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osmotic pressure

General ChemistrySolutionsColligative properties

Summary

Osmotic pressure is the pressure that must be applied to a solution to stop net flow of solvent into it across a semipermeable membrane. It is colligative (Π = iMRT), so it depends on particle concentration, not identity. Water flows toward the higher-Π side.

Detail

Meaning: Osmosis is the net movement of solvent across a semipermeable membrane toward the side with more dissolved particles. Osmotic pressure (Π) is the pressure you would have to apply to the solution side to stop that net flow. It is a colligative property, so it depends on the concentration of solute particles that cannot cross the membrane, not on what they are.

Equation: Π = iMRT, where Π is osmotic pressure (Pa, though atm is common), i is the van't Hoff factor (dimensionless, about the number of particles per formula unit), M is molarity (mol/m³, though mol/L is common), R is the gas constant (8.314 J/(mol·K), or 0.0821 L·atm/(mol·K) for M in mol/L and Π in atm), and T is absolute temperature (K).

On the MCAT: Expect a U-tube or a cell placed in a solution. You predict which way water moves (toward higher osmolarity), compare Π for 0.1 M NaCl and 0.1 M glucose (NaCl is about twice as large because i ≈ 2), or calculate Π directly. Red blood cells swell in hypotonic solutions and shrink in hypertonic ones. Applying pressure greater than Π reverses the flow, which is reverse osmosis.

Common confusion: Students think the high-Π solution pushes water out. It does the opposite: water is drawn into it. Π is the pressure needed to prevent that inflow, so the more concentrated solution has the larger Π and gains water.

Sources

  • Chemistry: The Central Science
  • Chemistry: Atoms First
  • General Chemistry: Principles and Modern Applications

Written for the MCAT and checked before it was published. For study reference only. Spotted an error? Let us know.

osmotic pressure: MCAT Glossary