Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 13 - Temperature and Kinetic Theory - General Problems - Page 388: 73

Answer

18 percent.

Work Step by Step

Use the ideal gas model. $$PV=nRT$$ The volume and the temperature of the gas stay constant. We see that the amount of gas remaining is proportional to the absolute pressure. $$\frac{RT}{V}=\frac{P}{n}$$ $$\frac{P_1}{n_1}=\frac{P_2}{n_2}$$ $$\frac{n_2}{n_1}=\frac{P_2}{P_1}=\frac{5atm+1atm}{32atm+1atm}=\frac{6}{33}$$ This is the fraction of the original gas that remains. $$\frac{6}{33}\approx 18\%$$
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