Describe the movement of water molecules is this diagram and identify the state of the solution explain why the water molecules moved in this direction

The water molecules would move from side 1 to side 2 due to the difference in concentrations. It would pass through the selectively permeable membrane from the area of high water concentration (left) to the area of low water concentration. Because this is water, and includes a membrane, it's known as osmosis.

This is just the natural process of diffusion that results due to constant, random, straight-line motion of particles.