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The rms speed of N2 molecules in a gas i...

The rms speed of `N_2` molecules in a gas is u. If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atoms, the rms speed becomes

A

`u//2`

B

`2u`

C

`4u`

D

`14u`

Text Solution

Verified by Experts

The correct Answer is:
B
`u_(N_2) = sqrt((3RT)/(M))`
Mass of nitrogen atom`= ("Mass of nitrogen molecule")/(2) = (M)/(2)`
`u_(N_2) = sqrt((3R(2T))/(M//2)) = 2 sqrt((3RT)/(M)) = 2u_(N_2)`
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