Osmosis

Biology

Osmosis is the diffusion of water across a selectively permeable membrane from where water is more concentrated to where it is less concentrated.

Definition

Osmosis is the movement of water through a membrane that lets water pass but blocks bigger things like salt or sugar, with water moving toward the side that has more dissolved material. It is the diffusion of water across a selectively permeable membrane from a solution with lower solute concentration (more water) to one with higher solute concentration (less water), requiring no energy; cells in a hypotonic solution gain water and swell, cells in a hypertonic solution lose water and shrink, and cells in an isotonic solution keep their size. Physically it is the net flow of solvent down its own chemical potential gradient, which is equivalent to flow from lower to higher osmotic pressure. The osmotic pressure of a dilute solution follows the van't Hoff relation $\Pi = iMRT$, where $i$ is the number of particles per formula unit, $M$ is molarity, $R$ is the gas constant, and $T$ is absolute temperature. Water crosses the bilayer slowly on its own and rapidly through aquaporin channels, and organisms regulate cell volume with ion pumps, contractile vacuoles, cell walls, or kidneys.

Example

Sprinkle salt on a slice of cucumber and water beads up on the surface within minutes, having moved out of the cucumber cells toward the salty outside. A red blood cell in pure water swells and bursts while in a $10$ percent salt solution it shrivels, and hospital saline is $0.9$ percent NaCl because that is isotonic with blood, so cells neither gain nor lose water. For $0.15\ \text{M}$ NaCl (physiological saline, $i = 2$) at $310\ \text{K}$, $\Pi = 2 \times 0.15 \times 0.08206 \times 310 \approx 7.6\ \text{atm}$, the pressure that would have to be applied to stop water from entering a pure-water compartment from the saline side.

Key Insight

Osmosis is why your fingers wrinkle in the bath and why a wilted plant perks up after watering; water is always moving to balance things out. Water moves toward the higher solute concentration, not away from it, so think of it as water diluting the saltier side until both sides match. Reverse osmosis desalination applies pressure greater than $\Pi$ to force water out of seawater against its natural direction, and since seawater has an osmotic pressure near $27\ \text{atm}$, that is the minimum energy cost per volume any desalination method must pay.