kJ mol-1) against extent of reaction, with CH4(g) + 2O2(g) as a higher level on the left and CO2(g) + 2H2O(l) as a lower level on the right.

Step 3: Draw the curve in the energy level diagram

Step 3: a curve drawn from CH4(g) + 2O2(g) up over a peak and down to CO2(g) + 2H2O(l).

Step 4: Draw arrows to show the Ea and ΔH  including their values

Step 4: the finished energy level diagram for methane combustion, with Ea +2653 kJ mol-1 from the reactants up to the peak and delta H -890 kJ mol-1 from the reactants down to the products.

Examiner Tips and Tricks

Remember to label the axes of the energy level diagrams!

Worked Example

Determining the activation energy

ΔH for a reaction is +70 kJ mol-1 and Ea for the reverse reaction is +20 kJ mol-1.

Use the reaction pathway diagram below to determine the Ea for the forward reaction.

Reaction pathway diagram for a reversible reaction: the products are 70 kJ mol-1 above the reactants (delta H), and the peak is 20 kJ mol-1 above the products (Ea of the reverse reaction).

The reaction pathway diagram for a reversible reaction

Answer

  • The Ea  is the energy difference from the energy level of the reactants to the top of the ‘hump’

    • Ea (forward reaction) = (+70 kJ mol-1) + (+ 20 kJ mol-1 ) = +90 kJ mol-1

Standard Enthalpy Definitions

  • To be able to compare the changes in enthalpy between reactions, all thermodynamic measurements are carried out under standard conditions

  • These standard conditions are:

    • A pressure of 100 kPa

      • OCR uses 100 kPa as the standard pressure (use this value in calculations)

    • A temperature of 298 K (25 oC)

    • Each substance involved in the reaction is in its standard physical state (solid, liquid or gas)

  • To show that a reaction has been carried out under standard conditions, the symbol Ꝋ is used

    • ΔHꝊ = the standard enthalpy change

  • There are a number of key definitions relating to enthalpy changes that you need to know

Definitions

  • All standard enthalpies are performed under standard conditions

  • Standard enthalpy change of reaction, ΔHθr 

    • The enthalpy change when the reactants in the stoichiometric equation react to form the products, with all species in their standard states

    • Can be both exothermic and endothermic

  • Standard enthalpy change of formation, ΔHθf 

    • The enthalpy change when one mole of a compound is formed from its elements in their standard states

    • Can be both exothermic and endothermic

  • Standard enthalpy change of combustion, ΔHθc 

    • The enthalpy change when one mole of a substance, in its standard state, is burnt in excess oxygen

    • It is an exothermic change

  • Standard enthalpy change of neutralisation, ΔHθneut 

    • The enthalpy change when one mole of water is formed by reacting an acid and an alkali

    • It is an exothermic change

Worked Example

Calculating the enthalpy change of reaction

One mole of water is formed from hydrogen and oxygen, releasing 286 kJ of energy

H2 (g) + ½O2 (g) → H2O (l)      ΔHrꝊ = -286 kJ mol-1

Calculate ΔHrꝊ for the reaction below:

2H2 (g) + O2 (g) → 2H2O (l)

Answer

  • Since two moles of water molecules are formed in the question above, the energy released is simply:

    • ΔHrꝊ = 2 mol x (-286 kJ mol-1) 

    • ΔHrꝊ = -572 kJ mol-1 

Worked Example

Calculating the enthalpy change

Calculate ΔHrꝋ for the reaction below, given that ΔHfꝋ [Fe2O3(s)] = -824.2 kJ mol-1

4Fe (s) + 3 O2 (g) → 2 Fe2O3 (s)

Answer

  • Since two moles of Fe2O3 (s) are formed the total change in enthalpy for the reaction above is:

    • ΔHrꝊ = 2 x ( -824.2 kJ mol-1)

    • ΔHrꝊ = - 1648 kJ mol-1

Worked Example

Calculating enthalpy changes

Identify each of the following as ΔHrꝊ, ΔHfꝊ, ΔHcꝊ or ΔHneutꝊ

  1. MgCO3 (s) → MgO (s) + CO2 (g)

  2. C (graphite) + O2 (g) → CO2 (g)

  3. HCl (aq) + NaOH (aq) → NaCl (aq) + H2O (l)

Answers

Answer 1: ΔHrꝊ

Answer 2: ΔHfꝊ as one mole of CO2 is formed from its elements in standard state and ΔHcꝊ as one mole of carbon is burnt in oxygen

Answer 3: ΔHneutꝊ as one mole of water is formed from the reaction between an acid and an alkali

Examiner Tips and Tricks

The ΔHfꝊ of an element in its standard state is zero.

For example, ΔHfꝊ of O2(g) is 0 kJ mol-1

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Richard Boole

Author: Richard Boole

Expertise: Curriculum Expert

Richard has taught Chemistry for over 15 years as well as working as a science tutor, examiner, content creator and author. He wasn’t the greatest at exams and only discovered how to revise in his final year at university. That knowledge made him want to help students learn how to revise, challenge them to think about what they actually know and hopefully succeed; so here he is, happily, at SME.

Caroline Carroll

Reviewer: Caroline Carroll

Expertise: Head of Content Delivery

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about delivering high-quality resources to help students achieve their full potential.