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If the absolute temperature of a gas is ...

If the absolute temperature of a gas is increased 3 times the rms velocity of the molecules will be ............. .

A

3 times

B

9 times

C

`sqrt3`times

D

`sqrt6`times

Text Solution

Verified by Experts

The correct Answer is:
C
`V_(rms) = sqrt(KT)`
`V_(rms1) = sqrt(KT) , V_(rms2) = sqrt(3KT)`
`(V_(rms2))/(V_(rms1)) = (sqrt(3KT))/(sqrt(KT)) = sqrt3`
`V_(rms2) = sqrt3 V_(rms1)`
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