Chapter 2, Problem 18RQ

### Cardiopulmonary Anatomy & Physiolo...

7th Edition
Des Jardins + 1 other
ISBN: 9781337794909

Chapter
Section

### Cardiopulmonary Anatomy & Physiolo...

7th Edition
Des Jardins + 1 other
ISBN: 9781337794909
Textbook Problem

# If the radius of a bronchial airway, which has a driving pressure of 2 mm Hg, is reduced by 16 percent of its original size, what will be the new driving pressure required to maintain the same gas flow through the bronchial airway?A. 4 mm HgB. 8 mm HgC. 12 mm HgD. 16 mm Hg

Summary Introduction

Introduction:

The dynamic property of lungs is the movement of air to and from them. It includes the changes in the pressure required for the movement of gas. Poiseuille’s law for pressure and flow, and the airway resistance equations are used for explaining the dynamic features of lungs. Poiseuille’s law can be used to describe the relationship between pressure, bronchial gas flow, and the diameter of airway.

Explanation

Option (a) is given as 4 mm Hg. When the equation for Poiseuille’s law is rearranged for pressure, it states that pressure is directly proportional to the volume, length, and viscosity, and inversely proportional to the fourth power of the radius.

P=V8lηr4π, where V is volume, l is length, η is viscosity, and r is radius.

This can be used to conclude that with a decrease in the radius, the pressure increases. When the radius is decreased by 16%, the pressure increases 2 times, that is, 4 mm Hg

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