Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 16 - A Macroscopic Description of Matter - Conceptual Questions - Page 463: 10


The temperature increases by a factor of 3

Work Step by Step

We can use the ideal gas law to solve this question; $PV = nRT$ $T = \frac{PV}{nR}$ (a) $T_1 = \frac{PV_1}{nR}$ We can find an expression for the new temperature $T_2$ as: $T_2 = \frac{PV_2}{nR}$ $T_2 = \frac{(P)(3V_1)}{nR}$ $T_2 = 3~\frac{PV_1}{nR}$ $T_2 = 3~T_1$ Therefore, the temperature increases by a factor of 3.
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