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Calculated Serum Osmolality
290
mOsm/kg
Normal range 275–295 mOsm/kg
Formula 2×Na + Glucose/18 + BUN/2.8 + Ethanol/3.7

What Is the Serum Osmolality Calculator?

Serum osmolality measures the concentration of solutes dissolved in blood plasma, expressed in milliosmoles per kilogram (mOsm/kg). This calculator estimates calculated osmolality from common lab values. It uses US conventional units (mg/dL for glucose, BUN, and ethanol; mEq/L for sodium). The normal reference range is roughly 275–295 mOsm/kg.

How to Use It

Enter the patient's serum sodium, glucose, and blood urea nitrogen (BUN). If an ethanol level is available, enter it as well; otherwise leave it at zero. The calculator returns the estimated osmolality. Comparing this calculated value with a measured osmolality gives the osmolar gap, which can flag the presence of unmeasured osmoles such as methanol or ethylene glycol.

The Formula Explained

The equation is $$\text{Osm} = 2 \times \text{Na} + \frac{\text{Glucose}}{18} + \frac{\text{BUN}}{2.8} + \frac{\text{Ethanol}}{3.7}$$. Sodium is doubled to account for accompanying anions (mainly chloride and bicarbonate). Glucose is divided by 18 and BUN by 2.8 to convert mg/dL into mmol/L (their molecular weights). Ethanol is divided by 3.7 to convert its contribution into mOsm/kg.

Bar diagram showing four solute contributions summing to total serum osmolality
Each component (sodium, glucose, BUN, ethanol) adds to the total estimated osmolality.

Worked Example

For Na = 140, Glucose = 90, BUN = 14, Ethanol = 0:
$$2 \times 140 = 280; \quad 90 / 18 = 5; \quad 14 / 2.8 = 5; \quad 0 / 3.7 = 0.$$ Total = $$280 + 5 + 5 + 0 = 290 \text{ mOsm/kg},$$ which is within the normal range.

Flow diagram of four lab inputs feeding into an osmolality result
Inputs flow into the formula to produce the calculated osmolality.

FAQ

What is the osmolar gap? It is the measured osmolality minus this calculated value. A gap greater than about 10 mOsm/kg suggests unmeasured solutes.

Why include ethanol? Ethanol is osmotically active and a common cause of a raised osmolar gap, so adding it improves accuracy in intoxicated patients.

Is this a diagnostic tool? No. It is an educational estimate and should not replace clinical judgment or laboratory measurement.

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