Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 18 - A Macroscopic Description of Matter - Conceptual Questions - Page 510: 10


The temperature increases by a factor of 3

Work Step by Step

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