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The temperature of an ideal gas is incre...

The temperature of an ideal gas is increased from `27^(@)C to 127^(@)C`, the percentage increase in `V_(rms)` is

A

`37%`

B

`11%`

C

`33%`

D

`15.5%`

Text Solution

Verified by Experts

The correct Answer is:
D
`v_(rms)=sqrt((3RT)/(M))`
`%"increase in" v_(rms)(sqrt((3RT_(2))/(M))-sqrt((3RT_(1))/(M)))/sqrt((3RT_(1))/(M))xx100`
`=(sqrt(T_(2))-sqrtT_(1))/(sqrtT_(1))xx100=(sqrt(400)-sqrt(300))/(sqrt300)xx100`
`=(20-17.32)/(17.32)xx100=15.5%`
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