The quality of a substance that allows it to dissolve is called solubility.

Here's a breakdown:

* Solubility: A measure of how much of a substance (the solute) can dissolve in a given amount of another substance (the solvent) at a specific temperature and pressure.

* Solute: The substance that dissolves in a solvent.

* Solvent: The substance that dissolves the solute.

For example, sugar is soluble in water because it can dissolve in water to form a sugar solution. Salt is also soluble in water, but oil is not.