3) If alveolar ventilation is 4200 mL/min, respiratory frequency is 12 breaths per minute,and tidal volume is 500 mL, what is the anatomical-dead-space ventilation?a) 1800 mL/minb) 6000 mL/minc) 350 mL/mind) 1200 mL/mine) It cannot be determined from the data provided.
Question
- If alveolar ventilation is 4200 mL/min, respiratory frequency is 12 breaths per minute,and tidal volume is 500 mL, what is the anatomical-dead-space ventilation?a) 1800 mL/minb) 6000 mL/minc) 350 mL/mind) 1200 mL/mine) It cannot be determined from the data provided.
Solution
To solve this problem, we first need to understand what anatomical dead space ventilation is. It is the portion of each tidal volume that does not take part in gas exchange because it does not reach functional alveoli.
The formula to calculate anatomical dead space ventilation is: Anatomical Dead Space Ventilation = (Tidal Volume - Alveolar Ventilation) * Respiratory Frequency
Given: Alveolar Ventilation = 4200 mL/min Respiratory Frequency = 12 breaths/min Tidal Volume = 500 mL
We need to find the volume of air that does not participate in gas exchange per minute, which is the anatomical dead space ventilation.
First, we need to find the volume of air that participates in gas exchange per breath, which is the difference between the tidal volume and the alveolar ventilation per breath.
Alveolar Ventilation per breath = Alveolar Ventilation / Respiratory Frequency = 4200 mL/min / 12 breaths/min = 350 mL/breath
So, the volume of air that does not participate in gas exchange per breath is: Tidal Volume - Alveolar Ventilation per breath = 500 mL - 350 mL = 150 mL/breath
Then, we multiply this by the respiratory frequency to find the anatomical dead space ventilation: Anatomical Dead Space Ventilation = 150 mL/breath * 12 breaths/min = 1800 mL/min
So, the answer is a) 1800 mL/min.
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