In general, entropy increases when the system's disorder increases. Let's analyze the reactions:
In reaction I, \( \text{CaCO}_3 \) breaks down into \( \text{CaO} \) and \( \text{CO}_2 \), increasing the number of moles of gases, which leads to an increase in entropy.
In reaction II, the chlorine molecule dissociates into two chlorine atoms, which increases the disorder and entropy.
In reaction III, the transition from liquid to solid reduces the disorder, and thus entropy decreases.