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For one mole of an ideal gas, increasing...

For one mole of an ideal gas, increasing the temperature from `10^@C` to `20^@C` :

A

increases the average kinetic energy by two times

B

increases the `rms` by `sqrt2` times

C

increases the `rms` by 2 times

D

increases both the average kinetic energy and `rms` velocity but not signigicantly

Text Solution

Verified by Experts

The correct Answer is:
D
`KE=3//2 RT`
`(KE_(2))/(KE_(1))=T_(2)/T_(1)=293/283=1.04` or `KE_(2)=1.04 KE_(1)`
`U=sqrt((3RT)/M) :. U_(2)/U_(1)=sqrt(T_(2)/T_(1))=sqrt(293/283)=1.02`
`:.` K as well as `v_(rms)` increase but no significantly
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