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Indian Forest Service (Mains)

Chemistry optional

  • 2 papers
  • 200 marks each
  • 3 h per paper

Paper I covers physical and inorganic chemistry.

Indian Forest Service (Mains), Chemistry optional · 2023 · Paper I

Q1(b). Formation enthalpy of lithium fluoride

Question

Use the Born–Haber cycle to calculate the enthalpy of formation of LiF. Use the following data: ΔHsub = 161, ΔHdis = 79, ΔHion = 531, ΔHEA = −328 and ΔHxtal = −1239 kJ/mol.

Answer in brief

Taking the supplied 79 kJ/mol as the fluorine atomisation contribution for ½F₂ → F, ΔfH°(LiF) = −796 kJ mol⁻¹.

Key points

  • The required reaction is Li(s) + ½F₂(g) → LiF(s).
  • Atomise and ionise lithium: Li(s) → Li(g) costs 161 and Li(g) → Li⁺(g) + e⁻ costs 531 kJ/mol.
  • Atomise fluorine for one mole of F atoms (79 kJ/mol) and attach an electron: F(g) + e⁻ → F⁻(g), −328 kJ/mol.
  • Form the crystal from gaseous ions, releasing 1239 kJ/mol. Hess's law gives ΔfH° = 161 + 79 + 531 − 328 − 1239 = −796 kJ mol⁻¹.
  • The negative result shows that lattice formation more than compensates for atomisation and ionisation.

The full model answer

As written for the answer booklet: the diagram carries the working, the lines stay short. Read here only; it is not offered as a download.

Model answer to Q1(b), 2023 Paper I: solution pages 3 and 4
Solution pages 3 and 4 of 22

CoversBorn–Haber cyclelattice energyenthalpy of formationLiFHess's law