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The rms speed of N(2) molecules in a gas...

The `rms` speed of `N_(2)` molecules in a gas in `u`. If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atom, the `rms` speed becomes

A

u / 2

B

2u

C

4u

D

12u

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))=2sqrt((3RT)/(M))=2u_(N_(2))`
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