Let the most probable velocity of hydrogen molecules at a temperature of `t^(@)C` be `V_(0)`. When the temperaure is raised to `(2t+273)^(@)C` the new rms velocity is (suppose all the molecules dissociate into atoms at latter temperature

Options

A. `2sqrt(3)V_(0)`
B. `sqrt(6)V_(0)`
C. `sqrt(3(2+(273)/(t)))V_(0)`
D. `sqrt((2)/(3))V_(0)`

Answer

B

Explanation

(b) `V_(0)=sqrt((2RT)/(M))=sqrt(R(273+t))`
`u_(rms)=sqrt((3(2t+273+273)R)/(1))`
`=sqrt(6(t+273)R)=sqrt(6)V_(0)`