CalculusBased Physics Show why the answer is 20L In humans o

Calculus-Based Physics:

Show why the answer is 2.0L.

In humans, oxygen and carbon dioxide are exchanged in the blood within many small sacs called alveoli in the lungs. Alveoli provide a large surface area for gas exchange. Recent careful measurements show that the total number of alveoli in a typical pair of lungs is about 480 times 10^6 and that the average volume of a single alveolus is 4.2 times 10^6 mu m^3. (The volume of a sphere is V = 4/3 pi r^3, and the area of a sphere is A = 4pi r^2.) What is total volume of the gas-exchanging region of the lungs? 2000 mu m^3 2m^3 2.0 L 120 L

Solution

Total volume = total number * volume of single

Total volume = 480* 10(6) * 4.2 * 10(6)* 10(-18) m3 = 2.016 * 10(-3) m3 = 2.016 L

1 m3=1000L