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Biochemistry · Acid-base: compensation in metabolic acidosis
Sample itemA 20-year-old with diabetic ketoacidosis has been vomiting and is becoming drowsy. Arterial blood gas shows pH 7.10, bicarbonate 12 mmol/L and PaCO2 40 mmHg. Using Winter's formula, how should this be interpreted?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
B. Superimposed respiratory acidosis, since expected PaCO2 is about 26 (24 to 28) mmHg
Winter's formula gives expected PaCO2 = 1.5 x HCO3 + 8 (plus or minus 2) = 1.5 x 12 + 8 = 26, so the range is 24 to 28 mmHg. A measured PaCO2 of 40 is far above this, meaning the respiratory system is failing to compensate and a respiratory acidosis is superimposed. This signals fatigue or depressed drive and is an indication for urgent airway and ventilatory assessment.
Option by option
A. Appropriate respiratory compensation for metabolic acidosis
Appropriate compensation would give a PaCO2 close to 26 mmHg.
B. Superimposed respiratory acidosis, since expected PaCO2 is about 26 (24 to 28) mmHg (correct)
Correct. Measured PaCO2 of 40 exceeds the expected 24 to 28, so ventilation is inadequate.
C. Superimposed metabolic alkalosis, since expected PaCO2 is about 52 mmHg
The expected value is 26, not 52, and a PaCO2 above it does not indicate metabolic alkalosis.
D. Superimposed respiratory alkalosis, since expected PaCO2 is about 40 mmHg
Respiratory alkalosis would produce a PaCO2 below the expected range, not above it.
Source note: Original NextPrep sample item — pending expert review. This item is original practice material awaiting independent expert review, so confirm important facts in a standard textbook.
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