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The average translational energy and the...

The average translational energy and the rms speed of molecules in a sample of oxygen gas at `300K` are `6.21xx10^(-21)J` and `484m//s`, respectively. The corresponding values at `600K` are nearly (assuming ideal gas behaviour)

A

`12.42 xx 10^(-21)J,968m//s`

B

`8.78 xx 10^(-21)J,684 m//s`

C

`6.21 xx 10^(-21)J,968 m//s`

D

`12.42 xx 10^(-21)J,684 m//s`

Text Solution

Verified by Experts

The correct Answer is:
D
`KE=3/2kT` at 300 K `impliesK.E=6.21 xx 10^(-21)J`
At 600 K, (KE).=`2 xx KE=12.42 xx 10^(-21)J`
`v_(rms)=sqrt((3kT)/(m))` at 300 K `implies v_(rms)=484 m//s`
At 600 k, `(v_(rms)).=sqrt2 xx 484 =684 m//s`
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