Step 1: Analyzing the reaction.
When \( \text{NH}_4 \text{Cl} \) is heated, it dissociates into ammonia \( \text{NH}_3 \) and HCl. The ammonia diffuses faster than HCl, which changes the litmus paper.
Step 2: Conclusion.
The correct answer is that the ammonia diffuses faster than HCl, corresponding to option (3).