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Physics / Physics with MasteringPhysics 4 / Chapter 17 / Problem 14P

Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker

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A balloon is filled with helium at a pressure of 2.4 × 105

Chapter 17, Problem 14P

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QUESTION:

Problem 14P

A balloon is filled with helium at a pressure of 2.4 × 105 Pa. The balloon is at a temperature of 18 °C and has a radius of 0.25 m. (a) How many helium atoms are contained in the balloon? (b) Suppose we double the number of helium atoms in the balloon, keeping the pressure and the temperature fixed. By what factor does the radius of the balloon increase? Explain.

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QUESTION:

Problem 14P

A balloon is filled with helium at a pressure of 2.4 × 105 Pa. The balloon is at a temperature of 18 °C and has a radius of 0.25 m. (a) How many helium atoms are contained in the balloon? (b) Suppose we double the number of helium atoms in the balloon, keeping the pressure and the temperature fixed. By what factor does the radius of the balloon increase? Explain.

ANSWER:

Step 1 of 4

We need to find the number of helium atoms contained in a balloon of radius at a pressure of at a temperature of and what happens to the radius if we increase the number of helium atoms to 4 times the original.

Given data:

is the volume of the gas,

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