Serum chemistry · Formula review August 2026

Serum Osmolality Calculator

Enter sodium, glucose, and BUN or urea to calculate estimated serum osmolality and effective osmolality. You can also add ethanol and a measured laboratory osmolality to estimate the osmolal gap.

Common U.S. formula: 2 × Na + glucose ÷ 18 + BUN ÷ 2.8. The result is reported in mOsm/kg.
Na⁺
Sodium
Glu
Glucose
BUN
Urea Nitrogen

For educational calculation support only. This tool does not diagnose dehydration, HHS, kidney disease, toxic alcohol exposure, or another emergency. Use values from the same blood draw and compare results with the reporting laboratory and clinical assessment.

Total, effective, and gap

Enter Laboratory Values

Calculated locally
Unit system
Required values from one blood sample
Add optional ethanol or measured osmolality

Ethanol is added with the Purssell divisor of 3.7 in U.S. units. Measured osmolality is needed to calculate an osmolal gap.

Enter sodium in mmol/L and glucose, BUN, and ethanol in mg/dL.

Try an example:

What Is Serum Osmolality?

Serum osmolality describes the concentration of dissolved particles in the water portion of blood. Sodium and its accompanying ions are the largest contributors. Glucose and urea also add measurable particles. The value helps describe water balance, but it does not identify a diagnosis by itself.

A laboratory can measure osmolality directly with an osmometer. A formula estimates it from common chemistry results. Many U.S. laboratories use a reference interval near 275–295 mOsm/kg, but the analyzer and local interval matter more than a generic online range.

Osmolality vs osmolarity: osmolality is particles per kilogram of water; osmolarity is particles per liter of solution. Clinical calculators often use the words loosely, but a measured serum result is usually reported as osmolality in mOsm/kg.

Formula to Calculate Serum Osmolality

The calculator uses a common three-solute equation. It also shows effective osmolality separately so the difference is visible.

U.S. laboratory unitsCalculated osmolality = 2 × Na + glucose ÷ 18 + BUN ÷ 2.8Na mmol/L · glucose and BUN mg/dL
SI laboratory unitsCalculated osmolality = 2 × Na + glucose + ureaAll inputs in mmol/L

The formulas are equivalent after unit conversion. BUN means blood urea nitrogen; an SI report may list the whole urea molecule instead. The calculator changes both the label and the equation when you switch units.

How to Calculate Serum Osmolality

  1. 1

    Use one collection time

    Copy sodium, glucose, and BUN or urea from the same serum sample. Do not mix values collected hours apart.

  2. 2

    Select the unit system

    Choose U.S. units for glucose and BUN in mg/dL, or SI units for glucose and urea in mmol/L.

  3. 3

    Enter the required values

    The standard calculation uses measured sodium—not glucose-corrected sodium—plus glucose and BUN or urea.

  4. 4

    Add optional values only when available

    Enter ethanol if it was measured. Enter laboratory osmolality if you want an osmolal gap.

  5. 5

    Review the equation and limits

    Compare the estimate with the laboratory method, measured result, clinical setting, and current symptoms.

Serum Osmolality Calculation Example

Example: Na 140 mmol/L, glucose 90 mg/dL, BUN 14 mg/dL
  1. 1

    Sodium contribution: 2 × 140 = 280

  2. 2

    Glucose contribution: 90 ÷ 18 = 5

  3. 3

    BUN contribution: 14 ÷ 2.8 = 5

  4. 4

    Calculated total osmolality: 280 + 5 + 5 = 290 mOsm/kg

  5. 5

    Effective osmolality: 280 + 5 = 285 mOsm/kg

The calculated and effective values differ because the effective formula leaves out urea. A laboratory measurement may also differ from either estimate because serum contains particles that the basic equation does not include.

Effective Osmolality vs Total Osmolality

Calculated total

Includes BUN

Estimates the particles measured by an osmometer from sodium, glucose, and urea nitrogen.

2Na + glucose/18 + BUN/2.8
Effective osmolality

Excludes BUN

Also called tonicity. Urea is left out because it crosses many cell membranes relatively freely and is not a sustained effective osmole.

2Na + glucose/18

The distinction matters in severe hyperglycemia. However, an online effective-osmolality result cannot diagnose hyperosmolar hyperglycemic state. Current consensus criteria use the clinical picture and several laboratory findings, not one calculated number.

