Final answer:
The major cause of hypoxemia in this patient is a ventilation/perfusion mismatch since the SpO₂ greatly improved with an increase in FiO₂ and the ETCO₂ remained stable, suggesting that increasing the oxygen could augment the deficient gas exchange.
Step-by-step explanation:
The major cause of hypoxemia in a patient whose SpO₂ increases upon raising the FiO₂ (fraction of inspired oxygen) from 30% to 50% and whose ETCO₂ (end-tidal carbon dioxide) remains stable is most likely due to a ventilation/perfusion mismatch. This is evident because if hypoventilation was the cause, the ETCO₂ would be high. In the case of a shunt, increasing the oxygen would not have as pronounced an effect on improving SpO₂, and increased dead space would typically not show an improved SpO₂ solely with increased oxygen since there's no improvement in airflow to alveoli. Since the patient responded well to the increase in FiO₂, it indicates that there is still some perfusion and thus improving the partial pressure of oxygen in the blood can help increase oxygen saturation significantly.