Question
For two different gases at the same temperature, the gas
with the lighter molecules (lower molecular mass) will have, on average:Solution
In kinetic theory of gases, the average kinetic energy of a gas molecule depends only on temperature and is independent of the type of gas. The formula for average kinetic energy per molecule is: where:
- m = mass of one molecule
- M = molar mass
- Smaller the mass (lighter molecule) β higher the rms speed.
- Heavier molecule β lower the rms speed.
- It has the same average kinetic energy as heavier gas.
- But it has higher average speed.
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