Chemistry Thermochemistry MDCAT 2010
PMDC Verified Question 81 of 81
When one mole of gaseous hydrogen ions are dissolved in water to form infinitely dilute solution, amount of heat liberated is:
A
\( -1562 \text{ kJ/mol} \)
B
\( -499 \text{ kJ/mol} \)
C
\( -1891 \text{ kJ/mol} \)
D
\( -1075 \text{ kJ/mol} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: \( -1075 \text{ kJ/mol} \)
Concept:

The standard enthalpy of hydration (\( \Delta H_{\text{hyd}} \)) is the enthalpy change when one mole of gaseous ions dissolves in sufficient water to give an infinitely dilute solution.

Formula:

$$ H^+_{(g)} + H_2O_{(l)} \rightarrow H_3O^+_{(aq)} $$

Solution:

  • The gaseous hydrogen ion (\( H^+ \)) is extremely small and possesses a very high charge density.


  • When it interacts with the polar water molecules, strong ion-dipole forces are established, releasing a massive amount of heat energy.


  • Experimentally, the hydration energy of the \( H^+ \) ion is exceptionally high and is recorded as \( -1075 \text{ kJ/mol} \).


Why other options are incorrect:

The other numerical values do not match the measured standard enthalpy of hydration for the proton. They are incorrect distractor values.

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