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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
`(C_1)/(C_2) = sqrt((T_1)/(M_1) xx (M_2)/(T_2)) implies U/(C_2) = sqrt((T_1)/(28) xx 14/(2T_1))`
`(U_2)/(C_2^2) = 1/4 implies C_2 = 2U`.
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