Calculate the temperature at which the rms velocity of a gas triples its value at S.T.P. `[T_(1)=273K]`

Explanation

Temp at S.T.P. = `T_(1) = 273K`
`V_(rms)" of gas "V_(rms1)=V`
RMS velocity of gas triples i.e `V_(rms2)=3V`
New temperature at `V_(rms2)=?`
`T_(2)=?`
`V_(rms)=sqrt((3RT)/(m))i.eV_(rms)alphaT`
`(V_(rms1)^(2))/(V_(rms2)^(2))=(V^(2))/((3V)^(2))=(273)/(T_(2)`
`therefore T_(2)=273xx9`
`T_(2)=2457K`