Chemistry
Advanced

Hess Law

Total enthalpy change is the sum of step changes.

Formula

ΔH=∑ΔHsteps\Delta H = \sum \Delta H_{steps}

Variables

\Delta HEnthalpy change

Example

Path-independent energy

How it works

Hess’s law says the enthalpy change for an overall reaction depends only on the initial and final states, not on the route taken between them. That works because enthalpy is a state function, so if you split a reaction into several intermediate steps, the energy changes for those steps add algebraically to give the same total. This lets you calculate enthalpy changes for reactions that are hard to measure directly by combining easier reactions with known H values.

When to use it

Use this when you need the enthalpy change for a reaction that is not measured directly, especially in thermochemistry problems involving formation equations, combustion equations, or multiple reaction cycles. It is also useful for building energy cycles from tabulated enthalpies of formation or combustion.

Worked example, step by step

Find H for: C(graphite) + 1/2 O2(g) -> CO(g) Given: C(graphite) + O2(g) -> CO2(g) H = -393.5 kJ mol^-1 CO(g) + 1/2 O2(g) -> CO2(g) H = -283.0 kJ mol^-1 Reverse the second equation to match CO as a product: CO2(g) -> CO(g) + 1/2 O2(g) H = +283.0 kJ mol^-1 Add the equations: C(graphite) + O2(g) -> CO2(g) CO2(g) -> CO(g) + 1/2 O2(g) Overall: C(graphite) + 1/2 O2(g) -> CO(g) Add enthalpy changes: H = -393.5 + 283.0 = -110.5 kJ mol^-1 Final answer: H = -110.5 kJ mol^-1

Common mistakes to avoid

  • Forgetting to reverse the sign of H when an equation is reversed
  • Adding equations correctly but not cancelling species that appear on both sides
  • Using coefficients inconsistently, especially when scaling reactions without scaling H by the same factor

Did You Know?

Hess's law lets chemists add reaction energies like accounting entries, since total enthalpy ignores the route taken.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026