Thermochemistry · Hess’s law

Reaction Enthalpy & Hess’s Law Calculator

Calculate reaction enthalpy from standard formation enthalpies or combine reversed and scaled thermochemical equations with Hess’s law.

Formula shown Runs locally Reviewed Aug 11, 2026
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Equation guide

Thermochemical equations at a common reference state and temperature

Formation enthalpies

ΔH°rxn = ΣνΔH°f,p − ΣνΔH°f,r

Scale a step

ΔH′ = multiplier × ΔHstep

Hess sum

ΔHtotal = ΣΔH′
Thermochemical state function

Calculate ΔHrxn or combine Hess steps

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

Use phase-specific formation data at one reference temperature. Numerical inputs and displayed results use at most three decimal places.

ΔHrxn

Enter phase-specific formation data or define the Hess operations.

Using the model

Symbols, assumptions and limitations

Interpretation notes

Enthalpy is a state function, so Hess steps may be reversed and multiplied before addition. Reversing a reaction changes the sign of ΔH; multiplying the entire equation multiplies ΔH by the same factor. Formation data must refer to the stated phases and a common reference temperature, normally 298.15 K.

Worked examples

See the method in practice

01

Methane combustion

Using standard formation enthalpies, products minus reactants gives a negative ΔH for CH₄ combustion, identifying an exothermic reaction.

02

Reversing a Hess step

If a required intermediate reaction is written backward, its enthalpy sign must also be reversed before the steps are added.

Questions

Frequently asked

Why is elemental standard-state formation enthalpy zero?

The standard enthalpy of formation of an element in its reference form is defined as zero, not measured as an absence of energy.

Do phases matter?

Yes. H₂O(l) and H₂O(g) have different formation enthalpies, so phase labels must match the intended reaction.

Does Hess’s law require the same reaction pathway?

No. Because enthalpy is a state function, only the initial and final states determine the total enthalpy change.

Sources & review

Equations and examples are checked against the references below. Results are educational and should be independently verified for safety-critical work.

OpenStax Chemistry — Enthalpy OpenStax Chemistry — Hess’s Law

Written by the STEM Hub editorial team · Reviewed August 11, 2026 · Review methodology