The rms velocity of hydrogen of S.T.P is u `ms^(-1)` If the gas is heated at constant pressure till its volume is three fold ,what will be its final temperature and rms velocity ?

Explanation

Here `v_1 = u " ms"^(-1) , T_1 = 273K,`
`V_1=V("say"), V_2=3 V` Using Charle's for constant pressure,
`V_2/V_1=T_2/T_1`
(or) `T_2=V_2/V_1xxT_1`
`=(3V)/Vxx273=819K`
As`V_2/v_1 sqrt((T_2)/(T_1))`
`:.V_2/u=sqrt((819)/273)=sqrt3`
(or) `V_2=sqrt3u ms^(-1)`