The root mean square speed of molecules of nitrogen gas is v at a certain temperature. When the temperature is doubled, the molecules dissociate into individual atoms. Calculate the factor by which root mean square speed of the individual atoms increases.

Explanation

`u_(rms)=sqrt((3RT)/(M))`
`(u_(N))/(u_(N_(2)))=sqrt((T_(N))/(T_(N_(2)))xxM_(N_(2))/(M_(N_(2))))" or "(u_(N))/(v)=sqrt((2T)/(T)xx(28)/(14))=sqrt(4)=2`
or `u_(N)=2v`
Thus, speed of individual atoms becomes two times.