Final answer:
The food coloring spreads out faster in the warmer water because particles of matter move faster at higher temperatures, causing quicker diffusion. So, the correct option is D.
Step-by-step explanation:
In the classroom experiment you described, the observation that the food coloring spreads out faster in beaker Y, which contains water at 80°C compared to beaker X at 20°C, demonstrates that particles of matter move faster at higher temperatures. At higher temperatures, the kinetic energy of water molecules increases, which leads to a more rapid diffusion of the food coloring. Conversely, in the colder water of beaker X, the molecules have less kinetic energy and therefore move slower, resulting in slower diffusion of the food coloring. This can be related to the principle that as the temperature of a substance increases, so does the average kinetic energy of its particles, leading to a faster rate of chemical reactions and processes like diffusion.