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The standard hydration enthalpies of four alkaline earth metal ions, namely Mg ²⁺ , Ca ²⁺ , Sr ²⁺ , and Ba ²⁺ , are given in a random order as -1305 kJ mol ⁻¹ , -1921 kJ mol ⁻¹ , -1577 kJ mol ⁻¹ , and -1443 kJ mol ⁻¹ . The hydration enthalpy of the Mg ²⁺ ion is:

Options

  1. A-1305 kJ mol ⁻¹
  2. B-1921 kJ mol ⁻¹
  3. C-1577 kJ mol ⁻¹
  4. D-1443 kJ mol ⁻¹

Correct answer

B. -1921 kJ mol ⁻¹

Step-by-step solution

The magnitude of hydration enthalpy depends on the size of the ion. Smaller ions have a higher charge density and thus undergo more extensive hydration, releasing more energy (more negative hydration enthalpy). The order of ionic radii for the given alkaline earth metals is Mg ²⁺ Therefore, the magnitude of hydration enthalpy follows the reverse order: Mg ²⁺ > Ca ²⁺ > Sr ²⁺ > Ba ²⁺ . Since Mg ²⁺ is the smallest ion among the four, it will have the most negative hydration enthalpy. Matching the given values, the hyd

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