The partial pressures (in mm Hg) of oxygen (O2) and carbon dioxide (CO2) at alveoli (the site of diffusion) are:
Correct Answer :
pO2 = 104 and pCO2 = 40
Solution :
To determine the typical alveolar partial pressures of oxygen and carbon dioxide we apply the alveolar gas equation for O₂ and use the fact that alveolar CO₂ pressure equals the arterial CO₂ pressure.
1. Constants at sea level
– Atmospheric pressure (Pₐₜₘ) ≈ 760 mm Hg
– Water‑vapour pressure in the airway (Pₕ₂ₒ) ≈ 47 mm Hg
– Fraction of inspired O₂ (FᵢO���) = 0.21 (21 %)
– Respiratory quotient (R) ≈ 0.8
– Arterial (and thus alveolar) pCO₂ ≈ 40 mm Hg
2. Alveolar gas equation for O₂
Insert the known values:
Step‑by‑step calculation:
In clinical textbooks the normal alveolar pO₂ is often rounded to about **104 mm Hg** to account for physiological variations.
3. Alveolar pCO₂
Alveolar CO₂ quickly equilibrates with arterial CO₂, so the alveolar pCO₂ is essentially the measured arterial value, ≈ **40 mm Hg**.
Combining the two results gives the typical alveolar gas pressures:
pO₂ ≈ 104 mm Hg and pCO₂ ≈ 40 mm Hg.
Thus the correct option is “pO₂ = 104 and pCO₂ = 40”.
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