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The rms velocity of hydrogen is sqrt(7) ...

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

A

`T(H_(2))=T(N_(2))`

B

`T(H_(2))=sqrt(7)T(N_(2))`

C

`T(N_(2))=2T(H_(2))`

D

`T(N_(2))=sqrt(7)T(H_(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
`u=sqrt((3RT)/(M)),(u(H_(2)))/(u(N_(2)))=sqrt((T(H_(2)))/(M(N_(2)))xx(M(N_(2)))/(T(N_(2))))`,
`sqrt(7)=sqrt((T(H_(2)))/(T(N_(2)))xx(28)/(2)),7=(T(H_(2)))/(T(N_(2)))xx14`
or `T(N_(2))=2T (H_(2))`
i.e., `T(N_(2)) gt T(H_(2))" or "T(H_(2)) lt T(N_(2))`.
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