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Osmolarity Calculator

Calculate osmolarity from solute concentrations and Van t Hoff factors.
Supports up to 4 solutes.
Compare to plasma osmolarity and understand osmotic pressure.

Osmolarity

Osmolarity is the total concentration of solute particles in a solution, expressed in osmoles per liter (Osm/L or mOsm/L).

Formula for one solute:

Osmolarity = i × M

For multiple solutes:

Osmolarity = Σ(iₙ × Mₙ) = i₁M₁ + i₂M₂ + i₃M₃ + ...

Where:

  • i = Van’t Hoff factor (number of particles per formula unit)
  • M = molar concentration (mol/L)

Osmolarity vs Osmolality:

  • Osmolarity = osmoles per liter of solution (Osm/L) — more common in lab
  • Osmolality = osmoles per kg of solvent (Osm/kg) — used clinically, independent of temperature

For dilute aqueous solutions, osmolarity ≈ osmolality.

Clinical reference values:

Fluid Osmolarity
Normal plasma 285–295 mOsm/L
Isotonic saline (0.9% NaCl) ~308 mOsm/L
D5W (5% dextrose) ~252 mOsm/L
Urine (normal) 50–1200 mOsm/L
Seawater ~1000 mOsm/L

Tonicity (clinical:

  • Isotonic: same osmolarity as plasma (~285–295 mOsm/L) — no net water movement
  • Hypotonic: lower osmolarity — cells swell (water enters)
  • Hypertonic: higher osmolarity — cells shrink (water leaves)

Osmotic pressure:

π = i × M × R × T

Where R = 0.08206 L·atm/(mol·K) and T is temperature in Kelvin. For plasma at 37°C: π ≈ 7.8 atm (~5900 mmHg).

Serum osmolarity estimation (clinical formula): Serum Osm ≈ 2[Na⁺] + [glucose]/18 + [BUN]/2.8 (concentrations in mEq/L and mg/dL)

Common i values:

Solute i
Glucose (non-electrolyte) 1
Urea 1
NaCl (dilute) 2
KCl 2
MgCl₂ 3
Na₂SO₄ 3
CaCl₂ 3

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