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If the rms speed of the molecules of a g...

If the rms speed of the molecules of a gas at `27^(@)` C is 141.4 m/s , the rms speed at `327^(@)` C will be nearly _________ .

A

1697 m/s

B

565.6 m/s

C

282.8 m/s

D

200 m/s

Text Solution

Verified by Experts

The correct Answer is:
D
`(V_(1))/(V_(2))=sqrt((T_(2))/(T_(1)))=sqrt((327+273)/(27+273))`
`= sqrt((600)/(300))=sqrt(2)`
`:. " " V_(2)=sqrt(2)V_(1)=1.414 xx141.4`
= 200 m/s
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