Question

Difficulty: EasyNephrology

A 38-year-old mechanic is evaluated in the hospital after being found confused and lethargic in his workshop. He has a history of alcohol use disorder. Vital signs show a temperature of 37.1°C (98.8°F), blood pressure of 135/85 mmHg, pulse of 92/min, and respiratory rate of 22/min. Physical examination reveals a disoriented patient with dry mucous membranes.

Initial laboratory evaluation reveals the following:

ParameterValue
Sodium140 mEq/L
Potassium4.1 mEq/L
Chloride98 mEq/L
Bicarbonate14 mEq/L
Blood urea nitrogen20 mg/dL
Serum creatinine1.5 mg/dL
Glucose105 mg/dL

Based on the provided laboratory results, what is this patient's serum anion gap?

Answer: 28 mEq/L

Answer

28
The serum anion gap is calculated by subtracting the primary measured serum anions (chloride and bicarbonate) from the primary measured serum cation (sodium). Using the formula Anion Gap = Na+−(Cl−+HCO3−)Na^+ - (Cl^- + HCO_3^-), the calculation for this patient is 140−(98+14)=140−112=28140 - (98 + 14) = 140 - 112 = 28 mEq/L. A normal anion gap is typically between 8 and 12 mEq/L. This patient has a significantly elevated high anion gap metabolic acidosis (HAGMA), which is consistent with toxic alcohol ingestion (such as methanol or ethylene glycol), given his presentation and history.

Step-by-Step Solution

1
Identify the formula for the serum anion gap.
Anion Gap = Na+−(Cl−+HCO3−)Na^+ - (Cl^- + HCO_3^-)
The standard serum anion gap is calculated using the primary measured serum cation and the primary measured serum anions.
2
Extract the required laboratory values from the clinical vignette.
Na+Na^+ = 140 mEq/L, Cl−Cl^- = 98 mEq/L, and HCO3−HCO_3^- = 14 mEq/L.
These specific values are required to populate the formula.
3
Calculate the sum of the measured anions.
98+14=11298 + 14 = 112 mEq/L
This determines the total measured negative charge to be subtracted from sodium.
4
Subtract the sum of the anions from the serum sodium concentration.
140−112=28140 - 112 = 28 mEq/L
This yields the final unmeasured anion gap.

Key Concept

Calculation of the serum anion gap to evaluate metabolic acidosis.
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