Soap is half fat, half water-soluble stuff. The fat part will congeal like wax in colder temps. Maybe not into one lump but in many small lumps you can’t see. In hotter water, the molecules are moving around more so the fat parts don’t have as much of a chance to stick together, so the soap molecules are getting out there and doing their thing more.
Hot things have more energy. More energy means things tend to want to move more. The soap particles will disperse faster in the water because of this and when the soap is spread out, it’s “soapy water”.
It happens in cold water too, it’s just that the soap is a bit more clumpy and not as evenly spread.
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