Due to molecules moving more chaotic with high temperatures there are more chances that water and soap reach the surface to clean, grab and carry the dirtiness. There is more “vacuum”.
You can dissolve sugar in liquid water but you can’t dissolve sugar in ice. It’s like an spectrum the hotter the more chances of a sugar to get blended due to more “gaps of matter”.
Same happens with fats, the hot the water heat the fat, and therefore there is more “gaps” in the fat, so the water molecules and soap can enter easily inside, and then grab them it and being carried away by the water stream.
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