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

Options

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

Answer

D

Explanation

`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