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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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`U_(AV) =sqrt((8RT)/(pi M))" ….(i)"`
`U_("rms") =sqrt((3RT)/(M))" ….(ii)`
`therefore` By Eqs. (i) and (ii)
`U_("rms") = U_(AV) xx sqrt((3pi)/(8))`
`because U_(AV) =400" m sec"^(-1)`
`therefore U_("rms") =400xxsqrt((3xx3.14)/(8) =434" m sec"^(-1)`
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