The number density of air in a child's balloon is roughly the same as sea level air, 1019 particles/cm3. If the balloon is now 20 cm in diameter, to what diameter (in km) would it need to expand to make the gas inside have the same number density as the ISM, about 1 particle/cm3?

The number density of air in a child's balloon is roughly the same as sea level air, 1019 particles/cm3. If the balloon is now 20 cm in diameter, to what diameter (in km) would it need to expand to make the gas inside have the same number density as the ISM, about 1 particle/cm3?

Stars and Galaxies (MindTap Course List)

10th Edition

ISBN:9781337399944

Author:Michael A. Seeds

Publisher:Michael A. Seeds

Chapter10: The Interstellar Medium

Section: Chapter Questions

Problem 5P

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Concept explainers

Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.

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The number density of air in a child's balloon is roughly the same as sea level air, 10¹⁹ particles/cm³. If the balloon is now 20 cm in diameter, to what diameter (in km) would it need to expand to make the gas inside have the same number density as the ISM, about 1 particle/cm³?

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