Osmotic Pressure — Van't Hoff's Law

Solute particles cross a semipermeable membrane driven by concentration gradients

Setup

Π = cRT
ΔΠ = -- atm
Van't Hoff (1886): osmotic pressure Π = cRT, where c is molar concentration, R the gas constant, T temperature.

Water flows through the semipermeable membrane (blue line) to equalize chemical potential. Solute molecules (large colored dots) cannot cross.

Watch the water level change and pressure build!