University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 18 - Thermal Properties of Matter - Problems - Discussion Questions - Page 609: Q18.20

Answer

No. 596 K, or $323^{\circ}C$.

Work Step by Step

Equation 18.14 shows that the absolute temperature is proportional to the average translational kinetic energy for an ideal monatomic gas. In changing from $25^{\circ}C$ to $50^{\circ}C$, the absolute temperature did not double, so the average translational kinetic energy did not double. If the average translational kinetic energy were to double, so would the absolute temperature, from $25^{\circ}C=298K$, to $323^{\circ}C=596K$.
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