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Chemistry · THERMODYNAMICS

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The lattice enthalpy of \( \text{NaCl}(s) \) is \( +788\text{ kJ mol}^{-1} \) and its enthalpy of hydration (\( \Delta_{\text{hyd}} H^\ominus \)) is \( -784\text{ kJ mol}^{-1} \). What is the standard enthalpy of solution (\( \Delta_{\text{sol}} H^\ominus \)) when \( 2\text{ moles} \) of \( \text{NaCl}(s) \) are completely dissolved in excess water?

  1. \( +8\text{ kJ} \)
  2. \( +4\text{ kJ} \)
  3. \( -8\text{ kJ} \)
  4. \( -4\text{ kJ} \)

Correct answer · Option 1

\( +8\text{ kJ} \)

Explanation

Per mole: \( \Delta_{\text{sol}} H^\ominus = \Delta_{\text{lattice}} H^\ominus + \Delta_{\text{hyd}} H^\ominus = 788 - 784 = +4\text{ kJ mol}^{-1} \). For 2 moles: \( 2 \times 4 = +8\text{ kJ} \).
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