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For a given gas at 1 atm pressure, rms s...

For a given gas at 1 atm pressure, rms speed of the molecules is `200 m//s` at `127^(@)C`. At 2 atm pressure and at `227^(@)C`, the speed of the molecules will be :

A

80 m/s

B

100 m/s

C

`100 sqrt(5)` m/s

D

`80 sqrt(5)` m/s

Text Solution

Verified by Experts

The correct Answer is:
C
We have `V_(r.m.s.) prop sqrt(T) :. (200)/(V)=sqrt((273+127)/(273+227)) rArr V = 100 sqrt(5) m//s`
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