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))gtT(N_(2))`
C. `T(H_(2))ltT(N_(2))`
D. `T(H_(2))=sqrt7(N_(2))`

Answer

C

Explanation

`u=sqrt((3RT)/(M))`
`(m(H_(2)))/(u(N_(2)))=sqrt((T(H_(2)))/(M(H_(2)))xx(M(N_(2)))/(T(N_(2))))`
`sqrt7=sqrt((T(H_(2)))/(T(N_(2)))xx(28)/(2))`
`7=(T(H_(2)))/(T(N_(2)))xx14`
`T(N_(2))=2T(H_(2))`
`"i.e. "T(N_(2))gtT(H_(2))`
`"or "T(H_(2))ltT(N_(2))`