The root mean square speed fo molecules of nitrogen gas is `v` at a certain temperature. When the temperature is doubled, the molecules dissociate into individual atoms. The new rms speed of the atom is:

Options

A. `sqrt2v`
B. `2v`
C. `v`
D. `4v`

Answer

B

Explanation

`v_(1) = sqrt((3RT)/(M))`
`T_(2) = 2T, M_(2) = M//2`
`v_(2) = sqrt((3R xx 2T)/(M//2)) = 2v_(1)`