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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 then .

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
`rArr (C_(rm s)) H_(2) = sqrt7 (C_(rm s))_(N_(2)) rArr sqrt((cancel(3R)T_(H_(2)))/(2 xx 10^(-3))) = sqrt7 sqrt((cancel(3R)T_(N_(2)))/(28 xx 10^(-3)))`
`rArr (T_(H_(2)))/(1) = 7 xx (T_(N_(2)))/(14) rArr T_(H_(2)) = (T_(N_(2)))/(2) rArr T_(H_(2)) lt T_(N_(2))`
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