At standard atmospheric pressure,at what temperature is the rms speed of Krypton atoms (83.8g/mol)equal to the speed of a cruising 747 (555 mph)?

Question

Quizplus · Accepted Answer

The root mean square (rms) speed of gas molecules is given by the formula $ v_{rms} = \sqrt{\frac{3kT}{m}} $, where $ k $ is the Boltzmann constant, $ T $ is the temperature in Kelvin, and $ m $ is the mass of a molecule. To find the temperature where the rms speed of Krypton atoms equals 555 mph (converted to meters per second), we solve for $ T $ using the molecular mass of Krypton. The calculation shows that the temperature is approximately 207 K.

At Standard Atmospheric Pressure,at What Temperature Is the Rms Speed