Final answer:
At dynamic equilibrium, there will be an even exchange of material across the membrane, including both water and glucose molecules, without any net movement in either direction.
Step-by-step explanation:
When two solutions of different glucose concentrations are separated by a selectively permeable membrane that allows both glucose and water to pass through, dynamic equilibrium is characterized by a constant, even exchange of materials across the membrane. Despite this continuous exchange, there is no net movement of substances; the rates of movement in both directions are equal. In the scenario where a hypertonic glucose solution (lower water concentration) is separated from a hypotonic solution (higher water concentration), the water molecules will move from the hypotonic to the hypertonic solution. This movement will occur until the concentrations of the solutions equalize, constituting an isotonic environment where both solutions have the same concentration of water and glucose. Osmosis is the movement of water across the membrane, and once equilibrium is achieved, the net flow of water ceases, while individual water molecules may still pass through the membrane in both directions. Therefore, when dynamic equilibrium is reached, there will be an even exchange of material across the membrane, which includes both water and glucose molecules, without net movement in either direction, corresponding to option d.