ThermodynamicsBorn–Haber cycles

Year 13 · AQA & OCR A

Born–Haber cycles

Build the route from elements to gaseous ions, then use Hess's law to find the missing enthalpy. The practice includes 1:1, 1:2 and 2:1 salts, second electron affinity and the lattice-sign convention your board expects.

Find the missing term

Nothing is drawn for you first. Build the Hess relationship yourself; ask for a clue only if you need one.

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Skill: Born–Haber bookkeepingBorn–Haber practice · SITE 2.26.1

Choose every step that one mole of the solid needs

Set the coefficient on each required term. Distractors are mixed in, so count the ions before you click.

Count first, calculate second

For MgCl2, one mole of solid needs one Mg2+ ion and two Cl ions. That means IE1 + IE2 for magnesium, but 2 × chlorine atomisation and 2 × EA1.

Second electron affinity changes the sign pattern

EA1 for oxygen is exothermic. EA2 is endothermic because an electron is being added to O(g). Do not copy the sign of EA1 onto EA2.

AQA: read the lattice definition

AQA may give lattice enthalpy of formation or lattice enthalpy of dissociation. They describe opposite directions, so their signs are opposite. This practice states the convention every time.

OCR A: use lattice formation

OCR A defines lattice enthalpy as the enthalpy change when one mole of ionic lattice forms from its gaseous ions. The OCR route therefore keeps the formation convention throughout.

Connect lattice enthalpy to hydration and solution

Use the same Hess bookkeeping with a different route: separate the lattice into gaseous ions, hydrate those ions, and connect the steps to ΔHsol.

Practise lattice & hydration

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