Step 1: Understanding the Concept:
Entropy measures disorder. A process that makes the system more ordered has \(\Delta S < 0\).
Step 2: Check option (A).
Sugar dissolving in water spreads out the sugar molecules, so disorder increases and \(\Delta S > 0\).
Step 3: Check option (B).
In adsorption a gas molecule that moved freely gets held on a surface. Its freedom drops, so \(\Delta S < 0\).
Step 4: Check option (C).
\(2\text{NH}_3 \to \text{N}_2 + 3\text{H}_2\) increases gas moles from 2 to 4, so \(\Delta S > 0\).
Step 5: Check option (D).
Sublimation of dry ice turns a solid into a gas, a huge rise in disorder, so \(\Delta S > 0\).
Final Answer:
Only adsorption of a gas on a solid has a negative \(\Delta S\), option (B).
\[ \boxed{\text{(B)}} \]