Root Mean Square Speed
rms speed v_rms of molecules is given by:
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About This Question
- Subject
- physics
- Chapter
- kinetic theory of gases
- Topic
- root mean square speed
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
√(3kT/m)
The Root Mean Square (rms) speed is the square root of the average of the squares of the speeds of the molecules. From the relation 21mvrms2=23kBT, we can solve for vrms: vrms=m3kBT Alternatively, in terms of the molar mass M and gas constant R: vrms=M3RT This is a standard measure of the average speed of particles in a gas at a certain temperature.
This easy difficulty physics question is from the chapter kinetic theory of gases, covering the topic of root mean square speed. It appeared in the 2025 exam.
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