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 387: 34

Answer

It will be about 1.4 times larger in volume.

Work Step by Step

Use the ideal gas model. The amount of gas, n, is constant. The value of PV/T remains constant. The pressure inside the balloon equalizes to the outside pressure. $$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$$ $$\frac{V_2}{V_1}=\frac{P_1}{P_2}\frac{T_2}{T_1}$$ $$\frac{V_2}{V_1}=\frac{1.0 atm}{0.68atm}\frac{273.15+5.0K}{273.15+20.0K}=1.395\approx1.4$$ It will be about 1.4 times larger in volume.
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