Why the Serum Osmolality Formula Uses 2 × Sodium

Sodium in serum is accompanied by negatively charged particles, mainly chloride and bicarbonate. The multiplier of two is a practical way to represent sodium plus its associated anions. It does not mean that the laboratory sodium value itself should be doubled on the report. The multiplication happens only inside the estimation formula.

Glucose and urea use divisors in the U.S. equation because their reports are given as mass concentrations in mg/dL. Dividing glucose by 18 converts it to an approximate molar contribution. Dividing BUN by 2.8 does the same for urea nitrogen. In SI units, glucose and urea are already reported in mmol/L, so those divisors disappear.

Why potassium is not an input: potassium contributes to serum particles, but its concentration is small compared with sodium. The most widely used bedside serum-osmolality equations omit it. This is different from an anion-gap equation, where potassium may be included or excluded by convention.

Why Calculated Osmolality Equations Can Give Different Results

There is no single formula that exactly reproduces every osmometer result in every laboratory population. The common equation on this page uses a sodium coefficient of 2. Another published equation from Dorwart and Chalmers uses 1.86 × sodium + glucose ÷ 18 + BUN ÷ 2.8 + 9. Other studies have evaluated slightly different coefficients and constants.

This calculator keeps the common 2 × sodium equation as its primary method because it is easy to recognize, works directly with routine laboratory values, and matches the main search intent. It does not silently switch between equations. If a hospital laboratory reports a calculated osmolality or osmolal-gap reference interval, use the equation and interval specified by that laboratory.

Formula choice matters most when calculating an osmolal gap. A difference of a few mOsm/kg may come from the equation, analyzer, rounding, or ordinary unmeasured solutes rather than a new disease process. This is why one universal gap cutoff should not be treated as a diagnosis.

Measured Osmolality and the Osmolal Gap

Osmolal gap = measured serum osmolality − calculated serum osmolality

The gap estimates particles present in the measured sample but not represented well by the selected equation. A result near −10 to +10 mOsm/kg is often treated as a common working band. A value above 15 is a large positive gap in some laboratory guidance, but the cutoff depends on the equation, osmometer, timing, and local reference data.

An elevated gap can occur with toxic alcohols and several other solutes or clinical states. It is not specific. A normal gap also cannot safely exclude toxic alcohol exposure, especially when presentation is delayed. If acid-base status is relevant, the Anion Gap Calculator answers a related but separate question.

Suspected poisoning is an emergency. Do not wait for an online osmolal gap. In the United States, call 911 for severe symptoms and contact Poison Control at 1-800-222-1222. Elsewhere, use your local emergency and poison service.

How Ethanol Changes the Calculation

Ethanol can raise measured serum osmolality. When you enter an ethanol level, this calculator adds ethanol in mg/dL ÷ 3.7 to the calculated total. In SI units, the same contribution is approximately 1.25 × ethanol in mmol/L. This uses the experimentally derived Purssell coefficient rather than the older divisor of 4.6.

If a measured osmolality is also entered, the tool subtracts the ethanol-adjusted calculation when finding the gap. It labels every step so the selected formula is not hidden. Ethanol itself does not explain every gap, and the timing of sampling matters.

Use Measured Sodium, Not Corrected Sodium

The standard serum-osmolality formula uses the measured sodium from the same sample. Replacing it with a glucose-corrected sodium can count part of hyperglycemia twice because glucose already appears as its own term. If you need the separate hyperglycemia adjustment, use the Corrected Sodium Calculator and keep the two calculations distinct.

Kidney function can also change BUN and the difference between total and effective osmolality. The GFR Calculator estimates filtration from different inputs; it does not replace the osmolality calculation.

How to Read a Low or High Calculated Result

Below the laboratory interval

Lower calculated osmolality

Can occur when sodium is low or when the entered values or units are incorrect. The estimate cannot identify the type, duration, or cause of a sodium disorder.

Check units, sample time, and measured result
Above the laboratory interval

Higher calculated osmolality

Can reflect higher sodium, glucose, or BUN. Dehydration, hyperglycemia, and kidney-related changes are possible contexts, but the formula does not establish the cause.

