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Winter's Formula
Free study guide for medical students and educators
~2 min readLast reviewed 2026-02-23
Also known as:respiratory compensationexpected pCO2
Winter's formula predicts the expected PCO₂ in a patient with metabolic acidosis if respiratory compensation is appropriate. It helps identify whether a patient has a simple metabolic acidosis (appropriate compensation) or a mixed acid-base disorder (concurrent respiratory disturbance).
- The ±2 represents the normal range of variation
- A quick rule: Expected PCO₂ ≈ last two digits of pH (e.g., pH 7.25 → PCO₂ ~25)
- Only applies to metabolic acidosis - different formulas for alkalosis
- In severe acidosis (HCO₃ <8), maximum respiratory compensation may be reached (~10-12 mmHg)
- Remember: Compensation never overcorrects - if pH is normal with abnormal HCO₃ and PCO₂, it's a mixed disorder
- Evaluate respiratory compensation in metabolic acidosis
- Detect mixed acid-base disorders: If actual PCO₂ differs from expected
- Critical care: Essential for ABG interpretation
- DKA, sepsis, toxicology: Common scenarios requiring this calculation
⚡At a Glance
Formula(1.5 * bicarbonate) + 8
UnitmmHg
Key pearlThe ±2 represents the normal range of variation