Osmosis is the net diffusion of water across a membrane that lets water through but not the solutes, from the solution where water is more concentrated (fewer solutes) to the one where it is less. It is described by the water potential , the chemical potential of water expressed as a pressure, zero for pure water at atmospheric pressure:
where , the solute potential, falls with the total solute concentration (in osmoles per litre, the van ’t Hoff law) and , the pressure potential, is the hydrostatic pressure above atmospheric. Water moves from higher to lower . At , : a solution has . A solution is isotonic to a cell when no net water moves, hypotonic when water enters, hypertonic when it leaves.
Examples
Example 7.7 (A red cell in three solutions)
Plasma is : on both sides, no net flow. In pure water () the cell, at inside, takes up water until its membrane, which can stretch only a few percent, ruptures. In salt it loses water until its inside is as concentrated, at half its volume. A plant cell in pure water does not burst: as water enters, the wall is stretched and rises until , the water potential inside is zero, and the flow stops with the cell turgid at .