The temperature of an ideal gas is increased from `27^(@)C to 127^(@)C`, the percentage increase in `V_(rms)` is [2013]

Options

A. 1.56
B. 2.56
C. 15.6
D. 82.4

Answer

C

Explanation

`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`