Does the surface area of the salute, the temperature of the savent, and the amount or agitation that
loccurs when the solute and the savent are mixed
affect the rate or dissolution, how?

if I understand ur question, you mean does the surface area of solute, temperature of solvent and the amount of particles affect the rate of dissolution?

YES

How? The surface area of the solute is the part that is in contact with the solvent. For this reason granules or powdery substance dissolves better than it lumps.

The temperature of solvent also affects dissolution. For solid solutes, increase in temperature causes solute to disslove better but for gases increase in temperature reduces their solubility

Amount of particles also affect dissolution. A quantity of solvent has limited number of particles it can dissolve. If the particles are more than the solvent can dissolve,the excess particles will precipitate out