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 - Problems - Page 386: 26

Answer

2.20 atm.

Work Step by Step

Use the ideal gas model for nitrogen and for carbon dioxide. Find the number of moles of nitrogen in 21.6 kg. $$n_1=\frac{21.6\;kg}{28.0\times10^{-3}kg/mol}=771.4mol$$ Find the number of moles of carbon dioxide in 21.6 kg. $$n_2=\frac{21.6\;kg}{44.0\times10^{-3}kg/mol}=490.8 mol$$ From the ideal gas law, $\frac{RT}{V}=\frac{P}{n}$ is constant in this situation. $$\frac{P_1}{n_1}=\frac{P_2}{n_2}$$ $$P_2=P_1\frac{n_2}{n_1}=(3.45\;atm) \frac{490.8}{771.4}=2.20\;atm$$
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