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Osmotic Pressure

Π = MRT (van't Hoff); Π = cRT for ideal dilute solution
Quick Reference
Formula / NotationΠ = MRT (van't Hoff); Π = cRT for ideal dilute solution
Also Known AsOsmotic pressure, Π, van't Hoff osmotic pressure, turgor pressure (biological)

What is Osmotic Pressure?

The pressure that must be applied to a solution to prevent osmosis through a semi-permeable membrane. Given by π = MRT (van't Hoff equation), where M is molar concentration and T is temperature. Used to measure molar mass of large molecules and in water purification (reverse osmosis).

Formula & Notation

Π = MRT (van't Hoff); Π = cRT for ideal dilute solution

Other Names / Synonyms: Osmotic pressure, Π, van't Hoff osmotic pressure, turgor pressure (biological)

Properties & Characteristics

Osmotic pressure (Π) is the pressure that must be applied to a solution to prevent osmosis (the flow of solvent from pure solvent through a semipermeable membrane into the solution). It is a colligative property: Π = iMRT, where i is the van't Hoff factor, M is molarity, R = 8.314 J/mol·K, T is absolute temperature. High solute concentrations produce high osmotic pressures. Blood plasma osmotic pressure ≈ 7.7 atm at 37°C.

Uses & Applications

Osmotic pressure is applied in: desalination (reverse osmosis, where pressure exceeding Π forces water through membrane against osmosis), pharmaceutical IV solution design (isotonic solutions at 0.9% NaCl or 5% glucose to match blood osmotic pressure), membrane osmometry (measuring polymer molar masses), cell biology (osmotic stress causes cell shrinkage or lysis), and food preservation (high sugar/salt concentrations create osmotic pressure that dehydrates microorganisms).

Safety Information

Intravenous solutions must be carefully isotonic: hypotonic solutions cause red blood cell lysis (haemolysis); hypertonic solutions cause crenation (cell shrinkage). Rapid shifts in plasma osmolality (hypernatraemia correction too fast) can cause dangerous central pontine myelinolysis. Reverse osmosis membranes under high pressure require pressure-rated equipment and relief valves.

Always consult the SDS/MSDS before handling any chemical. This information is for educational purposes only.

Key Facts

Term Osmotic Pressure
Formula Π = MRT (van't Hoff); Π = cRT for ideal dilute solution
Synonyms Osmotic pressure, Π, van't Hoff osmotic pressure, turgor pressure (biological)

Frequently Asked Questions

The pressure that must be applied to a solution to prevent osmosis through a semi-permeable membrane. Given by π = MRT (van't Hoff equation), where M is molar concentration and T is temperature. Used to measure molar mass of large molecules and in water purification (reverse osmosis).

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