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Health

Calculated serum osmolality calculator

Estimates blood osmolality from a basic metabolic panel, plus the osmolal gap.

What this calculator does

Calculated serum osmolality works out estimates blood osmolality from a basic metabolic panel, plus the osmolal gap. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaOsmolality (mOsm/kg) = 2 × Na + Glucose/18 + BUN/2.8 (+ Ethanol/3.7 if measured)

The inputs explained

FieldWhat to enter
Sodium (mEq/L)A number, measured in mEq/L. Starts at 140.
Glucose (mg/dL)A number, measured in mg/dL. Starts at 90.
Blood urea nitrogen (BUN) (mg/dL)A number, measured in mg/dL. Starts at 14.
Ethanol (0 if not measured) (mg/dL)A number, measured in mg/dL. Starts at 0.
Lab-measured osmolality (0 if unknown) (mOsm/kg)A number, measured in mOsm/kg. Starts at 0.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with sodium

Every other input is held at the calculator’s starting values while sodium varies. Select any row to load that scenario into the calculator.

How the answer changes with sodium
Sodium (mEq/L)Calculated osmolalityReference range
70150.0 mOsm/kg275 - 295 mOsm/kg
105220.0 mOsm/kg275 - 295 mOsm/kg
140290.0 mOsm/kg275 - 295 mOsm/kg
210430.0 mOsm/kg275 - 295 mOsm/kg
280570.0 mOsm/kg275 - 295 mOsm/kg
420850.0 mOsm/kg275 - 295 mOsm/kg