Enthalpy of Formation
Quick Notes
- Standard enthalpy of formation (ΔHf°) is the enthalpy change when 1 mole of a compound is formed from its elements in their standard states, under standard conditions.
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Use the following equation to calculate the enthalpy change of a reaction:
ΔH°reaction = ΣΔHf°(products) − ΣΔHf°(reactants)
Full Notes
What Is Enthalpy of Formation?
The standard enthalpy of formation (ΔHf°) is the energy change when 1 mole of a compound forms from its constituent elements in their standard states at 298 K (25°C) and 1 atm.
For elements in their standard states, ΔHf° = 0.
Examples:
- Standard enthalpy of formation of Oxygen = ΔHf°(O2(g)) = 0
- Standard enthalpy of formation of Carbon = ΔHf°(C(graphite)) = 0
- Standard enthalpy of formation of Hydrogen = ΔHf°(H2(g)) = 0
Calculating ΔH° for a Reaction
We can calculate the enthalpy change (ΔH) of a reaction by using the standard enthalpies of formation of the reactants and products.
Use the formula:

Steps
- Multiply each substance’s ΔHf° by its coefficient in the balanced equation.
- Add up all values for products.
- Add up all values for reactants.
- Subtract reactants from products.
Calculate ΔH° for this reaction: CH4(g) + 2O2(g) → CO2(g) + 2H2O(l)
Standard enthalpies of formation (in kJ/mol):
CH4(g) = −74.8; O2(g) = 0; CO2(g) = −393.5; H2O(l) = −285.8
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Products
1 mol CO2: 1 × (−393.5) = −393.5
2 mol H2O: 2 × (−285.8) = −571.6
Total: −965.1 kJ -
Reactants
1 mol CH4: 1 × (−74.8) = −74.8
2 mol O2: 2 × 0 = 0
Total: −74.8 kJ -
ΔH°reaction
ΔH° = (−965.1) − (−74.8) = −890.3 kJ

Always base your calculations on a balanced chemical equation and account for the mole ratios of all substances involved. For example, if the balanced equation shows 2 moles of H2O are formed, you must multiply the enthalpy of formation of H2O by 2 when calculating the total enthalpy change.
Summary
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The enthalpy change of a reaction can be calculated using standard enthalpies of formation:
ΔH°reaction = ΣΔHf°(products) − ΣΔHf°(reactants). - This approach is useful for determining whether a reaction is exothermic or endothermic based on known data book values.