Calculate Enthalpy Changes Using ΔHc⦵ (HL) (DP IB Chemistry): Revision Note

Alexandra Brennan

Written by: Alexandra Brennan

Reviewed by: Philippa Platt

Updated on

Calculate enthalpy changes Using ΔHcꝊ

  • The standard enthalpy change of combustion is

The enthalpy change that occurs when one mole of the substance burns completely under standard conditions

  • We can use enthalpy of combustion to find an unknown enthalpy change using a Hess cycle

  • In this type of cycle, the combustion products are always placed at the bottom of the diagram and the arrows should be pointing downwards

Energy cycle including combustion products 

Flowchart showing Hess's Law with paths for combustion of elements, forming a compound, and their enthalpy changes, ΔHf, ΔH(1), and ΔH(2).
The combustion products of both reactants and products should be placed at the bottom of the cycle 
  • The general expression for ΔHr  is therefore:

ΔHr  = ∑ΔHc(reactants) - ∑ΔHc(products)

Worked Example

Using the data provided, calculate the standard enthalpy change of formation, ΔHf, of propanone.

3C (s)  +     3H2 (g)   +      ½ O2 (g)               CH3COCH3 (l)

Substance

C (s)

H2 (g)

CH3COCH3 (l)

HCө / kJ mol–1

-394

-286

-1821

Answer:

  • Step 1: Write the balanced equation

wk eg step 1
  • Step 2:Write the combustion products below the equation

wk eg step 2
  • Step 3: Draw downward pointing arrows from each substance to its combustion product

wk eg step 3
  • Step 4: Write the appropriate values on the arrows and multiply by the number of moles

worked example step 4
  • Step 5: In a cycle, go from the reactants to the products, changing the sign of the value if the arrow points in the opposite direction

worked example step 5

ΔHfө = -1182 - 858 + 1821 = -219 kJ mol-1

  • The sign on -1821 needs reversing as the cycle goes in the opposite direction to the arrow pointing to the combustion products

Examiner Tips and Tricks

Don't forget to make sure the number of atoms of each element is balanced when drawing your cycle

Using Hess's Law to solve ΔHc⦵ & ΔHf⦵ problems

Using Hess's Law to solve ΔHf problems

  • Standard enthalpy changes of formation, ΔHf can also be used to calculate standard enthalpy changes of reactions, ΔH

  • The overall equation will be:

ΔHf (reactants) + ΔHr = ΔHθ(products)

  • Which rearranges to:

ΔHr = ΔHf (products) - ΔHf (reactants)

  • Be careful to count up all the atoms you need to use, and make sure they are written as they occur in the elements in their standard state

Diagram to show the Hess's Law cycle for calculating ΔH from ΔHf  data

Flowchart showing Hess's Law: reactants to products via elements, with enthalpy changes. Equations show enthalpy of formation differences.
Elements should be in their standard state and balanced when written in a Hess's Law cycle

Using Hess's Law to solve ΔHc problems

  • Standard enthalpy changes of combustion, ΔHc can also be used to calculate standard enthalpy changes of reactions, ΔH

  • The overall equation will be:

ΔHc (products) + ΔHr = ΔHc (reactants)

  • Which rearranges to:

ΔHr = ΔHc (reactants) - ΔHc (products)

Diagram to show the Hess's Law cycle for calculating ΔH from ΔHc  data

Diagram showing Hess's Law for enthalpy: arrows from reactants to products, via combustion products, with corresponding enthalpy change equations.
Hess's Law says that the enthalpy changes on the two routes are the same

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Alexandra Brennan

Author: Alexandra Brennan

Expertise: Chemistry Content Creator

Alex studied Biochemistry at Newcastle University before embarking upon a career in teaching. With nearly 10 years of teaching experience, Alex has had several roles including Chemistry/Science Teacher, Head of Science and Examiner for AQA and Edexcel. Alex’s passion for creating engaging content that enables students to succeed in exams drove her to pursue a career outside of the classroom at SME.

Philippa Platt

Reviewer: Philippa Platt

Expertise: Chemistry Content Creator

Philippa has worked as a GCSE and A level chemistry teacher and tutor for over thirteen years. She studied chemistry and sport science at Loughborough University graduating in 2007 having also completed her PGCE in science. Throughout her time as a teacher she was incharge of a boarding house for five years and coached many teams in a variety of sports. When not producing resources with the chemistry team, Philippa enjoys being active outside with her young family and is a very keen gardener