Calculate the value of $\Delta G$ for the following reaction at $300 \ K$.
$H_2O_{(s)} \longrightarrow H_2O_{(l)}$
$(\Delta H = 7 \ kJ, \Delta S = 24.8 \ J \ K^{-1})$

  • A
    $0.74 \ kJ \ mol^{-1}$
  • B
    $-0.82 \ kJ \ mol^{-1}$
  • C
    $0.21 \ kJ \ mol^{-1}$
  • D
    $-0.44 \ kJ \ mol^{-1}$

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$\Delta G$ is net energy available to do useful work and is thus a measure of "free energy". Show mathematically that $\Delta G$ is a measure of free energy. Find the unit of $\Delta G$. If a reaction has positive enthalpy change and positive entropy change,under what condition will the reaction be spontaneous?

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The essential condition for the feasibility of a reaction is that

For independent processes at $300 \ K$,determine the number of non-spontaneous processes from the following table:
Process $\Delta H \ (kJ \ mol^{-1})$ $\Delta S \ (J \ K^{-1} \ mol^{-1})$
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$B$ $-22$ $40$
$C$ $25$ $-50$
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