Final answer:
Increasing the temperature of the solution in chamber B would likely result in the fastest rate of water moving into chamber A through osmosis, as higher temperatures boost the kinetic energy of water molecules and thus increase the rate of diffusion.
Step-by-step explanation:
To achieve the fastest rate of water movement into chamber A through osmosis, increasing the temperature of the solution in chamber B can be an effective method. Osmosis is the movement of water across a semi-permeable membrane from an area of higher water concentration to one of lower water concentration, which is inversely proportional to the solute concentration.
Higher temperatures increase the kinetic energy of water molecules, resulting in a faster diffusion rate including the process of osmosis. Therefore, warming the solution in chamber B would increase the rate at which water moves across the membrane into chamber A, aiming to equalize the solute concentration on both sides of the membrane. Membrane permeability, solute concentration, and temperature are key factors that can affect the rate of osmosis across a semi-permeable membrane.