Here are notes on the terms you requested:
Diffusion: This is the net movement of particles (atoms, ions, or molecules) from an area of higher concentration to an area of lower concentration*. It is a passive process that does not require energy and continues until the particles are evenly distributed.
Osmosis: This is a special type of diffusion that specifically refers to the net movement of water molecules across a selectively permeable membrane* from an area of higher water potential (lower solute concentration) to an area of lower water potential (higher solute concentration).
Plasmolysis: This process occurs in plant cells when they are placed in a hypertonic solution* (higher solute concentration outside the cell). Water leaves the cell by osmosis, causing the protoplast (cell membrane and cytoplasm) to shrink and pull away from the rigid cell wall, making the cell flaccid.
Hemolysis: This is the bursting of red blood cells (or other animal cells) when they are placed in a hypotonic solution* (lower solute concentration outside the cell). Water rushes into the cell by osmosis, and because animal cells lack a rigid cell wall, the cell membrane cannot withstand the internal pressure and ruptures.
Turgidity: This is the state of a plant cell being firm and rigid due to the influx of water by osmosis when it is in a hypotonic solution. The water fills the vacuole and pushes the cell membrane against the cell wall, creating turgor pressure* which helps support the plant.
Flaccidity: This is the state of a plant cell being limp or soft due to the loss of water. It occurs when a plant cell is in an isotonic or hypertonic solution*, causing water to leave the cell and the cell membrane to no longer press firmly against the cell wall, resulting in a loss of turgor pressure.