Question

Difficulty: MediumNephrology

A 45-year-old male is evaluated in the emergency department for altered mental status. His spouse found him acting confused and stumbling in their basement next to several open containers of antifreeze. Vital signs are temperature 36.7∘C36.7^\circ C (98.1∘F98.1^\circ F), blood pressure 115/78115/78 mm Hg, pulse 9595/min, and respirations 2626/min. He appears intoxicated but has no scent of alcohol on his breath. Laboratory results are as follows:

TestResult
Sodium138138 mEq/L
Potassium4.54.5 mEq/L
Chloride9898 mEq/L
Bicarbonate1212 mEq/L
Blood urea nitrogen1414 mg/dL
Creatinine1.51.5 mg/dL
Glucose108108 mg/dL
Measured serum osmolality318318 mOsm/kg H2OH_2O
Blood ethanol levelUndetectable

Based on these findings, what is the patient's serum osmolar gap?

Answer: 31 mOsm/kg H2O

Answer

31
The patient has a toxic alcohol ingestion (likely ethylene glycol from antifreeze), presenting with a high anion gap metabolic acidosis and an elevated osmolar gap. The osmolar gap is calculated as the difference between the measured serum osmolality and the calculated serum osmolality. With a calculated osmolality of 287 mOsm/kg H2O and a measured osmolality of 318 mOsm/kg H2O, the resulting gap is 31.

Step-by-Step Solution

1
Identify the values needed for the calculated osmolality formula.
Na = 138, BUN = 14, Glucose = 108.
These are the primary osmotically active solutes in the serum.
2
Calculate the expected serum osmolality.
Calculated Osmolality = (2 * 138) + (108 / 18) + (14 / 2.8) = 276 + 6 + 5 = 287 mOsm/kg H2O.
The standard formula accounts for sodium and its accompanying anions, plus urea and glucose.
3
Calculate the osmolar gap.
Osmolar Gap = 318 - 287 = 31.
The gap is the measured osmolality minus the calculated osmolality.

Key Concept

Calculation of the serum osmolar gap to identify the presence of unmeasured osmotically active substances, such as toxic alcohols.
Rate this question