## University Physics with Modern Physics (14th Edition)

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