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The temperature of an ideal gas is incre...

The temperature of an ideal gas is increased for 100 k to 400k. If at 100 K the root mean square velocity of the gas molecules is v, at 400K it becomes

A

4v

B

2v

C

v/2

D

v/4

Text Solution

Verified by Experts

The correct Answer is:
B
`C_(rms)=sqrt((3RT)/(M))` or `C_(rms)alphasqrt(T)`
`((C_(rms))_(T_(2)))/((C_(rms))_(T_(1)))=sqrt((T_(2))/(T_(1)))=sqrt((400)/(100))=2`
`(C_(rms))_(T_(2))=2(C_(rms))_(T_(1))=2xxv=2v`
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