Question

Difficulty: MediumNephrology

Paramedics transport a 45-year-old male to the hospital after his wife discovered him confused and stumbling inside their garage. The patient reports severe bilateral flank pain and appears visibly intoxicated, though his wife states he has not consumed alcohol. Vital signs include a temperature of 37.1°C (98.8°F), blood pressure of 145/90 mm Hg, heart rate of 98/min, and respiratory rate of 22/min.

Laboratory evaluation reveals:
ParameterResult
Serum sodium142 mEq/L
Serum potassium4.8 mEq/L
Serum chloride102 mEq/L
Serum bicarbonate12 mEq/L
Blood urea nitrogen28 mg/dL
Serum creatinine1.5 mg/dL
Serum glucose108 mg/dL
Serum ethanolUndetectable
Measured serum osmolality335 mOsm/kg H₂O

Based on the provided laboratory data, determine this patient's serum osmolar gap in mOsm/kg H₂O.

Answer: 35 mOsm/kg H₂O

Answer

35
The patient's osmolar gap is 35 mOsm/kg H₂O. When combined with a significant metabolic acidosis (anion gap of 28 mEq/L) and flank pain, this elevated osmolar gap is highly characteristic of ethylene glycol toxicity, likely causing calcium oxalate crystal deposition in the kidneys.

Step-by-Step Solution

1
Recall the formula for calculating serum osmolality in conventional units.
Calculated osmolality = 2×[Na+]+BUN2.8+Glucose182 \times [Na^+] + \frac{BUN}{2.8} + \frac{Glucose}{18}
This formula estimates the baseline contribution of the major extracellular osmoles to the total serum osmolality.
2
Substitute the provided laboratory values into the formula.
2×142+282.8+10818=284+10+6=3002 \times 142 + \frac{28}{2.8} + \frac{108}{18} = 284 + 10 + 6 = 300 mOsm/kg H₂O
This establishes the patient's expected serum osmolality before considering the presence of unmeasured exogenous toxic osmoles.
3
Calculate the serum osmolar gap by finding the difference between measured and calculated osmolality.
335−300=35335 - 300 = 35 mOsm/kg H₂O
An elevated osmolar gap (>10 mOsm/kg H₂O) in the context of an unexplained high anion gap metabolic acidosis strongly suggests toxic alcohol ingestion.

Key Concept

Calculation and interpretation of the serum osmolar gap to evaluate for toxic alcohol ingestion.
Estimated Time:1m 0s
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