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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,` then percentage increase in `v_(rms)` is

A

1.56

B

2.56

C

15.6

D

82.4

Text Solution

Verified by Experts

The correct Answer is:
C
`U=sqrt((3RT)/M)`
At `27^(@)C, U=sqrt((3xxRxx300)/M)=sqrt(300)x`
`= 17.3 x`
where `sqrt((3R)/M)=x`
At `127^(@)C, U=sqrt((3Rxx400)/M)=20x`
Increase `=(20-17.3)x=2.7 x`
`%` Increase `=2.7/17.3xx100=15.6`
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