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)) lt T_(N_(2))`
D. `T_(H_(2)) = sqrt7 T_(N_(2))`

Answer

C

Explanation

`u_(rm s) = sqrt((3RT)/(M)), (u_(rm s) (H_(2)))/(u_(rm s) (N_(2))) = sqrt7 = sqrt((T_((H_(2))))/(2) xx (28)/(T_((N_(2)))))`
`7 = (14T_((H_(2))))/(T_((N_(2)))) rArr T_((N_(2))) = 2T_((N_(2)))`