Winter's Formula Calculator

Winter's formula calculates how much respiratory compensation(change in PaCO₂) is expected for a metabolic acidosis, helping determine whether breathing is compensating appropriately or a separate respiratory problem is also present.

Winter's Formula

mEq/L
Serum bicarbonate in a metabolic acidosis.
Enter a value between 2 and 40.
mmHg
From the ABG, to compare against expected.
Enter a value between 5 and 120.
Expected PaCO₂
29
mmHg expected
Appropriate respiratory compensation
Expected range
27–31
Measured
29

How It's Calculated

Formula
Expected PaCO₂ = (1.5 × HCO₃⁻) + 8 ± 2

Frequently Asked Questions

Why does this matter for a respiratory patient?

It's one of the clearest teaching examples of how the lungs and kidneys work together to control blood pH, and it's essential for correctly interpreting an ABG in a patient with a metabolic acid-base problem.

How do I interpret the result?

If the measured PaCO₂ falls within the expected range, respiratory compensation is appropriate. A higher PaCO₂ means a concurrent respiratory acidosis; a lower one means a concurrent respiratory alkalosis.

What is the formula?

Expected PaCO₂ = (1.5 × HCO₃⁻) + 8, plus or minus 2 mmHg.

Does it apply to metabolic alkalosis?

No — Winter's formula is specific to metabolic acidosis. Metabolic alkalosis uses a different expected-compensation relationship.

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