I know diffusion is movement of matter from high to low concentration. Does that mean that it will try to make the molarity of both sides equal?

Diffusion is indeed the movement of particles from an area of high concentration to an area of low concentration. However, it does not necessarily aim to equalize the molarity of both sides.

Molarity is a measure of the concentration of a solute in a solution, expressed as the number of moles of solute per liter of solution. Diffusion occurs due to the random motion of particles, and its goal is to achieve equilibrium, where the concentration gradient is eliminated.

In a system with two compartments separated by a semipermeable membrane, if there is a higher concentration of solute on one side, the solute particles will naturally move across the membrane towards the area of lower concentration until equilibrium is reached. At equilibrium, the concentration on both sides may or may not be equal, depending on the initial conditions and other factors.

So, while diffusion tends to reduce concentration gradients and move towards equilibrium, it does not necessarily guarantee equal molarity on both sides. It depends on the specific conditions and constraints of the system.