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Lab Solution Osmolarity

Computes osmolarity (osmol/L) from molarity and number of dissociated particles per mole.

Osmolarity: Osm = M · i

Osmolarity counts the total concentration of osmotically active particles in a solution. The relation is Osm = M · i, where M is molarity (mol/L) and i is the van't Hoff factor, meaning how many particles each formula unit releases when it dissociates. A non-electrolyte like glucose stays whole, so i = 1. NaCl splits into Na⁺ + Cl⁻, giving i ≈ 2, and CaCl₂ breaks into Ca²⁺ + 2 Cl⁻ for i ≈ 3. Take 0.9 % NaCl: 0.154 M × 2 ≈ 0.308 Osm/L ≈ 308 mOsm/L, which sits isotonic to human plasma (~290 mOsm/kg). 5 % glucose works out to roughly 0.278 M × 1 ≈ 278 mOsm/L, also close to isotonic. One caveat worth keeping straight is that osmolarity counts per liter of solution while osmolality counts per kg of solvent and is read off a freezing-point osmometer.

Applications

You will run into this in clinical lab work (plasma and urine osmolality) and when formulating IV fluids such as saline, Ringer's lactate, or parenteral nutrition. It also underpins ANVISA rules for sterile injectables, the design of dialysis solutions, ophthalmic preparations where eye drops have to land near isotonic, and cell biology, where the osmotic pressure of culture media needs to stay under control.

FAQ

What is the difference between osmolarity and osmolality? Osmolarity is measured per liter of solution (Osm/L), osmolality per kilogram of solvent (Osm/kg). In dilute water solutions the two numbers land almost on top of each other.

Why is the van't Hoff factor not exactly an integer? Ions pair up and dissociation never goes fully to completion, which pulls the effective i down. For NaCl at physiological concentration you see i ≈ 1.85 instead of the textbook 2.

What is isotonicity? A solution that is isotonic with plasma sits around 285-295 mOsm/kg. Go above 320 mOsm/L and the solution turns hypertonic, pulling water out and shrinking cells; drop below 280 and it turns hypotonic, swelling cells until they rupture.

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