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In the temperature changes from 27^(@)C ...

In the temperature changes from `27^(@)C` to `127^(@)C`, the relative percentage change in RMS velocity is

A

1.56

B

2.56

C

15.6

D

82.4

Text Solution

Verified by Experts

The correct Answer is:
C

`c=sqrt((3RT)/(M))`
At `27^(@)C, " "c=sqrt((3Rxx300)/(M))=sqrt(300)x`
`=17.3x" " (x=sqrt((3R)/(M)))`
At `127^(@)C`
`c=sqrt((3Rxx400)/(M))=sqrt(400)x=20x`
`:.` Increase`=20x-17.3x=2.7x`
% increase`=(2.7x)/(17.3x)xx100=15.6`
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