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5.4.5Physical Chemistry and Transition Elements

The Effect of Ionic Charge and Radius on Enthalpy

5 min read 4 parts Lesson 25 of 40 Virtual lab

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Part 1 of 4Electrostatic Attraction

5.4.5 The Effect of Ionic Charge and Radius on Enthalpy

Both lattice enthalpy and hydration enthalpy come from attraction between opposite charges.

Higher charge
  • Greater charges on the ions give a stronger attraction, so lattice and hydration enthalpies are more exothermic.
Smaller radius
  • Smaller ions allow their centres to approach closely, so the force between them is greater and enthalpy changes are more exothermic.
Charge density
  • Charge divided by size indicates the strength of the field around an ion, which explains both effects.
Distance matters
  • The force falls rapidly as separation increases, so radius of both cation and anion matters in the lattice.

Part 2 of 4Comparing Compounds

Use the same reasoning pattern for any comparison question.

1
Identify the ions in each compound and compare their charges first, since charge usually has the biggest effect.
2
Where the charges are equal, compare the ionic radii; a smaller sum of radii gives a more exothermic lattice enthalpy.
3
MgO has a much more exothermic lattice enthalpy than NaCl, because both ions have double the charge and Mg²⁺ is smaller than Na⁺.
4
Down a group, for example NaF, NaCl, NaBr, NaI, the anion grows larger, so the lattice enthalpy becomes less exothermic.
5
State the conclusion in terms of the strength of attraction between ions, not in terms of 'bonds being stronger' without explanation.

Part 3 of 4Hydration of Ions

Hydration of Ions
Mg²⁺ and Na⁺
  • Mg²⁺ has a higher charge and smaller radius than Na⁺, so its hydration enthalpy is much more exothermic.
Group 1 cations
  • Hydration enthalpy becomes less exothermic from Li⁺ to Cs⁺ as the ions get larger and charge density falls.
Halide anions
  • F⁻ is hydrated more strongly than I⁻ because it is smaller and has a greater charge density.
Overall effect
  • Solubility depends on the balance between the change in lattice enthalpy and the change in hydration enthalpy.
PropertyIncreased chargeIncreased radius
Lattice enthalpyMore exothermicLess exothermic
Hydration enthalpyMore exothermicLess exothermic

Part 4 of 4Exam Checklist & Tips

5.4.5 – Key Points for the Exam

  • Charge density The ratio of an ion's charge to its size.
  • Ionic radius The size of an ion, which is smaller for a cation than its atom and larger for an anion.
  • Lattice enthalpy The enthalpy change when one mole of an ionic lattice forms from gaseous ions.
  • Hydration enthalpy The enthalpy change when gaseous ions become aqueous ions.

Common Mistakes

  • Explaining a change in lattice enthalpy using the strength of 'covalent bonds' instead of ionic attraction.
  • Comparing only the radius of one ion and ignoring that of the other ion in the lattice.
  • Ignoring charge when comparing, for example claiming that NaF and MgO are similar because both contain small ions.
  • Writing 'more exothermic' as 'higher' without saying whether the value is more negative.
Try it in the virtual labCalorimetry: enthalpy change \n