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Chemistry · THERMODYNAMICS

हिन्दी

Given the following thermochemical data for \( \text{NaCl} \): Sublimation enthalpy of sodium: \( +108.4\text{ kJ mol}^{-1} \) Ionization enthalpy of sodium: \( +496\text{ kJ mol}^{-1} \) Dissociation enthalpy of \( \text{Cl}_2 \): \( +242\text{ kJ mol}^{-1} \) Electron gain enthalpy of chlorine: \( -348.6\text{ kJ mol}^{-1} \) Standard enthalpy of formation of \( \text{NaCl}(s) \): \( -411.2\text{ kJ mol}^{-1} \) What is the lattice enthalpy (\( \Delta_{\text{lattice}} H^\ominus \)) of \( \text{NaCl}(s) \)?

  1. \( +667.0\text{ kJ mol}^{-1} \)
  2. \( -788.0\text{ kJ mol}^{-1} \)
  3. \( +788.0\text{ kJ mol}^{-1} \)
  4. \( +909.0\text{ kJ mol}^{-1} \)

Correct answer · Option 3

\( +788.0\text{ kJ mol}^{-1} \)

Explanation

\( \Delta_f H^\ominus = \Delta_{\text{sub}} H + \Delta_i H + \frac{1}{2}\Delta_{\text{bond}} H + \Delta_{eg} H - \Delta_{\text{lattice}} H \). Therefore, \( \Delta_{\text{lattice}} H = 108.4 + 496 + 121 - 348.6 - (-411.2) = +788.0\text{ kJ mol}^{-1} \).
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