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Chapter 1: 92PP (page 32)

CALCULATING LUNGS VALUE IN HUMANS.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脳106and that the average volume of a single alveolus is 4.2脳106渭尘3. (The volume of a sphere is V=43蟺谤3and the area of a sphere is A=4蟺谤2).

1.92:What is total volume of the gas-exchanging region of the lungs? (a) 2000渭尘3; (b) 2m3; (c) 2.0L; (d) 120.0L.

Short Answer

Expert verified

The answer is 2.0L. So option (c) is the correct option.

Step by step solution

01

Given data

Total numbers of alveoli,N=480脳106

The average volume of alveoli. Valveoli=4.2脳106渭尘3

02

Introduction

Gas exchanging region of the lungs is called alveoli. The product of the total number of alveoli and the average volume of a single alveolus will give the total volume of the alveoli.

03

Step 3: Find the total volume of the gas-exchanging region of the lungs

Use the following formula to find the total volume of the gas-exchanging region,

VT=NValveoli

Substitute, 480脳106for N and 4.2脳106渭尘3for Valveoliin the above equation, and you have

VT=480脳106脳4.2脳106渭尘3=2016脳1012渭尘3=2.016脳1015渭尘3

Now, as known that,

1渭尘3=10-15L

Therefore, the total volume of all alveoli is,

VT=2.016脳1015渭尘3脳10-15L=2.016L鈮�2L

Hence, option (c) is correct.

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