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The r.m.s velocity of hydrogen is sqrt(7...

The r.m.s velocity of hydrogen is `sqrt(7)` times the r.m.s 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))=sqrt(7)T(N_(2))`

Text Solution

Verified by Experts

The correct Answer is:
C

`U_(rms)=sqrt((3RT)/(M))`
`sqrt((3RT_(H2))/(2))=sqrt(7)sqrt((3RT_(N_(2)))/(28))`
`T_(N_(2))=2T_(H_(2)) or T_(N_(2))gt T_(H_(2))`
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