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Back to 2.2 Pressure, Temperature, and RMS Speed

2.2 Exercise 21

Avg difficulty 2.5

In the problems in this section, assume all gases are ideal.

The escape velocity from the Moon is much smaller than that from the Earth, only 2.38 km/s. At what temperature would hydrogen molecules (molar mass is equal to 2.016 g/mol) have a root-mean-square velocity vrmsv_{\text{rms}} equal to the Moon’s escape velocity?

OpenStax University Physics Volume 2, 2.2 Pressure, Temperature, and RMS Speed, exercise 21

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Adapted from University Physics Volume 2 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 2. Imported at revision db44eb9.