IB ChemistryReactivity 1R1.2R1.2.3

Enthalpy of Solution & Hydration

What happens energetically when an ionic compound dissolves in water.

Reactivity 1.2 HL Extension ⏱️ ~5 min revision

Key Definitions

Term Definition Sign
Enthalpy of solution
(ΔHsol)
Enthalpy change when one mole of a solute dissolves completely in excess solvent to form an infinitely dilute solution ± either
Enthalpy of hydration
(ΔHhyd)
Enthalpy change when one mole of isolated gaseous ions is completely surrounded by water molecules Always − (exo)

The Dissolving Energy Cycle

Thermodynamic Cycle

Enthalpy of Solution Equation

\( \Delta H_{\text{sol}}^\ominus = \Delta H_{\text{latt}}^\ominus + \sum \Delta H_{\text{hyd}}^\ominus \)

Where \(\Delta H_{\text{latt}}^\ominus\) is defined endothermically (lattice dissociation).

Dissolution Mechanism

The Two Steps of Ionic Dissolution

  1. Lattice breaking (endothermic): Separate the ionic lattice into gaseous ions (+ΔHlatt).
  2. Hydration (exothermic): Surround gaseous ions with polar water molecules (−ΣΔHhyd).

If hydration releases more energy than lattice breaking absorbs → ΔHsol is negative (exothermic dissolving, e.g. NaOH).
If lattice breaking absorbs more → ΔHsol is positive (endothermic dissolving, e.g. NH₄NO₃).

Periodic Trend

Hydration Enthalpy and Ionic Charge Density

Smaller ionic radius and higher ionic charge (→ higher charge density) produce stronger ion-dipole attractions with water molecules, making ΔHhyd more exothermic (e.g. Mg²⁺ has a much more negative ΔHhyd than Na⁺ or K⁺).

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