Entropy (\(\mathrm{S}\)) is a measure of the disorder or randomness in a system. When a system increases its disorder, the entropy of the system increases.
Step 2: Determining the Sign of \(\Delta \mathrm{S}\)
The change in entropy (\(\Delta \mathrm{S}\)) is positive when the disorder of the system increases. This is because an increase in disorder corresponds to an increase in entropy.