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Chemistry · THERMODYNAMICS

हिन्दी

If the molar enthalpy change for vaporisation of \( 1\text{ mol} \) of water at \( 1\text{ bar} \) and \( 100^\circ\text{C} \) is \( 41.00\text{ kJ mol}^{-1} \), assuming water vapour behaves as an ideal gas (\( R = 8.314\text{ J K}^{-1}\text{ mol}^{-1} \)), the change in internal energy (\( \Delta U \)) is approximately:

  1. \( 44.10\text{ kJ mol}^{-1} \)
  2. \( 41.00\text{ kJ mol}^{-1} \)
  3. \( 37.90\text{ kJ mol}^{-1} \)
  4. \( 31.00\text{ kJ mol}^{-1} \)

Correct answer · Option 3

\( 37.90\text{ kJ mol}^{-1} \)

Explanation

For \( \text{H}_2\text{O}(l) \rightarrow \text{H}_2\text{O}(g) \), \( \Delta n_g = 1 \). \( \Delta U = \Delta H - \Delta n_g RT = 41.00 - (1 \times 8.314 \times 373.15 \times 10^{-3}) \approx 41.00 - 3.10 = 37.90\text{ kJ mol}^{-1} \).
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