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Root mean square speed of an ideal gas a...

Root mean square speed of an ideal gas at 300 K is 500 m/s. Temperature is increased four times then root mean square speed will become

A

1000 m//s

B

560 m//s

C

2000 m//s

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`v_(rms)propsqrtT" "` [T=temperature in Kelvin]
`T_(1)=300K`
`T_(2)=1200K`
`(v_(2))/(v_(1))=sqrt((T_(2))/(T_(1)))=sqrt((1200)/(300))=2`
`:.v_(2)=2xx500=1000m//s`
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