Serum Osmolality Calculator

Find serum osmolality.

Result

301 mOsm/kg

How it is calculated

The engine uses the common estimating formula osmolality = 2 × Na + glucose / 18 + BUN / 2.8. Sodium (Na) is entered in mmol/L (the same number as mEq/L), glucose in mg/dL and blood urea nitrogen (BUN) in mg/dL. The sodium term is doubled to account for its accompanying anions; dividing glucose by 18 and BUN by 2.8 converts mg/dL into mmol/L. The sum is rounded to a whole number and shown in mOsm/kg. No ethanol or other term is included, and no reference range is applied, so the figure is an estimate to compare with a lab-measured osmolality, not a diagnosis. All three fields are required.

Worked example

Sodium 128 mmol/L, glucose 540 mg/dL, BUN 42 mg/dL. Sodium term: 2 × 128 = 256. Glucose term: 540 / 18 = 30. BUN term: 42 / 2.8 = 15. Sum: 256 + 30 + 15 = 301 mOsm/kg. Even though sodium is low, the high glucose pushes the calculated osmolality up.

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Common mistakes

  • Entering glucose in mmol/L (for example 5.5) instead of mg/dL (about 100); the glucose term then shrinks to almost nothing and the result is too low.
  • Entering BUN as urea in mmol/L, or as urea rather than urea nitrogen; the 2.8 divisor only fits BUN in mg/dL.
  • Entering sodium in mg/dL or doubling it before typing it in; the engine already multiplies sodium by 2.
  • Comparing the calculated value with a measured osmolality that was taken at a different time from the blood chemistry; the gap between them is only meaningful when both come from the same sample.
  • Expecting alcohol to be included: the formula has no ethanol term, so alcohol raises the measured value but not this calculated one.

About this calculator

This calculator estimates serum osmolality from sodium, glucose, and blood urea nitrogen (BUN) using the standard formula: 2×Na + glucose/18 + BUN/2.8 (sodium in mmol/L, glucose and BUN in mg/dL). It reflects the concentration of dissolved particles in the blood and helps identify whether a measured osmolality gap is present.

Clinicians, lab technicians, and medical students use it alongside a directly measured osmolality to screen for unmeasured osmotically active substances such as toxic alcohols. Enter sodium, glucose, and BUN to get the calculated osmolality in mOsm/kg.

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