Alveolar Gas Equation Calculator

Find alveolar oxygen pressure and the A–a gradient.

How to use

  1. Enter your values in the fields above.
  2. Press Calculate to see your result instantly.
  3. Use the Share button to copy a link to your result.

About this calculator

The alveolar gas equation — PAO2 = FiO2 × (Patm − PH2O) − (PaCO2 / R) — calculates the partial pressure of oxygen inside the alveoli. Combined with a measured arterial PaO2, it produces the A–a gradient, a key diagnostic value in pulmonology and critical care for assessing how well oxygen is diffusing from the lungs into the blood.

Physicians, respiratory therapists and medical students use it to distinguish the causes of low blood oxygen: the A–a gradient stays normal when hypoxemia is caused by simple hypoventilation, but rises when the real problem is a ventilation-perfusion mismatch, a shunt, or a diffusion defect.

This calculator takes FiO2, PaCO2, measured PaO2 and atmospheric pressure (or altitude), and returns the calculated PAO2 and the resulting A–a gradient.

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