U01.21.037 Alveolar Gas Equation (PAO₂)

Learning Objective:
Understand and apply the Alveolar Gas Equation to calculate the alveolar oxygen tension (PAO₂), which helps assess gas exchange efficiency.


Formula:

P_{AO_2} = P_{IO_2} - \frac{P_{aCO_2}}{RQ}


Explanation:

  • P_{AO_2} = Alveolar oxygen partial pressure (mm Hg)
  • P_{IO_2} = Inspired oxygen partial pressure (≈ 150 mm Hg at sea level on room air)
  • P_{aCO_2} = Arterial CO₂ partial pressure (mm Hg)
  • RQ = Respiratory quotient (CO₂ produced / O₂ consumed; usually 0.8)

The equation calculates expected alveolar O₂, accounting for CO₂ levels and metabolism.


Concept Summary:

  • Normal PAO₂ ≈ 100 mm Hg on room air
  • Helps evaluate A–a gradient:
    • A–a gradient = PAO₂ – PaO₂
    • ↑ indicates impaired gas exchange (V/Q mismatch, diffusion defect, shunt)

Example:

Given:
P_{IO_2} = 150 \text{ mm Hg}
P_{aCO_2} = 40 \text{ mm Hg}
RQ = 0.8

P_{AO_2} = 150 - \frac{40}{0.8} = 150 - 50 = 100 \text{ mm Hg}

Answer: PAO₂ = 100 mm Hg


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