Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 13, Problem 75GP
To determine

To Find: The fraction of original gas.

Expert Solution & Answer
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Answer to Problem 75GP

The fraction of the original gas remaining in the cylinder is 20.69 % of N .

Explanation of Solution

Given information:

  Pressure P = 28 atm  P = 1 + 28 = 29 atmPressure P = 5 atm  P = 1 + 5 = 6 atm

Here one is added because the gauge pressure is the difference between the absolute pressure and the atmospheric pressures.

Formula used:

  P×V = N×k×TFraction of original gas = NNP×VN×T = k = P×VN×T 

Calculation:

Pressure decreases after blown up the many balloons, due to a decrease in pressure now we have fewer molecules inside the cylinder. We want to determine the fraction of the original gas remaining in the cylinder, for that we can use the following formula.

  P×VN×T = k = P×VN×Tk is Boltzmann constant and removes while comparing.NN = PP×TT×VV

The volume of the cylinder is the same as it is a solid cylinder. Temperature is also constant because we are having free expansion inside the cylinder. Now, we will get

  NN = PP

Substitute the given information in the above equation,

  NN = 296 = 0.2069N = 0.2069×NN = 20.69 % of N

Conclusion:

Thus, the fraction of the original gas remaining in the cylinder is 20.69 % of N .

Chapter 13 Solutions

Physics: Principles with Applications

Ch. 13 - Prob. 11QCh. 13 - Prob. 12QCh. 13 - Prob. 13QCh. 13 - Prob. 14QCh. 13 - Prob. 15QCh. 13 - Prob. 16QCh. 13 - Prob. 17QCh. 13 - Prob. 18QCh. 13 - Prob. 19QCh. 13 - Prob. 20QCh. 13 - Prob. 21QCh. 13 - Prob. 22QCh. 13 - Prob. 23QCh. 13 - Prob. 27QCh. 13 - How does the number of atoms in a 27.5-gram gold...Ch. 13 - Prob. 2PCh. 13 - (a) “Room temperature” is often taken to be 68°F....Ch. 13 - Prob. 4PCh. 13 - Prob. 5PCh. 13 - Prob. 6PCh. 13 - The Eiffel Tower (Fig. 13-31 [) is built of...Ch. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - To what temperature would you have to heat a brass...Ch. 13 - Prob. 11PCh. 13 - To make a secure fit. rivets that are larger than...Ch. 13 - An ordinary glass is filled to the brim with 450.0...Ch. 13 - An aluminum sphere is 8.75 cm in diameter. What...Ch. 13 - Prob. 15PCh. 13 - Prob. 16PCh. 13 - An aluminum bar has the desired length when at...Ch. 13 - The pendulum in a grandfather clock is made of...Ch. 13 - Prob. 19PCh. 13 - Prob. 20PCh. 13 - Prob. 21PCh. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - Prob. 24PCh. 13 - Prob. 25PCh. 13 - Prob. 26PCh. 13 - Prob. 27PCh. 13 - Prob. 28PCh. 13 - Prob. 29PCh. 13 - Prob. 30PCh. 13 - Prob. 31PCh. 13 - Prob. 32PCh. 13 - Prob. 33PCh. 13 - Prob. 34PCh. 13 - Prob. 35PCh. 13 - Prob. 36PCh. 13 - Prob. 37PCh. 13 - Prob. 38PCh. 13 - Prob. 39PCh. 13 - Prob. 40PCh. 13 - Prob. 41PCh. 13 - Prob. 42PCh. 13 - Prob. 43PCh. 13 - Prob. 44PCh. 13 - Prob. 45PCh. 13 - Prob. 46PCh. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Prob. 50PCh. 13 - Prob. 51PCh. 13 - Prob. 52PCh. 13 - Prob. 53PCh. 13 - Prob. 54PCh. 13 - Prob. 55PCh. 13 - Prob. 56PCh. 13 - Prob. 57PCh. 13 - Prob. 58PCh. 13 - Prob. 59PCh. 13 - Prob. 60PCh. 13 - Prob. 61PCh. 13 - Prob. 62PCh. 13 - Prob. 63PCh. 13 - Prob. 64PCh. 13 - Prob. 65PCh. 13 - Prob. 66PCh. 13 - Prob. 67PCh. 13 - Prob. 68PCh. 13 - Prob. 69PCh. 13 - Prob. 70PCh. 13 - Prob. 71PCh. 13 - Prob. 72PCh. 13 - Prob. 73GPCh. 13 - Prob. 74GPCh. 13 - Prob. 75GPCh. 13 - Prob. 76GPCh. 13 - Prob. 77GPCh. 13 - Prob. 78GPCh. 13 - Prob. 79GPCh. 13 - Prob. 80GPCh. 13 - Prob. 81GPCh. 13 - Prob. 82GPCh. 13 - Prob. 83GPCh. 13 - Prob. 84GPCh. 13 - Prob. 85GPCh. 13 - Prob. 86GPCh. 13 - Prob. 87GPCh. 13 - Prob. 88GPCh. 13 - Prob. 89GPCh. 13 - Prob. 90GPCh. 13 - Prob. 91GP
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