Question

The reaction
$SO{Cl}_2+H_{2}O⟶{SO}_2+2HCl$
is endothermic by $49.4kJ$ and exoergonic by $50.8kJ$. What is the factor that makes the reaction to be spontaneous? Calculate the entropy change at $298K$.

Answer 1

$\Delta S^o=0.3362kJ{K}^{-1}$
Exoergonic means $\Delta G^o=-ve$
$\Delta G^o=-50.8kJ$
$\Delta H^o=49.4kJ$
Substituting values in $\Delta S^o=\frac{\Delta H^o-\Delta G^o}{T}$
$\Delta S^o=0.3362kJ{K}^{-1}$