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The average velocity of gas molecules is...

The average velocity of gas molecules is 400 m/sec calculate its rms velocity at the same temperature.

A

434.1 `ms^(–1)`

B

368.5 `ms^(–1)`

C

489.9 `ms^(–1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`{:(C_(avg) = sqrt((8RT)/(pi M_(O)))),(C_(rm s) = sqrt((3RT)/(M_(O)))):}} rArr (400)/(C_(rm s)) = sqrt((8)/(3pi)) rArr C_(rm s) = 400 xx sqrt((3 pi )/(8)) = 434.16 ms^(-1)`
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