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Q54PE

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College Physics (Urone)
Found in: Page 398

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Short Answer

What is the pressure inside an alveolus having a radius of 2.50×10-4m 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 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: 2.50×10-4m.

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=4σr=4(0.03N/m)2.5×10-4m=592Pa

The pressure exerted in the bubble is 592Pa.

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