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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 (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))`

Text Solution

Verified by Experts

The correct Answer is:
C
`u = sqrt((3RT)/(M))`
`u(H_(2)) = sqrt((3RT (H_(2)))/(2))`
`u_(N_(2)) = sqrt((RT (N_(2)))/(28))`
`(u(H_(2)))/(u(N_(2))) = sqrt7`
`:. Sqrt7 = sqrt((T(H_(2)))/(2) (28)/(T(N_(2))))`
`7 = (14 xx T(H_(2)))/(T(N_(2)))`
`(1)/(2) = (T(H_(2)))/(T(N_(2)))`
`(T(H_(2)))/(T(N_(2))) lt 1`
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