Practice question · Estimate
Helium has molar mass 4 g/mol and oxygen 32 g/mol. At the same temperature, set how many times faster the root-mean-square speed of helium is than that of oxygen.
Estimate on a scale from Equal speeds (1x) (1) to Five times faster (5).
Hints
- Root-mean-square speed goes as the inverse square root of molar mass.
- Compute the square root of 32/4.
Show the answer
2.83 (answers within ±0.25 count)
Why
Both gases share the same average kinetic energy, so and the ratio is . Helium is not eight times faster, the square root matters, and getting it wrong is the standard error here.
Practise Gases, Kinetic Theory and Intermolecular Forces
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