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The ionisation energy of solid NaCl is 180 kcal per mol.The dissolution of the solid in water in the form of ions is endothermic to the extent of 1 kcal per mol. If the solvation energies of Na+ and Cl- ions are in the ratio 6 : 5, what is the enthalpy of hydration of sodium ion ?
  • a)
    -85.6 kcal/mol
  • b)
    -97.6 kcal/mol
  • c)
    82.6 kcal/mol
  • d)
    +100 kcal/mol
Correct answer is option 'B'. Can you explain this answer?
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The ionisation energy of solid NaCl is 180 kcal per mol.The dissolutio...

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The ionisation energy of solid NaCl is 180 kcal per mol.The dissolutio...


Given Information:
- Ionisation energy of solid NaCl: 180 kcal/mol
- Endothermic dissolution in water: 1 kcal/mol
- Solvation energy ratio Na+ : Cl- = 6 : 5

Calculating Enthalpy of Hydration:
1. The dissolution of solid NaCl in water involves two steps:
- Breaking the ionic bonds (ionisation energy): +180 kcal/mol
- Formation of Na+ and Cl- ions in solution: +1 kcal/mol

2. The total energy required for the dissolution is +181 kcal/mol.

3. Let the enthalpies of solvation of Na+ and Cl- ions be 6x and 5x kcal/mol respectively.

4. Total energy released upon solvation:
- 6x (for Na+) + 5x (for Cl-) = 181 kcal/mol

5. Solving the equation:
- 11x = 181 kcal/mol
- x = 16.45 kcal/mol

6. Enthalpy of hydration of Na+ ion:
- 6x = 6 * 16.45 = 98.7 kcal/mol

Conclusion:
Therefore, the enthalpy of hydration of the sodium ion is approximately -97.6 kcal/mol, which corresponds to option 'B'.
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The ionisation energy of solid NaCl is 180 kcal per mol.The dissolution of the solid in water in the form of ions is endothermic to the extent of 1 kcal per mol. If the solvation energies of Na+and Cl-ions are in the ratio 6 : 5, what is the enthalpy of hydration of sodium ion ?a)-85.6 kcal/molb)-97.6 kcal/molc)82.6 kcal/mold)+100 kcal/molCorrect answer is option 'B'. Can you explain this answer?
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