The factors that will increase the solubility of a solute are:
A) stirring the solution - Yes, stirring helps distribute the solute throughout the solvent, increasing the rate of dissolution.
B) heating the solution - Yes, for most solid solutes, increasing the temperature typically increases solubility.
C) increasing the surface area of the solute - Yes, increasing the surface area (e.g., by crushing a solid solute) allows more solute particles to interact with the solvent at once, enhancing the rate of dissolution.
So the correct options are A, B, and C.
D) decreasing the surface area of the solute - No, this would typically decrease the rate of dissolution and solubility.
E) cooling the solution - No, for most solutes, cooling generally decreases their solubility.
In summary, the correct answers are A, B, and C.