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### College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

# What is the pressure inside an alveolus having a radius of $2.50×{10}^{-4}m$ if the surface tension of the fluid-lined wall is the same as for soapy water? You may assume the pressure is the same as that created by a spherical bubble.

The pressure exerted in the bubble is obtained as: $592Pa$.

See the step by step solution

## Step 1: Conceptual Introduction

Fluid statics, often known as hydrostatics, is a branch of fluid mechanics that investigates the state of balance of a floating and submerged body, as well as the pressure in a fluid, or imposed by a fluid, on an immersed body.

## Step 2: Given data

The tensions between molecules that cause a liquid's surface to compress to the lowest feasible surface area.

The radius r of the bubble is: $2.50×{10}^{-4}m$.

The surface tension is given is: $0.03N/m$.

## Step 3: Force per unit area acting on the soap bubble

The surface tension is:

$p=\frac{4\sigma }{r}\phantom{\rule{0ex}{0ex}}=\frac{4\left(0.03N/m\right)}{2.5×{10}^{-4}m}\phantom{\rule{0ex}{0ex}}=592Pa\phantom{\rule{0ex}{0ex}}$

The pressure exerted in the bubble is $592Pa\phantom{\rule{0ex}{0ex}}$.