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Zorluk: OrtaNephrology

A 19-year-old college student is brought to the emergency department by his roommates. They report that he ingested a large amount of a sweet-tasting, brightly colored liquid he found in a garage, believing it was a sports drink. On presentation, he is disoriented and slurring his words. His blood pressure is 120/75 mm Hg and his pulse is 100/min.

Laboratory studies:
- Serum sodium: 142 mEq/L
- Serum chloride: 105 mEq/L
- Serum bicarbonate: 14 mEq/L
- Blood urea nitrogen: 14 mg/dL
- Blood glucose: 90 mg/dL
- Measured serum osmolality: 345 mOsm/kg H2OH_2O

What is this patient's serum osmolar gap in mOsm/kg H2OH_2O?

Cevap: 51 mOsm/kg H2O

Cevap

51
The osmolar gap is used to detect the presence of unmeasured, osmotically active substances in the blood, such as toxic alcohols (e.g., ethylene glycol, methanol). It is determined by subtracting the calculated serum osmolality from the measured serum osmolality. The formula for calculated osmolality is (2×Na)+Glucose18+BUN2.8(2 \times Na) + \frac{Glucose}{18} + \frac{BUN}{2.8}. For this patient, the calculated osmolality is (2×142)+9018+142.8=284+5+5=294(2 \times 142) + \frac{90}{18} + \frac{14}{2.8} = 284 + 5 + 5 = 294 mOsm/kg H2OH_2O. Subtracting this from the measured osmolality of 345 mOsm/kg H2OH_2O yields an osmolar gap of 51 mOsm/kg H2OH_2O. A normal gap is typically less than 10; an elevated gap in this context strongly suggests ethylene glycol toxicity.

Adım Adım Çözüm

1
Recall the formula for calculated serum osmolality
CalculatedOsm=(2×Na)+Glucose18+BUN2.8Calculated Osm = (2 \times Na) + \frac{Glucose}{18} + \frac{BUN}{2.8}
This formula estimates the osmotically active particles normally present in the blood, primarily sodium salts, glucose, and urea.
2
Calculate the estimated serum osmolality
CalculatedOsm=(2×142)+9018+142.8=284+5+5=294Calculated Osm = (2 \times 142) + \frac{90}{18} + \frac{14}{2.8} = 284 + 5 + 5 = 294 mOsm/kg H2OH_2O
Accurately applying the patient's lab values yields the expected osmolality without the presence of toxic alcohols.
3
Calculate the osmolar gap
OsmolarGap=MeasuredOsm−CalculatedOsm=345−294=51Osmolar Gap = Measured Osm - Calculated Osm = 345 - 294 = 51 mOsm/kg H2OH_2O
The difference between the measured and calculated osmolality represents the concentration of unmeasured osmoles, which in this case points to ethylene glycol ingestion.

Anahtar Kavram

Serum Osmolar Gap Calculation

Alternatif Yöntem

In systems using SI units (mmol/L) rather than traditional US units, the formula for calculated osmolality does not require division by 18 or 2.8 and is instead: 2×Na+Glucose+Urea2 \times Na + Glucose + Urea.
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