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Q.

Initially, the root mean square (rms) velocity of N2 molecules at a certain temperature is u. If this temperature is doubled and all the nitrogen molecules dissociate into nitrogen atoms, then the new rms velocity will be

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a

2u

b

14u

c

4u

d

u/2

answer is A.

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Detailed Solution

The expression of root mean square speed is urms=3RTM

In the given question, T becomes double while M becomes half. Hence, the new root mean square speed is

urms=3R(2T)M/2=23RTM

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