For gas at a temperature T the root-mean...

For gas at a temperature `T` the root-mean-square speed `v_(rms)`, the most probable speed `v_(mp)`, and the average speed `v_(av)` obey the relationship

A

`vltv_(p)ltv_(rms)`

B

`vltv_(rms)ltv_(p)`

C

`vpltv ltv_(rms)`

D

`vplt v_(rms) ltv`

Text Solution

Verified by Experts

The correct Answer is:

C

`v_(rms)propsqrt((3RT)/M)'v_(av)=sqrt((8RT)/(piM))andv_(p)=sqrt((2RT)/M)`
`therefore" " v_(rms)gtv gt v_(p)`

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