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The temperature of an ideal gas is incre...

The temperature of an ideal gas is increased from `27^(@)C` to `327^(@)C`. If the r.m.s. speed of its molecules at `27^(@)C` is `200m//s`, then the new r.m.s. speed at `600^(@)K` will be

A

`200m//s`

B

`200sqrt5m//s`

C

`200sqrt2m//s`

D

`400m//s`

Text Solution

Verified by Experts

The correct Answer is:
C
`C_(2)/C_(1)=sqrt(T_(2)/T_(1))" "thereforeC_(2)/200=sqrt(600/300)`
`thereforeC_(2)=200sqrt2m//s`
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MARVEL PUBLICATION-KINETIC THEORY OF GASES ,THERMODYNAMICS AND RADIATION-TEST YOUR GRASP - 9
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