Key ideas
Thermochemistry follows the heat exchanged in chemical and physical changes. The enthalpy change ΔH is negative for exothermic reactions, which release heat, and positive for endothermic ones.
- Heat to change temperature is q = mcΔT. Water has c = 4.18 J/(g·°C).
- Hess’s law: the enthalpy change of a reaction is the same whether it takes one step or several, so equations and their ΔH values can be added.
- Using formation enthalpies, ΔH°_rxn = ΣΔH°f(products) − ΣΔH°f(reactants), with elements in their standard state at zero.
- With bond enthalpies, ΔH ≈ energy to break bonds in the reactants minus energy released forming bonds in the products.
Key equations
q = mcΔTΔH°_rxn = ΣΔH°f(products) − ΣΔH°f(reactants)ΔH ≈ Σ bonds broken − Σ bonds formedq = mL (phase change)
Worked example
Burning methane: CH₄ + 2 O₂ → CO₂ + 2 H₂O(l). With ΔH°f of −74.8 for CH₄, −393.5 for CO₂ and −285.8 kJ/mol for H₂O(l): ΔH°_rxn = [−393.5 + 2(−285.8)] − (−74.8) = −890.3 kJ per mole of methane. In a calorimeter, 100.0 g of water warming from 20.0 °C to 25.0 °C absorbs q = 100.0 × 4.18 × 5.0 = 2090 J.
Common mistakes
- Forgetting to multiply ΔH°f by the stoichiometric coefficient.
- Reversing the products-minus-reactants order, which flips the sign of ΔH.
- Using ΔH for one mole of reaction without scaling when the equation is doubled or reversed.
Practice
Test yourself with practice questions on this topic: Thermochemistry