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: 23

Answer

1.25 cubic meters

Work Step by Step

Use the ideal gas model. The amount of gas, n, is constant. The value of PV/T remains constant. $$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$$ $$V_2=V_1\frac{P_1}{P_2}\frac{T_2}{T_1}$$ $$V_2=(3.50m^3)\frac{1.00atm}{3.20atm}\frac{(273+38.0K)}{273K}=1.25m^3$$
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