The rms velocity of hydrogen is `sqrt(7)` times the rms velocity of nitrogen. If `T` is the temperature of the gas, then

Options

A. `T(H_(2))=T(N_(2))`
B. `T(H_(2))gt T(N_(2))`
C. `T(H_(2))ltT(N_(2))`
D. `T(H_(2))=sqrt(7)T(N_(2))`

Answer

C

Explanation

`rms(H_(2))=sqrt(3RT(H_(2)))/(2)`
`rms(N_(2))=sqrt(3Rt(N_(2)))/28`
`rms(H_(2))=sqrt7rms(N_(2))`
`sqrt(3RT(H_(2)))/(2)=sqrt(7).sqrt((3RT(N_(2)))/(28))`
`rArr 2T(H_(2))=T(N_(2))`
`:.(T(H_(2)))/(2)=(T(N_(2)))/(4)rArrT(H_(2))=(T(N_(2)))/(2)`