1.

The average velocity of gas molecules is 400 ms^(-1) . Its r.m.s. velocity at the same temperature is

Answer»

`2.62 ms^(-1)`
`1.68 ms^(-1)`
`5.86 ms^(-1)`
`4.34 ms^(-1)`

SOLUTION :Average velocity, `u_(av) = sqrt(( 8RT)/( PI M))`
Root MEAN square velocity, `u _("rms") = sqrt(( 2RT)/( M))`
`(u_(rms))/( u_(av)) = (sqrt((3RT)/( M)))/(sqrt((8RT)/(piM)))`
`= sqrt(( 3pi )/( 8)) = sqrt( ( 3 xx 3.143)/( 8)) = 1.085`
`:. u_("r.m.s.") = 1.805 xx u_(av)`
`= 1.085 xx 400`
`= 4.34 ms^(-1)`


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