The density of carbon dioxide gas at `0^(@)C` and at pressure `1.0 xx 10^(5) Nm^(-2)` is `1.98 kg m^(-3)`. Find the rms velocity of its molecules at `0^(@)C` and also at `30^(@)C`, assuming pressure to be constant.

Options

A. `423m//s`
B. `300m//s`
C. `100m//s`
D. `500m//s`

Explanation

`v_(ms)=sqrt((3P)/(P))=sqrt((3RT)/(M_(W))`
From I.G. equation
`P.(M)/(P)=(M)/M_(W)RT_(1)`
`M_(W)=(pRT_(1))/(P)`
`v_(ms)=sqrt((3RT_(f))/(pRT_(1))xxP`
`=sqrt(3xx10^(5)xx(273+50))/(1.98xx273)`
`=423m//s`