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Serum Osmolality Calculator
Calculate serum osmolality from sodium, glucose, and BUN values. Identify osmolal gap and evaluate hydration, electrolyte disorders, and toxic ingestions.
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What Is Serum Osmolality?
Serum osmolality measures the concentration of dissolved solutes in plasma, expressed in milliosmoles per kilogram of water (mOsm/kg). The clinically accepted normal range is 275–295 mOsm/kg. Physicians use this value to assess hydration status, diagnose electrolyte disorders, evaluate altered mental status, and screen for toxic ingestions in emergency and critical care settings.
The Serum Osmolality Formula
The standard equation used across US clinical practice is:
Posm = 2 × [Na+] + (Glucose ÷ 18) + (BUN ÷ 2.8)
This three-term equation captures the dominant osmotically active components of plasma. According to the StatPearls review on serum osmolality (NIH Bookshelf), sodium and its paired anions account for roughly 270–290 mOsm/kg in a healthy adult, while glucose and urea each contribute approximately 5 mOsm/kg under fasting conditions.
Variable Definitions
- Sodium [Na+] — Normal range: 135–145 mEq/L. Multiplied by 2 to approximate the contribution of paired anions, primarily chloride and bicarbonate. Sodium is the principal extracellular cation and the primary determinant of plasma tonicity. Dysnatremia is the most common electrolyte disorder in hospitalized patients.
- Glucose — Normal fasting range: 70–100 mg/dL. Divided by 18 to convert from mg/dL to mmol/L. A fasting glucose of 90 mg/dL contributes approximately 5 mOsm/kg. In hyperglycemic hyperosmolar state (HHS), glucose can exceed 600 mg/dL, adding more than 33 mOsm/kg to plasma osmolality.
- BUN (Blood Urea Nitrogen) — Normal range: 7–20 mg/dL. Divided by 2.8 to convert to mmol/L. Urea is an ineffective osmole — it crosses cell membranes freely and does not drive transcellular water shifts — but it does contribute to total measured and calculated osmolality.
Worked Clinical Example
A 62-year-old with poorly controlled diabetes presents with confusion. Laboratory values show sodium 136 mEq/L, glucose 540 mg/dL, and BUN 28 mg/dL. Calculated osmolality = (2 × 136) + (540 ÷ 18) + (28 ÷ 2.8) = 272 + 30 + 10 = 312 mOsm/kg. The markedly elevated glucose term identifies hyperglycemic hyperosmolar state as the primary driver, guiding aggressive intravenous fluid resuscitation and insulin therapy.
The Osmolal Gap
The osmolal gap equals directly measured osmolality minus the calculated value. A normal gap is less than 10 mOsm/kg. Elevated gaps indicate unmeasured osmoles — most critically, toxic alcohols such as methanol or ethylene glycol. A gap exceeding 25 mOsm/kg in a patient with high anion gap metabolic acidosis and altered mental status carries high specificity for toxic alcohol poisoning. Research published in PMC (2014), evaluating accuracy of serum osmolarity prediction equations, demonstrated that the standard formula provides the most reliable baseline for osmolal gap calculations across diverse patient populations, including frail older adults.
Including Ethanol in the Calculation
When a serum ethanol level is available, the expanded formula is:
Posm = 2 × [Na+] + (Glucose ÷ 18) + (BUN ÷ 2.8) + (Ethanol ÷ 3.7)
Ethanol at the US legal driving limit of 80 mg/dL contributes approximately 21.6 mOsm/kg. Incorporating a known ethanol level prevents false elevation of the osmolal gap and improves detection of co-ingested toxic alcohols such as methanol or ethylene glycol in emergency toxicology evaluations.
Formula Variants
Multiple prediction equations appear in the literature. A simplified variant omitting BUN is sometimes used when evaluating effective tonicity, since urea does not drive cellular water movement. However, omitting BUN underestimates measured osmolality in azotemic patients and inflates the osmolal gap artificially; the standard three-term formula is recommended for gap calculations. Some institutions apply a constant correction factor, but evidence does not consistently support improved accuracy over the standard equation.
Clinical Indications
Dehydration and Hypernatremia
Osmolality above 295 mOsm/kg signals relative free-water deficit. Values above 320 mOsm/kg correlate with altered consciousness and seizure risk requiring urgent intervention.
Hyponatremia Classification
Calculating osmolality distinguishes true hypo-osmolar hyponatremia from pseudohyponatremia (normal osmolality with artifactually low sodium caused by severe hyperlipidemia or hyperproteinemia).
SIADH Diagnosis
Low serum osmolality combined with inappropriately concentrated urine supports syndrome of inappropriate antidiuretic hormone (SIADH), directing fluid restriction rather than saline supplementation.
Toxic Ingestion Screening
An unexplained osmolal gap above 20 mOsm/kg in a patient with high anion gap metabolic acidosis warrants urgent evaluation for methanol or ethylene glycol poisoning and potential fomepizole therapy.
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