Yes, Water moves through osmosis as it transitions from a high concentration to a low concentration. Osmosis via the dialysis tube was demonstrated by the fact that there was an increase in liquid in the dialysis bag and a decrease in water and iodine solution in the cup.
Osmosis is the passage of water through a membrane, and movement occurs continuously. A membrane is not required for diffusion, which is the movement of molecules.
They both transition from a high concentration to a low concentration, they don't require energy, and they happen in both plants and animals.
Learn more about diffusion here:
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