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: 25

Answer

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Work Step by Step

a. Use the ideal gas law to calculate the volume. Absolute pressure must be used in this model. $$PV=nRT$$ $$V=\frac{nRT}{P}=\frac{(16.00\;mol)(8.314)(283.15K)}{(1.350atm)(1.013\times10^5\;Pa/atm)}=0.2754\;m^3$$ b. The amount of gas is unchanged. PV/T stays constant. $$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$$ $$T_2=T_1\frac{P_2V_2}{P_1V_1}$$ $$ =(283.15\;K)\frac{2.00atm}{1.350atm}\frac{1}{2}=210\;K=-63^{\circ}$$
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