Final answer:
Yes, the entropy increases when a substance is heated with no change of state because the molecules move faster and have more energy.
Step-by-step explanation:
The correct answer is option 1) Yes, because the molecules move faster and have more energy.
Entropy is a measure of the degree of disorder or randomness in a system. When a substance is heated, the molecules gain kinetic energy and move faster. This increase in molecular motion leads to a greater disorder in the system, hence increasing the entropy.
For example, when a solid is heated, the particles vibrate more vigorously, and when a liquid is heated, the particles move more freely, increasing the randomness and entropy of the system.