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The average velocity of gas molecules is...

The average velocity of gas molecules is 400 m/sec. What will be the rms velocity at the same temperature?

Text Solution

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`C_("rms") =sqrt((3RT)/(M)), C_("av") =sqrt((8RT)/(pi M))`
`(C_("rms"))/(C_("av"))=sqrt((3RT)/(M))xx sqrt((pi M)/(8RT))=sqrt((3pi)/(8))=1.085`
`C_("rms") =1.085 xx C_("av")`
`=1.085xx400`
`=434 ms^(-1)`
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