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If the rms speed of the molecules of a g...

If the rms speed of the molecules of a gas is 1000 ms' the average speed of the molecule is

A

`1000 ms^(-1)`

B

`922 ms^(-1)`

C

`780 ms^(-1)`

D

`849 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
`upsilon _(rms ) = sqrt((3RT )/( M)) , upsilon _(ar) sqrt((8RT )/( pi M ))`
` (upsilon _(Av ))/( upsilon _( rms ))= sqrt( (8 )/( 3 pi)) = 0.9216`
` upsilon = 0.9216 xx upsilon _(rms ) = 921.6 ms^(-1)`
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