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The RMS velocity of hydrogen is sqrt7 ti...

The RMS velocity of hydrogen is `sqrt7` times the RMS velocity of nitrogen. If T is the temperature of the gas

A

`T (He) = 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))`

Text Solution

Verified by Experts

The correct Answer is:
C
`mu = sqrt((3RT)/(M))`
`(mu_(He))/(mu_(N_(2))) = sqrt((T_(H_(2)))/(M_(H_(2))) xx (M_(N_(2)))/(T_(N_(2))))`
`sqrt7 = sqrt((T_(H_(2)) xx 28)/(T_(N_(2)) xx 2)) = (T_(H) xx 14)/(T_(N_(2)))`
`T_(N_(2)) = 2T_(H_(2)) rArr T_(N_(2)) gt T_(H_(2))`
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