An airplane passenger has 100 cm^3 of air in his stomach just before the plane takes off from a

Name: Problem 29, Chapter 13: College Physics
Uploaded: 2019-12-20T06:38:28-08:00
Duration: 2 min 4 s
Channel: Sri Datta Vikas Buchemmavari
Description: An airplane passenger has 100 cm^3 of air in his stomach just before the plane takes off from a sea-level airport. What volume will the air have at cruising altitude if cabin pressure drops to 7.50 ×10^4 N / m^2 ?

step 1 So in this problem we have a hundred centimeter cube of air in a passenger stomach at standard p

Question

An airplane passenger has $100 \mathrm{cm}^{3}$ of air in his stomach just before the plane takes off from a sea-level airport. What volume will the air have at cruising altitude if cabin pressure drops to $7.50 \times 10^{4} \mathrm{N} / \mathrm{m}^{2} ?$

   An airplane passenger has $100 \mathrm{cm}^{3}$ of air in his stomach just before the plane takes off from a sea-level airport. What volume will the air have at cruising altitude if cabin pressure drops to $7.50 \times 10^{4} \mathrm{N} / \mathrm{m}^{2} ?$

College Physics

Paul Peter Urone,… 1st Edition

Chapter 13, Problem 29

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Solved by Expert Sri Datta Vikas Buchemmavari

12/20/2019

Step 1

We know the initial volume of air in the stomach is $ V_1 = 100 \, \text{cm}^3 $ and the initial pressure at sea level is $ P_1 = 1.01 \times 10^5 \, \text{N/m}^2 $. The final pressure at cruising altitude is $ P_2 = 7.50 \times 10^4 \, \text{N/m}^2 $. We Show more…

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An airplane passenger has $100 \mathrm{cm}^{3}$ of air in his stomach just before the plane takes off from a sea-level airport. What volume will the air have at cruising altitude if cabin pressure drops to $7.50 \times 10^{4} \mathrm{N} / \mathrm{m}^{2} ?$

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Key Concepts

Boyle's Law

Boyle's Law explains the inverse relationship between the pressure and volume of a gas at constant temperature. It states that as the pressure exerted on a gas increases, its volume decreases proportionately, and vice versa, such that the product of pressure and volume remains constant.

Isothermal Process

An isothermal process is one during which the temperature remains constant. This is a critical assumption in applying Boyle's Law, as it ensures that any changes in pressure and volume occur without variations in the gas's temperature.

Pressure Measurement and Unit Conversion

Understanding pressure units, such as Pascals (N/m²) and atmospheres, is essential when working with gas laws. Correct unit conversion is necessary to accurately apply physical laws like Boyle's Law in problems involving changes in pressure and volume.

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