What change would increase the amount of solid solute able to be dissolved in liquid water?

For many solids dissolved in liquid water, the solubility increases with temperature.
The increase in kinetic energy that comes with higher temperatures allows the solvent molecules to more effectively break apart the solute molecules that are held together by intermolecular attractions.
The increased vibration (kinetic energy) of the solute molecules causes them to dissolve more readily because they are less able to hold together.

Is there a diagram/picture you can provide? it seems this question goes along with a