Interpret symptoms and laboratory trends

Use the reference interval printed beside the measured laboratory result. A calculated value near a cutoff should not be labeled normal or abnormal without considering analytical variation and rounding. Fast changes in sodium, glucose, water balance, or treatment can also make an older result misleading.

Important Limits and Common Errors

  • Mixing units: mg/dL and mmol/L are not interchangeable for glucose, BUN, urea, or ethanol.
  • Mixing collection times: sodium, glucose, urea, ethanol, and measured osmolality can change during illness or treatment.
  • Using BUN as urea: U.S. BUN in mg/dL is divided by 2.8; SI urea in mmol/L is entered directly.
  • Calling an estimate measured: calculated osmolality comes from an equation; measured osmolality comes from an osmometer.
  • Ignoring the selected formula: different published equations can shift the calculated gap by several points.
  • Overreading the reference band: a result inside a common interval does not rule out serious illness.
  • Using the gap as a toxicology screen: sensitivity changes with timing, substance, equation, and cutoff.

When an Online Calculation Is Not Enough

Serum osmolality belongs beside symptoms, vital signs, hydration status, medications, kidney function, glucose, electrolytes, ketones, acid-base measurements, and the laboratory method. In severe hyperglycemia, the ABG Calculator may help check arithmetic, but it cannot guide emergency treatment.

Get urgent medical help for confusion, fainting, seizures, coma, severe weakness, repeated vomiting, very high glucose with worsening illness, or possible ingestion of methanol, ethylene glycol, or another toxic substance. Call 911 in the United States or your local emergency number.

Serum Osmolality Calculator FAQs

How do you calculate serum osmolality?

A common U.S. equation is 2 × sodium + glucose ÷ 18 + BUN ÷ 2.8. Sodium is in mmol/L; glucose and BUN are in mg/dL. In SI units, use 2 × sodium + glucose + urea, with all values in mmol/L.

What is the difference between total and effective serum osmolality?

Total calculated osmolality includes sodium, glucose, and BUN. Effective osmolality, or tonicity, leaves out BUN because urea crosses cell membranes relatively freely.

What is the difference between measured and calculated osmolality?

Measured osmolality is produced by a laboratory osmometer. Calculated osmolality is an estimate from common solutes. Subtracting calculated from measured osmolality gives the osmolal gap.

Should corrected or measured sodium be used to calculate serum osmolality?

Use measured sodium from the same blood sample as glucose and BUN or urea. Using glucose-corrected sodium in the standard equation may count part of the hyperglycemia effect twice.

Can this calculator diagnose HHS or toxic alcohol poisoning?

No. Neither a calculated osmolality nor an osmolal gap can confirm or safely exclude these emergencies alone. Symptoms, timing, measured laboratory values, and clinical assessment are essential.

Evidence and Editorial Notes

The formulas, ethanol coefficient, gap cautions, and hyperglycemic-crisis limits were checked against original research, laboratory guidance, and current consensus literature.

  1. Rasouli M. Basic concepts and practical equations on osmolality. Clinical Biochemistry. 2016.
  2. Khajuria A, Krahn J. Osmolality revisited—deriving and validating the best formula for calculated osmolality. Clinical Biochemistry. 2005.
  3. Dorwart WV, Chalmers L. Comparison of methods for calculating serum osmolality from chemical concentrations. Clinical Chemistry. 1975.
  4. Purssell RA, et al. Derivation and validation of a formula to calculate the contribution of ethanol to the osmolal gap. Annals of Emergency Medicine. 2001.
  5. Lynd LD, et al. An evaluation of the osmole gap as a screening test for toxic alcohol poisoning. BMC Emergency Medicine. 2008.
  6. Umpierrez GE, et al. Hyperglycemic crises in adults with diabetes: a consensus report. Diabetologia. 2024.
  7. University of Iowa Health Care. Osmolality gap—calculation and interpretation. Laboratory Services Handbook.

Last formula and source review: August 4, 2026. Calculations run in your browser. Values entered in this form are not sent to our server.

Formula and source review

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Dr. Heart reviews the formulas, sources, intended uses, and limits presented across Heart Score Calculator. Each tool is checked against published references and explained in clear language. Dr. Heart is an editorial persona, not a substitute for a licensed clinician.

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