How does soaking dishes in hot water help get dried crud off on a molecular level?

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How does soaking dishes in hot water help get dried crud off on a molecular level?

In: Chemistry

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Soap molecules in the water have two ends, a water loving head and a fat loving tail. The tail is able to slip into dirt and grease spots, whereas the heads can remain ‘dissolved’ in the solution. This means that tiny particles of dirt and grease are more easily able to get into the water, with the aid of mechanical scrubbing, and stay as an emulsion.

In addition, high temperatures themselves help to ‘loosen’ some components which may be long organic chains, as well as slightly melt organic compounds that have a relatively low melting point, like a lot of fats.