# Alveolar gas equation

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### USMLE® Step 1 style questions USMLE

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A researcher is studying lung ventilation and uses the alveolar gas equation to better understand if a patient’s lungs are properly transferring oxygen into the blood. Which of the following respiratory parameters does this equation attempt to measure?

### External References

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#### Hypoxemia

alveolar gas equation p. 684

### Transcript

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#### Contributors

The main job of the lungs is gas exchange, pulling oxygen into the body and getting rid of carbon dioxide.

Normally, during an inhale - the diaphragm and chest muscles contract to pull open the chest and that sucks in air like a vacuum cleaner, and then during an exhale - the muscles relax, allowing the lungs to spring back to their normal size pushing that air out.

When we breathe in, oxygen-filled air from the environment enters through the nostrils, goes through the airways, and finally reaches the alveoli, the tiny air-filled sacs in the lungs where oxygen finally moves into the blood.

The amount of oxygen in the alveolus equals whatever enters from the airways minus whatever moves into the blood, and that relationship is the alveolar gas equation.

The total pressure of the air in the alveoli is equal to the atmospheric pressure outside, Patm.

But unlike atmospheric air, the air inside the alveoli gets saturated with water vapor after travelling through the moist airways.

The partial pressure of water vapor is Pvapor.

So in the alveoli, the total pressure, which is equal to the atmospheric pressure, is equal to the pressure of water vapor plus the pressure of the mixture of gases.

So, rearranging, the total alveolar pressure exerted from all of the gases except water vapor is equal to (Patm- Pvapor).

Now, let's take this mixture of gas particles, red being oxygen and blue being CO2, the partial pressure of one of the gases is proportional to the fractional concentration of the gas in that mixture, which is a fancy way of saying the fraction of that gas molecule to all the gas molecules, so in this case CO2 would have a fractional concentration of 0.3, since it accounts for 30% of the gas molecules, and O2 would be .7, since it accounts for the remaining 70%.

### Summary

Alveolar gas equations are a set of mathematical equations used to calculate the alveolar oxygen partial pressure. It is used extensively in medicine and physiology and is considered to be one of the most important tools in understanding how the alveolar gas exchange works.

PAO2 = (Patm - PH2O) FiO2 - PaCO2/RQ

PAO2: oxygen partial pressure inside the alveoli; Patm: atmospheric pressure (at sea level 760 mm Hg); PH2O: partial pressure of water (approximately 45 mm Hg); FiO2: fraction of inspired oxygen; PaCO2: partial pressure of carbon dioxide in alveoli (in normal physiological conditions around 40 to 45 mmHg). RQ is the respiratory quotient (average value is around 0.82)

### Sources

1. "Medical Physiology" Elsevier (2016)
2. "Physiology" Elsevier (2017)
3. "Human Anatomy & Physiology" Pearson (2018)
4. "Principles of Anatomy and Physiology" Wiley (2014)
5. "Breath-by-breath measurement of true alveolar gas exchange" Journal of Applied Physiology (1981)
6. "Oncepts and basic quantities in gas exchange physiology" Respiration Physiology (1971)

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