Answer
**Minute Respiratory Volume:**
The minute respiratory volume (MRV) is the total volume of air inhaled and exhaled by a person in one minute. It is calculated by multiplying the tidal volume (TV) by the respiratory rate (RR):
MRV = Tidal Volume (TV) × Respiratory Rate (RR)
Given:
- Tidal Volume (TV) = 650 mL
- Respiratory Rate (RR) = 11 breaths per minute
MRV = 650 mL × 11 breaths/minute = 7,150 mL/minute
To convert mL to liters, divide by 1000:
MRV = 7,150 mL/minute ÷ 1000 = 7.15 liters/minute
**Alveolar Ventilation Rate:**
Alveolar ventilation rate (AVR) refers to the volume of fresh air that reaches the alveoli per minute. It takes into account the anatomical dead space, which is the volume of air that occupies the non-respiratory conducting airways and doesn't participate in gas exchange. The formula for AVR is:
AVR = (Tidal Volume - Anatomical Dead Space) × Respiratory Rate
Given:
- Tidal Volume (TV) = 650 mL
- Anatomical Dead Space = 185 mL
- Respiratory Rate (RR) = 11 breaths per minute
AVR = (650 mL - 185 mL) × 11 breaths/minute
First, calculate the effective tidal volume (TV - anatomical dead space):
Effective Tidal Volume = 650 mL - 185 mL = 465 mL
Now, calculate AVR:
AVR = 465 mL × 11 breaths/minute
To convert mL to liters, divide by 1000:
AVR = (465 mL × 11 breaths/minute) ÷ 1000 = 5.115 liters/minute
So, the man's alveolar ventilation rate is approximately 5.115 liters per minute. This value represents the amount of fresh air that effectively reaches the alveoli for gas exchange every minute, accounting for the anatomical dead space.
Work Step by Step
**Minute Respiratory Volume:**
The minute respiratory volume (MRV) is the total volume of air inhaled and exhaled by a person in one minute. It is calculated by multiplying the tidal volume (TV) by the respiratory rate (RR):
MRV = Tidal Volume (TV) × Respiratory Rate (RR)
Given:
- Tidal Volume (TV) = 650 mL
- Respiratory Rate (RR) = 11 breaths per minute
MRV = 650 mL × 11 breaths/minute = 7,150 mL/minute
To convert mL to liters, divide by 1000:
MRV = 7,150 mL/minute ÷ 1000 = 7.15 liters/minute
**Alveolar Ventilation Rate:**
Alveolar ventilation rate (AVR) refers to the volume of fresh air that reaches the alveoli per minute. It takes into account the anatomical dead space, which is the volume of air that occupies the non-respiratory conducting airways and doesn't participate in gas exchange. The formula for AVR is:
AVR = (Tidal Volume - Anatomical Dead Space) × Respiratory Rate
Given:
- Tidal Volume (TV) = 650 mL
- Anatomical Dead Space = 185 mL
- Respiratory Rate (RR) = 11 breaths per minute
AVR = (650 mL - 185 mL) × 11 breaths/minute
First, calculate the effective tidal volume (TV - anatomical dead space):
Effective Tidal Volume = 650 mL - 185 mL = 465 mL
Now, calculate AVR:
AVR = 465 mL × 11 breaths/minute
To convert mL to liters, divide by 1000:
AVR = (465 mL × 11 breaths/minute) ÷ 1000 = 5.115 liters/minute
So, the man's alveolar ventilation rate is approximately 5.115 liters per minute. This value represents the amount of fresh air that effectively reaches the alveoli for gas exchange every minute, accounting for the anatomical dead space.
