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Question: Answered & Verified by Expert
The lattice energy of solid NaCl is 180 kcal/mol. The dissolution of the solid in water in the form of ions is endothermic to the extent of 1 kcal/mol. If the hydration energies of Na+ and Cl- are in the ratio 6 : 5, what is the enthalpy of hydration of Na+ ion ?
ChemistryThermodynamics (C)NEET
Options:
  • A - 8.5 kcal mol-1
  • B - 97.64 kcal mol-1
  • C + 82.6 kcal mol-1
  • D + 100 kcal mol-1
Solution:
2859 Upvotes Verified Answer
The correct answer is: - 97.64 kcal mol-1
Δ H solu = Δ H hydration + Δ H Lattice

1 = Δ H hydration + 1 8 0

Δ H hydration = - 1 7 9  kcal  mol - 1

Δ H hyd Na + + Δ H hyd cl - = -1 7 9  kcal  mol - 1

Δ H hyd Na + = - 1 7 9 × 6 1 1

                     = - 9 7 · 6 4  kcal  mol - 1

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