AeroLab Reading room

CHEM / AS level

Enthalpy and Hess cycles

Enthalpy changes compare states under specified conditions. Formation, combustion, atomisation and bond enthalpies use different definitions; their signs cannot be assigned from names alone.

Learning objectives

The big idea

Enthalpy changes compare states under specified conditions. Formation, combustion, atomisation and bond enthalpies use different definitions; their signs cannot be assigned from names alone.

Hess’s law uses enthalpy as a state function to combine reactions. Reverse an equation and reverse its enthalpy sign; multiply an equation and scale its enthalpy change.

Equations and relationships

ΔHreaction ≈ ΣE(bonds broken) − ΣE(bonds formed)

Mean bond enthalpies give an estimate, usually for gaseous species.

Worked example

Breaking bonds costs 500 kJ/mol; formation releases 650 kJ/mol. Estimate ΔH.

Follow the solution

500−650=−150 kJ/mol, so the model reaction is exothermic.

Investigate and explain

Predict the worked result before calculating. Change one input, record the new result, and explain which assumptions still hold.

Use the evidence activity below; no exact PhET model is claimed.

Open the interactive investigation

Check your understanding

1. What happens to ΔH when a reaction is reversed?

  1. Its sign reverses
  2. It becomes zero
  3. It doubles always
Check the answer and reasoning

Its sign reverses

The state change is reversed, reversing the energy transfer.

2. Breaking bonds costs 500 kJ/mol; formation releases 650 kJ/mol. Estimate ΔH.

  1. +150 kJ/mol
  2. −150 kJ/mol
  3. −1150 kJ/mol
Check the answer and reasoning

−150 kJ/mol

500−650=−150 kJ/mol, so the model reaction is exothermic.

3. Are mean bond enthalpies exact for every compound?

  1. Yes
  2. Only for liquids
  3. No
Check the answer and reasoning

No

They average gaseous bond environments, so they estimate rather than exactly reproduce many reaction enthalpies.