What term refers to a measure of how much solute can dissolve in a solvent?

The correct term that refers to a measure of how much solute can dissolve in a solvent is solubility. Solubility specifically describes the maximum amount of solute that can be dissolved in a specified amount of solvent at a given temperature and pressure, providing a quantitative measure of the solute's ability to dissolve.

Concentration, while related to the amount of solute in a solution, is a broader term that expresses how much solute is present in a certain volume of solvent, but it does not specify the limit to which the solute can dissolve. Homogeneity refers to the uniformity of the composition in a mixture, and viscosity measures a fluid's resistance to flow, neither of which applies to the capacity of a solute to dissolve in a solvent.